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CALSCALE:GREGORIAN
UID:99026ecd-9b01-4d3a-8648-b99d9fa10a9d
X-WR-TIMEZONE:UTC
X-WR-CALNAME:IAS Mathematics
BEGIN:VEVENT
UID:aee1bc7c-0450-4e45-93e0-42908a405f40
DTSTAMP:20210417T032823Z
CREATED:20200924T162057Z
DESCRIPTION:Topic: No seminar: MLK Jr. Day\n\n
DTSTART:20210118T190000Z
DTEND:20210118T200000Z
LAST-MODIFIED:20210105T200133Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-349
END:VEVENT
BEGIN:VEVENT
UID:b261bf51-1895-4907-92ca-bcc1b575c8a7
DTSTAMP:20210417T032823Z
CREATED:20210105T211830Z
DESCRIPTION:Topic: No seminar: MLK Jr. Day\n\n
DTSTART:20210118T213000Z
DTEND:20210118T223000Z
LAST-MODIFIED:20210106T192826Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-132
END:VEVENT
BEGIN:VEVENT
UID:0b7521db-825a-47d5-a3af-dfff66eaa73e
DTSTAMP:20210417T032823Z
CREATED:20210105T221531Z
DESCRIPTION:Topic: Adjoint functors\n\nSpeakers: Emanuel Reinecke\n\nAffili
ation: Member\, School of Mathematics\n\n
DTSTART:20210119T183000Z
DTEND:20210119T203000Z
LAST-MODIFIED:20210105T224957Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-11
END:VEVENT
BEGIN:VEVENT
UID:753156f6-1176-4fd1-be2d-041c291a4de3
DTSTAMP:20210417T032823Z
CREATED:20210106T221901Z
DESCRIPTION:Topic: A categorical approach to representations in defining ch
aracteristic\n\nSpeakers: Nate Harman\n\nAffiliation: Member\, School of M
athematics\n\nLet $G$ be an algebraic group defined over a finite field $F
_q$.\nThrough the lens of Tannakian formalism I will give a categorical\nd
escription of the relationship between the representation theory of\nthe a
lgebraic group $G$ and the representation theory of the finite\ngroup $G(F
_q)$ in defining characteristic.\n
DTSTART:20210119T200000Z
DTEND:20210119T220000Z
LAST-MODIFIED:20210120T001800Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-9
END:VEVENT
BEGIN:VEVENT
UID:2ab98c13-a8ad-443b-9e5d-71acceb98ec6
DTSTAMP:20210417T032823Z
CREATED:20210105T232236Z
DESCRIPTION:Topic: Stability and Invariant Random Subgroups\n\nSpeakers: He
nry Bradford\n\nAffiliation: Cambridge University\n\nDetermining whether o
r not a given finitely generated group is\npermutation stable is in genera
l a difficult problem. In this talk we\ndiscuss work of Becker\, Lubotzky
and Thom which gives\, in the case of\namenable groups\, a necessary and s
ufficient condition for permutation\nstability in terms of the invariant r
andom subgroups (IRSs) of the\ngroup. We outline some ideas from the proof
of this criterion\, give an\nintroduction to IRSs in general\, and show h
ow they yield new families\nof examples of stable and unstable groups.
DTSTART:20210120T160000Z
DTEND:20210120T171500Z
LAST-MODIFIED:20210120T133546Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-10
END:VEVENT
BEGIN:VEVENT
UID:2728fcca-8891-489d-ab03-6ff0eca61973
DTSTAMP:20210417T032823Z
CREATED:20210106T002831Z
DESCRIPTION:Topic: The linkage principle and the tilting character formula
via Smith-Treumann theory\n\nSpeakers: Daniel Juteau\n\nAffiliation: CNRS\
, Université Paris Diderot\; Member\, School of Mathematics\n\nThe linkage
principle says that the category of representations of a\nreductive group
$G$ in positive characteristic decomposes into\n'blocks' controlled by th
e affine Weyl group. We will discuss the\nbeautiful geometric proof of thi
s result that Simon Riche and Geordie\nWilliamson obtained by applying Smi
th-Treumann theory to the\nIwahori-Whittaker model of the Satake category.
.. and\, as a bonus\, a\ntilting character formula valid for all dominant
weights and all\ncharacteristics!\n\n \n\nVideo\nLink: https://www.ias.edu
/video/linkage-principle-and-tilting-character-formula-smith-treumann-theo
ry\n
DTSTART:20210120T200000Z
DTEND:20210120T220000Z
LAST-MODIFIED:20210120T134742Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:1846178a-d576-4949-a2ae-0462564a75fd
DTSTAMP:20210417T032823Z
CREATED:20210106T004649Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210120T223000Z
DTEND:20210121T000000Z
LAST-MODIFIED:20210329T180727Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-197
END:VEVENT
BEGIN:VEVENT
UID:5aa991d3-1c68-46cd-810f-2c3fbd743059
DTSTAMP:20210417T032823Z
CREATED:20201210T012957Z
DESCRIPTION:
DTSTART:20210121T150000Z
DTEND:20210121T170000Z
LAST-MODIFIED:20210106T041435Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:d72236ab-5ce9-45bd-bdd9-8dadd30a1e44
DTSTAMP:20210417T032823Z
CREATED:20210107T003220Z
DESCRIPTION:Topic: Introduction to quantized enveloping algebras\n\nSpeaker
s: Leonardo Maltoni\n\nAffiliation: Sorbonne University\n\nThis talk cover
s Chapters 4 and 5 in Jantzen's book.\n
DTSTART:20210121T210000Z
DTEND:20210121T230000Z
LAST-MODIFIED:20210121T183547Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar
END:VEVENT
BEGIN:VEVENT
UID:60a28bfb-0c59-48ed-8e0d-f99bc8d54020
DTSTAMP:20210417T032823Z
CREATED:20210106T010644Z
DESCRIPTION:Topic: Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian auto
morphic functions\n\nSpeakers: Joel Nagloo\n\nAffiliation: City University
of New York\n\nOver the last decades\, following works around the Pila-Wi
lkie counting\ntheorem in the context of o-minimality\, there has been a s
urge in\ninterest around functional transcendence results\, in part due to
their\nconnection with special points conjectures. A prime example is Pil
a's\nmodular ALW Theorem and its role in his proof of the André-Oort\nconj
ecture.\n\nIn this talk we will discuss how an entirely new approach\, usi
ng the\nmodel theory of differential fields\, can be used to prove the\nAx
-Lindemann-Weierstrass (ALW) Theorem with derivatives for Fuchsian\nautomo
rphic functions - a direct generalization of Pila’s ALW\ntheorem. We will
also explain how new cases of the André-Pink\nconjecture can be obtained u
sing this new approach. This is joint work\nwith G. Casale and J. Freitag.
\n
DTSTART:20210121T213000Z
DTEND:20210121T223000Z
LAST-MODIFIED:20210121T174127Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-435
END:VEVENT
BEGIN:VEVENT
UID:f2a22d81-8d67-4e6e-909d-01190c7ff8b1
DTSTAMP:20210417T032823Z
CREATED:20210106T021753Z
DESCRIPTION:Topic: Pseudo-rotations vs. rotations\n\nSpeakers: Başak Gürel
\n\nAffiliation: University of Central Florida\n\nThe talk will focus on t
he question of whether existing symplectic\nmethods can distinguish pseudo
-rotations from rotations (i.e.\,\nelements of Hamiltonian circle actions)
. For the projective plane\, in\nmany instances\, but not always\, the ans
wer is negative. Namely\, for\nvirtually every pseudo-rotation there exist
s a unique rotation with\nprecisely the same fixed-point data. However\, t
he hypothetical\nexceptions—ghost pseudo-rotations—suggest that the relati
on\nbetween the two classes of maps might be much weaker than previously\n
thought\, possibly leading to some unexpected consequences. This is\nbased
on joint work with Viktor Ginzburg.\n
DTSTART:20210122T141500Z
DTEND:20210122T154500Z
LAST-MODIFIED:20210122T144510Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-55
END:VEVENT
BEGIN:VEVENT
UID:a36a916f-2e76-4123-b5af-0a55c9d64c69
DTSTAMP:20210417T032823Z
CREATED:20201102T125150Z
DESCRIPTION:Topic: An Improved Exponential-Time Approximation Algorithm for
Fully-Alternating Games Against Nature\n\nSpeakers: Andrew Drucker\n\nAff
iliation: University of Chicago\n\n'Games against Nature' [Papadimitriou '
85] are two-player games of\nperfect information\, in which one player's m
oves are made randomly.\nEstimating the value of such games (i.e.\, winnin
g probability under\noptimal play by the strategic player) is an important
goal in the\nstudy of decision-making under uncertainty. The problem's\n
PSPACE-completeness does not rule out non-trivial algorithms\, a goal\nful
filled in certain cases by Littman\, Majercik\, and Pitassi [LMP\n'01]. \n
\nWe study the case in which the players strictly alternate with binary\nm
oves\, for which [LMP '01] does not give a general speedup. We give a\nran
domized algorithm to approximate the value of such games (and to\nproduce
near-optimal play) . Our algorithm achieves exponential\nsavings over brut
e-force\, making 2^{(1-delta)n} queries to the input\ngame's lookup table
for some absolute constant delta > 0\, and\ncertifies a lower bound on the
game value with exponentially-small\nexpected additive error. (On the dow
nside\, delta is tiny and the\nalgorithm uses exponential space.)\n\nOur a
lgorithm is recursive\, and bootstraps a 'base-case' algorithm for\nfixed-
size inputs. The base-case algorithm and the form of recursive\ncompositio
n used are interesting and\, we feel\, likely to find uses\nbeyond the pre
sent work.\n
DTSTART:20210125T161500Z
DTEND:20210125T171500Z
LAST-MODIFIED:20210125T154319Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-471
END:VEVENT
BEGIN:VEVENT
UID:2ec2b3ec-db16-4fd3-b806-af2a233dbc33
DTSTAMP:20210417T032823Z
CREATED:20201209T231542Z
DESCRIPTION:Topic: A nonabelian Brunn-Minkowski inequality\n\nSpeakers: Rui
xiang Zhang\n\nAffiliation: University of Wisconsin-Madison\; Member\, Sch
ool of Mathematics\n\nThe celebrated Brunn-Minkowski inequality states tha
t for compact\nsubsets $X$ and $Y$ of $\Bbb{R}^d$\, $m(X+Y)^{1/d} \geq\nm(
X)^{1/d}+m(Y)^{1/d}$ where $m(\cdot)$ is the Lebesgue measure. We\nwill in
troduce a conjecture generalizing this inequality to every\nlocally compac
t group where the exponent is believed to be sharp. In a\njoint work with
Yifan Jing and Chieu-Minh Tran\, we prove this\nconjecture for a large cla
ss of groups (including e.g. all real linear\nalgebraic groups). We also p
rove that the general conjecture will\nfollow from the simple Lie group ca
se. For those groups where we do\nnot know the conjecture yet (one typical
example being the universal\ncovering of $SL_2(\Bbb{R})$)\, we also obtai
n partial results. In this\ntalk I will discuss this inequality and explai
n important ingredients\,\nold and new\, in our proof.\n
DTSTART:20210125T190000Z
DTEND:20210125T200000Z
LAST-MODIFIED:20210125T193835Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-212
END:VEVENT
BEGIN:VEVENT
UID:2dd0185f-4abe-4ce2-bba0-7ad07d3ec8c4
DTSTAMP:20210417T032823Z
CREATED:20210105T211845Z
DESCRIPTION:Topic: Bogoliubov theory for trapped Bose-Einstein condensates
\n\nSpeakers: Benjamin Schlein\n\nAffiliation: University of Zurich\n\nWe
consider systems of $N$ particles interacting through a repulsive\npotenti
al in the Gross-Pitaevskii regime. We prove complete\nBose-Einstein conden
sation and we determine the form of the low-energy\nspectrum\, in the limi
t of large $N$. Our results confirm the\npredictions of Bogoliubov theory.
This talk is based on joint works\nwith C. Boccato\, C. Brennecke and S.
Cenatiempo.\n
DTSTART:20210125T213000Z
DTEND:20210125T223000Z
LAST-MODIFIED:20210125T194106Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-133
END:VEVENT
BEGIN:VEVENT
UID:a8a82382-e498-4887-89bb-7468e88677c9
DTSTAMP:20210417T032823Z
CREATED:20201105T141350Z
DESCRIPTION:Topic: Log-concave polynomials in theory and applications\n\nSp
eakers: Cynthia Vinzant\n\nAffiliation: Member\, School of Mathematics\n\n
A polynomial with nonnegative coefficients is strongly log-concave if\nit
and all of its derivatives are log-concave as functions on the\npositive o
rthant. This rich class of polynomials includes many\ninteresting examples
\, such as homogeneous real stable polynomials and\nmixed volume polynomia
ls of convex bodies. Its structure is intimately\nrelated to combinatorial
objects called matroids and generalized\npermutahedra. This theory gives
powerful tools for showing discrete\nlog-concavity of finite sequences. Di
stributions coming from the\ncoefficients of such polynomials can also be
approximately sampled. In\nthis talk I will go over the structural propert
ies of this rich class\nof real polynomials and discuss applications in co
mbinatorics and\ncomputer science.\n\nThis talk is based on joint work wit
h Nima Anari\, Kuikui Liu and\nShayan Oveis Gharan.\n
DTSTART:20210126T153000Z
DTEND:20210126T173000Z
LAST-MODIFIED:20210126T145659Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-466
END:VEVENT
BEGIN:VEVENT
UID:5b2b423d-77db-44db-b1ee-3f14df04499b
DTSTAMP:20210417T032823Z
CREATED:20210105T221548Z
DESCRIPTION:Topic: Accessible and presentable ∞-categories\n\nSpeakers: Sop
hie Morel\n\nAffiliation: École normale supérieure de Lyon\n\n
DTSTART:20210126T183000Z
DTEND:20210126T203000Z
LAST-MODIFIED:20210105T225018Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-12
END:VEVENT
BEGIN:VEVENT
UID:c02af294-7ea9-4633-aaa2-70b5e93ea161
DTSTAMP:20210417T032823Z
CREATED:20210106T221918Z
DESCRIPTION:Topic: Why do we care about characters of tilting modules?\n\nS
peakers: Shotaro Makisumi\n\nAffiliation: Columbia University\; Member\, S
chool of Mathematics\n\nI will explain the basics of tilting modules for r
eductive algebraic\ngroups and why we should care about their characters.
In particular\, I\nwill discuss Donkin's tensor product theorem and the re
lation to\nmodular representations of symmetric groups. The latter will pr
ovide\nmotivation for our focus on tilting characters for $SL_3$ in future
\ntalks of this seminar.\n
DTSTART:20210126T200000Z
DTEND:20210126T220000Z
LAST-MODIFIED:20210120T155228Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:400ef8ef-af68-4c68-a6b9-c66154e1c174
DTSTAMP:20210417T032823Z
CREATED:20210105T233015Z
DESCRIPTION:Topic: Stability of amenable groups via ergodic theory\n\nSpeak
ers: Arie Levit \n\nAffiliation: Yale University\n\nI will describe how ba
sic ergodic theory can be used to prove that\ncertain amenable groups are
stable. I will demonstrate our method by\nshowing that lamplighter groups
are stable. Another uncountably\ninfinite family to which our method appli
es are the so-called B.H.\nNeumann groups. This is the first construction
of an uncountable\nfamily of stable groups. The talk is based on joint wor
k with Alex\nLubotzky\, relying on the Invariant-Random-Subgroup criterion
for\nstability developed by Becker-Lubotzky-Thom.
DTSTART:20210127T160000Z
DTEND:20210127T171500Z
LAST-MODIFIED:20210127T142451Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-11
END:VEVENT
BEGIN:VEVENT
UID:44119519-332a-4b52-ade6-8f6537579403
DTSTAMP:20210417T032823Z
CREATED:20210106T002850Z
DESCRIPTION:Topic: The Hecke category action on the principal block via Smi
th theory\n\nSpeakers: Geordie Williamson\n\nAffiliation: University of Sy
dney\; Distinguished Visiting Professor\, School of Mathematics\n\nWall-cr
ossing functors on the principal block of category $O$ give an\naction of
the (finite) Hecke category. If one knows enough about the\nHecke category
\, one can deduce the Kazhdan-Lusztig conjectures from\nthe existence of t
his action. This is a simple example of the power of\ncategorification. In
2013\, Riche and I conjectured that something\nsimilar is true for the pr
incipal block of reductive algebraic groups:\nnamely that wall-crossing fu
nctors give an action of the (affine)\nHecke category. We showed that the
conjecture implies several rather\ndeep statements in representation theor
y (mod $p$ analogues of the\nKazhdan-Lusztig conjectures). Recently\, this
conjecture has been\nproved in two different ways: the first (by Bezrukav
nikov and Riche)\nvia mod $p$ localization and the second (by my student J
osh Ciappara)\nvia Smith theory. I will give an outline of Josh's proof.\n
Bezrukavnikov and Riche's proof will be discussed later in the\nseminar.\n
DTSTART:20210127T200000Z
DTEND:20210127T220000Z
LAST-MODIFIED:20210122T153830Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:dfc2a18a-88a0-4132-9372-ac0c1b9e3be5
DTSTAMP:20210417T032823Z
CREATED:20210106T004707Z
DESCRIPTION:Topic: Möbius Disjointness\n\nSpeakers: Peter Sarnak\n\nAffilia
tion: Professor\, School of Mathematics\n\nThe Möbius function $\mu(n)$ me
asures the parity of number of prime\nfactors of $n$ (if $n$ is square fre
e). Understanding the randomness\nin this function (often referred to as t
he Möbius randomness\nprinciple) is a fundamental and very difficult probl
em. A basic\nconjecture concerns the disjointness of this sequence from ob
servables\nin zero entropy dynamical systems. We review the formulation\,
\nintuition\, and a few of the many recent advances around the\nconjecture
.\n
DTSTART:20210127T223000Z
DTEND:20210128T000000Z
LAST-MODIFIED:20210329T180746Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-198
END:VEVENT
BEGIN:VEVENT
UID:5933f532-133e-43f6-80fd-57a2c75a56ed
DTSTAMP:20210417T032823Z
CREATED:20201210T013011Z
DESCRIPTION:
DTSTART:20210128T150000Z
DTEND:20210128T170000Z
LAST-MODIFIED:20210106T041533Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:6c654ab5-44c2-45f0-8801-3e079e365c8f
DTSTAMP:20210417T032823Z
CREATED:20201208T195814Z
DESCRIPTION:Topic: Exponential Exact Algorithms for NP Complete Problems\n
\nSpeakers: Or Zamir\n\nAffiliation: Member\, School of Mathematics\n\n
DTSTART:20210128T200000Z
DTEND:20210128T201500Z
LAST-MODIFIED:20210128T154522Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Short Talks by Postdoctoral Members
URL:https://www.ias.edu/math/events/short-talks-postdoctoral-members-532
END:VEVENT
BEGIN:VEVENT
UID:93978d49-3085-4690-910c-51a06754f849
DTSTAMP:20210417T032823Z
CREATED:20201208T195549Z
DESCRIPTION:Topic: Distribution properties of Hodge and Tate loci.\n\nSpeak
ers: Salim Tayou\n\nAffiliation: Member\, School of Mathematics\n\n
DTSTART:20210128T202000Z
DTEND:20210128T203500Z
LAST-MODIFIED:20210128T154701Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Short Talks by Postdoctoral Members
URL:https://www.ias.edu/math/events/short-talks-postdoctoral-members-531
END:VEVENT
BEGIN:VEVENT
UID:d8a6dc4f-3556-4889-ba53-f0e904b6a757
DTSTAMP:20210417T032823Z
CREATED:20201208T194912Z
DESCRIPTION:Topic: Cohomology of Arithmetic Groups and Endoscopy\n\nSpeaker
s: Mathlide Gerbelli-Gauthier\n\nAffiliation: Member\, School of Mathemati
cs\n\n
DTSTART:20210128T204000Z
DTEND:20210128T205500Z
LAST-MODIFIED:20210128T154845Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Short Talks by Postdoctoral Members
URL:https://www.ias.edu/math/events/short-talks-postdoctoral-members-530
END:VEVENT
BEGIN:VEVENT
UID:9f8f5f91-2a8e-4232-9b99-aef493c5871c
DTSTAMP:20210417T032823Z
CREATED:20210107T004824Z
DESCRIPTION:Topic: Introduction to quantized enveloping algebras\n\nSpeaker
s: Leonardo Maltoni\n\nAffiliation: Sorbonne University\n\nContinuation of
the talk from last time.\n
DTSTART:20210128T210000Z
DTEND:20210128T230000Z
LAST-MODIFIED:20210129T143006Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-0
END:VEVENT
BEGIN:VEVENT
UID:912bce77-e84d-4fa5-93e4-a7bdb79f086c
DTSTAMP:20210417T032823Z
CREATED:20210106T010706Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210128T213000Z
DTEND:20210128T223000Z
LAST-MODIFIED:20210120T002233Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-436
END:VEVENT
BEGIN:VEVENT
UID:ae545814-70e3-408c-b25e-9791e706ea6a
DTSTAMP:20210417T032823Z
CREATED:20210106T021810Z
DESCRIPTION:Topic: Three 20 minute research talks\n\nSpeakers: Alexandre Ja
nnaud\, Tim Large\, Oliver Edtmair\n\nAffiliation: Sorbonne University\; M
assachusetts Institute of Technology\; University of California\, Berkeley
\n\nALEXANDRE JANNAUD (SORBONNE)\, _Dehn-Seidel twist\, $C^0$ symplectic\n
geometry and barcodes_\n_Abstract: _In this talk I will present my work in
itiating the study\nof the $C^0$ symplectic mapping class group\, i.e. the
group of isotopy\nclasses of symplectic homeomorphisms\, and briefly pres
ent the proofs\nof the first results regarding the topology of the group o
f symplectic\nhomeomorphisms. For that purpose\, we will introduce a metho
d coming\nfrom Floer theory and barcodes theory. Applying this strategy to
the\nDehn-Seidel twist\, a symplectomorphism of particular interest when
\nstudying the symplectic mapping class group\, we will generalize to\n$C^
0$ settings a result of Seidel concerning the non-triviality of the\nmappi
ng class of this symplectomorphism. We will indeed prove that the\ngeneral
ized Dehn twist is not in the connected component of the\nidentity in the
group of symplectic homeomorphisms. Doing so\, we prove\nthe non-trivialit
y of the $C^0$ symplectic mapping class group of some\nLiouville domains.
\n\nTIM LARGE (MIT)\, Floer K-theory and exotic Liouville manifolds\n\nOLI
VER EDTMAIR (BERKELEY)\, _3D convex contact forms and the Ruelle\ninvarian
t\nAbstract: _Is every dynamically convex contact form on the three\nspher
e convex? In this talk I will explain why the answer to this\nquestion is
no. The strategy is to derive a lower bound on the Ruelle\ninvariant of co
nvex contact forms and construct dynamically convex\ncontact forms violati
ng this lower bound. This is based on joint work\nwith Julian Chaidez.\n
DTSTART:20210129T141500Z
DTEND:20210129T154500Z
LAST-MODIFIED:20210129T145111Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-56
END:VEVENT
BEGIN:VEVENT
UID:a825b888-14cf-4139-b8b2-dc4aac1a2403
DTSTAMP:20210417T032823Z
CREATED:20201102T131735Z
DESCRIPTION:Topic: Graph Density Inequalities\, Sums of Squares and Tropica
lization\n\nSpeakers: Annie Raymond\n\nAffiliation: University of Massachu
setts Amherst\n\nEstablishing inequalities among graph densities is a cent
ral pursuit\nin extremal graph theory. One way to certify the nonnegativit
y of a\ngraph density expression is to write it as a sum of squares or as
a\nrational sum of squares. In this talk\, we will explore how one does so
\nand we will then identify simple conditions under which a graph\ndensity
expression cannot be a sum of squares or a rational sum of\nsquares. Trop
icalization will play a key role for the latter.\n\nThis is joint work wit
h Greg Blekherman\, Mohit Singh\, and Rekha\nThomas.\n
DTSTART:20210201T161500Z
DTEND:20210201T171500Z
LAST-MODIFIED:20210201T143745Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-472
END:VEVENT
BEGIN:VEVENT
UID:4dc49c7f-6162-4b37-9a81-006da55d1280
DTSTAMP:20210417T032823Z
CREATED:20201209T231555Z
DESCRIPTION:Topic: no seminar: snow\n\n
DTSTART:20210201T190000Z
DTEND:20210201T200000Z
LAST-MODIFIED:20210201T153036Z
LOCATION:
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-351
END:VEVENT
BEGIN:VEVENT
UID:e5c1cb77-bf15-4453-ba9a-2904957f421f
DTSTAMP:20210417T032823Z
CREATED:20210105T211902Z
DESCRIPTION:Topic: Index theorems for nodal count and a lateral variation p
rinciple\n\nSpeakers: Gregory Berkolaiko\n\nAffiliation: Texas A&M Univers
ity\n\nOur study is motivated by earlier results about nodal count of\nLap
lacian eigenfunctions on manifolds and graphs that share the same\nflavor:
a normalized nodal count is equal to the Morse index of a\ncertain energy
functional at the critical point given by the\neigenfunction in question
(the precise meaning of the 'normalized\ncount' and the 'energy functional
' depends on the setting of the\nproblem). In the hindsight\, in all these
results\, the nodal count can\nbe understood as the spectral shift obtain
ed by perturbing the\noperator in an appropriate way. This brings us to th
e following\ngeneral result: the spectral shift can be recovered as the st
ability\nindex of the eigenvalue with respect to small 'lateral' variation
s of\nthe perturbation. Based on joint work with Y. Canzani\, G. Cox\, P.
\nKuchment and J. Marzuola\, as well as earlier work with R. Band\, Y.\nCo
lin de Verdiere\, H. Raz\, U. Smilansky and T. Weyand.\n
DTSTART:20210201T213000Z
DTEND:20210201T223000Z
LAST-MODIFIED:20210201T144822Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-134
END:VEVENT
BEGIN:VEVENT
UID:b45de612-1689-40e1-b0c6-b1534d1d7652
DTSTAMP:20210417T032823Z
CREATED:20201105T141632Z
DESCRIPTION:Topic: Log-concave polynomials in theory and applications - Par
t 2\n\nSpeakers: Cynthia Vinzant\n\nAffiliation: Member\, School of Mathem
atics\n\nA polynomial with nonnegative coefficients is strongly log-concav
e if\nit and all of its derivatives are log-concave as functions on the\np
ositive orthant. This rich class of polynomials includes many\ninteresting
examples\, such as homogeneous real stable polynomials and\nmixed volume
polynomials of convex bodies. Its structure is intimately\nrelated to comb
inatorial objects called matroids and generalized\npermutahedra. This theo
ry gives powerful tools for showing discrete\nlog-concavity of finite sequ
ences. Distributions coming from the\ncoefficients of such polynomials can
also be approximately sampled. In\nthis talk I will go over the structura
l properties of this rich class\nof real polynomials and discuss applicati
ons in combinatorics and\ncomputer science.\n\nThis talk is based on joint
work with Nima Anari\, Kuikui Liu and\nShayan Oveis Gharan.\n
DTSTART:20210202T153000Z
DTEND:20210202T173000Z
LAST-MODIFIED:20210202T210509Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-467
END:VEVENT
BEGIN:VEVENT
UID:4eaf953f-749d-4e5e-9e39-7654aa3c8d80
DTSTAMP:20210417T032823Z
CREATED:20210105T221607Z
DESCRIPTION:Topic: ∞-topoi\n\nSpeakers: Ian Coley\n\nAffiliation: Rutgers U
niversity\n\n
DTSTART:20210202T183000Z
DTEND:20210202T203000Z
LAST-MODIFIED:20210202T021559Z
LOCATION:Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-13
END:VEVENT
BEGIN:VEVENT
UID:51bce8e8-19a4-4843-84b4-602a332017c8
DTSTAMP:20210417T032823Z
CREATED:20210106T221933Z
DESCRIPTION:Topic: User's guide to computing with tilting modules\n\nSpeake
rs: Benjamin Elias\n\nAffiliation: University of Oregon\; von Neumann Fell
ow\, School of Mathematics\n\nA basic technique in algebra\, when describi
ng a difficult-to-approach\ncategory like Tilt\, is to choose a projective
generator and study its\nendomorphism ring. The modern twist on this tech
nique is to choose the\nprojective generator with great naivety: rather th
an attempting the\ndifficult task of studying the minimal projective gener
ator\, one\nstudies a combinatorial and highly redundant projective genera
tor. For\nexample\, indecomposable tilting modules over an algebraic group
can be\nhard to access\, but iterated tensor products of fundamental\nrep
resentations (which form a subcategory Fund) are fairly\nstraightforward.
Morphisms in Fund can be described by generators and\nrelations using so-c
alled web algebras (in some types). Since every\nindecomposable tilting mo
dule is a direct summand of an object of\nFund\, one can recover the categ
ory of tilting modules by taking the\nKaroubi envelope of the web category
\, which formally adds all images\nof idempotents as new objects.This appr
oach makes the study of tilting\nmodules tractable\, by separating the com
plexity of tilting modules\nfrom the process of finding a presentation\, a
nd instead putting this\ncomplexity in the formal process of taking the Ka
roubi envelope (i.e.\nfinding idempotents). Thankfully\, most of the numer
ical behavior of\ntilting modules can be computed within Fund\, using basi
c techniques\nlike the cellular filtration and the local intersection pair
ing. The\npurpose of this talk is to introduce web algebras\, local inters
ection\npairings\, and techniques of idempotent computation. These computa
tions\nare what helped me most to internalize why tilting modules exhibit
\nfractal\, generational behavior. Since most of the techniques are basic
\nalgebra\, it should be accessible to all\, and I expect the discussion\n
to be either yawningly familiar or fairly novel depending on the\naudience
member. With the Riche-Williamson theorem in place\, there is\na more eff
icient way to compute multiplicities in the trivial block\nTilt$_0$ than c
omputing within Tilt itself: one computes instead with\nthe antispherical
module $M$ over the affine Hecke category. Though\nthe setting is differen
t ($M$ rather than Tilt) the techniques are the\nsame. One finds a combina
torial subcategory (iterated wall-bouncing\nfunctors applied to the trivia
l representation)\, describes it by\ngenerators and relations (Soergel dia
grammatics)\, and uses local\nintersection pairings to compute idempotents
and multiplicities. Time\npermitting\, I will begin to describe this sett
ing.\n
DTSTART:20210202T200000Z
DTEND:20210202T220000Z
LAST-MODIFIED:20210201T215555Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:e141296e-8261-483e-8aaf-32a08d8c9c69
DTSTAMP:20210417T032823Z
CREATED:20210105T233030Z
DESCRIPTION:Topic: Permutation stability of Grigorchuk groups\n\nSpeakers:
Tianyi Zheng\n\nAffiliation: University of California\, San Diego\n\nA rec
ent result of Becker\, Lubotzky and Thom characterizes\, for\namenable gro
ups\, permutation stability in terms of co-soficity of\ninvariant random s
ubgroups (IRS). We will explain that for a class of\namenable groups actin
g on rooted trees\, including the Grigorchuk\ngroup\, the IRS co-soficity
condition is verified. One key ingredient\nin the proof is the so called “
double commutator” lemma for IRS\,\nwhich is an analogue of the classical
lemma known for normal\nsubgroups. All notions will be defined and explain
ed.
DTSTART:20210203T160000Z
DTEND:20210203T171500Z
LAST-MODIFIED:20210203T141152Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-12
END:VEVENT
BEGIN:VEVENT
UID:272b840c-216f-4b7c-b82b-3aa014d7ad01
DTSTAMP:20210417T032823Z
CREATED:20210106T002906Z
DESCRIPTION:Topic: The K-ring of Steinberg varieties\n\nSpeakers: Pablo Boi
xeda Alvarez\n\nAffiliation: Member\, School of Mathematics\n\nIn the upco
ming series of talks we discuss some equivalences by\nBezrukavnikov betwee
n categories of coherent sheaves on Steinberg\nvarieties and of perverse s
heaves on the affine flag variety. In this\ntalk I discuss the decategorif
ied isomorphism preceeding\nBezrukavnikov’s equivalence of categories. Thi
s is a ring\nisomorphism of the $K$-ring of the Steinberg variety under co
nvolution\nand the affine Hecke algebra originally due to Kazhdan\, Luszti
g and\nGinzburg.\n
DTSTART:20210203T200000Z
DTEND:20210203T220000Z
LAST-MODIFIED:20210203T141758Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:373b4a1d-b8eb-4417-aedc-9cc8917c50dc
DTSTAMP:20210417T032823Z
CREATED:20210106T004725Z
DESCRIPTION:Topic: How hard is it to tell two knots apart?\n\nSpeakers: Ana
stasiia Tsvietkova\n\nAffiliation: Rutgers University\; von Neumann Fellow
\, School of Mathematics\n\nMany problems in classical topology can be for
mulated as decision\nproblems\, with yes/no answer and an algorithm as a s
olution. While\nsuch problems often appear to be intuitively hard\, we sti
ll know\nlittle about lower bounds on their algorithmic complexity. For\ne
xample\, distinguishing knots started as a knot tabulation effort in\nVict
orian England\, and is still ongoing. A number of intricate\nalgorithms no
w exist. While this makes the problem decidable\, none of\nthe algorithms
are polynomial\, and there are no known lower bounds on\nthe complexity of
this problem. We will review recent advances\nconcerning complexity of re
lated problems: recognizing an unknot\,\ndetecting various sublinks\, gett
ing from one link diagram to another\nby Reidemesiter moves\, and homeomor
phism of 3-manifolds. Aside from\nlong term interest of topologists in the
se problems\, they provide new\nexamples of problems that are NP-hard\, NP
-complete\, or lie in the\nintersection of NP and co-NP classes\, but do n
ot have a known\npolynomial algorithm.\n
DTSTART:20210203T223000Z
DTEND:20210204T000000Z
LAST-MODIFIED:20210329T180806Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-199
END:VEVENT
BEGIN:VEVENT
UID:d9d9d374-b6d2-411e-839e-cb7b39fdcdc5
DTSTAMP:20210417T032823Z
CREATED:20201210T013023Z
DESCRIPTION:
DTSTART:20210204T150000Z
DTEND:20210204T170000Z
LAST-MODIFIED:20210106T041631Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:c58c1c7e-7a97-4c9c-b07a-8fdb1162fdd6
DTSTAMP:20210417T032823Z
CREATED:20210107T004841Z
DESCRIPTION:Topic: Center of quantum group\n\nSpeakers: Arun Kannan\n\nAffi
liation: Massachusetts Institute of Technology\n\nThe talk covers Chapter
6 in Jantzen's book.\n
DTSTART:20210204T210000Z
DTEND:20210204T230000Z
LAST-MODIFIED:20210205T011622Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-1
END:VEVENT
BEGIN:VEVENT
UID:d4619829-1509-480b-9196-abec0f2252c3
DTSTAMP:20210417T032823Z
CREATED:20210106T010723Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210204T213000Z
DTEND:20210204T223000Z
LAST-MODIFIED:20210204T172402Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-437
END:VEVENT
BEGIN:VEVENT
UID:8ab8bfcb-84e2-4f27-bf47-a708e4c11cf3
DTSTAMP:20210417T032823Z
CREATED:20210106T021826Z
DESCRIPTION:Topic: Algebraic torus actions on Fukaya categories and tamenes
s of change in Floer homology under symplectic isotopies\n\nSpeakers: Yusu
f Barış Kartal\n\nAffiliation: Princeton University\n\nThe purpose of this
talk is to explore how Lagrangian Floer homology\ngroups change under (no
n-Hamiltonian) symplectic isotopies on a\n(negatively) monotone symplectic
manifold $(M\,\omega)$ satisfying a\nstrong non-degeneracy condition. Mor
e precisely\, given two Lagrangian\nbranes $L\,L'$\, consider family of Fl
oer homology groups\n$HF(\phi_v(L)\,L')$\, where $v\in H^1(M\,\mathbb R)$
and $\phi_v$ is the\ntime-1 map of a symplectic isotopy with flux $v$. We
show how to fit\nthis collection into an algebraic sheaf over the algebrai
c torus\n$H^1(M\,\mathbb G_m)$. The main tool is the construction of an\n'
algebraic action' of $H^1(M\,\mathbb G_m)$ on the Fukaya category. As\nan
application\, we deduce the change in Floer homology groups satisfy\nvario
us tameness properties\, for instance\, the dimension is constant\noutside
an algebraic subset of $H^1(M\,\mathbb G_m)$. Similarly\, given\nclosed $
1$-form $\alpha$\, which generates a symplectic isotopy denoted\nby $\phi_
\alpha^t$\, the Floer homology groups\n$HF(\phi_\alpha^t(L)\,L')$ have ran
k that is constant in $t$\, with\nfinitely many possible exceptions.\n
DTSTART:20210205T141500Z
DTEND:20210205T154500Z
LAST-MODIFIED:20210205T205623Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-57
END:VEVENT
BEGIN:VEVENT
UID:502a189d-55c9-4e00-9cc1-69de66b4a478
DTSTAMP:20210417T032823Z
CREATED:20201102T134103Z
DESCRIPTION:Topic: Total Functions in the Polynomial Hierarchy\n\nSpeakers:
Robert Kleinberg\n\nAffiliation: Cornell University\n\nNon-constructive e
xistence proofs\, which establish the existence of\nobjects without furnis
hing an efficient algorithm to produce examples\,\nabound in mathematics.
How hard is it\, computationally\, to find\nobjects whose existence is gua
ranteed non-constructively? Since the\n1980's complexity theorists have be
en classifying these search\nproblems into broad classes of computationall
y equivalent problems\,\neach corresponding to a different non-constructiv
e proof principle\,\nsuch as the pigeonhole principle\, the local search p
rinciple (that any\nfunction on a finite graph has a local minimum)\, and
the parity\nprinciple (that a finite set of odd cardinality cannot be empt
y). All\nof these problems are contained in the complexity class TFNP\,\nc
onsisting of search problems for which a solution is guaranteed to\nexist
and the validity of a solution can be efficiently verified. \n\nOne of the
most successful non-constructive methods for proving\nexistence of combin
atorial objects\, the probabilistic method\, does not\nseem to be captured
by TFNP because the applications of the\nprobabilistic method often yield
existence of objects whose properties\nare hard to verify computationally
. For example\, Erdos famously used\nthe probabilistic method to prove the
existence of 'Ramsey graphs'\nhaving no large cliques or independent sets
\; however\, it is hard to\nverify that a given graph is a Ramsey graph. T
his motivates exploring\nthe complexity of search problems for which exist
ence of solutions is\nstill guaranteed but efficient verification of solut
ions is no longer\npossible. Many such problems can be organized into a hi
erarchy\ndepending on the number of alternating quantifiers in the logical
\nformula that solutions must satisfy. At the second level of the\nhierarc
hy we encounter a class that seems especially rich in such\nproblems: PEPP
(for “polynomial empty pigeonhole principle”)\,\nwhich includes problems
related to probabilistic-method proofs based\non the union bound. Examples
include finding a bit string that is far\nfrom all codewords\, finding an
explicit rigid matrix\, as well as a\nproblem we call Complexity\, captur
ing Complexity Theory’s quest to\nfind functions that cannot be computed b
y small circuits. When the\nunion bound is generous\, in that solutions co
nstitute at least a\npolynomial fraction of the domain\, we have a family
of seemingly\nweaker classes α-PEPP. Higher in the hierarchy\, we identify
the\nconstructive version of the Sauer-Shelah lemma and the appropriate\n
generalization of PPP that contains it\, as well as the problem of\nfindin
g a king in a tournament (a vertex k such that all other\nvertices are def
eated by k\, or by somebody k defeated).\n\nJoint work with Oliver Korten\
, Dan Mitropolsky\, and Christos\nPapadimitriou.\n
DTSTART:20210208T161500Z
DTEND:20210208T171500Z
LAST-MODIFIED:20210208T151550Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-473
END:VEVENT
BEGIN:VEVENT
UID:5262cf20-3d49-4d70-b388-6d9c46105afd
DTSTAMP:20210417T032823Z
CREATED:20201209T231610Z
DESCRIPTION:Topic: The top-heavy conjecture for vectors and matroids\n\nSpe
akers: Tom Braden\n\nAffiliation: University of Massachusetts\, Amherst\;
Member\, School of Mathematics\n\nA 1948 theorem of de Bruijn and Erdős sa
ys that if $n$ points in a\nprojective plane do not lie all on a line\, th
en they determine at\nleast n lines. More generally\, Dowling and Wilson c
onjectured in 1974\nthat for any finite set of vectors spanning a $d$-dime
nsional vector\nspace\, the number of $k$-dimensional spaces that they spa
n is at most\nthe number of $(d-k)$-dimensional spaces they span\, for all
$k$\nsmaller than $d/2$. In fact\, Dowling and Wilson conjectured this mo
re\ngenerally for matroids\, a combinatorial abstraction of incidence\ngeo
metries which do not have to arise from actual vector\nconfigurations. The
conjecture for vector configurations was proved in\n2017 by Huh and Wang\
, using the hard Lefschetz Theorem for\nintersection cohomology applied to
a singular algebraic variety\nassociated to the vector configuration. I w
ill discuss their proof\,\nand also more recent joint work with Huh\, Math
erne\, Proudfoot and Wang\nwhich proves the conjecture for all matroids\,
by constructing a\ncombinatorial replacement for intersection cohomology w
hich makes\nsense even for matroids which do not arise from a vector\nconf
iguration.\n
DTSTART:20210208T190000Z
DTEND:20210208T200000Z
LAST-MODIFIED:20210208T151854Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-352
END:VEVENT
BEGIN:VEVENT
UID:8243498b-1433-404f-be5c-3b67b7785b0c
DTSTAMP:20210417T032823Z
CREATED:20210105T211919Z
DESCRIPTION:Topic: Planarity in Higher Codimension Mean Curvature Flow\n\nS
peakers: Keaton Naff\n\nAffiliation: Columbia University\n\nWe will discus
s the mean curvature flow of $n$-dimensional\nsubmanifolds in $\mathbb{R}^
{n+k}$ satisfying a pinching condition\n$|A|^2 < c|H|^2$ introduced by And
rews and Baker (2010). For suitable\nconstants $c$\, these flows resemble
flows of convex hypersurfaces and\ntwo-convex hypersurfaces\, studied in H
uisken (1984) and\nHuisken-Sinestrari (2009). After observing that singula
rity formation\nalways appears to be codimension one\, we will discuss a q
uantitative\nestimate for this behavior. Then we will discuss several appl
ications.\n
DTSTART:20210208T213000Z
DTEND:20210208T223000Z
LAST-MODIFIED:20210208T152146Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-135
END:VEVENT
BEGIN:VEVENT
UID:8beca2f1-613b-4dc0-86b2-b3dd81529595
DTSTAMP:20210417T032823Z
CREATED:20201105T141703Z
DESCRIPTION:Topic: High dimensional expanders\n\nSpeakers: Shai Evra\n\nAff
iliation: Princeton University\n\nExpander graphs are graphs which simulta
neously are both sparse and\nhighly connected. The theory of expander grap
hs received a lot of\nattention in the past half a century\, from both com
puter science and\nmathematics. In recent years\, a new theory of high dim
ensional\nexpanders have emerged. In his seminal work\, Gromov raised the
\nfollowing main question: Do (bounded degree) high dimensional\nexpanders
exist? A culmination of several works by experts in the\nfield resulted
in a positive answer to Gromov's question (according to\nhis definition).
\n\nIn this talk\, I will give a quick introduction to the theory of high
\ndimensional expanders\, describe the challenges this theory\noffers\, an
d explain the known techniques to construct such (bounded\ndegree) high di
mensional expanders. \n\nThis talk is based on a joint work with Tali Kauf
man.\n
DTSTART:20210209T153000Z
DTEND:20210209T173000Z
LAST-MODIFIED:20210209T132833Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-468
END:VEVENT
BEGIN:VEVENT
UID:e9a96f76-f516-4ed5-882d-e6ce023331bb
DTSTAMP:20210417T032823Z
CREATED:20210105T221623Z
DESCRIPTION:Topic: Overview and homotopy theory of stratified spaces\n\nSpe
akers: Remy van Dobben de Bruyn\n\nAffiliation: Institute for Advanced Stu
dy and Princeton University\; Veblen Research Instructor\, School of Mathe
matics\n\n
DTSTART:20210209T183000Z
DTEND:20210209T203000Z
LAST-MODIFIED:20210209T152647Z
LOCATION:Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-14
END:VEVENT
BEGIN:VEVENT
UID:38f25472-834a-4303-bebd-805901ad17a1
DTSTAMP:20210417T032823Z
CREATED:20210106T221949Z
DESCRIPTION:Topic: Tilting character computations\n\nSpeakers: Geordie Will
iamson\n\nAffiliation: University of Sydney\; Distinguished Visiting Profe
ssor\, School of Mathematics\n\nLast week\, Ben explained how diagrammatic
algebra helps understand\ntilting characters. In Ben's talk the diagramma
tic algebra was that of\nTemperley-Lieb flavour and its higher rank cousin
s (webs etc.) I will\nbriefly recall the diagrammatics for the Hecke categ
ory ('Soergel\ncalculus') and then explain why it gives a much more effici
ent means\nof calculating tilting characters. Then I will try to explain h
ow one\ncan implement this on computer. This allows us to compute many mor
e\ntilting characters than were previously known. This discussion will be
\nreasonably high level. Thorge will go into more detail next week.\n
DTSTART:20210209T200000Z
DTEND:20210209T220000Z
LAST-MODIFIED:20210208T151932Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-12
END:VEVENT
BEGIN:VEVENT
UID:4c5e3e5c-db0f-42ed-b95d-5d12efb9d95d
DTSTAMP:20210417T032823Z
CREATED:20210105T233045Z
DESCRIPTION:Topic: Non-amenable groups admitting no sofic approximation by
expander graphs\n\nSpeakers: Gabor Kun\n\nAffiliation: Alfréd Rényi Instit
ute of Mathematics\n\nWe show that the direct product of an infinite\, fin
itely generated\nKazhdan Property (T) group and a finitely presented\, not
residually\nfinite amenable group admits no sofic approximation by expand
er\ngraphs. Joint work with Andreas Thom.
DTSTART:20210210T160000Z
DTEND:20210210T171500Z
LAST-MODIFIED:20210210T134529Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-13
END:VEVENT
BEGIN:VEVENT
UID:14e42680-c9ae-4743-b8c5-d62d2f2ada64
DTSTAMP:20210417T032823Z
CREATED:20210106T002924Z
DESCRIPTION:Topic: Equivariantization and de-equivariantization\n\nSpeakers
: Shotaro Makisumi\n\nAffiliation: Columbia University\; Member\, School o
f Mathematics\n\nThis is the second in a series of talks on 'two realizati
ons.' We\ndiscuss equivariantization and de-equivariantization for a group
$G$\,\nwhich relate categories with $G$-actions and categories with\nRepG
-actions\, and how this relates to the notion of category over a\nstack. W
e will deduce a 'deequivariantization principle' will be\nhelpful in under
standing the proof strategy of Arkhipov-Bezrukavnikov\nand the full 'two r
ealizations\,' to be explained in future talks.\n
DTSTART:20210210T200000Z
DTEND:20210210T220000Z
LAST-MODIFIED:20210205T220959Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:2460e274-a156-47c2-acc3-51ed4bcc686d
DTSTAMP:20210417T032823Z
CREATED:20210106T004743Z
DESCRIPTION:Topic: Quantum Integer Valued Polynomials\n\nSpeakers: Nate Har
man\n\nAffiliation: Member\, School of Mathematics\n\nIn algebraic combina
torics there well known objects called q-integers\,\nq-binomial coefficien
ts\, and q-factorials which for lack of a better\nword 'q-ify' the usual i
ntegers\, binomial coefficients\, and\nfactorials. I will explain these no
tions (and say a bit about why they\nare interesting) and then tell the st
ory of how and why Sam Hopkins\nand I q-ified the ring of integer valued p
olynomials.\n
DTSTART:20210210T223000Z
DTEND:20210211T000000Z
LAST-MODIFIED:20210329T180825Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-200
END:VEVENT
BEGIN:VEVENT
UID:f6cfa3bc-0d96-4e40-a07a-ba1e8fef0804
DTSTAMP:20210417T032823Z
CREATED:20201210T013038Z
DESCRIPTION:
DTSTART:20210211T150000Z
DTEND:20210211T170000Z
LAST-MODIFIED:20210106T041727Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:f0119550-d912-44f6-9d54-b4b0bac9ce21
DTSTAMP:20210417T032823Z
CREATED:20210107T004859Z
DESCRIPTION:Topic: Center of quantum group\n\nSpeakers: Arun Kannan\n\nAffi
liation: Massachusetts Institute of Technology\n\nContinuation of the talk
from Feb 4.\n
DTSTART:20210211T210000Z
DTEND:20210211T230000Z
LAST-MODIFIED:20210211T142041Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-2
END:VEVENT
BEGIN:VEVENT
UID:73d1f278-f722-475f-aafb-7ab776158a15
DTSTAMP:20210417T032823Z
CREATED:20210106T011013Z
DESCRIPTION:Topic: Cohomology of Arithmetic Groups and Endoscopy\n\nSpeaker
s: Mathilde Gerbelli-Gauthier\n\nAffiliation: Member\, School of Mathemati
cs\n\nHow fast do Betti numbers grow in a congruence tower of compact\nari
thmetic manifolds? The dimension of the middle degree of cohomology\nis pr
oportional to the volume of the manifold\, but away from the\nmiddle the g
rowth is known to be sub-linear in the volume. I will\nexplain how automor
phic representations and the phenomenon of\nendoscopy provide a framework
to understand and quantify this slow\ngrowth. Specifically\, I will discus
s how to obtain some explicit\nbounds in the case of unitary groups using
Arthur’s stable trace\nformula.\n
DTSTART:20210211T213000Z
DTEND:20210211T223000Z
LAST-MODIFIED:20210204T171244Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-438
END:VEVENT
BEGIN:VEVENT
UID:09a8dc9d-89b3-4e8e-8503-24913300098e
DTSTAMP:20210417T032823Z
CREATED:20210106T021843Z
DESCRIPTION:Topic: Non-displaceable Lagrangian links in four-manifolds\n\nS
peakers: Cheuk Yu Mak\n\nAffiliation: University of Edinburgh\n\nOne of th
e earliest fundamental applications of Lagrangian Floer\ntheory is detecti
ng the non-displaceablity of a Lagrangian\nsubmanifold. Many progress and
generalisations have been made since\nthen but little is known when the La
grangian submanifold is\ndisconnected. In this talk\, we describe a new id
ea to address this\nproblem. Subsequently\, we explain how to use Fukaya-O
h-Ohta-Ono and\nCho-Poddar theory to show that for every $S^2 \times S^2$
with a\nnon-monotone product symplectic form\, there is a continuum of\ndi
sconnected\, non-displaceable Lagrangian submanifolds such that each\nconn
ected component is displaceable. This is a joint work with Ivan\nSmith.\n
DTSTART:20210212T141500Z
DTEND:20210212T154500Z
LAST-MODIFIED:20210208T183331Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-58
END:VEVENT
BEGIN:VEVENT
UID:fd268d24-2e20-460c-86ee-20e55609120a
DTSTAMP:20210417T032823Z
CREATED:20201111T155153Z
DESCRIPTION:Topic: Monotone Arithmetic Circuit Lower Bounds Via Communicati
on Complexity\n\nSpeakers: Arkadev Chattopadhyay\n\nAffiliation: Tata Inst
itute of Fundamental Research\n\nValiant (1980) showed that general arithm
etic circuits with negation\ncan be exponentially more powerful than monot
one ones. We give the\nfirst qualitative improvement to this classical res
ult: we construct a\nfamily of polynomials P-n in n variables\, each of it
s monomials has\npositive coefficient\, such that P-n can be computed by a
\npolynomial-size *depth-three* formula but every monotone circuit\ncomput
ing it has size exp(n^{1/4}/log(n)).\n\nThe polynomial P-n embeds the SINK
o XOR function devised recently by\nChattopadhyay\, Mande and Sherif (201
9) to refute the\nLog-Approximate-Rank Conjecture in communication complex
ity. To prove\nour lower bound for P-n\, we develop a general connection b
etween\ncorruption of combinatorial rectangles by any function f o XOR and
\ncorruption of product polynomials by a certain polynomial P-f that is\na
n arithmetic embedding of f. This connection should be of independent\nint
erest.\n\nUsing further ideas from communication complexity\, we construct
\nanother family of set-multilinear polynomials f(n\,m) such that both\nF(
n\,m) − eps. f(n\,m) and F(n\,m) + eps.f(n\,m) have monotone circuit\ncomp
lexity exp(n/log(n)) if eps >= exp−(Omega(m)) and F(n\,m) is\nthe full se
t-multilinear polynomial over n blocks each of size m\, with\nm=O(nlogn).
The polynomials f(n\,m) have 0/1 coefficients and are in\nVNP. Proving su
ch lower bounds for monotone circuits has been\nadvocated recently by Hrub
eš (2020) as a first step towards proving\nlower bounds against general ci
rcuits via his new approach.\n\n(This is joint work with Rajit Datta and P
artha Mukhopadhyay and is\naccessible at: https://eccc.weizmann.ac.il/repo
rt/2020/166/)\n
DTSTART:20210215T161500Z
DTEND:20210215T171500Z
LAST-MODIFIED:20210216T152245Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-474
END:VEVENT
BEGIN:VEVENT
UID:c4fe4498-d15c-4aa3-b9df-b7478110a597
DTSTAMP:20210417T032823Z
CREATED:20201209T231623Z
DESCRIPTION:Topic: No seminar: Presidents' Day\n\n
DTSTART:20210215T190000Z
DTEND:20210215T200000Z
LAST-MODIFIED:20210105T200958Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-353
END:VEVENT
BEGIN:VEVENT
UID:1d6f4e3f-4aab-4852-9a14-2b68e136b43a
DTSTAMP:20210417T032823Z
CREATED:20210105T211935Z
DESCRIPTION:Topic: No seminar: Presidents' Day\n\n
DTSTART:20210215T213000Z
DTEND:20210215T223000Z
LAST-MODIFIED:20210106T192911Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-136
END:VEVENT
BEGIN:VEVENT
UID:87fe34e3-3b91-4d33-b89e-8b7901ee8ebd
DTSTAMP:20210417T032823Z
CREATED:20201105T141752Z
DESCRIPTION:Topic: High dimensional expanders - Part 2\n\nSpeakers: Shai Ev
ra\n\nAffiliation: Princeton University\n\nExpander graphs are graphs whic
h simultaneously are both sparse and\nhighly connected. The theory of expa
nder graphs received a lot of\nattention in the past half a century\, from
both computer science and\nmathematics. In recent years\, a new theory of
high dimensional\nexpanders have emerged. In his seminal work\, Gromov ra
ised the\nfollowing main question: Do (bounded degree) high dimensional\ne
xpanders exist? A culmination of several works by experts in the\nfield r
esulted in a positive answer to Gromov's question (according to\nhis defin
ition).\n\nIn this talk\, I will give a quick introduction to the theory o
f high\ndimensional expanders\, describe the challenges this theory\noffer
s\, and explain the known techniques to construct such (bounded\ndegree) h
igh dimensional expanders. \n\nThis talk is based on a joint work with Tal
i Kaufman.\n
DTSTART:20210216T153000Z
DTEND:20210216T173000Z
LAST-MODIFIED:20210216T152923Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-469
END:VEVENT
BEGIN:VEVENT
UID:9e86d498-2322-492a-83aa-6868a34fb1f8
DTSTAMP:20210417T032823Z
CREATED:20210105T221643Z
DESCRIPTION:Topic: Complete Segal spaces and spatial décollage\n\nSpeakers:
Ian Coley\n\nAffiliation: Rutgers University\n\n
DTSTART:20210216T183000Z
DTEND:20210216T203000Z
LAST-MODIFIED:20210212T184146Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-15
END:VEVENT
BEGIN:VEVENT
UID:640466ee-09bb-4982-94d7-5aa917340460
DTSTAMP:20210417T032823Z
CREATED:20210106T222007Z
DESCRIPTION:Topic: Tilting Character Computations II\n\nSpeakers: Lars Thor
ge Jensen\n\nAffiliation: Member\, School of Mathematics\n\nIn this talk\,
we will put together all ingredients we have seen in the\nlast couple of
talks to describe the algorithm to calculate tilting\ncharacters for reduc
tive algebraic groups in the anti-spherical\nmodule. We will try to illust
rate the most important steps of the\nalgorithm by an example calculation
for $SL_3$ (using Soergel\ncalculus). In the end\, we will mention current
obstacles limiting our\ncalculations and show some results.\n
DTSTART:20210216T200000Z
DTEND:20210216T220000Z
LAST-MODIFIED:20210216T153500Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:9a4118ba-694d-46b0-9b17-1ca8ad79b0d8
DTSTAMP:20210417T032823Z
CREATED:20210105T233102Z
DESCRIPTION:Topic: Matrix stability of crystallographic groups\n\nSpeakers:
Soren Eilers\n\nAffiliation: University of Copenhagen\n\nSome years ago\,
I proved with Shulman and Sørensen that precisely 12\nof the 17 wallpaper
groups are matricially stable in the operator\nnorm. We did so as part of
a general investigation of when group\n$C^*$-algebras have the semiprojec
tivity and weak matricial\nsemiprojectivity properties — notions which are
standard tools in\nthe classification theory for $C^*$-algebras.\n\nOur r
esults were largely negative\, and recently Dadarlat has provided\na frame
work for understanding the obstructions to matricial stability\nfor discre
te groups. With this perspective\, our results may be seen\nas showing th
at\, at least in this case\, stability ensues when the\nobstructions allow
it.\n\nI intend to go through the proof of this positive result in a form
\naimed at non-$C^*$-algebraists. It must be admitted that the proof is\nv
ery $C^*$-algebraic in nature\, but it goes through a natural\ndimension r
eduction technique (invented by Friis and Rørdam in the\nmid-90’s) which I
can definitely explain and expect could be useful\nin other settings as w
ell.\n
DTSTART:20210217T160000Z
DTEND:20210217T171500Z
LAST-MODIFIED:20210217T142404Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-14
END:VEVENT
BEGIN:VEVENT
UID:75a4eb5d-189a-4df7-9e3b-07ab7605e7b9
DTSTAMP:20210417T032823Z
CREATED:20210106T002940Z
DESCRIPTION:Topic: Gaitsgory's central sheaves\n\nSpeakers: Tom Braden\n\nA
ffiliation: University of Massachusetts\, Amherst\; Member\, School of Mat
hematics\n\nA theorem of Bernstein identifies the center of the affine Hec
ke\nalgebra of a reductive group $G$ with the Grothendieck ring of the\nte
nsor category of representations of the dual group $G^\vee$.\nGaitsgory co
nstructed a functor which categrorifies this result. This\nfunctor sends S
atake sheaves on the affine Grassmannian of $G$ to\nIwahori-equivariant pe
rverse sheaves on the affine flag variety\, and\nthe sheaves in the image
lie in the center of this category. The\nfunctor is given as nearby cycles
for a family over a curve whose\ngeneral fiber is the affine Grassmannian
times the finite flag variety\nand whose special fiber is the affine flag
variety. As a result\, the\nfunctor carries an important additional struc
ture\, an endomorphism\ncoming from monodromy of nearby cycles.\n
DTSTART:20210217T200000Z
DTEND:20210217T220000Z
LAST-MODIFIED:20210212T193802Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-18
END:VEVENT
BEGIN:VEVENT
UID:d75e6f37-e47b-4d66-a639-ddf957e545cb
DTSTAMP:20210417T032823Z
CREATED:20210106T004801Z
DESCRIPTION:Topic: Why is $N_{\Gamma_0(12)}^{\mathrm{new}}(\lambda)$ of coc
ompact type?\n\nSpeakers: Terrence Blackman\n\nAffiliation: Medgar Evers C
ollege\, The City University of New York\; Visitor\, School of Mathematics
\n\nI will speak\, broadly\, on\, the arithmetic and geometry of quaternio
n\nalgebras and aspects of the spectral theory of automorphic laplacians.
\nI will describe spectral correspondences between spaces of Maass\nwavefo
rms on the unit group of a quaternion algebra and spaces of mass\nforms on
a nicely related congruence subgroup of the modular group.\nThese corresp
ondences are predicted by the Jacquet-Langlands\ncorrespondence.\n
DTSTART:20210217T223000Z
DTEND:20210218T000000Z
LAST-MODIFIED:20210329T180845Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-201
END:VEVENT
BEGIN:VEVENT
UID:ed9d0af1-3f84-4703-85e3-66068260c103
DTSTAMP:20210417T032823Z
CREATED:20201210T013050Z
DESCRIPTION:
DTSTART:20210218T150000Z
DTEND:20210218T170000Z
LAST-MODIFIED:20210106T041826Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:672e40e4-422b-4746-9cb3-74eba88a8447
DTSTAMP:20210417T032823Z
CREATED:20210107T004916Z
DESCRIPTION:Topic: R-matrices\n\nSpeakers: Elijah Bodish\n\nAffiliation: Un
iversity of Oregon\n\n
DTSTART:20210218T210000Z
DTEND:20210218T230000Z
LAST-MODIFIED:20210218T143828Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-3
END:VEVENT
BEGIN:VEVENT
UID:405c1583-70f9-43ce-9029-35bc616eefd1
DTSTAMP:20210417T032823Z
CREATED:20210106T011031Z
DESCRIPTION:Topic: Exceptional jumps of Picard rank of K3 surfaces over num
ber fields\n\nSpeakers: Salim Tayou\n\nAffiliation: Member\, School of Mat
hematics\n\nGiven a K3 surface $X$ over a number field $K$\, we prove that
the set\nof primes of $K$ where the geometric Picard rank jumps is infini
te\,\nassuming that $X$ has everywhere potentially good reduction. This\nr
esult is formulated in the general framework of GSpin Shimura\nvarieties a
nd I will explain other applications to abelian surfaces. I\nwill also dis
cuss applications to the existence of rational curves on\nK3 surfaces. The
results in this talk are joint work with Ananth\nShankar\, Arul Shankar a
nd Yunqing Tang.\n
DTSTART:20210218T213000Z
DTEND:20210218T223000Z
LAST-MODIFIED:20210218T144126Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-439
END:VEVENT
BEGIN:VEVENT
UID:d91bffa8-ede8-4941-95ad-469b33a7e0be
DTSTAMP:20210417T032823Z
CREATED:20210106T021859Z
DESCRIPTION:Topic: Intrinsic mirror symmetry and categorical crepant resolu
tions\n\nSpeakers: Daniel Pomerleano\n\nAffiliation: University of Massach
usetts\, Boston\n\nGross and Siebert have recently proposed an 'intrinsic'
programme for\nstudying mirror symmetry. In this talk\, we will discuss a
symplectic\ninterpretation of some of their ideas in the setting of affin
e log\nCalabi-Yau varieties. Namely\, we describe work in progress which s
hows\nthat\, under suitable assumptions\, the wrapped Fukaya category of s
uch\na variety $X$ gives an intrinsic 'categorical crepant resolution' of
\n$Spec(SH^0(X))$. No background in mirror symmetry will be assumed for\nt
he talk.\n
DTSTART:20210219T141500Z
DTEND:20210219T154500Z
LAST-MODIFIED:20210211T190406Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-59
END:VEVENT
BEGIN:VEVENT
UID:0f7c51aa-7514-4cc3-a07b-082f8ec61ebb
DTSTAMP:20210417T032823Z
CREATED:20201105T141054Z
DESCRIPTION:Topic: Optimal Mixing of Glauber Dynamics: Entropy Factorizatio
n via High-Dimensional Expansion\n\nSpeakers: Zongchen Chen\n\nAffiliation
: Georgia Institute of Technology\n\nWe consider the Glauber dynamics (als
o called Gibbs sampling) for\nsampling from a discrete distribution in hig
h-dimensional space (e.g.\,\nselecting a uniformly random legal coloring o
r independent set in a\ngiven graph\, or selecting a 'typical' state in a
given statistical\nphysics model\, like spin systems). In these probabilis
tic\nalgorithms\, each step picks uniformly at random a single variable\,
\nand updates it conditional on all other variables. Note that\, if the\nn
umber of variables (= the dimension) is n\, such MCMC (Monte Carlo\nMarkov
Chain) algorithms perform a random walk on an exponential (in\nn) size sp
ace.\n\nWe show an optimal mixing time bound for the Glauber dynamics in a
\nvariety of settings. Our work presents an improved version of the\nspect
ral independence approach of Anari et al. (2020) and shows\nO(nlogn) mixin
g time for graphical models/spin systems on any n-vertex\ngraph of bounded
degree\, when the maximum eigenvalue of an associated\ninfluence matrix i
s bounded. Our proof approach combines classic tools\nof entropy tensoriza
tion/factorization and recent developments of\nhigh-dimensional expanders.
\n\nBased on joint work with Kuikui Liu and Eric Vigoda. \n
DTSTART:20210222T161500Z
DTEND:20210222T171500Z
LAST-MODIFIED:20210222T160126Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-475
END:VEVENT
BEGIN:VEVENT
UID:e11845ce-9e9c-4901-938e-eeda4c841767
DTSTAMP:20210417T032823Z
CREATED:20201209T231637Z
DESCRIPTION:Topic: Astrophysical fluid dynamics\n\nSpeakers: James Stone\n
\nAffiliation: Professor\, School of Natural Sciences\n\nMost of the visib
le matter in the Universe is a plasma\, that is a\ndilute gas of ions\, el
ectrons\, and neutral atoms. In many\ncircumstances\, the dynamics of this
plasma can be modeled in the\ncontinuum limit\, using the equations of fl
uid mechanics. Unlike most\nterrestrial flows\, however\, astrophysical pl
asmas are highly\ncompressible and strongly affected by additional physics
such as\nmagnetic fields\, radiation transport\, and gravity. I will intr
oduce\nthe kind of problems astrophysicists study using fluid mechanics\,
\ndiscuss the importance of additional physics to model such problems\nrea
listically\, and describe numerical methods that are essential for\ninvest
igation of the nonlinear regime. Finally I will highlight one\napplication
of these methods: accretion of plasma into black holes.\n
DTSTART:20210222T190000Z
DTEND:20210222T200000Z
LAST-MODIFIED:20210222T160616Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-354
END:VEVENT
BEGIN:VEVENT
UID:c72a6a6d-1bbd-44c8-bb67-912f9b5626d5
DTSTAMP:20210417T032823Z
CREATED:20210105T211953Z
DESCRIPTION:Topic: Spread of infections in random walkers\n\nSpeakers: Alla
n Sly\n\nAffiliation: Princeton University\n\nWe consider a class of inter
acting particle systems with two types\, A\nand B which perform independen
t random walks at different speeds. Type\nA particles turn into type B whe
n they meet another type B particle.\nThis class of systems includes model
s of infections and multi-particle\ndiffusion limited aggregation. I will
describe new methods to\nunderstand growth processes in such models.\n\nJo
int work with Duncan Dauvergne\, Danny Nam and Dor Elboim.\n
DTSTART:20210222T213000Z
DTEND:20210222T223000Z
LAST-MODIFIED:20210222T161124Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-137
END:VEVENT
BEGIN:VEVENT
UID:8176a5aa-4062-4314-b4df-90845e2d1000
DTSTAMP:20210417T032823Z
CREATED:20201105T142008Z
DESCRIPTION:Topic: Introduction to Laplacian Linear Systems for Undirected
Graphs\n\nSpeakers: John Peebles\n\nAffiliation: Member\, School of Mathem
atics\n\nThis talk gives an introduction on how to quickly solve linear sy
stems\nwhere the matrix of the system is the Laplacian matrix of any\nundi
rected graph. No prior familiarity with optimization is assumed.\nIn the p
rocess\, we will cover:\n\n * what positive semidefinite matrices are and
why mathematicians say\nthey 'behave like nonnegative numbers' (mainly int
ended as a review)\n * the Loewner ordering (standard PSD ordering) on pos
itive\nsemidefinite matrices and how it provides a natural definition of\n
'multiplicative approximation' for them\n * Richardson iteration / gradien
t descent for solving quadratic\nminimization problems\n * preconditioning
and why we care about the sparsity of the matrix\nwhen trying to solve li
near systems quickly\n * spectral sparsification of graphs (presented/used
as a black box\nstatement)\n * the Peng-Spielman algorithm for solving la
placian linear systems\nin nearly linear time. (Solves a Laplacian linear
system with m\nnonzero entries in m*polylog(m) time. This is only slightly
more than\nthe time it takes to write down the system. Compared to the be
st\nruntime achievable using fast matrix multiplication algorithms\, even
\nif the exponent for matrix multiplication is 2\, the Peng-Speilman\nalgo
rithm is much faster in sparse graphs. Even in dense graphs\, it is\nnever
slower by more than a polylogarithmic factor.)\n\n
DTSTART:20210223T153000Z
DTEND:20210223T173000Z
LAST-MODIFIED:20210223T132831Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-470
END:VEVENT
BEGIN:VEVENT
UID:593a97ff-7ed8-4cf1-848f-207890ad7797
DTSTAMP:20210417T032823Z
CREATED:20210105T221702Z
DESCRIPTION:Topic: ∞-topoi in topology and geometry\n\nSpeakers: Emanuel Re
inecke\n\nAffiliation: Member\, School of Mathematics\n\n
DTSTART:20210223T183000Z
DTEND:20210223T203000Z
LAST-MODIFIED:20210218T205124Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-16
END:VEVENT
BEGIN:VEVENT
UID:bd2b327c-114f-4999-bcbb-842104abf66a
DTSTAMP:20210417T032823Z
CREATED:20210106T222023Z
DESCRIPTION:Topic: Billiards and Boats\n\nSpeakers: Lars Thorge Jensen\n\nA
ffiliation: Member\, School of Mathematics\n\nIn this talk we will present
two perspectives on the p-Kazhdan-Lusztig\nbasis and its combinatorics\,
giving a glimpse of its complexity. This\ntalk does not provide many answe
rs\, but will hopefully raise many\ninteresting questions and is based on
ongoing work in progress.\n
DTSTART:20210223T200000Z
DTEND:20210223T220000Z
LAST-MODIFIED:20210222T172816Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:b833d8a8-1c5f-4e62-b9ad-ceb4c6a8da66
DTSTAMP:20210417T032823Z
CREATED:20210105T233119Z
DESCRIPTION:Topic: Norm stability in the unitary case from Voiculescu to Gr
omov-Lawson\n\nSpeakers: Shmuel Weinberger\n\nAffiliation: University of C
hicago\n\nThis expository talk will try to bridge the first examples of 'a
lmost\ncommuting' unitary matrices that are not almost 'commuting unitarie
s'\ndue to Voiculescu to a more sophisticated and very beautiful\nconstruc
tion of examples by Gromov and Lawson in the early 80's that\nis intimatel
y connected to deep phenomena in topology and geometry\nrelated to the rol
e of fundamental group. It can serve as an\nintroduction to Dadarlat's tal
k.\n\nIf I inadvertently say anything new and correct\, it will be joint w
ork\nwith Alex Lubotzky or Guoliang Yu. However\, I expect that most of th
e\ntalk will be about ideas well known before half the audience was born.
\n
DTSTART:20210224T160000Z
DTEND:20210224T171500Z
LAST-MODIFIED:20210224T135730Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-15
END:VEVENT
BEGIN:VEVENT
UID:e70a6016-5314-4578-b840-aebb5a45768e
DTSTAMP:20210417T032823Z
CREATED:20210106T002955Z
DESCRIPTION:Topic: The affine Hecke category is a monoidal colimit\n\nSpeak
ers: James Tao\n\nAffiliation: Massachusetts Institute of Technology\n\nWe
will discuss the following theorems concerning colimits taken in\nthe inf
inity-category of monoidal DG-categories. (No familiarity with\ninfinity-c
ategories will be required or assumed.) The affine Hecke\ncategory is the
monoidal colimit of its finite type Hecke\nsubcategories. The category of
D-modules on the loop group is the\nmonoidal colimit of the categories of
D-modules on standard parahoric\nsubgroups. These theorems\, and many anal
ogous ones\, are consequences\nof a general inductive characterization of
colimits indexed by a\ncategory of `words' in a Coxeter group. We will als
o discuss two\napplications-in-progress: the construction of a functor fro
m the\naffine to the finite Hecke category in type A\, and the constructio
n of\nnew `deformations' of the affine Hecke category.\n
DTSTART:20210224T200000Z
DTEND:20210224T220000Z
LAST-MODIFIED:20210218T204218Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:cb342374-f3f4-46c2-93f7-ef52a1207f30
DTSTAMP:20210417T032823Z
CREATED:20210106T004818Z
DESCRIPTION:Topic: Space vectors forming rational angles\n\nSpeakers: Bjorn
Poonen\n\nAffiliation: Massachusetts Institute of Technology\n\nIn 1895\,
Hill discovered a $1$-parameter family of tetrahedra whose\ndihedral angl
es are all rational multiples of $\pi$. In 1976\, Conway\nand Jones relate
d the problem of finding all such tetrahedra to\nsolving a polynomial equa
tion in roots of unity. Many previous authors\nhave solved polynomial equa
tions in roots of unity with $\leq 12$\nmonomials\, but the Conway-Jones p
olynomial has $105$ monomials! I will\nexplain the method we use to solve
it and our discovery that the full\nclassification consists of two $1$-par
ameter families and an explicit\nlist of $59$ sporadic tetrahedra.\n\nBuil
ding on this work\, we classify all configurations of vectors in\n$\mathbb
R^3$ such that the angle between each pair is a rational\nmultiple of $\p
i$. Sample result: Ignoring trivial families and scalar\nmultiples\, any c
onfiguration with more than $9$ vectors is contained\nin a particular $15$
-vector configuration.\n\nThis is joint work with Kiran Kedlaya\, Alexande
r Kolpakov\, and Michael\nRubinstein.\n
DTSTART:20210224T223000Z
DTEND:20210225T000000Z
LAST-MODIFIED:20210329T180905Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-202
END:VEVENT
BEGIN:VEVENT
UID:54ddc69d-4064-4811-b05e-08f9b94f08f6
DTSTAMP:20210417T032823Z
CREATED:20201210T013104Z
DESCRIPTION:
DTSTART:20210225T150000Z
DTEND:20210225T170000Z
LAST-MODIFIED:20210106T041927Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-18
END:VEVENT
BEGIN:VEVENT
UID:08a8e0cb-4996-4ebe-92ed-e07573ee1c69
DTSTAMP:20210417T032823Z
CREATED:20210107T004931Z
DESCRIPTION:Topic: R-matrices\n\nSpeakers: Elijah Bodish\n\nAffiliation: Un
iversity of Oregon\n\nContinuation of the talk from last time.\n
DTSTART:20210225T210000Z
DTEND:20210225T230000Z
LAST-MODIFIED:20210225T124744Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-4
END:VEVENT
BEGIN:VEVENT
UID:752ccdb2-a87d-42c0-8dd3-f22d417ec4f9
DTSTAMP:20210417T032823Z
CREATED:20210106T011048Z
DESCRIPTION:Topic: Selmer groups and a Cassels-Tate pairing for finite Galo
is modules\n\nSpeakers: Alexander Smith\n\nAffiliation: Massachusetts Inst
itute of Technology\n\nI will discuss some new results on the structure of
Selmer groups of\nfinite Galois modules over global fields. Tate's defini
tion of the\nCassels-Tate pairing can be extended to a pairing on such Sel
mer\ngroups with little adjustment\, and many of the fundamental propertie
s\nof the Cassels-Tate pairing can be reproved with new methods in this\ns
etting. I will also give a general definition of the theta/Mumford\ngroup
and relate it to the structure of the Cassels-Tate pairing\,\ngeneralizing
work of Poonen and Stoll.\n
DTSTART:20210225T213000Z
DTEND:20210225T223000Z
LAST-MODIFIED:20210225T125220Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-440
END:VEVENT
BEGIN:VEVENT
UID:5f1b8b60-29e5-4c45-b13c-12e23006ff25
DTSTAMP:20210417T032823Z
CREATED:20210106T021915Z
DESCRIPTION:Topic: Twisted generating functions and the nearby Lagrangian c
onjecture\n\nSpeakers: Sylvain Courte\n\nAffiliation: Université Grenoble
Alpes\n\nI will explain the notion of twisted generating function and show
that\na closed exact Lagrangian submanifold $L$ in the cotangent bundle o
f\n$M$ admits such a thing. The type of function arising in our\nconstruct
ion is related to Waldhausen's tube space from his manifold\napproach to a
lgebraic K-theory of spaces. Using the rational\nequivalence of this space
with BO\, as proved by Bökstedt\, we conclude\nthat the stable Lagrangian
Gauss map of $L$ vanishes on all homotopy\ngroups. In particular when $M$
is a homotopy sphere\, we obtain the\ntriviality of the stable Lagrangian
Gauss map and a genuine generating\nfunction for $L$. This is a joint wor
k with M. Abouzaid\, S. Guillermou\nand T. Kragh.\n
DTSTART:20210226T141500Z
DTEND:20210226T154500Z
LAST-MODIFIED:20210217T004852Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-60
END:VEVENT
BEGIN:VEVENT
UID:c8c95c63-f26d-42de-9b4d-bd17d6d0963a
DTSTAMP:20210417T032823Z
CREATED:20201102T134602Z
DESCRIPTION:Topic: Rainbow structures\, Latin squares & graph decomposition
s\n\nSpeakers: Benny Sudakov\n\nAffiliation: ETH Zürich\n\nA subgraph of
an edge-coloured graph is called rainbow if all its\nedges have distinct c
olours. The study of rainbow subgraphs goes\nback to the work of Euler on
Latin squares in the 18th century. \nSince then rainbow structures were t
he focus of extensive research and\nfound numerous applications in design
theory and graph\ndecompositions. In this talk we discuss how probabilisti
c reasoning\ncan be used to attack several old problems in this area\, lea
ding to\nsubstantial progress on several well-known conjectures of Ryser\,
\nBrouwer\, Ringel\, and Graham-Sloane.\n\nBased on joint works with Keeva
sh\, Montgomery\, Pokrovskiy and\nYepremian.\n
DTSTART:20210301T161500Z
DTEND:20210301T171500Z
LAST-MODIFIED:20210301T152330Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-476
END:VEVENT
BEGIN:VEVENT
UID:b82cf8de-3d5c-4b87-9abe-4319e879ab1a
DTSTAMP:20210417T032823Z
CREATED:20201209T231651Z
DESCRIPTION:Topic: The Value of Errors in Proofs\n\nSpeakers: Avi Wigderson
\n\nAffiliation: Herbert H. Maass Professor\, School of Mathematics\n\nA f
ew months ago\, a group of theoretical computer scientists posted a\npaper
on the Arxiv with the strange-looking title 'MIP* = RE'\,\nimpacting and
surprising not only complexity theory but also some\nareas of math and phy
sics. Specifically\, it resolved\, in the negative\,\nthe 'Connes' embeddi
ng conjecture' in the area of von-Neumann\nalgebras\, and the 'Tsirelson p
roblem' in quantum information theory.\nYou can find the paper here\n\nhtt
ps://arxiv.org/abs/2001.04383\n\nAs it happens\, both acronyms MIP* and RE
represent proof systems\, of a\nvery different nature. To explain them\,
we'll take a meandering\njourney through the classical and modern definiti
ons of proof. I hope\nto explain how the methodology of computational comp
lexity theory\,\nespecially modeling and classification (both problems and
proofs) by\nalgorithmic efficiency\, naturally leads to the generation of
new such\nnotions and results (and more acronyms\, like NP). A special fo
cus will\nbe on notions of proof which allow interaction\, randomness\, an
d\nerrors\, and their surprising power and magical properties.\n\nThe talk
will be non-technical\, and requires no special background.\n
DTSTART:20210301T190000Z
DTEND:20210301T200000Z
LAST-MODIFIED:20210301T152635Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-355
END:VEVENT
BEGIN:VEVENT
UID:c3d8f9dd-4e8e-42ce-938e-b195042ce11a
DTSTAMP:20210417T032823Z
CREATED:20210105T212011Z
DESCRIPTION:Topic: Graph comparison\n\nSpeakers: Anton Petrunin\n\nAffiliat
ion: Pennsylvania State University\n\nI will survey results related to gra
ph comparison\; graph comparison is\na certain type of restriction on a me
tric spaces which is encoded by a\ngiven graph.\n
DTSTART:20210301T213000Z
DTEND:20210301T223000Z
LAST-MODIFIED:20210301T153001Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-138
END:VEVENT
BEGIN:VEVENT
UID:d1a9d6ff-3d0a-4a78-9b81-471d0e526c55
DTSTAMP:20210417T032823Z
CREATED:20201105T142037Z
DESCRIPTION:Topic: Solving Laplacian Systems of Directed Graphs\n\nSpeakers
: John Peebles\n\nAffiliation: Member\, School of Mathematics\n\nThis talk
introduces a directed analog of the\nclassical Laplacian matrix and discu
sses algorithms for solving\ncertain problems related to them. Of particul
ar interest is that using\nsuch algorithms\, one can compute the stationar
y distribution of a\nMarkov chain to high accuracy with a number of arithm
etic operations\nclose to the number of possible transitions. The analogou
s problem in\nthe low space setting\, in contrast\, remains open.\n
DTSTART:20210302T153000Z
DTEND:20210302T173000Z
LAST-MODIFIED:20210302T133007Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-471
END:VEVENT
BEGIN:VEVENT
UID:bd69fbf2-f8f7-4aa4-9fb3-6198a57f2b2c
DTSTAMP:20210417T032823Z
CREATED:20210105T221719Z
DESCRIPTION:Topic: Shape theory and Stone ∞-topoi\n\nSpeakers: Jacob Lurie
\n\nAffiliation: Professor\, School of Mathematics\n\n
DTSTART:20210302T183000Z
DTEND:20210302T203000Z
LAST-MODIFIED:20210226T014539Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-17
END:VEVENT
BEGIN:VEVENT
UID:df1909fc-34b0-440b-be00-2c95f6822d1b
DTSTAMP:20210417T032823Z
CREATED:20210106T222039Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210302T200000Z
DTEND:20210302T220000Z
LAST-MODIFIED:20210226T180054Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:8e104d17-e89b-4503-8781-c684c808bf32
DTSTAMP:20210417T032823Z
CREATED:20210105T233137Z
DESCRIPTION:Topic: Topological obstructions to matrix stability of discrete
groups\n\nSpeakers: Marius Dadarlat \n\nAffiliation: Purdue University\n
\nA discrete countable group is matricially stable if its finite\ndimensio
nal approximate unitary representations are perturbable to\ngenuine repres
entations in the point-norm topology. We aim to explain\nin accessible ter
ms why matricial stability for a group $G$ implies\nthe vanishing of the r
ational even cohomology of $G$ for large classes\nof groups\, including th
e linear groups.
DTSTART:20210303T160000Z
DTEND:20210303T171500Z
LAST-MODIFIED:20210303T134625Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-16
END:VEVENT
BEGIN:VEVENT
UID:3b3e2e88-4aea-4259-be6c-1d47fb52c7f1
DTSTAMP:20210417T032823Z
CREATED:20210106T003012Z
DESCRIPTION:Topic: On two geometric realizations of the anti-spherical modu
le\n\nSpeakers: Tsao-Hsien Chen\n\nAffiliation: University of Minnesota\,
Twin Cities\; Member\, School of Mathematics\n\nThe anti-spherical modules
over the affine Hecke algebras admit two\ndifferent realizations: one rea
lization is in terms of the space of\nWhittaker functions on the affine fl
ag manifolds and the other\nrealization\, due to Kazhdan-Lusztig\, is in t
erms of the equivariant\nK-theory of the Springer resolution of the nilpot
ent cone for the dual\ngroup. I will explain the work of Arkhipov-Bezrukav
nikov on the\nequivalence between the Iwahoric-Whittaker category and the
\nequivariant derived category for the Springer resolution\, which\nprovid
es a geometric lift (or categorification) of the above two\nrealizations o
f the anti-spherical modules.\n
DTSTART:20210303T200000Z
DTEND:20210303T220000Z
LAST-MODIFIED:20210226T014930Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:07a4fc6a-0442-44cd-92a4-f7ff0834adbb
DTSTAMP:20210417T032823Z
CREATED:20210106T004835Z
DESCRIPTION:Topic: Newton\, Euler\, Navier\, and Green\n\nSpeakers: Susan F
riedlander\n\nAffiliation: University of Southern California\; Member\, Sc
hool of Mathematics\n\nWe touch lightly on the background of four mathemat
icians over four\ncenturies whose names are famous in mathematics with my
personal\nemphasis on fluid dynamics.\n
DTSTART:20210303T223000Z
DTEND:20210304T000000Z
LAST-MODIFIED:20210329T180925Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-203
END:VEVENT
BEGIN:VEVENT
UID:b177e876-8008-44e6-b5a6-a5a95b177634
DTSTAMP:20210417T032823Z
CREATED:20201210T013117Z
DESCRIPTION:
DTSTART:20210304T150000Z
DTEND:20210304T170000Z
LAST-MODIFIED:20210106T042026Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:2b3d5e49-9ac4-4537-8859-b4f972b3c337
DTSTAMP:20210417T032823Z
CREATED:20210107T004946Z
DESCRIPTION:Topic: Braid group actions and PBW type basis\n\nSpeakers: Cald
er Morton-Ferguson\n\nAffiliation: Massachusetts Institute of Technology\n
\nCovers chapter 8 in Jantzen's book.\n
DTSTART:20210304T210000Z
DTEND:20210304T230000Z
LAST-MODIFIED:20210304T205605Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-5
END:VEVENT
BEGIN:VEVENT
UID:6357e308-cd85-4bdb-94d8-aeb36507e491
DTSTAMP:20210417T032823Z
CREATED:20210106T011108Z
DESCRIPTION:Topic: Monoidal Structures on GL(2)-Modules and Abstractly Auto
morphic Representations\n\nSpeakers: Gal Dor\n\nAffiliation: Tel Aviv Univ
ersity\n\nConsider the function field F of a smooth curve over $F_q$\, wit
h $q >\n2$.\n\nL-functions of automorphic representations of $GL(2)$ over
$F$ are\nimportant objects for studying the arithmetic properties of the f
ield\n$F$. Unfortunately\, they can be defined in two different ways: one
by\nGodement-Jacquet\, and one by Jacquet-Langlands. Classically\, one sho
ws\nthat the resulting L-functions coincide using a complicated\ncomputati
on.\n\nEach of these L-functions is the GCD of a family of zeta integrals
\nassociated to test data. I will categorify the question\, by showing\nth
at there is a correspondence between the two families of zeta\nintegrals\,
instead of just their L-functions. The resulting comparison\nof test data
will induce an exotic symmetric monoidal structure on the\ncategory of re
presentations of $GL(2)$.\n\nIt turns out that an appropriate space of aut
omorphic functions is a\ncommutative algebra with respect to this symmetri
c monoidal structure.\nI will outline this construction\, and show how it
can be used to\nconstruct a category of automorphic representations.\n
DTSTART:20210304T213000Z
DTEND:20210304T223000Z
LAST-MODIFIED:20210304T205732Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-441
END:VEVENT
BEGIN:VEVENT
UID:48dbf518-c94b-4596-b71f-a85712367b3e
DTSTAMP:20210417T032823Z
CREATED:20210106T021931Z
DESCRIPTION:Topic: Periodic Floer homology and the large-scale geometry of
Hofer's metric on the sphere\n\nSpeakers: Sobhan Seyfaddini\n\nAffiliation
: Institut de mathématiques de Jussieu - Paris Rive Gauche\n\nThe group of
Hamiltonian diffeomorphisms of a symplectic manifold\nadmits a remarkable
bi-invariant metric\, called Hofer’s metric. My\ntalk will be about a rec
ent joint work with Dan Cristofaro-Gardiner\nand Vincent Humilière resolvi
ng the following two open-questions\nrelated to the large-scale geometry o
f this metric. The first\, due to\nKapovich and Polterovich\, asks whether
the two-sphere\, equipped with\nHofer’s metric\, is quasi-isometric to th
e real line\; we show that it\nis not. The second\, due to Fathi\, asks wh
ether the group of area and\norientation preserving homeomorphisms of the
two-sphere is a simple\ngroup\; we show that it is not. Key to our proofs
is a new sequence of\nspectral invariants defined via Hutchings’ Periodic
Floer Homology.\n
DTSTART:20210305T141500Z
DTEND:20210305T154500Z
LAST-MODIFIED:20210305T142252Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-61
END:VEVENT
BEGIN:VEVENT
UID:74f9b108-660f-453f-8e61-c32784924e86
DTSTAMP:20210417T032823Z
CREATED:20201102T201706Z
DESCRIPTION:Topic: From superconductors to Coulomb gases: crystallization
questions\n\nSpeakers: Sylvia Serfaty\n\nAffiliation: New York University
\n\nThe physicist Abrikosov predicted that in certain superconductors\,\no
ne should observe triangular lattices of vortices\, now called\nAbrikosov
lattices. When studying ground states of Coulomb gases\,\nwhich is motiva
ted by questions in approximation theory\, random\nmatrix theory and stati
stical physics\, one also expects the same\nlattices to appear. This crys
tallization phenomenon turns out to be\nrelated to the Cohn-Kumar conjectu
re about the universal minimality of\ncertain special lattices in dimensio
ns 2\, 8 and 24 and recently solved\nin dimensions 8 and 24. \n
DTSTART:20210305T190000Z
DTEND:20210305T200000Z
LAST-MODIFIED:20210305T162826Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Ruth and Irving Adler Expository Lecture in Mathematics
URL:https://www.ias.edu/math/events/ruth-and-irving-adler-expository-lectur
e-mathematics
END:VEVENT
BEGIN:VEVENT
UID:28498b1c-7473-43ed-9467-e32f7946c800
DTSTAMP:20210417T032823Z
CREATED:20210226T010742Z
DESCRIPTION:Topic: Persistent matchmaking\n\nSpeakers: Uli Bauer\n\nAffilia
tion: Technical University of Munich\n\nIn this talk\, I will give an over
view of some recent results motivated\nby the computation and applications
of persistent homology\, a theory\nthat creates a bridge between the cont
inuous world of topology and the\ndiscrete world of data\, and assigns sta
ble and structurally simple\ninvariants to geometric point sets\, parametr
ized over geometric scale.\n\nIn particular\, I will explore why cohomolog
y is so much more efficient\nin such computations and how it can also be e
mployed to efficiently\ncompute the induced matchings that exhibit the sta
bility of\npersistence diagrams.\n\nI will also shed some light on why thi
ngs are much more complicated\nwhen a second parameter enters the game.\n
\nFinally\, I will explain and how the goal of finding the perfect\npartne
r also helps with cohomology computation at a large scale\,\ninvolving 68
trillions of simplices.\n
DTSTART:20210305T190000Z
DTEND:20210305T200000Z
LAST-MODIFIED:20210305T162545Z
LOCATION:Remote Access
SUMMARY:Workshop on Topology: Identifying Order in Complex Systems
URL:https://www.ias.edu/math/events/workshop-topology-identifying-order-com
plex-systems-131
END:VEVENT
BEGIN:VEVENT
UID:c4aef8b2-2e7b-41ae-950d-a4876af54ba0
DTSTAMP:20210417T032823Z
CREATED:20201102T134915Z
DESCRIPTION:Topic: Strong refutation of semi-random Boolean CSPs\n\nSpeaker
s: Venkatesan Guruswami\n\nAffiliation: Carnegie Mellon University\n\nFor
a fixed integer k > 1\, the Boolean k-XOR problem consists of a\nsystem of
linear equations mod 2 with each equation involving exactly\nk variables.
We give an algorithm to strongly refute *semi-random*\ninstances of the B
oolean k-XOR problem on n variables that have\nn^{k/2} poly(log n) equatio
ns. (In a semi-random k-XOR instance\, the\nequations can be arbitrary and
only the right-hand sides are random.)\nVia known reductions\, this yield
s an efficient strong refutation\nalgorithm for semi-random instances of a
ll Boolean constraint\nsatisfaction problems. The number of constraints re
quired by our\nalgorithm matches\, up to polylogarithmic factors\, the bes
t-known\nbounds for efficient refutation of fully random instances.\n\nWhe
n k is even\, refutation of k-XOR follows via a natural flattening\nto a 2
-XOR instance on n^{k/2} variables. Such a straightforward\napproach is\,
however\, not available for odd k. The fully random case\nof k-XOR for odd
k was refuted in prior work via spectral methods\nemploying intricate tra
ce-moment computations. We first give a simpler\nproof for the purely rand
om case relying only on an off-the-shelf\nmatrix Bernstein inequality. Spr
ingboarding off the random case\, we\nidentify a combinatorial property of
random k-XOR instances that makes\nspectral refutation work\, and solve t
he semi-random case by reduction\nto a collection of 2-XOR instances and e
mploying spectral upper bounds\nthat utilize the Booleanity of the assignm
ent.\n\nJoint work with Jackson Abascal and Pravesh Kothari.\n
DTSTART:20210308T161500Z
DTEND:20210308T171500Z
LAST-MODIFIED:20210308T182426Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-477
END:VEVENT
BEGIN:VEVENT
UID:0f630fdc-bceb-47ed-a4f3-af1376348f50
DTSTAMP:20210417T032823Z
CREATED:20201209T231703Z
DESCRIPTION:Topic: Higher Representation Theory\n\nSpeakers: Raphaël Rouqui
er\n\nAffiliation: University of California\, Los Angeles\; Member\, Schoo
l of Mathematics\n\nNew types of symmetries have been considered in algebr
a and algebraic\ngeometry and a higher analog of representation theory has
been\ndeveloped to answer questions of classical representation theory.\n
Geometric representation theory can be viewed as\nrepresentation-theoretic
geometry. These new structures are related to\n4-dimensional topology and
are expected to be related to quantum field\ntheories.\n
DTSTART:20210308T190000Z
DTEND:20210308T200000Z
LAST-MODIFIED:20210308T182715Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-350
END:VEVENT
BEGIN:VEVENT
UID:6b078f53-e40d-4a2a-8789-88af9d90bed1
DTSTAMP:20210417T032823Z
CREATED:20210105T212027Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210308T213000Z
DTEND:20210308T223000Z
LAST-MODIFIED:20210305T171030Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-139
END:VEVENT
BEGIN:VEVENT
UID:b7489de6-38fd-45ff-ba91-01e48c1bed8c
DTSTAMP:20210417T032823Z
CREATED:20201105T142117Z
DESCRIPTION:Topic: Random k-out subgraphs\n\nSpeakers: Or Zamir\n\nAffiliat
ion: Member\, School of Mathematics\n\nRandom sampling a subgraph of a gra
ph is an important algorithmic\ntechnique. Solving some problems on the (
smaller) subgraph is\nnaturally faster\, and can give either a useful appr
oximate answer\, or\nsometimes even give a result that can be quickly modi
fied to an exact\nsolution\, on the original graph.\n\nWe study the follow
ing simple sampling model and question about it: \n\nEach vertex of an ar
bitrary simple graph on n vertices chooses k\nrandom incident edges. \n\n
What is the expected number of edges in the original graph that\nconnect d
ifferent connected components of the sampled subgraph?\n\nWe prove that th
e answer is O(n/k)\, when k ≥ c log n\, for some large\nenough c. We con
jecture that the same holds for smaller values of\nk\, possibly for any k
≥ 2. Such a result is best possible for any k\n≥ 2.\n\nAs an application\,
we use this sampling result to obtain a one-way\ncommunication protocol w
ith private randomness for finding a spanning\nforest of a graph in which
each vertex sends only O( \sqrt(n) log n)\nbits to a referee. \n\nBased o
n joint work with Jacob Holm\, Valeria King\, Mikkel Thorup and\nUri Zwick
.\n
DTSTART:20210309T153000Z
DTEND:20210309T173000Z
LAST-MODIFIED:20210309T145849Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-472
END:VEVENT
BEGIN:VEVENT
UID:657f1c82-84b5-4627-8236-d85caac924f1
DTSTAMP:20210417T032823Z
CREATED:20210105T221737Z
DESCRIPTION:Topic: Oriented pushouts and oriented fibre products\n\nSpeaker
s: Keyao Peng\n\nAffiliation: Institut Fourier Grenoble Alpes\n\n
DTSTART:20210309T183000Z
DTEND:20210309T203000Z
LAST-MODIFIED:20210305T171343Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-18
END:VEVENT
BEGIN:VEVENT
UID:ea6f386b-d8ea-4cc9-9670-558dbee6dc96
DTSTAMP:20210417T032823Z
CREATED:20210106T222053Z
DESCRIPTION:Topic: A friendly introduction to microlocal sheaves\n\nSpeaker
s: Michael McBreen\n\nAffiliation: Chinese University of Hong Kong\n\nWe w
ill study the singularities of sheaves on a manifold via the\nsymplectic g
eometry of its cotangent bundle\, following the work of\nSato\, Kashiwara\
, Schapira and others. We will then see how to organise\nthis information
into a sheaf of categories over the cotangent bundle\,\nand discuss some s
imple examples.\n
DTSTART:20210309T220000Z
DTEND:20210310T000000Z
LAST-MODIFIED:20210308T203701Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:a058a0d2-6855-4d23-9e89-13c8b9c76c18
DTSTAMP:20210417T032823Z
CREATED:20210105T233155Z
DESCRIPTION:Topic: Constraint metric approximation and constraint stability
\n\nSpeakers: Liviu Paunescu\n\nAffiliation: Romanian Academy\n\nConstrain
t metric approximation is about constructing an approximation\nof a group
$G$\, when the approximation is already given for a subgroup\n$H$. Similar
ly\, constraint stability is about lifting a representation\nof a group $G
$\, when the lift is already provided for a subgroup $H$.\nJoint work with
Goulnara Arzhantseva.
DTSTART:20210310T160000Z
DTEND:20210310T171500Z
LAST-MODIFIED:20210310T134625Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-17
END:VEVENT
BEGIN:VEVENT
UID:e9b3efb2-9bcb-4182-8884-d7ab87501f69
DTSTAMP:20210417T032823Z
CREATED:20210106T003029Z
DESCRIPTION:Topic: Two Geometric Realizations of the Affine Hecke Algebra I
\n\nSpeakers: Pablo Boixeda Alvarez\n\nAffiliation: Member\, School of Mat
hematics\n\nIn this talk we will begin the discussion of the results in\nB
ezrukavnikov's 'On Two Geometric Realizations of the Affine Hecke\nalgebra
'. We will put all the previous tools described in this series\nof talks t
ogether to construct the equivalence of monoidal categories\ncategorifying
the realization of the affine Hecke algebra as the\nK-ring of the Steinbe
rg variety.\n
DTSTART:20210310T200000Z
DTEND:20210310T220000Z
LAST-MODIFIED:20210305T172727Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:c8aee5ec-4b0b-431e-bfd1-3daabff01fee
DTSTAMP:20210417T032823Z
CREATED:20210106T004852Z
DESCRIPTION:Topic: Many interacting quantum particles: open problems\, and
a new point of view on an old problem\n\nSpeakers: Ian Jauslin\n\nAffiliat
ion: Princeton University\n\nThe main object of interest in this talk will
be a system of many\nparticles\, modeled using the prescriptions of quant
um mechanics. A\nsignificant challenge to studying such systems is that pa
rticles\ninteract with each other\, via weak or strong\, attractive or rep
ulsive\nforces\, which induce correlations\, and make it so that\, to unde
rstand\nthe properties of the system\, one must understand the behavior of
all\nparticles at once. In this talk\, I will consider one of the simples
t\ninteracting quantum systems\, called the 'Bose gas'\, and I will review
\nwhat is known\, and discuss a collection of open questions. Finally\, I
\nwill discuss an approach to this model\, which may seem odd at first\ngl
ance\, but which seems to be very successful to understand the\nproperties
of the interacting Bose gas in a way that is conceptually\nand computatio
nally simple.\n
DTSTART:20210310T223000Z
DTEND:20210311T000000Z
LAST-MODIFIED:20210329T180946Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-204
END:VEVENT
BEGIN:VEVENT
UID:adef526f-b5d2-49df-9ccc-8429725d4fa2
DTSTAMP:20210417T032823Z
CREATED:20201210T013130Z
DESCRIPTION:
DTSTART:20210311T150000Z
DTEND:20210311T170000Z
LAST-MODIFIED:20210106T042125Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:2a0a3730-f11a-46f3-9b7c-5b5f74b7f083
DTSTAMP:20210417T032823Z
CREATED:20210107T005002Z
DESCRIPTION:Topic: Continuation from last time\n\nSpeakers: Calder Morton-F
erguson\n\nAffiliation: Massachusetts Institute of Technology\n\nVideo\nli
nk: https://www.ias.edu/video/braid-group-actions-and-pbw-type-basis-pt2\n
DTSTART:20210311T210000Z
DTEND:20210311T230000Z
LAST-MODIFIED:20210311T133842Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-6
END:VEVENT
BEGIN:VEVENT
UID:0a5f4468-4442-405c-9efc-7ad25aaff1b3
DTSTAMP:20210417T032823Z
CREATED:20210106T011125Z
DESCRIPTION:Topic: Some remarks on Landau--Siegel zeros\n\nSpeakers: Alexan
dru Zaharescu\n\nAffiliation: University of Illinois at Urbana–Champaign\n
\n
DTSTART:20210311T213000Z
DTEND:20210311T223000Z
LAST-MODIFIED:20210311T134057Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-442
END:VEVENT
BEGIN:VEVENT
UID:3ce83ac9-1e6f-4aee-93cd-796bae4e6cc2
DTSTAMP:20210417T032823Z
CREATED:20210106T021948Z
DESCRIPTION:Topic: Inverting primes in Weinstein geometry\n\nSpeakers: Oleg
Lazarev\n\nAffiliation: Harvard University\n\nA classical construction in
topology associates to a space $X$ and\nprime $p$\, a new 'localized' spa
ce $X_p$ whose homotopy and homology\ngroups are obtained from those of $X
$ by inverting $p$. In this talk\,\nI will discuss a symplectic analog of
this construction\, extending\nwork of Abouzaid-Seidel and Cieliebak-Elias
hberg on flexible Weinstein\nstructures. Concretely\, I will produce prime
-localized Weinstein\nsubdomains of high-dimensional Weinstein domains and
also show that\nany Weinstein subdomain of a cotangent bundle agrees\nFuk
aya-categorically with one of these special subdomains. The key\nwill be t
o classify which objects of the Fukaya category of $T^{\ast}\nM$ – twisted
complexes of Lagrangians – are quasi-isomorphic to\nactual Lagrangians. T
his talk is based on joint work with Z. Sylvan.\n
DTSTART:20210312T141500Z
DTEND:20210312T154500Z
LAST-MODIFIED:20210305T173744Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-62
END:VEVENT
BEGIN:VEVENT
UID:37ce3caa-2449-4b21-94dc-42cfc9d6b65a
DTSTAMP:20210417T032823Z
CREATED:20201211T181634Z
DESCRIPTION:Topic: Local Proofs with Arbitrarily Small Encoding Overhead\n
\nSpeakers: Noga Ron-Zewi\n\nAffiliation: Haifa University\n\nThe celebrat
ed PCP theorem from the 90's shows that any mathematical\nproof can be enc
oded in such a way that its correctness can be\nverified locally by readin
g only a tiny number of bits from the\nencoding. This foundational result
has had a transformative effect on\ntheoretical computer science with dive
rse applications in complexity\ntheory and cryptography. \n\nA fundamental
question that has drawn a great amount of interest is\nwhat is the minima
l overhead in encoding that is needed to allow for\nsuch highly efficient
local verification. While the original PCP\ntheorem only guarantees a poly
nomial overhead\, a beautiful line of\nwork has culminated in remarkably s
hort encodings with only a\npoly-logarithmic overhead. \n\nMotivated by re
cent practical implementations of such proof systems\,\nwe study a relativ
ely new interactive variant of PCPs\, called\nInteractive Oracle Proofs\,
and show that for this model the overhead\nin the encoding can be made arb
itrarily small (approaching 1). Our\nproof leverages recent constructions
of high-rate locally testable and\ndecodable codes. \n\nJoint work with R
on Rothblum.\n
DTSTART:20210315T151500Z
DTEND:20210315T161500Z
LAST-MODIFIED:20210315T151535Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-478
END:VEVENT
BEGIN:VEVENT
UID:d9660da1-a8e1-4ad3-a62a-dbd3a316520d
DTSTAMP:20210417T032823Z
CREATED:20201209T231716Z
DESCRIPTION:Topic: Estimating the mean of a real valued distribution\n\nSpe
akers: Paul Valiant\n\nAffiliation: Brown University\; von Neumann Fellow\
, School of Mathematics\n\nI revisit the basic statistical problem of esti
mating the mean of a\nreal-valued distribution. I will introduce an estima
tor with the\nguarantee that 'our estimator\, on *any* distribution\, is a
s accurate\nas the sample mean is for the Gaussian distribution of matchin
g\nvariance.' Crucially\, in contrast to prior works\, our estimator does
\nnot require prior knowledge of the variance\, and works across the\nenti
re gamut of distributions with finite variance\, including those\nwithout
any higher moments. Parameterized by the sample size $n$\, the\nfailure pr
obability $\delta$\, and the variance $\sigma^2$\, our\nestimator is accur
ate to within\n$\sigma\cdot(1+o(1))\sqrt{\frac{2\log\frac{1}{\delta}}{n}}$
\, which is\ntight up to the $1+o(1)$ factor. I will contrast these result
s with\nongoing efforts to adapt these techniques to higher dimensions.\n
\nBased on joint work with Jasper Lee - https://arxiv.org/abs/2011.08384\n
DTSTART:20210315T180000Z
DTEND:20210315T190000Z
LAST-MODIFIED:20210315T122513Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Seminar
URL:https://www.ias.edu/math/events/members-seminar-356
END:VEVENT
BEGIN:VEVENT
UID:5e88bb61-e3c4-444c-8ad1-e9521d04540b
DTSTAMP:20210417T032823Z
CREATED:20210105T212043Z
DESCRIPTION:Topic: The dissipation properties of transport noise\n\nSpeaker
s: Franco Flandoli\n\nAffiliation: Scuola Normale Superiore di Pisa\n\nIn
2017 Lucio Galeati understood that a suitable scaling limit of\ncertain hy
perbolic PDEs with noise may lead to deterministic parabolic\nequations. S
ince then\, in collaboration with Lucio and Dejun Luo\, we\nhave understoo
d the phenomenon from several viewpoints and for\ndifferent models. Among
the consequences there is mixing\, enhanced\ndissipation\, delayed blow-up
due to noise for several classes of\nequations including Euler and Navier
-Stokes equations\, Keller-Siegel\nand reaction diffusion equations\; and
also rigorous results on eddy\nviscosity and eddy dissipation in turbulent
fluids have been proved.\nAlong with arguments of stochastic model reduct
ion\, developed with\nUmberto Pappalettera\, a picture arises of the poten
tial effects of\nsmall scale fluctuations on large scale properties of tur
bulent\nfluids.\n
DTSTART:20210315T203000Z
DTEND:20210315T213000Z
LAST-MODIFIED:20210315T122848Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-140
END:VEVENT
BEGIN:VEVENT
UID:acb063bc-bb38-4482-8cd2-3746ec71aaa4
DTSTAMP:20210417T032823Z
CREATED:20201211T183906Z
DESCRIPTION:Topic: Polynomial systems and mixed volumes\n\nSpeakers: Ricky
I Liu\n\nAffiliation: Member\, School of Mathematics\n\nBernstein's theore
m (also known as the\nBernstein-Khovanskii-Kushnirenko theorem) gives a bo
und on the number\nof nonzero solutions of a polynomial system of equation
s in terms of\nthe mixed volume of its Newton polytopes. In this talk\, we
will give\nsome background on polynomial systems and mixed volumes and th
en\nsketch a proof of Bernstein's theorem. We will also discuss some\nappl
ications to enumerative combinatorics\, including a bound on the\nnumber o
f doubly monic Laurent polynomials whose initial powers have\nvanishing co
nstant term in terms of Eulerian numbers.\n
DTSTART:20210316T143000Z
DTEND:20210316T163000Z
LAST-MODIFIED:20210316T124025Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-473
END:VEVENT
BEGIN:VEVENT
UID:50628421-7979-4a87-9f1e-be4e3188ac3c
DTSTAMP:20210417T032823Z
CREATED:20210105T221755Z
DESCRIPTION:Topic: Localisations and base change theorems\n\nSpeakers: Carl
os Tschudi Simpson\n\nAffiliation: CNRS\, Université de Nice Sophia Antipo
lis\n\n
DTSTART:20210316T173000Z
DTEND:20210316T193000Z
LAST-MODIFIED:20210305T171521Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-19
END:VEVENT
BEGIN:VEVENT
UID:1ee517a0-0a60-424e-a3ea-1bf62166aea2
DTSTAMP:20210417T032823Z
CREATED:20210106T222110Z
DESCRIPTION:Topic: Microlocal sheaves II: morphisms\, microperverse sheaves
and regular singularities\n\nSpeakers: Michael McBreen\n\nAffiliation: Ch
inese University of Hong Kong\n\nWe introduce basic tools of the trade: th
e Fourier-Sato transform\,\nspecialisation\, Sato's microlocalisation and
the microhom functor\,\nculminating with a concrete description of the mor
phisms in our\ncategory of microlocal sheaves. We use quantized contact\nt
ransformations to convert questions about microlocal sheaves into\nquestio
ns about ordinary sheaves. Time permitting\, we then discuss the\ndual not
ions of microlocal perverse sheaves and regular singular\nmicrodifferentia
l modules\, and take a stab at a microlocal\nRiemann-Hilbert correspondenc
e.\n
DTSTART:20210316T220000Z
DTEND:20210317T000000Z
LAST-MODIFIED:20210315T220302Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:17ea9890-a93d-45d7-a89a-0e21a67e88a8
DTSTAMP:20210417T032823Z
CREATED:20210105T233215Z
DESCRIPTION:Topic: Approximate representations of symplectomorphisms via qu
antization\n\nSpeakers: Leonid Polterovich\n\nAffiliation: Tel Aviv Univer
sity\n\nWe argue that quantization\, a mathematical model of the quantum\n
classical correspondence\, gives rise to approximate unitary\nrepresentati
ons of symplectomorphism groups. As an application\, we get\nan obstructio
n to symplectic action of Lubotzky-Oppenheim non $p$-norm\napproximated gr
oups. Preliminaries on symplectic geometry and\nquantization will be expla
ined. Joint work with Laurent Charles.
DTSTART:20210317T150000Z
DTEND:20210317T161500Z
LAST-MODIFIED:20210317T131217Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-18
END:VEVENT
BEGIN:VEVENT
UID:fd2af5af-1b88-4a32-bb05-84afbf21cbf5
DTSTAMP:20210417T032823Z
CREATED:20210106T003047Z
DESCRIPTION:Topic: Affine Hecke category and noncommutative Springer resolu
tion\n\nSpeakers: Roman Bezrukavnikov\n\nAffiliation: Massachusetts Instit
ute of Technology\; Member\, School of Mathematics\n\nI will start with a
few comments on the proof of the equivalence\npresented in the previous ta
lks. Then I will focus on the description\nof the abelian category of perv
erse sheaves on the affine flag variety\non the coherent side\, where the
answer is given in terms of the so\ncalled noncommutative Springer resolut
ion. This is a key ingredient in\napplications to representations of semis
imple Lie algebras\, leading to\nthe proof (with Mirkovic) of Lusztig's 19
99 conjecture for large $p$\,\nas well as applications to cells in affine
Weyl groups and asymptotic\nHecke algebras and potential applications to c
haracters of modules\nover an affine Lie algebra at the critical level and
(Kac - De\nConcini) quantum groups at a root of unity. The story can be v
iewed as\nupgrading a (very) special case of geometric Langlands duality t
o a\nstatement involving abelian\, rather than triangulated\, categories.
\n
DTSTART:20210317T190000Z
DTEND:20210317T210000Z
LAST-MODIFIED:20210310T220616Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:3f2a9573-aef2-4bf3-a71d-f10bbbad97b0
DTSTAMP:20210417T032823Z
CREATED:20210106T004909Z
DESCRIPTION:Topic: Embedded Contact Homology of Prequantization Bundles\n\n
Speakers: Jo Nelson\n\nAffiliation: Rice University\n\nEmbedded Contact Ho
mology (ECH) is a Floer type invariant due to\nHutchings. This talk provid
es a gentle overview of ECH (in part\nthrough a video of the Hopf fibratio
n) and sketches why ECH of a\nprequantization bundle over a Riemann surfac
e is isomorphic as a\n$Z/2Z$-graded group of the exterior algebra of its b
ase\, a result from\nthe 2011 PhD thesis of Farris. We explain an extensio
n of this result\nin joint work with M. Weiler. We also comment on future
work relating\nto ECH of Seifert fiber spaces with applications to surface
dynamics.\n
DTSTART:20210317T213000Z
DTEND:20210317T230000Z
LAST-MODIFIED:20210329T181006Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-205
END:VEVENT
BEGIN:VEVENT
UID:916b4a52-95ab-49ba-a544-9aa59aaeecc9
DTSTAMP:20210417T032823Z
CREATED:20201210T013142Z
DESCRIPTION:
DTSTART:20210318T140000Z
DTEND:20210318T160000Z
LAST-MODIFIED:20210106T042223Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:8f84a875-aeb6-4f64-82fd-5bfd9e3f3498
DTSTAMP:20210417T032823Z
CREATED:20210107T005019Z
DESCRIPTION:Topic: Algebraic groups and all in characteristic p\n\nSpeakers
: Ivan Loseu\n\nAffiliation: Yale University\; Member\, School of Mathemat
ics\n\nThe talk discusses basics of quantum groups at roots of unity with
\nmotivation from modular representation theory.\n
DTSTART:20210318T200000Z
DTEND:20210318T220000Z
LAST-MODIFIED:20210413T170720Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:5820d8a4-d0a2-4102-84e8-16865fe8a074
DTSTAMP:20210417T032823Z
CREATED:20210106T011141Z
DESCRIPTION:Topic: The Shafarevich Conjecture for Hypersurfaces in Abelian
Varieties\n\nSpeakers: Will Sawin\n\nAffiliation: Columbia University\n\nF
altings proved the statement\, previously conjectured by Shafarevich\,\nth
at there are finitely many abelian varieties of dimension $n$\,\ndefined o
ver a fixed number field\, with good reduction outside a fixed\nfinite set
of primes\, up to isomorphism. In joint work with Brian\nLawrence\, we pr
ove an analogous finiteness statement for hypersurfaces\nin a fixed abelia
n variety with good reduction outside a finite set of\nprimes. I will give
a broad introduction to some of the ideas in the\nproof\, which builds on
$p$-adic Hodge theory techniques from work of\nLawrence and Venkatesh as
well as sheaf convolution in algebraic\ngeometry.\n
DTSTART:20210318T203000Z
DTEND:20210318T213000Z
LAST-MODIFIED:20210318T130555Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-443
END:VEVENT
BEGIN:VEVENT
UID:497d9628-6d16-45e2-8719-a895ac70565c
DTSTAMP:20210417T032823Z
CREATED:20210106T022003Z
DESCRIPTION:Topic: Lagrangian configurations and Hamiltonian maps\n\nSpeake
rs: Egor Shelukhin\n\nAffiliation: University of Montreal\n\nWe study conf
igurations of disjoint Lagrangian submanifolds in certain\nlow-dimensional
symplectic manifolds from the perspective of the\ngeometry of Hamiltonian
maps. We detect infinite-dimensional flats in\nthe Hamiltonian group of t
he two-sphere equipped with Hofer's metric\,\nshowing in particular that t
his group is not quasi-isometric to a\nline. This answers a well-known que
stion of Kapovich-Polterovich from\n2006. We show that these flats in $Ham
(S^2)$ stabilize to certain\nproduct four-manifolds\, prove constraints on
Lagrangian packing\, and\nfind new instances of Lagrangian Poincare recur
rence. The technology\ninvolves Lagrangian spectral invariants with Hamilt
onian term in\nsymmetric product orbifolds. This is joint work with Leonid
\nPolterovich.\n
DTSTART:20210319T131500Z
DTEND:20210319T144500Z
LAST-MODIFIED:20210310T221844Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-63
END:VEVENT
BEGIN:VEVENT
UID:e2e54c3c-73da-4091-8345-d640650c9d27
DTSTAMP:20210417T032823Z
CREATED:20210226T010812Z
DESCRIPTION:Topic: Physics of functional networks\n\nSpeakers: Henrik Ronel
lenfitsch\n\nAffiliation: Williams College\n\nWe are surrounded by functio
nal networks\, from fluid transport in\nplants and animals to macroscopic
elastic scaffoldings and microscopic\ncrystals and materials\, and enginee
red power grids. Often\, such\nnetworks can be seen as optimized for their
function\, either through\nevolution and natural selection or by human de
sign. In this\npresentation\, we investigate a number of functional networ
ks from\nbiology and engineering and show how optimization shapes their\nw
eighted topology in similar ways despite their different functional\ngoals
.\n
DTSTART:20210319T180000Z
DTEND:20210319T190000Z
LAST-MODIFIED:20210319T203948Z
LOCATION:Remote Access
SUMMARY:Workshop on Topology: Identifying Order in Complex Systems
URL:https://www.ias.edu/math/events/workshop-topology-identifying-order-com
plex-systems-132
END:VEVENT
BEGIN:VEVENT
UID:de8d25cb-6e77-44b1-8925-6d30d0abf163
DTSTAMP:20210417T032823Z
CREATED:20201211T183006Z
DESCRIPTION:Topic: The abstract chromatic number\n\nSpeakers: Leonardo Naga
mi Coregliano\n\nAffiliation: University of Chicago\n\nWhat edge density o
f a graph guarantees that that it will contain a\nparticular subgraph? Or
one of a given family $\mathcal{F}$ of\nsubgraphs? The celebrated Erdős--S
tone--Simonovits Theorem\ncharacterizes the maximum edge density in $\math
cal{F}$-free graphs\,\nin terms of the minimum {\em chromatic number} of a
ny graph in the\nfamily $\mathcal{F}$. More recently\, generalizations of
this theorem\nfor ordered graphs\, cyclically ordered graphs\, edge-ordere
d graphs\,\netc. were shown in terms of appropriately defined chromatic nu
mbers.\n\nIn a recent joint work with A. Razborov\, we proved an analogue
of this\ntheorem in the general setting of 'graphs with an arbitrary extra
\nstructure' (formally\, these are encoded by an open interpretation from
\nthe theory of graphs to some universal first-order theory $T$) in\nterms
of an {\em abstract chromatic number}. However\, as its name\nsuggests\,
the initial formula for this abstract chromatic number is so\nabstract tha
t its computability was left as an open question.\n\nIn this talk\, I will
present this generalization of the\nErdős--Stone--Simonovits Theorem\, an
d an alternative formula for the\nabstract chromatic number based on a par
tite version of Ramsey's\nTheorem. This implies the computability of the a
bstract chromatic\nnumber when the underlying universal first-order theory
$T$ is\nfinitely axiomatizable.\n\nThis lecture will require no special b
ackground knowledge.\n
DTSTART:20210322T151500Z
DTEND:20210322T161500Z
LAST-MODIFIED:20210322T114206Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-479
END:VEVENT
BEGIN:VEVENT
UID:9fa88d9e-6c80-4de3-817f-69bb2a92c11c
DTSTAMP:20210417T032823Z
CREATED:20201209T231731Z
DESCRIPTION:Topic: String topology and the intersection product\n\nSpeakers
: Nathalie Wahl\n\nAffiliation: University of Copenhagen\; Member\, School
of Mathematics\n\nString topology\, as introduced by Chas and Sullivan 20
years ago\, is a\nproduct structure on the free loop space of a manifold
that lifts the\nclassical intersection product from the manifold to its lo
op space.\nI’ll explain how both a product and a coproduct can be defined
by\nlifting the intersection product\, and how this leads to a very rich\n
structure that we still do not fully understand.\n
DTSTART:20210322T180000Z
DTEND:20210322T190000Z
LAST-MODIFIED:20210322T141634Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium
END:VEVENT
BEGIN:VEVENT
UID:1b492db1-b550-4898-a31b-0ccd8a90b4a2
DTSTAMP:20210417T032823Z
CREATED:20210105T212101Z
DESCRIPTION:Topic: A stationary set method for estimating oscillatory integ
rals\n\nSpeakers: Ruixiang Zhang\n\nAffiliation: University of Wisconsin-M
adison\; Member\, School of Mathematics\n\nGiven a polynomial $P$ of const
ant degree in $d$ variables and\nconsider the oscillatory integral \[I_P =
\int_{[0\,1]^d} e(P(\xi)) \,\n\mathrm{d}\xi.\] Assuming the number $d$ of
variables is also fixed\,\nwhat is a good upper bound of $|I_P|$? In this
talk\, I will introduce\na ``stationary set'' method that gives an upper
bound with simple\ngeometric meaning. The proof of this bound mainly relie
s on the theory\nof o-minimal structures. As an application of our bound\,
we obtain the\nsharp convergence exponent in the two dimensional Tarry's
problem for\nevery degree via additional analysis on stationary sets. Cons
equently\,\nwe also prove the sharp $L^{\infty} \to L^p$ Fourier extension
\nestimates for every two dimensional Parsell-Vinogradov surface\nwhenever
the endpoint of the exponent $p$ is even. This is joint work\nwith Saugat
a Basu\, Shaoming Guo and Pavel Zorin-Kranich.\n
DTSTART:20210322T203000Z
DTEND:20210322T213000Z
LAST-MODIFIED:20210324T121551Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-141
END:VEVENT
BEGIN:VEVENT
UID:37ecb1b5-b947-48f5-80f0-cbdc5a0eb06e
DTSTAMP:20210417T032823Z
CREATED:20201211T183932Z
DESCRIPTION:Topic: Amortized circuit complexity\, formal complexity measure
s\, and catalytic algorithms\n\nSpeakers: Jeroen Zuiddam\n\nAffiliation: N
ew York University - Courant Institute of Mathematical Sciences\n\nSome of
the central questions in complexity theory address the\namortized complex
ity of computation (also sometimes known as direct\nsum problems). While t
hese questions appear in many contexts\, they are\nall variants of the fol
lowing: \n\nIs the best way of computing T many times in parallel simply t
o\ncompute T independently each time\, or\, can we achieve an economy of\n
scale and compute all copies of T more efficiently on average? \n\nIn this
talk\, we discuss some recent results studying the amortized\ncircuit com
plexity of computing boolean functions in various circuit\nmodels. The amo
rtized circuit complexity of a boolean function f is\ndefined to be the li
mit\, as m tends to infinity\, of the circuit\ncomplexity of computing f o
n the same input m times\, divided by m. We\nprove a new duality theorem f
or amortized circuit complexity in any\ncircuit model composed of gates ov
er a finite gate set\, showing that\nthe amortized circuit complexity of c
omputing f is equal to the best\nlower bound achieved by any 'formal compl
exity measure' applied to f.\nThis new duality theorem is inspired by\, an
d closely related to\,\nStrassen's duality theorem for semirings\, which h
as been fruitfully\nused to characterize the matrix multiplication exponen
t\, the Shannon\nCapacity of graphs\, as well as other important parameter
s in\ncombinatorics and complexity. We discuss how our new duality theorem
\ncan be used to give alternative proofs of upper bounds on amortized\ncir
cuit complexity\, and also the close relationship between amortized\ncircu
it complexity and catalytic algorithms\, in which an algorithm is\nprovide
d with an extra input of advice bits that it is free to use\, as\nlong as
it outputs a new copy of the extra advice on termination. \n\nThis is join
t work with Robert Robere.\n
DTSTART:20210323T143000Z
DTEND:20210323T163000Z
LAST-MODIFIED:20210323T120052Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-474
END:VEVENT
BEGIN:VEVENT
UID:9bc8a421-d33c-463b-8c7b-6a1a02074650
DTSTAMP:20210417T032823Z
CREATED:20210105T221812Z
DESCRIPTION:Topic: Stratified ∞-topoi and toposic décollage\n\nSpeakers: Cl
ark Barwick\n\nAffiliation: University of Edinburgh\n\n
DTSTART:20210323T173000Z
DTEND:20210323T193000Z
LAST-MODIFIED:20210318T201446Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-20
END:VEVENT
BEGIN:VEVENT
UID:75f92425-897d-40c5-b893-dc361f01cdf9
DTSTAMP:20210417T032823Z
CREATED:20210106T222126Z
DESCRIPTION:Topic: Microlocal sheaves III: Regular singularities and Rieman
n-Hilbert\n\nSpeakers: Michael McBreen\n\nAffiliation: Chinese University
of Hong Kong\n\nIn the last talk of this series\, we discuss the microloca
l criterion\nfor regular singularities of a D-module\, and the existence o
f special\nfiltrations on regular holonomic microdifferential modules. Thi
s\nallows us to define a D-module-theoretic analogue of the vanishing\ncyc
les functor along a smooth hypersurface. We'll see in detail how\nthis loo
ks in the one-dimensional case. We also take a brief look at\nthe microloc
al Riemann-Hilbert correspondence.\n
DTSTART:20210323T220000Z
DTEND:20210324T000000Z
LAST-MODIFIED:20210322T144553Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-18
END:VEVENT
BEGIN:VEVENT
UID:cf9347aa-e6e4-4be6-b18a-96fdf551e6a7
DTSTAMP:20210417T032823Z
CREATED:20210105T233231Z
DESCRIPTION:Topic: Why was Connes' embedding conjecture refuted and there a
re still no known non-hyperlinear groups?\n\nSpeakers: Michael Chapman \n
\nAffiliation: Hebrew University\n\nIn [MIP*=RE by JNVWY] the authors cons
truct a non-local game that\nresolves Tsirelson's problem to the negative
and by that refute\nConnes' embedding conjecture (CEC). The game *-algebra
(see e.g.\n[KPS]) enables one to construct a finitely presented *-algebra
from a\ngiven (synchronous) game. The *-algebra of the game from [JNVWY]
is\nrepresentable\, has a trace\, and its von Neumann closure is not\nembe
ddable in an ultraproduct of the hyperfinite\n$\mathrm{II}_1$-factor\, i.e
.\, it is not hyperlinear. If one could\nmanage to generate a game for whi
ch the *-algebra both refutes CEC and\nis the complex group ring of some g
roup $G$\, then one would have found\na non-hyperlinear group. There is a
known way of constructing games\nwhose *-algebra is the group ring of some
group $G$. These are called\n'Linear constraint system games' (See e.g. [
Slofstra\, KPS]). In this\ntalk I am going to:\n\n * Go through the defini
tions of non-local games\, game values and\nTsirelson's problem.\n * Introd
uce the game *-algebra.\n * Study representations of the game *-algebra and
their connection to\nvarious game values.\n * Define linear constraint sys
tem games and discuss some properties\nof their *-algebra (namely\, their
game group).\n * Explain how far the game in [JNVWY] is from being a linear
\nconstraint system game.\n\n
DTSTART:20210324T150000Z
DTEND:20210324T161500Z
LAST-MODIFIED:20210324T124728Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-19
END:VEVENT
BEGIN:VEVENT
UID:a83a68be-617e-43c1-8d2e-edc1e4a4f319
DTSTAMP:20210417T032823Z
CREATED:20210106T003104Z
DESCRIPTION:Topic: Parabolic version of the two realizations theorem and ap
plications to modular representation theory\n\nSpeakers: Ivan Loseu\n\nAff
iliation: Yale University\; Member\, School of Mathematics\n\nThe goal of
this talk is two-fold. We state a parabolic version of the\ntwo realizatio
ns theorem and sketch a proof. This version relates\nIwahori-constructible
sheaves on parabolic affine flag variety to\ncoherent sheaves on a parabo
lic version of the Steinberg. We also\nexplain an application of this resu
lt to the representation theory of\nsemisimple Lie algebras in positive ch
aracteristic. Our result here is\nan explicit character formula for approp
riately equivariant simple\nmodules with distinguished $p$-character. The
talk is based on\n2005.10030\, joint with Bezrukavnikov.\n
DTSTART:20210324T190000Z
DTEND:20210324T210000Z
LAST-MODIFIED:20210318T194921Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:46fa5cab-ee34-4bc7-bf5d-051b3b727756
DTSTAMP:20210417T032823Z
CREATED:20210106T004926Z
DESCRIPTION:Topic: Surfaces and Point Processes\n\nSpeakers: Jayadev Athrey
a\n\nAffiliation: University of Washington\n\nWe'll give several concrete
examples of how to go from the geometry of\nsurfaces to the study of point
processes\, following work of Siegel\,\nVeech\, Masur\, Eskin\, Mirzakhan
i\, Wright\, and others. We'll discuss how\nthis 'probabilistic' perspecti
ve helps inform both the direction of\nquestions one asks\, as well as pro
viding ideas of how to prove things.\nWe'll discuss some pieces of joint w
ork with Cheung-Masur\, Margulis\,\nand Arana-Herrera.\n
DTSTART:20210324T213000Z
DTEND:20210324T230000Z
LAST-MODIFIED:20210329T181026Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-206
END:VEVENT
BEGIN:VEVENT
UID:e015571c-0996-454f-ad71-65db377f59dc
DTSTAMP:20210417T032823Z
CREATED:20201210T013155Z
DESCRIPTION:
DTSTART:20210325T140000Z
DTEND:20210325T160000Z
LAST-MODIFIED:20210106T042322Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:8aa09f03-f9e4-4a9f-b100-eca3379320a5
DTSTAMP:20210417T032823Z
CREATED:20210107T005035Z
DESCRIPTION:Topic: Quantum groups at roots of unity\n\nSpeakers: Jay Taylor
\n\nAffiliation: University of Southern California\; Member\, School of Ma
thematics\n\nContinuation of the previous talk.\n
DTSTART:20210325T200000Z
DTEND:20210325T220000Z
LAST-MODIFIED:20210325T123553Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-7
END:VEVENT
BEGIN:VEVENT
UID:c0f22c87-9847-4ac9-af85-6eb122e1e37b
DTSTAMP:20210417T032823Z
CREATED:20210106T011157Z
DESCRIPTION:Topic: The local Gan-Gross-Prasad conjecture for real unitary g
roups\n\nSpeakers: Hang Xue\n\nAffiliation: The University of Arizona\n\nA
classical branching theorem of Weyl describes how an irreducible\nreprese
ntation of compact $U(n+1)$ decomposes when restricted to\n$U(n)$. The loc
al Gan-Gross-Prasad conjecture provides a conjectural\nextension to the se
tting of representations of noncompact unitary\ngroups lying in a generic
L-packet. We prove this conjecture.\nPreviously Beuzart-Plessis proved the
''multiplicity one in a Vogan\npacket'' part of the conjecture for temper
ed L-packets using the local\ntrace formula approach initiated by Waldspur
ger. Our proof uses theta\nlifts instead\, and is independent of the trace
formula argument.\n
DTSTART:20210325T203000Z
DTEND:20210325T213000Z
LAST-MODIFIED:20210325T180609Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-444
END:VEVENT
BEGIN:VEVENT
UID:7281f2c2-d0fc-4143-b35a-18583e6a8447
DTSTAMP:20210417T032823Z
CREATED:20210106T022020Z
DESCRIPTION:Topic: Three 20min research talks\n\nSpeakers: Jesse Huang\, Sh
aoyun Bai\, Thomas Melistas\n\nAffiliation: University of Illinois at Urba
na-Champaign\; Princeton University\; University of Georgia\n\nJESSE HUANG
(UIUC)\, Variation of FLTZ skeleta\n\nIn this short talk\, I will discuss
an interpolation of FLTZ skeleta\nmirror to derived equivalent toric vari
eties. This is joint work with\nPeng Zhou.\n\nSHAOYUN BAI (PRINCETON)\, $S
U(n)$–Casson invariants and symplectic\ngeometry\n\nIn 1985\, Casson intro
duced an invariant of integer homology 3-spheres\nby counting $SU(2)$-repr
esentations of the fundamental groups. The\ngeneralization of Casson invar
iant by considering Lie groups SU(n) has\nbeen long expected\, but the ori
ginal construction of Casson encounters\nsome difficulties. I will present
a solution to this problem\,\nhighlighting the equivariant symplectic geo
metry and Atiyah-Floer type\nresult entering the construction.\n\nTHOMAS M
ELISTAS (UGA)\, The Large-Scale Geometry of Overtwisted Contact\nForms\n\n
Inspired by the symplectic Banach-Mazur distance\, proposed by Ostrover\na
nd Polterovich in the setting of non-degenerate starshaped domains of\nLio
uville manifolds\, we define a distance on the space of contact\nforms sup
porting a given contact structure on a closed contact\nmanifold and we use
it to bi-Lipschitz embed part of the 2-dimensional\nEuclidean space into
the space of overtwisted contact forms supporting\na given contact structu
re on a smooth closed manifold.\n
DTSTART:20210326T131500Z
DTEND:20210326T144500Z
LAST-MODIFIED:20210318T200413Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-64
END:VEVENT
BEGIN:VEVENT
UID:0da08b62-e71f-487c-af13-09565f09213f
DTSTAMP:20210417T032823Z
CREATED:20201211T183039Z
DESCRIPTION:Topic: Approximating Max Cut with Subexponential Linear Program
s\n\nSpeakers: Tselil Schramm\n\nAffiliation: Stanford University\n\nIn th
e max cut problem\, we are given an n-vertex graph and we are\nasked what
is the maximum fraction of edges 'cut' by any partition of\nthe vertices?
This problem can be reformulated as an optimization\nproblem over the cut
polytope\, which has exponentially many vertices\nand facets. A classical
result of Goemans and Williamson proves that\nwe can approximate the max c
ut value of a graph within a factor of\n0.878\, by instead optimizing over
a spectrahedral relaxation of\npolynomial complexity. The theory-of-appro
ximation orthodoxy (for good\nreason) predicts that polytope relaxations a
re far inferior\, and small\npolytopes cannot hope to give non-trivial app
roximation to max cut. In\nthis talk\, I will describe a result which defi
es this prediction: we\nshow that polytopes with subexponentially many fac
ets *can* give\nnontrivial approximations to the max cut problem\, as well
as other\ncombinatorial optimization problems. This is in surprising cont
rast to\noptimization problems over the reals\, for which an exponential\n
separation between spectrahedra and polytopes is known.\n
DTSTART:20210329T151500Z
DTEND:20210329T161500Z
LAST-MODIFIED:20210329T120220Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-480
END:VEVENT
BEGIN:VEVENT
UID:6e84a7fa-13d5-47e0-bd71-761509d4f959
DTSTAMP:20210417T032823Z
CREATED:20210302T001112Z
DESCRIPTION:Topic: Towards canonical bases in homology of symplectic resolu
tions\n\nSpeakers: Roman Bezrukavnikov\n\nAffiliation: Massachusetts Insti
tute of Technology\; Member\, School of Mathematics\n\nI will describe a p
rogram aimed at understanding numerics of\nrepresentations of quantized sy
mplectic resolutions in positive\ncharacteristic. A key ingredient is a ge
neralization of the action of\nthe affine braid group on the derived categ
ory of coherent sheaves on\nthe Springer resolution. Partly based on a joi
nt project with Okounkov\nand an earlier paper with Anno and Mirkovic.\n
DTSTART:20210329T180000Z
DTEND:20210329T190000Z
LAST-MODIFIED:20210302T015816Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry
END:VEVENT
BEGIN:VEVENT
UID:83ba3ff3-a6d7-4c51-a132-ccd8dff3cdb9
DTSTAMP:20210417T032823Z
CREATED:20201209T231745Z
DESCRIPTION:Topic: No seminar: workshop\n\n
DTSTART:20210329T180000Z
DTEND:20210329T190000Z
LAST-MODIFIED:20210322T141701Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-0
END:VEVENT
BEGIN:VEVENT
UID:8abec92a-b14e-4964-a5bb-b53deb5d64db
DTSTAMP:20210417T032823Z
CREATED:20210302T001137Z
DESCRIPTION:Topic: Smith theory and Langlands functoriality\n\nSpeakers: To
ny Feng\n\nAffiliation: Member\, School of Mathematics\n\nAccording to Lan
glands’ conjectures\, algebraic automorphic forms\nshould be parametrized
by global Galois representations\, and smooth\nrepresentations of $p$-adic
groups should be parametrized by local\nGalois representations. These par
ametrizations have recently been\nconstructed in the function field contex
t by Vincent Lafforgue in the\nglobal setting\, and Genestier-Lafforgue in
the local setting. Using\nrecent tools in modular representation theory\,
including Smith theory\nand parity sheaves\, we prove that these parametr
izations enjoy certain\nexpected functoriality properties. Globally\, we e
stablish the\nexistence of functorial transfers of mod p automorphic forms
through\n$p$-cyclic base change. Locally\, we prove that Tate cohomology
\nrealizes cyclic base change functoriality in the mod $p$\nGenestier-Laff
orgue correspondence\, verifying a function field version\nof a conjecture
of Treumann-Venkatesh.\n
DTSTART:20210329T193000Z
DTEND:20210329T203000Z
LAST-MODIFIED:20210302T020000Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-0
END:VEVENT
BEGIN:VEVENT
UID:2bea3dfa-4264-4c52-95b8-cd71d011cc95
DTSTAMP:20210417T032823Z
CREATED:20210105T212116Z
DESCRIPTION:Topic: Mean-Field limits for Coulomb-type dynamics\n\nSpeakers:
Sylvia Serfaty\n\nAffiliation: New York University\n\nWe consider a syste
m of $N$ particles evolving according to the\ngradient flow of their Coulo
mb or Riesz interaction\, or a similar\nconservative flow\, and possible a
dded random diffusion. By Riesz\ninteraction\, we mean inverse power $s$ o
f the distance with $s$\nbetween $d-2$ and $d$ where $d$ denotes the dimen
sion. We present a\nconvergence result as $N$ tends to infinity to the exp
ected limiting\nmean field evolution equation. We also discuss the derivat
ion of\nVlasov-Poisson from newtonian dynamics in the monokinetic case\, a
s\nwell as related results for Ginzburg-Landau vortex dynamics.\n
DTSTART:20210329T203000Z
DTEND:20210329T213000Z
LAST-MODIFIED:20210329T121159Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-142
END:VEVENT
BEGIN:VEVENT
UID:37097b14-09a5-437b-99f9-f78182505587
DTSTAMP:20210417T032823Z
CREATED:20210302T001159Z
DESCRIPTION:Topic: Modular perverse sheaves on symplectic singularities\n\n
Speakers: Tom Braden\n\nAffiliation: University of Massachusetts\; Member\
, School of Mathematics\n\nA symplectic singularity has a natural stratifi
cation by Poisson\nleaves\, which are symplectic\, hence even-dimensional.
Perverse\nsheaves constructible with respect to this stratification are
\nsemisimple if the coefficients are in characteristic zero\, but with\nch
aracteristic p coefficients the categories can be complicated. I\nwill di
scuss two cases where this category has been understood. For\nthe nilpote
nt cone of $GL(n)$\, Mautner showed that perverse sheaves\nare equivalent
to representations of a Schur algebra $S(n\,n)$\, which\nis a highest weig
ht category and is its own Ringel dual. In joint\nwork with Mautner\, we
showed that perverse sheaves on an affine\nhypertoric variety form a highe
st weight category which is Ringel dual\nto the same category for the symp
lectic dual hypertoric variety. \nTime permitting\, I will discuss what mi
ght be true for other\nsymplectic singularities.\n
DTSTART:20210329T210000Z
DTEND:20210329T220000Z
LAST-MODIFIED:20210302T020019Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-1
END:VEVENT
BEGIN:VEVENT
UID:b338fedb-8d0b-4c5b-8f33-41d7d8ebaab6
DTSTAMP:20210417T032823Z
CREATED:20210302T001222Z
DESCRIPTION:Topic: From Weyl modules to simple modules in many small steps
\n\nSpeakers: George Lusztig\n\nAffiliation: Massachusetts Institute of Te
chnology\n\nLet G be a semisimple group over an algebraically closed field
of\nlarge characteristic. There are two important types of rational\nrepr
esentations of G: the Weyl modules and the simple modules. We will\nexplai
n how to go from the first type to the second type by a sequence\nof small
steps.\n
DTSTART:20210330T130000Z
DTEND:20210330T140000Z
LAST-MODIFIED:20210322T120652Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-2
END:VEVENT
BEGIN:VEVENT
UID:3622cd03-2e37-43ce-9d6e-0a6c3d29e3f5
DTSTAMP:20210417T032823Z
CREATED:20210302T001246Z
DESCRIPTION:Topic: Flag manifolds over semifields I\n\nSpeakers: Huanchen B
ao\n\nAffiliation: National University of Singapore\; Member\, School of M
athematics\n\nThe study of totally positive matrices\, i.e.\, matrices wit
h positive\nminors\, dates back to 1930s. The theory was generalised by Lu
sztig to\narbitrary split reductive groups using canonical bases\, and has
\nsignificant impacts on the theory of cluster algebras\, higher\nteichmul
ler theory\, etc. In the first talk\, we survey basics of total\npositivit
y and explain its generalization to general semifields for\nKac-Moody grou
ps. In the second talk\, we shall focus on totally\npositive flag manifold
s and discuss various topological properties.\n
DTSTART:20210330T143000Z
DTEND:20210330T153000Z
LAST-MODIFIED:20210302T020101Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-3
END:VEVENT
BEGIN:VEVENT
UID:4fb42974-d2d6-42d9-ada8-0abc7b02b905
DTSTAMP:20210417T032823Z
CREATED:20201211T184005Z
DESCRIPTION:Topic: Computational - Statistical gaps and the Group Testing
problem\n\nSpeakers: Fotis Iliopoulos\n\nAffiliation: Member\, School of M
athematics\n\nIn a plethora of random models for constraint satisfaction a
nd\nstatistical inference problems\, researchers from different communitie
s\nhave observed computational gaps between what existential or\nbrute-for
ce methods promise\, and what known efficient algorithms\nachieve. In this
talk\, I will discuss this phenomenon in the context\nof the so-called Gr
oup Testing problem.\n\nGroup Testing is a fundamental problem in statisti
cal inference with\nmany real-world applications. The goal is to detect a
set of k\ndefective items out of a population of size p using n << p tests
.\nTowards that end\, one is allowed to utilize a procedure that can test
\ngroups of items\, in which each test is returned positive if and only\ni
f at least one item in the group is defective. In this talk\, I will\ndis
cuss the task of _approximate_ recovery\, in which we tolerate\nhaving a s
mall number of incorrectly classified items.\n
DTSTART:20210330T143000Z
DTEND:20210330T163000Z
LAST-MODIFIED:20210331T142820Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-475
END:VEVENT
BEGIN:VEVENT
UID:a98ab1e9-3761-429d-bb5d-8522d7f531a9
DTSTAMP:20210417T032823Z
CREATED:20210302T001308Z
DESCRIPTION:Topic: Springer\, Procesi and Cherednik\n\nSpeakers: Ivan Loseu
\n\nAffiliation: Yale University\; Member\, School of Mathematics\n\nThe t
alk is based on a joint work with Pablo Boixeda Alvarez. We study\nequivar
iant Borel-Moore homology of certain affine Springer fibers and\nrelate th
em to global sections of suitable vector bundles arising from\nProcesi bun
dles on Q-factorial terminalizations of symplectic quotient\nsingularities
. We use this relation to derive some information on the\ncenter of the pr
incipal block of the small quantum group. Our main\ntechnique is based on
studying bimodules over Cherednik algebras.\n
DTSTART:20210330T160000Z
DTEND:20210330T170000Z
LAST-MODIFIED:20210302T020120Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-4
END:VEVENT
BEGIN:VEVENT
UID:cc39f74b-c489-447c-b362-52ddb8d6c8fd
DTSTAMP:20210417T032823Z
CREATED:20210105T221829Z
DESCRIPTION:Topic: Exodromy correspondence for stratified ∞-topoi\n\nSpeake
rs: Remy van Dobben de Bruyn\n\nAffiliation: Institute for Advanced Study
and Princeton University\; Veblen Research Instructor\, School of Mathemat
ics\n\n
DTSTART:20210330T173000Z
DTEND:20210330T193000Z
LAST-MODIFIED:20210325T163048Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-21
END:VEVENT
BEGIN:VEVENT
UID:22d6c88d-b78f-44f4-9345-03cbd877a408
DTSTAMP:20210417T032823Z
CREATED:20210106T222141Z
DESCRIPTION:Topic: No seminar: workshop\n\n
DTSTART:20210330T190000Z
DTEND:20210330T210000Z
LAST-MODIFIED:20210325T175042Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:c008f725-f220-43fe-b675-860785012f06
DTSTAMP:20210417T032823Z
CREATED:20210105T233246Z
DESCRIPTION:Topic: Ultrametric stability problems\n\nSpeakers: Francesco Fo
urnier-Facio\n\nAffiliation: Eidgenössische Technische Hochschule Zürich\n
\nWe study stability problems with respect to families of groups\nequipped
with bi-invariant ultrametrics\, that is\, metrics satisfying\nthe strong
triangle inequality. This property has very strong\nconsequences\, and th
is form of stability behaves very differently from\nthe other ones that we
saw throughout the seminar. Many results can be\nestablished in full gene
rality\, but we will focus on a p-adic analogue\nof Ulam stability\, where
the family of approximating groups is\n$GL_n(Z_p)$.\n
DTSTART:20210331T150000Z
DTEND:20210331T161500Z
LAST-MODIFIED:20210413T173417Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-20
END:VEVENT
BEGIN:VEVENT
UID:a88ef85f-56db-4632-9386-e3ee7a3a3d67
DTSTAMP:20210417T032823Z
CREATED:20210302T001331Z
DESCRIPTION:Topic: Webs in type C\n\nSpeakers: Benjamin Elias\n\nAffiliatio
n: University of Oregon\; von Neumann Fellow\, School of Mathematics\n\nIn
1997\, Kuperberg gave a generators-and-relations presentation of the\nmon
oidal category Fund\, whose objects are tensor products of\nfundamental re
presentations\, for all rank 2 lie algebras. The general\ncase has been an
open problem since. It was solved in type A in 2014\nby Cautis-Kamnitzer-
Morrison\, and this talk will be about the solution\nin type C\, which is
recent work of Bodish-Elias-Rose-Tatham. More\nimportantly\, we introduce
a basis of our category\, analogous to the\nbasis constructed in type A by
Elias in 2016. One of the goals of this\ntalk is to explain the philosoph
y of plethysm patterns and their\nassociated light ladders bases.\n
DTSTART:20210331T180000Z
DTEND:20210331T190000Z
LAST-MODIFIED:20210302T020417Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-5
END:VEVENT
BEGIN:VEVENT
UID:95598764-4365-49db-9e6e-d8ad4fd18582
DTSTAMP:20210417T032823Z
CREATED:20210106T003120Z
DESCRIPTION:Topic: No seminar: workshop\n\n
DTSTART:20210331T190000Z
DTEND:20210331T210000Z
LAST-MODIFIED:20210106T003827Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:f3a3d9b2-f58a-4e7b-bddd-af6a061177ca
DTSTAMP:20210417T032823Z
CREATED:20210302T001354Z
DESCRIPTION:Topic: New isolated symplectic singularities with trivial funda
mental group\n\nSpeakers: Daniel Juteau\n\nAffiliation: CNRS\, Université
Paris Diderot\; Member\, School of Mathematics\n\nAbstract: In 2000\, Arna
ud Beauville introduced the notion of\nsymplectic singularities and raised
the question of classifying\nisolated symplectic singularities with trivi
al local fundamental\ngroup: the latter condition is meant to avoid the nu
merous quotient\nsingularities\, since their classification would become i
ntractable as\nthe dimension increases. Actually\, he asked whether there
was any\nexample beyond minimal nilpotent orbit closures in simple Lie\nal
gebras. We will describe a family of four-dimensional examples\nrelated to
dihedral groups\, which can be described in several ways:\nblow-up of quo
tient singularities\, Calogero-Moser spaces\, or covers of\nnilpotent slic
es\, with Nakajima quiver varieties providing connections\nbetween the las
t two. The one attached to the dihedral group of order\n10 appears in the
nilpotent cone of type $E_8$. This is joint work\nwith Gwyn Bellamy\, Cédr
ic Bonnafé\, Baohua Fu\, Paul Levy\, and Eric\nSommers.\n
DTSTART:20210331T193000Z
DTEND:20210331T203000Z
LAST-MODIFIED:20210330T180350Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-6
END:VEVENT
BEGIN:VEVENT
UID:f52eea82-729f-448c-8bab-6f0283986f16
DTSTAMP:20210417T032823Z
CREATED:20210302T001416Z
DESCRIPTION:Topic: Rationality properties of complex characters of finite g
roups\n\nSpeakers: Pham Tiep\n\nAffiliation: Rutgers University\; Member\
, School of Mathematics\n\nWhat can one say about the fields of values of
irreducible complex\ncharacters $\chi$ of a given finite group $G$? In par
ticular when $G$\nis a finite (quasi)simple group? What about the ``McKay
situation''\,\ni.e. when the degree of $\chi$ is coprime to a fixed prime
$p$? We\nwill discuss these and related questions\, and report on some rec
ent\nresults\, most of which are obtained jointly with G. Navarro.\n
DTSTART:20210331T210000Z
DTEND:20210331T220000Z
LAST-MODIFIED:20210302T020458Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-7
END:VEVENT
BEGIN:VEVENT
UID:b8acd5a0-a853-4fad-a72c-631fa34e8d81
DTSTAMP:20210417T032823Z
CREATED:20210106T004944Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210331T213000Z
DTEND:20210331T230000Z
LAST-MODIFIED:20210329T181046Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-207
END:VEVENT
BEGIN:VEVENT
UID:fb38bfee-2ad6-4dbc-b035-303aefac26ed
DTSTAMP:20210417T032823Z
CREATED:20210302T001439Z
DESCRIPTION:Topic: A Hecke action on the principal block of a semisimple al
gebraic group\n\nSpeakers: Simon Riche\n\nAffiliation: Université Paris 6\
; Member\, School of Mathematics\n\nI will explain the construction of an
action of the Hecke category on\nthe principal block of representations of
a connected reductive\nalgebraic group over an algebraically closed field
of positive\ncharacteristic\, obtained in joint work with Roman Bezrukavn
ikov. As\nnoticed in earlier work with Geordie Williamson\, the existence
of this\naction has nice consequences\, in particular a character formula
for\nindecomposable tilting modules in terms of $p$-Kazhdan-Lusztig\npolyn
omials.\n
DTSTART:20210401T130000Z
DTEND:20210401T140000Z
LAST-MODIFIED:20210329T122053Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-8
END:VEVENT
BEGIN:VEVENT
UID:2ffd0c67-9921-4bae-8a03-e4d76671683b
DTSTAMP:20210417T032823Z
CREATED:20201210T013207Z
DESCRIPTION:
DTSTART:20210401T140000Z
DTEND:20210401T160000Z
LAST-MODIFIED:20210106T042420Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:91db80ed-a117-45b5-a881-906700f7c2fc
DTSTAMP:20210417T032823Z
CREATED:20210302T001501Z
DESCRIPTION:Topic: Approximating tilting modules\n\nSpeakers: Peter Fiebig
\n\nAffiliation: Friedrich-Alexander-Universität Erlangen-Nürnberg\; Membe
r\, School of Mathematics\n\nUsing the arithmetics of quantum numbers we c
onstruct some\n“approximations” of tilting modules for reductive algebraic
groups\nthat might be useful for understanding the generational patterns
of\ntilting characters conjectured by Lusztig and Williamson.\n
DTSTART:20210401T143000Z
DTEND:20210401T153000Z
LAST-MODIFIED:20210302T020537Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-9
END:VEVENT
BEGIN:VEVENT
UID:b69b6c72-734b-46b3-a6f5-4ad2f0167e7d
DTSTAMP:20210417T032823Z
CREATED:20210302T001526Z
DESCRIPTION:Topic: Stokes phenomena\, Poisson-Lie groups and quantum groups
\n\nSpeakers: Valerio Toledano Laredo\n\nAffiliation: Northeastern Univers
ity\; Member\, School of Mathematics\n\nLet $G$ be a complex reductive gro
up\, $G^*$ its dual Poisson-Lie\ngroup\, and $g$ the Lie algebra of $G$. $
G$-valued Stokes phenomena\nwere exploited by P. Boalch to linearise the P
oisson structure on\n$G^*$. I will explain how $Ug$-valued Stokes phenomen
a can be used to\ngive a purely transcendental construction of the quantum
group $Uhg$\,\nand show that the semiclassical limit of this construction
recovers\nBoalch’s. The latter result is joint work with Xiaomeng Xu.\n
DTSTART:20210401T160000Z
DTEND:20210401T170000Z
LAST-MODIFIED:20210302T020557Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-10
END:VEVENT
BEGIN:VEVENT
UID:d2b7f81e-cff9-450d-b8ac-3da6751b00d7
DTSTAMP:20210417T032823Z
CREATED:20210107T005052Z
DESCRIPTION:Topic: Quantum groups at roots of unity\n\nSpeakers: Jay Taylor
\n\nAffiliation: University of Southern California\; Member\, School of Ma
thematics\n\nContinuation of the talk from last time.\n\n \n
DTSTART:20210401T200000Z
DTEND:20210401T220000Z
LAST-MODIFIED:20210401T125738Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-8
END:VEVENT
BEGIN:VEVENT
UID:9103c0c3-f857-4ffa-ab7a-e36362e4e5c6
DTSTAMP:20210417T032823Z
CREATED:20210106T011215Z
DESCRIPTION:Topic: Eisenstein series\, p-adic deformations\, Galois represe
ntations\, and the group G_2\n\nSpeakers: Sam Mundy\n\nAffiliation: Columb
ia University\n\nI will explain some recent work on special cases of the B
loch-Kato\nconjecture for the symmetric cube of certain modular Galois\nre
presentations. Under certain standard conjectures\, this work\nconstructs
nontrivial elements in the Selmer groups of these symmetric\ncube Galois r
epresentations\; this works by $p$-adically deforming\ncritical Eisenstein
series in a generically cuspidal family of\nautomorphic representations\,
and then constructing a lattice in the\nassociated family of Galois repre
sentations\, all for the exceptional\ngroup $G_2$. While I will touch on a
ll of these aspects of the\nconstruction\, I will mainly focus on the Galo
is side in this talk.\n
DTSTART:20210401T203000Z
DTEND:20210401T213000Z
LAST-MODIFIED:20210401T124909Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-445
END:VEVENT
BEGIN:VEVENT
UID:8f348aa8-e45b-4312-be7a-3abd482d1856
DTSTAMP:20210417T032823Z
CREATED:20210106T022037Z
DESCRIPTION:Topic: Categorical non-properness in wrapped Floer theory\n\nSp
eakers: Sheel Ganatra\n\nAffiliation: University of Southern California\n
\nIn all known explicit computations on Weinstein manifolds\, the\nself-wr
apped Floer homology of non-compact exact Lagrangian is always\neither inf
inite-dimensional or zero. We will explain why a global\nvariant of this o
bserved phenomenon holds in broad generality: the\nwrapped Fukaya category
of any Weinstein (or non-degenerate Liouville)\nmanifold is always either
non-proper or zero\, as is any quotient\nthereof. Moreover any non-compac
t connected exact Lagrangian is always\neither a 'non-proper object' or ze
ro in such a wrapped Fukaya\ncategory\, as is any idempotent summand there
of. We will also examine\nwhere the argument could break if one drops exac
tness\, which is\nconsistent with known computations of non-exact wrapped
Fukaya\ncategories which are smooth\, proper\, and non-vanishing (e.g.\, w
ork of\nRitter-Smith).\n
DTSTART:20210402T131500Z
DTEND:20210402T144500Z
LAST-MODIFIED:20210326T132842Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-65
END:VEVENT
BEGIN:VEVENT
UID:264e171d-efed-4436-b93f-53bb80577196
DTSTAMP:20210417T032823Z
CREATED:20210302T001549Z
DESCRIPTION:Topic: Representations of p-adic groups\n\nSpeakers: Jessica Fi
ntzen\n\nAffiliation: University of Cambridge and Duke University\; Membe
r\, School of Mathematics\n\nThe Langlands program is a far-reaching colle
ction of conjectures that\nrelate different areas of mathematics including
number theory and\nrepresentation theory. A fundamental problem on the re
presentation\ntheory side of the local Langlands program is the constructi
on of all\n(irreducible\, smooth) representations of $p$-adic groups.\n\nI
intend to provide an overview of our understanding of the complex\nand mo
d-$\ell$ representations of $p$-adic groups and outline recent\ndevelopmen
ts.\n
DTSTART:20210402T180000Z
DTEND:20210402T190000Z
LAST-MODIFIED:20210302T020615Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-11
END:VEVENT
BEGIN:VEVENT
UID:ff8bb935-f23c-4014-beef-3f670b3b377c
DTSTAMP:20210417T032823Z
CREATED:20210226T013322Z
DESCRIPTION:Topic: The missing link\n\nSpeakers: Vidit Nanda\n\nAffiliation
: Oxford University\n\nLinks of strata in singular spaces are fundamental
invariants which\ngovern the topology of small neighbourhoods around point
s in those\nstrata. This talk will focus on inferring links of strata from
\nincomplete information in three completely different contexts. In each\n
case\, there are exciting consequences of learning the structure of\nsuch
links.\n
DTSTART:20210402T180000Z
DTEND:20210402T190000Z
LAST-MODIFIED:20210325T192259Z
LOCATION:Remote Access
SUMMARY:Workshop on Topology: Identifying Order in Complex Systems
URL:https://www.ias.edu/math/events/workshop-topology-identifying-order-com
plex-systems-133
END:VEVENT
BEGIN:VEVENT
UID:d70bb957-6030-428b-8413-54b880a29d60
DTSTAMP:20210417T032823Z
CREATED:20210302T001613Z
DESCRIPTION:Topic: Lax 2-tensor constructions\n\nSpeakers: Raphaël Rouquier
\n\nAffiliation: University of California\, Los Angeles\; Member\, School
of Mathematics\n\nIn joint work with Andy Manion\, we required a generaliz
ation of the\ntensor product of 2-representations in order to reconstruct
the\n2-dimensional part of Lipshitz-Oszvath-Szabo’s bordered\nHeegaard-Flo
er theory. I will discuss this and possible perspectives\nfor the reconstr
uction of representation-theoretic or geometric\ncategories.\n
DTSTART:20210402T193000Z
DTEND:20210402T203000Z
LAST-MODIFIED:20210302T020635Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-12
END:VEVENT
BEGIN:VEVENT
UID:114dd9e9-23a0-4d4f-86ab-fcc04d49dd9d
DTSTAMP:20210417T032823Z
CREATED:20210302T001636Z
DESCRIPTION:Topic: Double covers of tori and the local Langlands correspond
ence\n\nSpeakers: Tasho Kaletha\n\nAffiliation: University of Michigan\n\n
Given a maximal torus $T$ of a connected reductive group $G$ over a\nlocal
field $F$\, there does not exist a canonical embedding of the\nL-group of
$T$ into the L-group of $G$. Generalizing work of Adams and\nVogan in the
case $F=R$\, we will construct a natural double cover of\nthe topological
group $T(F)$ and an associated L-group that does have\na canonical embedd
ing into the L-group of $G$. This leads to a natural\nbijection between di
screte Langlands parameters for $G$ emanating from\nthe Weil group of $F$\
, and certain pairs consisting of a maximal torus\nand a genuine character
of its double cover. The associated L-packet\ncan be characterized by its
stable character\, and we will give a\nformula for it in terms of the gen
uine character of the double cover.\nWe will then discuss an explicit cons
truction of this L-packet in the\nnon-archimedean case. Certain assumption
s on $p$ will be required.\n
DTSTART:20210402T210000Z
DTEND:20210402T220000Z
LAST-MODIFIED:20210302T020655Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-13
END:VEVENT
BEGIN:VEVENT
UID:565478fa-ef6a-42f3-93f2-2da443373ab6
DTSTAMP:20210417T032823Z
CREATED:20210302T001659Z
DESCRIPTION:Topic: Towards derived Satake equivalence for symmetric varieti
es\n\nSpeakers: Tsao-Hsien Chen\n\nAffiliation: University of Minnesota\;
Member\, School of Mathematics\n\nIn an ongoing project of D. Ben-Zvi\, Y.
Sakellaridis and A. Venkatesh\,\nthe authors propose a conjectural genera
lization of the derived Satake\nequivalence for complex reductive groups t
o spherical varieties. I\nwill describe a program aimed at establishing th
eir conjecture in the\ncase of symmetric varieties (an important class of
spherical\nvarieties). A key ingredient is the relation between the derive
d\nSatake equivalence for symmetric varieties and the geometric Langlands
\nfor real reductive groups. This is joint work with David Nadler.\n
DTSTART:20210403T130000Z
DTEND:20210403T140000Z
LAST-MODIFIED:20210322T120851Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-14
END:VEVENT
BEGIN:VEVENT
UID:907a445a-a891-4bfd-aea1-df9652659939
DTSTAMP:20210417T032823Z
CREATED:20210302T001723Z
DESCRIPTION:Topic: Flag manifolds over semifields II\n\nSpeakers: Xuhua He
\n\nAffiliation: Chinese University of Hong Kong\; Member\, School of Math
ematics\n\nThe study of totally positive matrices\, i.e.\, matrices with p
ositive\nminors\, dates back to 1930s. The theory was generalised by Luszt
ig to\narbitrary split reductive groups using canonical bases\, and has\ns
ignificant impacts on the theory of cluster algebras\, higher\nteichmuller
theory\, etc. In the first talk\, we survey basics of total\npositivity a
nd explain its generalization to general semifields for\nKac-Moody groups.
In the second talk\, we shall focus on totally\npositive flag manifolds a
nd discuss various topological properties.\n
DTSTART:20210403T143000Z
DTEND:20210403T153000Z
LAST-MODIFIED:20210302T020732Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-15
END:VEVENT
BEGIN:VEVENT
UID:4350a5e5-7748-4c95-b8f1-f3d9a26770f4
DTSTAMP:20210417T032823Z
CREATED:20210302T001745Z
DESCRIPTION:Topic: The Drinfeld--Sokolov reduction of admissible representa
tions of affine Lie algebras\n\nSpeakers: Gurbir Dhillon\n\nAffiliation: Y
ale University\n\nLet $g$ be a semisimple Lie algebra. The affine W-algebr
a associated\nto $g$ is a topological algebra which quantizes the algebrai
c loop\nspace of the Kostant slice. It is constructed as a quantum Hamilto
nian\n(alias quantum Drinfeld--Sokolov) reduction of the corresponding\naf
fine Lie algebra. The admissible representations (resp.\, minimal\nseries)
are a family of highest weight modules for affine Lie algebras\n(resp.\,
affine W-algebras) distinguished by their role in rational\nconformal fiel
d theory. A basic pair of conjectures proposed by\nFrenkel--Kac--Wakimoto
state that two versions of the\nDrinfeld--Sokolov reduction functor send a
dmissible representations of\naffine Lie algebras to minimal series repres
entations of W-algebras.\nFor one version\, the 'minus' reduction\, this w
as settled by Arakawa.\nWe have confirmed the conjecture for the outstandi
ng 'plus' reduction.\nThe main new technical inputs come from the local qu
antum geometric\nLanglands program.\n
DTSTART:20210403T160000Z
DTEND:20210403T170000Z
LAST-MODIFIED:20210324T123817Z
LOCATION:Virtual
SUMMARY:Workshop on Representation Theory and Geometry
URL:https://www.ias.edu/math/events/workshop-representation-theory-and-geom
etry-16
END:VEVENT
BEGIN:VEVENT
UID:54c7dd1b-3017-47bb-89c1-cbabf625c0b7
DTSTAMP:20210417T032823Z
CREATED:20201211T183110Z
DESCRIPTION:Topic: Pandora's Box with Correlations: Learning and Approximat
ion\n\nSpeakers: Shuchi Chawla\n\nAffiliation: University of Wisconsin-Mad
ison\n\nIn the Pandora's Box problem\, the algorithm is provided with a nu
mber\nof boxes with unknown (stochastic) rewards contained inside them. Th
e\nalgorithm can open any box at some cost\, discover the reward inside\,
\nand based on these observations can choose one box and keep the reward\n
contained in it. Given the distributions from which the rewards are\ndrawn
\, the algorithm must determine an order in which to open the\nboxes as we
ll as when to stop and accept the best reward found so far.\nIn general\,
an optimal algorithm may make both decisions adaptively\nbased on instanti
ations observed previously. The Pandora's Box problem\nand its extensions
capture many kinds of optimization problems with\nstochastic input where t
he algorithm can obtain instantiations of\ninput random variables at some
cost. Previous work on these problems\nassumes that different random varia
bles in the input are distributed\nindependently. As such it does not capt
ure many real-world settings.\nIn this work\, we provide the first algorit
hms for Pandora's Box-type\nproblems with correlations. In the independent
setting\, optimal\nalgorithms are non-adaptive and based on the notion of
the Gittins\nindex. These techniques fail to extend to the correlated cas
e. We\nassume that the algorithm has access to samples drawn from the join
t\ndistribution on input and provide solutions that require few samples\;
\nare computationally efficient\; and guarantee approximate optimality.\n
\nThis is joint work with Evangelia Gergatsouli\, Yifeng Teng\, Christos\n
Tzamos\, and Ruimin Zhang.\n
DTSTART:20210405T151500Z
DTEND:20210405T161500Z
LAST-MODIFIED:20210405T144311Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-481
END:VEVENT
BEGIN:VEVENT
UID:780bda49-6ec1-47b9-93d9-485a4190e9e9
DTSTAMP:20210417T032823Z
CREATED:20201209T231758Z
DESCRIPTION:Topic: The Earth's Dynamo: a Mathematical Model\n\nSpeakers: S
usan Friedlander\n\nAffiliation: University of Southern California\; Membe
r\, School of Mathematics\n\nEarlier this semester we heard a fascinating
talk by James Stone\ndescribing how the equations of compressible magnetoh
ydrodynamics\n(MHD) can help us understand the Cosmos. Today we will retur
n to Earth\nand describe a mathematical model\, derived from the equations
of\nincompressible MHD\, that helps us understand the mechanism by which
\nthe motion of Earth’s fluid core creates and sustains the Earth’s\nmagne
tic field.\n
DTSTART:20210405T180000Z
DTEND:20210405T190000Z
LAST-MODIFIED:20210405T145036Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-1
END:VEVENT
BEGIN:VEVENT
UID:abe0b19e-2681-4d45-87f0-11d30cb2db04
DTSTAMP:20210417T032823Z
CREATED:20210105T212132Z
DESCRIPTION:Topic: Yang-Mills Instantons\, Quivers and Bows\n\nSpeakers: Se
rgey Cherkis\n\nAffiliation: University of Arizona\; Member\, School of Ma
thematics\n\nThe study of hyperkaehler manifolds of lowest dimension (and
of gauge\ntheory on them) leads to a chain of generalizations of the notio
n of a\nquiver: quivers\, bows\, slings\, and monowalls. This talk focuses
on\nbows\, their representations\, and solutions. In particular\, we\nfor
mulate a complete construction of Yang-Mills instantons on\nAsymptotically
Locally Flat (ALF) spaces.\n\nWe begin by generalizing Uhlenbeck's theore
m to the ALF case and\ncomputing the index of the instanton Dirac operator
. We formulate the\nbow construction of instantons and demonstrate that it
is complete.\nThis work is done in collaboration with Andres Larrain-Huba
ch and Mark\nStern.\n\nTime permitting\, we use this bow construction to d
escribe instanton\nmoduli space as a slice of the space of curves in $T\ma
thbb{P}^1$.\nThis leads to an explicit expression for the Kaehler potentia
l on the\ninstanton moduli space.\n
DTSTART:20210405T203000Z
DTEND:20210405T213000Z
LAST-MODIFIED:20210405T145344Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-143
END:VEVENT
BEGIN:VEVENT
UID:6c2f72ed-a9bb-4de7-9276-a35df013ee00
DTSTAMP:20210417T032823Z
CREATED:20201211T184029Z
DESCRIPTION:Topic: How difficult is it to certify that a random 3SAT formul
a is unsatisfiable?\n\nSpeakers: Toniann Pitassi\n\nAffiliation: Member\,
School of Mathematics\n\nThe Satisfiability problem is perhaps the most fa
mous problem in\ntheoretical computer science\, and significant effort has
been devoted\nto understanding randomly generated SAT instances. The rand
om k-SAT\nmodel (where a random k-CNF formula is chosen by uniformly selec
ting m\nclauses from the set of all possible clauses on k distinct variabl
es)\nis important for several reasons. First\, it is an intrinsically\nnat
ural model analogous to random graph models\, and closely related to\nphas
e transitions and structural phenomena occurring in statistical\nphysics.
Thus like random graph models\, understanding the complexity\nof random SA
T sheds light on fundamental structural properties of the\nsatisfiability
problem. Secondly\, the random k-SAT distribution gives\nus a testbench of
empirically hard examples which are useful for\ncomparing and analyzing S
AT algorithms. Third\, the difficulty of\ncertifying the unsatisfiability
of a random k-SAT formula is connected\nto several other central questions
in complexity theory\, including the\ncomplexity of approximately solving
NP-hard problems\, and the\ncomplexity of learning DNF formulas.\n\nWe wi
ll first review the fascinating world of random structured\ndistributions
(k-SAT\, k-CSP and random graph models)\, their threshold\nproperties\, em
pirical and theoretical results and conjectures about\ntheir complexity an
d structural properties. We then focus on the\nfollowing question: how dif
ficult is it to certify that a given random\nk-SAT formula is unsatisfiabl
e (for a given proof system)? The current\nstate of affairs is perplexing.
On the one hand\, Chvatal and Szemeredi\nfamously proved exponential lowe
r bounds for Resolution refutations of\nrandom k-SAT\, and more recently s
imilar exponential lower bounds have\nbeen shown for SOS (Sum-of-Squares)
and Cutting Planes refutations.\nTaken together these lower bounds prove t
hat most state-of-the-art\nalgorithms will require exponential-time on ran
dom k-SAT instances. On\nthe other hand\, current algorithms are unreasona
bly effective at\nsolving random k-SAT instances! We will sketch the lower
bound proofs\nfor Resolution and the recent lower bound for Cutting Plane
s\nrefutations for random formulas\, and discuss the interesting web of\nc
onnections between the sunflower lemma in extremal combinatorics\,\nthresh
old properties of random structures\, proof complexity lower\nbounds\, and
circuit lower bounds. \n
DTSTART:20210406T143000Z
DTEND:20210406T163000Z
LAST-MODIFIED:20210406T123111Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-476
END:VEVENT
BEGIN:VEVENT
UID:6c79a78f-1aa4-453c-b9ad-a244af1213f7
DTSTAMP:20210417T032823Z
CREATED:20210105T221846Z
DESCRIPTION:Topic: Stratified étale homotopy theory and Galois categories\n
\nSpeakers: Zhiyu Zhang\n\nAffiliation: Massachusetts Institute of Technol
ogy\n\n
DTSTART:20210406T173000Z
DTEND:20210406T193000Z
LAST-MODIFIED:20210401T153218Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-22
END:VEVENT
BEGIN:VEVENT
UID:ca189d06-70dc-4d09-ba66-aa10cbce918a
DTSTAMP:20210417T032823Z
CREATED:20210106T222157Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210406T190000Z
DTEND:20210406T210000Z
LAST-MODIFIED:20210402T140357Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:14639a40-5592-4312-aa4f-338d688d1785
DTSTAMP:20210417T032823Z
CREATED:20210105T233304Z
DESCRIPTION:Topic: Approximations of infinite groups\n\nSpeakers: Goulnara
Arzhantseva \n\nAffiliation: Universität Wien\n\nWe discuss various (still
open) questions on approximations of\nfinitely generated groups\, focusin
g on finite-dimensional\napproximations such as residual finiteness and so
ficity. We survey our\nresults on the existence\, stability and quantifica
tion of metric\napproximations. We suggest a few conjectures\, e.g. on Gro
mov\nhyperbolic groups and their infinite monster limits.\n\nBased on join
t works with Liviu Paunescu (Bucharest).\n
DTSTART:20210407T150000Z
DTEND:20210407T161500Z
LAST-MODIFIED:20210407T131255Z
LOCATION:Remote Access
SUMMARY:Stability and Testability
URL:https://www.ias.edu/math/events/stability-and-testability-21
END:VEVENT
BEGIN:VEVENT
UID:b05cd916-e6dc-4534-9eb8-d9f410b6d0a4
DTSTAMP:20210417T032823Z
CREATED:20210106T003136Z
DESCRIPTION:Topic: K-Motives and Koszul Duality in Geometric Representation
Theory\n\nSpeakers: Jens Eberhardt\n\nAffiliation: Max Planck Institute\n
\nPerverse sheaves and intersection cohomology are central objects in\ngeo
metric representation theory. This talk is about their long-lost\nK-theore
tic cousins\, called K-motives. We will discuss definitions and\nbasic pro
perties of K-motives and explore potential applications to\ngeometric repr
esentation theory. For example\, K-motives shed a new\nlight on Beilinson-
Ginzburg-Soergel's Koszul duality — a remarkable\nsymmetry in the represen
tation theory and geometry of two Langlands\ndual reductive groups. We wil
l see that this new form of Koszul\nduality does not involve any gradings
or mixed geometry which are as\nessential as mysterious in the classical a
pproaches.\n
DTSTART:20210407T190000Z
DTEND:20210407T210000Z
LAST-MODIFIED:20210401T195005Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:5ab80754-d07b-4756-9a9e-e75626d3b60c
DTSTAMP:20210417T032823Z
CREATED:20210106T005000Z
DESCRIPTION:Topic: For a given finite group G\, which spaces can be the fix
ed point set of a G-action on a given compact space?\n\nSpeakers: Sylvain
Cappell\n\nAffiliation: New York University\n\nWhich spaces can be the fix
ed point sets of actions of $G$ on finite\ncell-complexes of a given homot
opy type? The general answers to such\nquestions\, for $G$ not a group of
prime-power order\, will be\nexpressed\, even for non-simply-connected spa
ces\, just in terms of\nconditions on Euler characteristics\, These new re
sults generalize\nclassical work of R. Oliver. Time allowing\, we will als
o contrast\nthese results\, including for non-simply connected spaces\, to
quite\ndifferent kinds of results for some restricted kinds of actions\,
e.g.\,\nfor semi-free actions. All these results are joint with Shmuel\nWe
inberger (University of Chicago) and Min Yan (Hong Kong University\nof Sci
ence and Technology)\n
DTSTART:20210407T213000Z
DTEND:20210407T230000Z
LAST-MODIFIED:20210401T142519Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-208
END:VEVENT
BEGIN:VEVENT
UID:53fdd204-411c-46f0-a00e-a8d551d2ba88
DTSTAMP:20210417T032823Z
CREATED:20201210T013221Z
DESCRIPTION:
DTSTART:20210408T140000Z
DTEND:20210408T160000Z
LAST-MODIFIED:20210106T042517Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:0a212592-f68e-4650-a771-48b1aea46d80
DTSTAMP:20210417T032823Z
CREATED:20210107T005109Z
DESCRIPTION:Topic: Representations of quantum groups at roots of 1\n\nSpeak
ers: Jize Yu\n\nAffiliation: Member\, School of Mathematics\n\nWe discuss
modular representations of reductive algebraic groups and\nthen proceed to
representations of quantum groups at roots of unity\n
DTSTART:20210408T200000Z
DTEND:20210408T220000Z
LAST-MODIFIED:20210408T141832Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-9
END:VEVENT
BEGIN:VEVENT
UID:c39b788b-ceee-4a17-b51a-beb846352cc4
DTSTAMP:20210417T032823Z
CREATED:20210106T011232Z
DESCRIPTION:Topic: Low moments of character sums\n\nSpeakers: Adam Harper
\n\nAffiliation: University of Warwick\n\nSums of Dirichlet characters $\s
um_{n \leq x} \chi(n)$ (where $\chi$\nis a character modulo some prime $r$
\, say) are one of the best studied\nobjects in analytic number theory. Th
eir size is the subject of\nnumerous results and conjectures\, such as the
Pólya-Vinogradov\ninequality and the Burgess bound. One way to get inform
ation about\nthis is to study the power moments $\frac{1}{r-1} \sum_{\chi
\\n\text{mod}\ r} |\sum_{n \leq x} \chi(n)|^{2q}$\, which turns out to be
\nquite a subtle question that connects with issues in probability and\nph
ysics. In this talk I will describe an upper bound for these moments\nwhen
$0 \leq q \leq 1$. I will focus mainly on the number theoretic\nissues ar
ising.\n
DTSTART:20210408T203000Z
DTEND:20210408T213000Z
LAST-MODIFIED:20210408T142111Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-446
END:VEVENT
BEGIN:VEVENT
UID:e7ca56b8-0f53-467e-9dda-0d9671c6f811
DTSTAMP:20210417T032823Z
CREATED:20210106T022053Z
DESCRIPTION:Topic: Relative quantum cohomology and other stories\n\nSpeaker
s: Sara Tukachinsky\n\nAffiliation: Member\, School of Mathematics\n\nWe d
efine a quantum product on the cohomology of a symplectic manifold\nrelati
ve to a Lagrangian submanifold\, with coefficients in a Novikov\nring. The
associativity of this product is equivalent to an open\nversion of the WD
VV equations for an appropriate disk superpotential.\nBoth structures — th
e quantum product and the WDVV equations — are\nconsequences of a more gen
eral structure we call the tensor potential\,\nwhich will be the main focu
s of this talk. This is joint work with\nJake Solomon.\n
DTSTART:20210409T131500Z
DTEND:20210409T144500Z
LAST-MODIFIED:20210401T171722Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-66
END:VEVENT
BEGIN:VEVENT
UID:c9d14cda-aadf-41b9-afcc-b5071e405112
DTSTAMP:20210417T032823Z
CREATED:20200110T165817Z
DESCRIPTION:
DTSTART:20210409T220000Z
DTEND:20210409T220000Z
LAST-MODIFIED:20210104T025537Z
LOCATION:
SUMMARY:IAS School of Mathematics Term II Ends
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-ii-ends
END:VEVENT
BEGIN:VEVENT
UID:2bc44afa-f126-47f4-869c-256207199485
DTSTAMP:20210417T032823Z
CREATED:20201211T183141Z
DESCRIPTION:Topic: Privacy as Stability\, for Generalization \n\nSpeakers:
Katrina Legitt\n\nAffiliation: Hebrew University\n\nMany data analysis pip
elines are adaptive: the choice of which\nanalysis to run next depends on
the outcome of previous analyses.\nCommon examples include variable select
ion for regression problems and\nhyper-parameter optimization in large-sca
le machine learning problems:\nin both cases\, common practice involves re
peatedly evaluating a series\nof models on the same dataset. Unfortunately
\, this kind of adaptive\nre-use of data invalidates many traditional meth
ods of avoiding\noverfitting and false discovery\, and has been blamed in
part for the\nrecent flood of non-reproducible findings in the empirical s
ciences.\nAn exciting line of work beginning with Dwork et al. in 2015\nes
tablishes the first formal model and first algorithmic results\nproviding
a general approach to mitigating the harms of adaptivity\,\nvia a connecti
on to the notion of differential privacy.\n\nIn this talk\, we'll explore
the notion of differential privacy and\ngain some understanding of how and
why it provides protection against\nadaptivity-driven overfitting. Many i
nteresting questions in this\nspace remain open.\n\nJoint work with: Chris
topher Jung (UPenn)\, Seth Neel (Harvard)\, Aaron\nRoth (UPenn)\, Saeed Sh
arifi-Malvajerdi (UPenn)\, and Moshe Shenfeld\n(HUJI). This talk will draw
on work that appeared at NeurIPS 2019 and\nITCS 2020.\n
DTSTART:20210412T151500Z
DTEND:20210412T161500Z
LAST-MODIFIED:20210412T115352Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-482
END:VEVENT
BEGIN:VEVENT
UID:174fe879-b2b5-42dc-ad46-efade07c5c95
DTSTAMP:20210417T032823Z
CREATED:20210401T215530Z
DESCRIPTION:Topic: Character bounds for finite simple groups\n\nSpeakers: P
ham Tiep\n\nAffiliation: Rutgers University\; Member\, School of Mathemati
cs\n\nGiven the current knowledge of complex representations of finite\nsi
mple groups\, obtaining good upper bounds for their characters values\nis
still a difficult problem\, a satisfactory solution of which would\nhave s
ignificant implications in a number of applications. We first\ndiscuss som
e such applications. Then we will report on recent results\nthat produce s
uch character bounds.\n
DTSTART:20210412T180000Z
DTEND:20210412T190000Z
LAST-MODIFIED:20210412T115658Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-2
END:VEVENT
BEGIN:VEVENT
UID:40f36507-c696-4d4d-8ae9-001f7542a323
DTSTAMP:20210417T032823Z
CREATED:20210308T160636Z
DESCRIPTION:Topic: Long time dynamics of 2d Euler and nonlinear inviscid da
mping\n\nSpeakers: Hao Jia\n\nAffiliation: University of Minnesota\n\nIn t
his talk\, we will discuss some joint work with Alexandru Ionescu\non the
nonlinear inviscid damping near point vortex and monotone shear\nflows in
a finite channel. We will put these results in the context of\nlong time b
ehavior of 2d Euler equations and indicate further\nimportant open problem
s in the field.\n
DTSTART:20210412T203000Z
DTEND:20210412T213000Z
LAST-MODIFIED:20210412T120004Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-144
END:VEVENT
BEGIN:VEVENT
UID:51d29b03-7739-4e26-82a8-c3c96880c90d
DTSTAMP:20210417T032823Z
CREATED:20210318T201528Z
DESCRIPTION:Topic: Pyknotic/condensed mathematics and ℓ-adic exodromy theor
em\n\nSpeakers: Linus Hamann\n\nAffiliation: Princeton University\n\n
DTSTART:20210413T173000Z
DTEND:20210413T193000Z
LAST-MODIFIED:20210409T190653Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Working Group on Stratified Homotopy Theory
URL:https://www.ias.edu/math/events/working-group-stratified-homotopy-theor
y-23
END:VEVENT
BEGIN:VEVENT
UID:8811571a-b0fd-4e31-b652-70dd63ac8f45
DTSTAMP:20210417T032823Z
CREATED:20210407T142715Z
DESCRIPTION:Topic: Meldings and the codimension-three conjecture\n\nSpeaker
s: Kari Vilonen\n\nAffiliation: University of Melbourne\n\nI will start by
recalling the notion of microlocal perverse sheaves\nand then briefly exp
lain meldings. The rest of the talk is devoted to\nexplaining the ideas in
volved in the proof of the codimension-three\nconjecture.\n
DTSTART:20210413T220000Z
DTEND:20210414T000000Z
LAST-MODIFIED:20210409T172610Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:1f65a3fe-a706-4cd1-a9d0-b93d7b903554
DTSTAMP:20210417T032823Z
CREATED:20210409T001906Z
DESCRIPTION:Topic: Microlocal sheaves on certain affine Springer fibers\n\n
Speakers: Zhiwei Yun\n\nAffiliation: Massachusetts Institute of Technology
\n\nFor homogeneous affine Springer fibers (those with $G_m$ symmetry)\, w
e\nrealize them as Lagrangian cycles inside ambient symplectic varieties\,
\nand make sense of microlocal sheaves supported on these affine\nSpringer
fibers. We also propose a conjectural equivalence between the\nmicrolocal
sheaf category and a coherent sheaf category in terms of\nSpringer fibers
for the Langlands dual group\, and are able to prove\nthe conjecture in s
ome cases. This is joint work with Roman\nBezrukavnikov\, Pablo Boixeda Al
varez and Michael McBreen.\n
DTSTART:20210414T190000Z
DTEND:20210414T210000Z
LAST-MODIFIED:20210409T002155Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-26
END:VEVENT
BEGIN:VEVENT
UID:0bf7a87f-93ee-41e4-ada1-617f09aace16
DTSTAMP:20210417T032823Z
CREATED:20210329T181849Z
DESCRIPTION:Topic: Embedding Symplectic Ellipsoids and Diophantine equation
s\n\nSpeakers: Dusa McDuff\n\nAffiliation: Barnard College\, Columbia Univ
ersity\n\nThis talk will explain work stemming from a group project that\n
investigated the ellipsoidal embedding capacity function for the\nfamily o
f Hirzebruch surfaces. This problem turns out to have\nunexpected arithmet
ic structure\, leading to an intricate fractal\npattern of interweaving st
aircases. To my knowledge\, it is the first\nexample of this kind. The tal
k will be descriptive and elementary.\n
DTSTART:20210414T213000Z
DTEND:20210414T230000Z
LAST-MODIFIED:20210409T210403Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-209
END:VEVENT
BEGIN:VEVENT
UID:cfd5d387-7594-4afa-a229-fb3350009eed
DTSTAMP:20210417T032823Z
CREATED:20210409T210811Z
DESCRIPTION:
DTSTART:20210415T140000Z
DTEND:20210415T160000Z
LAST-MODIFIED:20210409T210840Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:7207bd6b-1af6-4cc1-800d-8879a63a5809
DTSTAMP:20210417T032823Z
CREATED:20210409T172704Z
DESCRIPTION:Topic: Representations of quantum groups at roots of 1\n\nSpeak
ers: Jize Yu\n\nAffiliation: Member\, School of Mathematics\n\nContinuatio
n from last time.\n
DTSTART:20210415T200000Z
DTEND:20210415T220000Z
LAST-MODIFIED:20210415T215802Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:12207488-14f7-48a8-89d4-128a8e70c3a7
DTSTAMP:20210417T032823Z
CREATED:20210405T181837Z
DESCRIPTION:Topic: Beilinson-Bloch conjecture for unitary Shimura varieties
\n\nSpeakers: Chao Li\n\nFor certain automorphic representations $\pi$ on
unitary groups\, we\nshow that if $L(s\, \pi)$ vanishes to order one at th
e center $s=1/2$\,\nthen the associated $\pi$-localized Chow group of a un
itary Shimura\nvariety is nontrivial. This proves part of the Beilinson-Bl
och\nconjecture for unitary Shimura varieties\, which generalizes the BSD
\nconjecture. Assuming Kudla's modularity conjecture\, we further prove\nt
he arithmetic inner product formula for $L'(1/2\, \pi)$\, which\ngeneraliz
es the Gross-Zagier formula. We will motivate these\nconjectures and discu
ss some aspects of the proof. We will also\nmention recent extensions appl
icable to symmetric power L-functions of\nelliptic curves. This is joint w
ork with Yifeng Liu.\n
DTSTART:20210415T203000Z
DTEND:20210415T213000Z
LAST-MODIFIED:20210415T225319Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-447
END:VEVENT
BEGIN:VEVENT
UID:c044e808-d651-4cd7-b11f-64ac920b53aa
DTSTAMP:20210417T032823Z
CREATED:20210405T143559Z
DESCRIPTION:Topic: Three 20 minute research talks\n\nSpeakers: Maxim Jeffs\
, Côme Dattin\, Bingyu Zhang\n\nAffiliation: Harvard University\; Universi
ty of Nante\; Université Grenoble Alpes\n\nMAXIM JEFFS (HARVARD)\, Mirror
symmetry and Fukaya categories of\nsingular varieties\n\nIn this talk I wi
ll explain Auroux' definition of the Fukaya category\nof a singular hypers
urface and two results about this definition\,\nillustrated with some exam
ples. The first result is that Auroux'\ncategory is equivalent to the Fuka
ya-Seidel category of a\nLandau-Ginzburg model on a smooth variety\; the s
econd result is a\nhomological mirror symmetry equivalence at certain larg
e complex\nstructure limits. I will also discuss ongoing work on generaliz
ations.\n\nCÔME DATTIN (NANTES)\, Wrapped sutured Legendrian homology and
the\nconormal of braids\n\nIn this talk we will discuss invariants of sutu
red Legendrians. A\nsutured contact manifold can be seen as either general
izing the\ncontactisation of a Liouville domain\, or as a presentation of
a\ncontact manifold with convex boundary. Using the first point of view\,
\nwe define the wrapped sutured homology of Legendrians with boundary\,\ne
mploying ideas coming from Floer theory. To illustrate the second\naspect\
, we apply the unit conormal construction to braids with two\nstrands\, wh
ich yields a sutured Legendrian. We will show that\, if the\nconormals of
two 2-braids are Legendrian isotopic\, then the braids are\nequivalent.\n
\nBINGYU ZHANG (INSTITUT FOURIER\, UNIVERSITÉ GRENOBLE ALPES)\,\nCapacitie
s from the Chiu-Tamarkin complex\n\nIn this talk\, we will discuss the Chi
u-Tamarkin complex. It is a\nsymplectic/contact invariant that comes from
the microlocal sheaf\ntheory. I will explain how to define some capacities
using the\nChiu-Tamarkin complex in both symplectic and contact situation
s. The\nmain result is the structure theorem of the Chiu-Tamarkin complex
of\nconvex toric domains. Consequently\, we can compute the capacities of
\nconvex toric domains.\n
DTSTART:20210416T131500Z
DTEND:20210416T144500Z
LAST-MODIFIED:20210405T151601Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-67
END:VEVENT
BEGIN:VEVENT
UID:7d627beb-2a7d-43a7-ace8-fae7975ed118
DTSTAMP:20210417T032823Z
CREATED:20210226T013348Z
DESCRIPTION:Topic: From geometry to topology: inverse theorems for distribu
ted persistence\n\nSpeakers: Paul Bendich\n\nAffiliation: Duke University
\n\nWhat is the 'right' topological invariant of a large point cloud $X$?
\nPrior research has focused on estimating the full persistence diagram\no
f $X$\, a quantity that is very expensive to compute\, unstable to\noutlie
rs\, and far from a sufficient statistic. We therefore propose\nthat the c
orrect invariant is not the persistence diagram of $X$\, but\nrather the c
ollection of persistence diagrams of many small subsets.\nThis invariant\,
which we call 'distributed persistence\,' is trivially\nparallelizable\,
more stable to outliers\, and has a rich inverse\ntheory. The map from the
space of point clouds (with the\nquasi-isometry metric) to the space of d
istributed persistence\ninvariants (with the Hausdorff-Bottleneck distance
) is a global\nquasi-isometry. This is a much stronger property than simpl
y being\ninjective\, as it implies that the inverse of a small neighborhoo
d is a\nsmall neighborhood\, and is to our knowledge the only result of it
s\nkind in the TDA literature. Moreover\, the quasi-isometry bounds depend
\non the size of the subsets taken\, so that as the size of these subsets
\ngoes from small to large\, the invariant interpolates between a purely\n
geometric one and a topological one. Finally\, we note that our inverse\nr
esults do not actually require considering all subsets of a fixed\nsize (a
n enormous collection)\, but a relatively small collection\nsatisfying cer
tain covering properties that arise with high\nprobability when randomly s
ampling subsets. These theoretical results\nare complemented by two synthe
tic experiments demonstrating the use of\ndistributed persistence in pract
ice. This is joint work with Elchanan\nSolomon and Alexander Wagner.\n
DTSTART:20210416T190000Z
DTEND:20210416T200000Z
LAST-MODIFIED:20210416T211108Z
LOCATION:Remote Access
SUMMARY:Workshop on Topology: Identifying Order in Complex Systems
URL:https://www.ias.edu/math/events/workshop-topology-identifying-order-com
plex-systems-134
END:VEVENT
BEGIN:VEVENT
UID:a22e1f65-5eed-44e5-bdea-e2b4f5412b22
DTSTAMP:20210417T032823Z
CREATED:20210408T163627Z
DESCRIPTION:Topic: No seminar: Morse Lecture\n\n
DTSTART:20210419T180000Z
DTEND:20210419T190000Z
LAST-MODIFIED:20210408T163808Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-3
END:VEVENT
BEGIN:VEVENT
UID:4fe1550f-fc2f-4eee-ac4c-b73f5bd70cf0
DTSTAMP:20210417T032823Z
CREATED:20201123T163627Z
DESCRIPTION:Topic: Statistical physics of random CSPs\n\nSpeakers: Nike Sun
\n\nAffiliation: Massachusetts Institute of Technology\n\nI will describe
recent progress in determination of asymptotic\nbehavior in random constra
int satisfaction problems\, including the\nindependent set problem on rand
om graphs\, random regular NAE-SAT\, and\nrandom SAT. The results include
sharp phase transitions and some\nunderstanding of solution geometry\, par
ticularly in the setting of the\nrandom regular NAE-SAT problem. In this l
ecture I will survey the\nphysics heuristics\, and explain how they lead t
o combinatorial models\nfor the solution geometry\, which form a basis of
mathematical\napproaches to these problems.\n\nThis lecture is based in pa
rt on joint works with Zsolt Bartha\, Jian\nDing\, Allan Sly\, and Yumeng
Zhang.\n\n \n
DTSTART:20210419T190000Z
DTEND:20210419T200000Z
LAST-MODIFIED:20210401T131642Z
LOCATION:Remote Access via Zoom videoconferencing (link below)
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures
END:VEVENT
BEGIN:VEVENT
UID:d805add0-24a5-42b2-ab61-72cbb724f657
DTSTAMP:20210417T032823Z
CREATED:20210323T165102Z
DESCRIPTION:Topic: From hyperbolic billiards to statistical physics\n\nSpea
kers: Peter Nandori\n\nAffiliation: Yeshiva University\; Member\, School o
f Mathematics\n\nConsider a point particle flying freely on the torus and
elastically\nbouncing back from the boundary of fixed smooth convex obstac
les. This\nis the celebrated Sinai billiard\, a rare example of a determin
istic\ndynamical system where rigorous results relevant for statistical\np
hysics are available. In this talk\, we will briefly review the\nclassical
theory (ergodicity\, mixing\, central limit theorem by Sinai\,\nBunimovic
h\, Chernov\, etc.). Then we will discuss some more recent\nresults\, such
as the mixing local limit theorem and nonequilibrium\ndensity profiles in
large domains (based on joint work with D.\nDolgopyat and T. Teolis). Fin
ally\, we will mention some attempts at\nstudying rarely interacting parti
cles.\n
DTSTART:20210419T203000Z
DTEND:20210419T213000Z
LAST-MODIFIED:20210416T225708Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-145
END:VEVENT
BEGIN:VEVENT
UID:33e3b59b-525d-4c74-babe-047ca250b806
DTSTAMP:20210417T032823Z
CREATED:20210311T133758Z
DESCRIPTION:Topic: On Chen’s recent breakthrough on the Kannan-Lovasz-Simon
ovits conjecture and Bourgain's slicing problem\n\nSpeakers: Ronen Eldan\n
\nAffiliation: Weizmann Institute of Science\n\nIn the mid 80's\, Bourgain
asked the following question: Is there a\nuniversal constant $c>0$ such t
hat every compact convex set $K$ in\n$R^n$\, of unit volume\, must contain
a slice (namely\, a set of the form\n$K \cap H$ for some affine hyperplan
e $H$) whose surface area is at\nleast $c$? \n\nDue to its numerous impli
cations and simple-to-state formulation\, this\nquestion has become one of
the central conjectures of convex geometry.\nTen years later\, Kannan-Lov
asz and Simonovits proposed a related\nquestion\, considering the followin
g isoperimetric problem on\nhigh-dimensional convex bodies: Given a convex
body $K$\, consider the\noptimal way to partition it into two pieces of e
qual volume so as to\nminimize their interface. Is it true that up to a un
iversal constant\,\nthe minimal partition is attained via a hyperplane cut
? This question\nhas a direct implication on the complexity of many comput
ational\nproblems on convex sets and\, moreover\, it was shown to imply\nB
ourgain's slicing conjecture. \n\nVery recently\, Yuansi Chen obtained a s
triking breakthrough\, nearly\nsolving these two problems. In these two ta
lks we aim to give an\noverview on the subject and\, hopefully\, a self co
ntained proof of\nChen's results. On the way towards the result\, we will
become familiar\nwith the concept of 'localization' (a very useful tool to
prove\nconcentration inequalities) and its extension\, stochastic\nlocali
zation\, the main technique used in the proof.\n\n This work is also surve
yed in the recent quanta article:\nhttps://www.quantamagazine.org/statisti
cs-postdoc-tames-decades-old-geometry-problem-20210301/\n
DTSTART:20210420T143000Z
DTEND:20210420T163000Z
LAST-MODIFIED:20210408T200636Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-477
END:VEVENT
BEGIN:VEVENT
UID:f070f556-16c3-41b9-af52-8c05703154ed
DTSTAMP:20210417T032823Z
CREATED:20210409T173256Z
DESCRIPTION:Topic: Perverse sheaves on Grassmannians via microlocal geometr
y\n\nSpeakers: Tom Braden\n\nAffiliation: University of Massachusetts\, Am
herst\; Member\, School of Mathematics\n\nI will present a finite-dimensio
nal quiver algebra whose\nrepresentations are equivalent to the category o
f\nSchubert-constructible perverse sheaves on the Grassmannian $Gr(k\,n)$.
\nThe functor inducing the equivalence is constructed by analyzing the\nlo
cal geometry of the conormal variety $\Lambda$ to the\nstratification\, an
d gluing the associated categories of microlocal\nperverse sheaves. I will
emphasize the special features of $\Lambda$\nwhich make the Grassmannian
much more tractable than other flag\nvarieties. If time permits\, I will t
alk about a graded version of the\nquiver algebra due to Khovanov and Stro
ppel.\n
DTSTART:20210420T220000Z
DTEND:20210421T000000Z
LAST-MODIFIED:20210415T181228Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:515acd65-1c31-457b-bcc4-1046d0edea77
DTSTAMP:20210417T032823Z
CREATED:20210416T213024Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210421T190000Z
DTEND:20210421T210000Z
LAST-MODIFIED:20210416T213110Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-27
END:VEVENT
BEGIN:VEVENT
UID:685daac7-d5ef-4f0c-8314-f3593963d965
DTSTAMP:20210417T032823Z
CREATED:20210302T194233Z
DESCRIPTION:Topic: Probabilistic analysis of random CSPs\n\nSpeakers: Nike
Sun\n\nAffiliation: Massachusetts Institute of Technology\n\n(This lecture
is related to the preceding lecture\, but I will try to\nmake it self-con
tained as much as possible.) In this lecture I will\nelaborate on some of
the existing mathematical approaches to the study\nof random CSPs\, partic
ularly involving the (first and second) moment\nmethod. We will see that i
mplementing the moment method often reduces\nto the solution of difficult
(non-convex) optimization problems. I\nwill discuss one basic strategy tha
t has been used to solve some of\nthese problems\, which is to (1) use a p
riori estimates to localize the\noptimization to a small neighborhood\, an
d (2) use the contractivity of\ntree recursions and a 'local update' proce
dure to solve the\noptimization within the small neighborhood.\n\nThis lec
ture is based in part on joint works with Zsolt Bartha\, Jian\nDing\, Alla
n Sly\, and Yumeng Zhang.\n \n
DTSTART:20210421T190000Z
DTEND:20210421T200000Z
LAST-MODIFIED:20210401T131800Z
LOCATION:Remote Access via Zoom videoconferencing (link below)
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-98
END:VEVENT
BEGIN:VEVENT
UID:565bba13-35a3-49df-bf24-95f3a97ea060
DTSTAMP:20210417T032823Z
CREATED:20210329T182455Z
DESCRIPTION:Topic: Floer's Jungle: 35 years of Floer Theory\n\nSpeakers: Si
obhan Roberts\, Helmut Hofer\n\nAffiliation: Independent Scholar\; Hermann
Weyl Professor\, School of Mathematics\n\n
DTSTART:20210421T213000Z
DTEND:20210421T230000Z
LAST-MODIFIED:20210405T212523Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-210
END:VEVENT
BEGIN:VEVENT
UID:af3d6a2d-b62d-4693-91cd-1a5cc746fbc7
DTSTAMP:20210417T032823Z
CREATED:20210415T182559Z
DESCRIPTION:
DTSTART:20210422T140000Z
DTEND:20210422T160000Z
LAST-MODIFIED:20210415T182608Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-26
END:VEVENT
BEGIN:VEVENT
UID:6c2cbec4-a9d5-4c2a-b027-0abc8ed21326
DTSTAMP:20210417T032823Z
CREATED:20210409T173133Z
DESCRIPTION:Topic: Kazhdan-Lusztig category\n\nSpeakers: Jin-Cheng Guu\n\nA
ffiliation: Stony Brook University\n\nThe talk introduces the Kazhdan-Lusz
tig categories of representations\nof affine Lie algebras\n
DTSTART:20210422T200000Z
DTEND:20210422T220000Z
LAST-MODIFIED:20210416T143203Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:8fbfaf3f-2aca-460f-ab51-02bb50eaab86
DTSTAMP:20210417T032823Z
CREATED:20210405T182637Z
DESCRIPTION:Topic: Kolyvagin's conjecture and higher congruences of modular
forms\n\nSpeakers: Naomi Sweeting\n\nAffiliation: Harvard University\n\nG
iven an elliptic curve $E$\, Kolyvagin used CM points on modular\ncurves t
o construct a system of classes valued in the Galois\ncohomology of the to
rsion points of $E$. Under the conjecture that not\nall of these classes v
anish\, he gave a description for the Selmer\ngroup of $E$. This talk will
report on recent work proving new cases\nof Kolyvagin's conjecture. The p
roof builds on work of Wei Zhang\, who\nused congruences between modular f
orms to prove Kolyvagin's conjecture\nunder some technical hypotheses. We
remove many of these hypotheses by\nconsidering congruences modulo higher
powers of $p$. The talk will\nexplain the difficulties associated with hig
her congruences of modular\nforms and how they can be overcome.\n
DTSTART:20210422T203000Z
DTEND:20210422T213000Z
LAST-MODIFIED:20210415T141933Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-448
END:VEVENT
BEGIN:VEVENT
UID:9d4e991b-8c2a-4449-a051-aaee48d2b61c
DTSTAMP:20210417T032823Z
CREATED:20210405T150359Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210423T131500Z
DTEND:20210423T144500Z
LAST-MODIFIED:20210405T170417Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-68
END:VEVENT
BEGIN:VEVENT
UID:943f7277-e571-4509-a47b-6f6147b27253
DTSTAMP:20210417T032823Z
CREATED:20210302T194306Z
DESCRIPTION:Topic: On the Ising perceptron model\n\nSpeakers: Nike Sun\n\nA
ffiliation: Massachusetts Institute of Technology\n\n(This lecture will be
self-contained.) In high dimensions\, what does\nit look like when we tak
e the intersection of a set of random\nhalf-spaces with either the sphere
or the Hamming cube? This is one\nphrasing of the so-called perceptron pro
blem\, whose study originated\nwith a toy model of a very simple neural ne
twork. A non-rigorous\nsolution was given in the 1980s (Gardner\, Derrida\
, Krauth\, Mézard)\nusing methods of statistical physics. Shcherbina and T
irozzi gave a\nrigorous solution to the positive spherical perceptron\, ma
king crucial\nuse of the convexity of this problem. The other cases of the
model are\nnon-convex and remain open problems. I will survey the physics
\nsolution and describe some results for the perceptron on the Hamming\ncu
be.\n\nThis lecture is based on joint work with Jian Ding.\n
DTSTART:20210423T190000Z
DTEND:20210423T200000Z
LAST-MODIFIED:20210401T132217Z
LOCATION:Remote Access via Zoom videoconferencing (link below)
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-99
END:VEVENT
BEGIN:VEVENT
UID:dc846185-8b11-405c-810b-6cf6b5cf6551
DTSTAMP:20210417T032823Z
CREATED:20210408T163819Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Shafi Goldwasser\n\nAffilia
tion: Massachusetts Institute of Technology\; Visiting Professor\, School
of Mathematics\n\n
DTSTART:20210426T180000Z
DTEND:20210426T190000Z
LAST-MODIFIED:20210408T163952Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-4
END:VEVENT
BEGIN:VEVENT
UID:f5279ea4-08cd-47b3-8dd8-167ab6d974b6
DTSTAMP:20210417T032823Z
CREATED:20210323T170016Z
DESCRIPTION:Topic: Mean curvature flow in high co-dimension\n\nSpeakers: Wi
lliam Minicozzi\n\nAffiliation: Massachusetts Institute of Technology\n\nM
ean curvature flow (MCF) is a geometric heat equation where a\nsubmanifold
evolves to minimize its area. A central problem is to\nunderstand the sin
gularities that form and what these imply for the\nflow. I will talk about
joint work with Toby Colding on higher\nco-dimension MCF\, where the flow
becomes a complicated system of\nequations and much less is known.\n
DTSTART:20210426T203000Z
DTEND:20210426T213000Z
LAST-MODIFIED:20210405T144139Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-146
END:VEVENT
BEGIN:VEVENT
UID:f8db2649-de84-427f-8469-5f6a1e75659c
DTSTAMP:20210417T032823Z
CREATED:20210311T134037Z
DESCRIPTION:Topic: On Chen’s recent breakthrough on the Kannan-Lovasz-Simon
ovits conjecture and Bourgain's slicing problem - Part II\n\nSpeakers: Ron
en Eldan\n\nAffiliation: Weizmann Institute of Science\n\nIn the mid 80's\
, Bourgain asked the following question: Is there a\nuniversal constant $c
>0$ such that every compact convex set $K$ in\n$R^n$\, of unit volume\, mu
st contain a slice (namely\, a set of the form\n$K \cap H$ for some affine
hyperplane $H$) whose surface area is at\nleast $c$? \n\nDue to its nume
rous implications and simple-to-state formulation\, this\nquestion has bec
ome one of the central conjectures of convex geometry.\nTen years later\,
Kannan-Lovasz and Simonovits proposed a related\nquestion\, considering th
e following isoperimetric problem on\nhigh-dimensional convex bodies: Give
n a convex body $K$\, consider the\noptimal way to partition it into two p
ieces of equal volume so as to\nminimize their interface. Is it true that
up to a universal constant\,\nthe minimal partition is attained via a hype
rplane cut? This question\nhas a direct implication on the complexity of m
any computational\nproblems on convex sets and\, moreover\, it was shown t
o imply\nBourgain's slicing conjecture. \n\nVery recently\, Yuansi Chen ob
tained a striking breakthrough\, nearly\nsolving these two problems. In th
ese two talks we aim to give an\noverview on the subject and\, hopefully\,
a self contained proof of\nChen's results. On the way towards the result\
, we will become familiar\nwith the concept of 'localization' (a very usef
ul tool to prove\nconcentration inequalities) and its extension\, stochast
ic\nlocalization\, the main technique used in the proof.\n\n This work is
also surveyed in the recent quanta article:\nhttps://www.quantamagazine.or
g/statistics-postdoc-tames-decades-old-geometry-problem-20210301/\n
DTSTART:20210427T143000Z
DTEND:20210427T163000Z
LAST-MODIFIED:20210408T200558Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-478
END:VEVENT
BEGIN:VEVENT
UID:537f67ab-1e1b-432c-a910-2d96f7a6042c
DTSTAMP:20210417T032823Z
CREATED:20210409T173933Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210427T220000Z
DTEND:20210428T000000Z
LAST-MODIFIED:20210409T173940Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:a79008a3-6df7-402b-b42c-186fd49b0829
DTSTAMP:20210417T032823Z
CREATED:20210416T213128Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210428T190000Z
DTEND:20210428T210000Z
LAST-MODIFIED:20210416T213152Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-28
END:VEVENT
BEGIN:VEVENT
UID:03311a14-5f86-41e6-9de9-84663b8b4cb1
DTSTAMP:20210417T032823Z
CREATED:20210329T182511Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Avi Wigderson\n\nAffiliatio
n: Herbert H. Maass Professor\, School of Mathematics\n\n
DTSTART:20210428T213000Z
DTEND:20210428T230000Z
LAST-MODIFIED:20210329T183410Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-211
END:VEVENT
BEGIN:VEVENT
UID:823abfa8-8b81-40ec-8629-b6531b079a62
DTSTAMP:20210417T032823Z
CREATED:20210415T182615Z
DESCRIPTION:
DTSTART:20210429T140000Z
DTEND:20210429T160000Z
LAST-MODIFIED:20210415T182623Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-27
END:VEVENT
BEGIN:VEVENT
UID:ba561e01-81ee-4206-a839-1d1de14e0495
DTSTAMP:20210417T032823Z
CREATED:20210409T174743Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210429T200000Z
DTEND:20210429T220000Z
LAST-MODIFIED:20210409T174749Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-12
END:VEVENT
BEGIN:VEVENT
UID:db320b86-c4d6-4830-965a-c725a3d99942
DTSTAMP:20210417T032823Z
CREATED:20210405T182651Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Yves André\n\nAffiliation:
Institut de Mathématiques de Jussieu-Paris Rive Gauche\n\n
DTSTART:20210429T203000Z
DTEND:20210429T213000Z
LAST-MODIFIED:20210405T191406Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-449
END:VEVENT
BEGIN:VEVENT
UID:a1eb055d-7ee0-49fb-890e-ff72c6d99c1f
DTSTAMP:20210417T032823Z
CREATED:20210405T150414Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210430T131500Z
DTEND:20210430T144500Z
LAST-MODIFIED:20210405T170324Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-69
END:VEVENT
BEGIN:VEVENT
UID:f4a7eb5a-5f92-48f6-a155-b609f492ffa5
DTSTAMP:20210417T032823Z
CREATED:20210226T013428Z
DESCRIPTION:Topic: Twisted topological tangles or: the knot theory of knitt
ing\n\nSpeakers: Elisabetta Matsumoto\n\nAffiliation: Georgia Institute of
Technology\n\nThe Picard group of the stable module category of a finite
group plays\na role in many parts of modular representation theory. It was
\ncalculated when the group is an abelian $p$-group\, by pioneering work\n
of Dade in the 1970's\, and a classification for all $p$-groups was\nobtai
ned by Carlson-Thevenaz in the early 2000's in a series of works.\nIn my t
alk I'll explain how to use methods from homotopy theory and\nhigher algeb
ra to describe this Picard group for an arbitrary finite\ngroup $G$. Part
of this talk is joint work with Tobias Barthel and\nJoshua Hunt.\n
DTSTART:20210430T180000Z
DTEND:20210430T190000Z
LAST-MODIFIED:20210226T013629Z
LOCATION:Remote Access
SUMMARY:Workshop on Topology: Identifying Order in Complex Systems
URL:https://www.ias.edu/math/events/workshop-topology-identifying-order-com
plex-systems-135
END:VEVENT
BEGIN:VEVENT
UID:f2528742-aa8c-43b2-804e-9dbd0c215785
DTSTAMP:20210417T032823Z
CREATED:20210323T170031Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210503T203000Z
DTEND:20210503T213000Z
LAST-MODIFIED:20210323T170039Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-147
END:VEVENT
BEGIN:VEVENT
UID:98bb70c6-cfba-407c-914d-079f82f12e9a
DTSTAMP:20210417T032823Z
CREATED:20210409T173947Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210504T220000Z
DTEND:20210505T000000Z
LAST-MODIFIED:20210409T173955Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:63b2f82a-9a75-493c-a488-afb5b7e375b7
DTSTAMP:20210417T032823Z
CREATED:20210416T213210Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Simon Riche\n\nAffiliation:
Université Clermont Auvergne\; Member\, School of Mathematics\n\n
DTSTART:20210505T110000Z
DTEND:20210505T130000Z
LAST-MODIFIED:20210416T213624Z
LOCATION:Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-29
END:VEVENT
BEGIN:VEVENT
UID:22bc6eaf-69d1-47a8-bf87-c79bea8bf7cc
DTSTAMP:20210417T032823Z
CREATED:20210329T182525Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210505T213000Z
DTEND:20210505T230000Z
LAST-MODIFIED:20210329T182532Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-212
END:VEVENT
BEGIN:VEVENT
UID:eebfb440-5b93-49c6-b3d9-849fb3d65dac
DTSTAMP:20210417T032823Z
CREATED:20210415T182630Z
DESCRIPTION:
DTSTART:20210506T140000Z
DTEND:20210506T160000Z
LAST-MODIFIED:20210415T182638Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-28
END:VEVENT
BEGIN:VEVENT
UID:12bdb2e9-977a-40c5-80ba-96282b7d4382
DTSTAMP:20210417T032823Z
CREATED:20210409T174756Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210506T200000Z
DTEND:20210506T220000Z
LAST-MODIFIED:20210409T174803Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:3971dd0e-7c3d-4576-8d53-9f8d445b55d5
DTSTAMP:20210417T032823Z
CREATED:20210405T182706Z
DESCRIPTION:Topic: Groups with bounded generation: old and new\n\nSpeakers:
Andrei S. Rapinchuk\n\nA group is said to have bounded generation (BG) if
it is a finite\nproduct of cyclic subgroups. We will survey the known exa
mples of\ngroups with (BG) and their properties. We will then report on a
recent\nresult (joint with P. Corvaja\, J. Ren and U. Zannier) that\nnon-v
irtually abelian anisotropic linear groups (i. e. those\nconsisting entire
ly of semi-simple elements) are not boundedly\ngenerated. The proofs rely
on number-theoretic techniques.
DTSTART:20210506T203000Z
DTEND:20210506T213000Z
LAST-MODIFIED:20210405T191426Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-450
END:VEVENT
BEGIN:VEVENT
UID:970f6676-cfee-49fa-81b7-421a1f6fdb65
DTSTAMP:20210417T032823Z
CREATED:20210405T150428Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Laura Starkston\n\nAffiliat
ion: University of California\, Davis\n\n
DTSTART:20210507T131500Z
DTEND:20210507T144500Z
LAST-MODIFIED:20210405T154630Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-70
END:VEVENT
BEGIN:VEVENT
UID:8b57045d-af31-40c5-bb7b-0c92455528df
DTSTAMP:20210417T032823Z
CREATED:20210323T170046Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210510T203000Z
DTEND:20210510T213000Z
LAST-MODIFIED:20210323T170054Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-148
END:VEVENT
BEGIN:VEVENT
UID:bc49ed53-5653-4188-a885-0f501aea3024
DTSTAMP:20210417T032823Z
CREATED:20210409T174001Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210511T220000Z
DTEND:20210512T000000Z
LAST-MODIFIED:20210409T174008Z
LOCATION:Remote Access
SUMMARY:SL2 Seminar
URL:https://www.ias.edu/math/events/sl2-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:30b42071-fdce-4c14-b9cd-5ee7cad8bf68
DTSTAMP:20210417T032823Z
CREATED:20210416T213644Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Pavel Etingof\n\nAffiliatio
n: Massachusetts Institute of Technology\n\n
DTSTART:20210512T190000Z
DTEND:20210512T210000Z
LAST-MODIFIED:20210416T213918Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Geometric and Modular Representation Theory Seminar
URL:https://www.ias.edu/math/events/geometric-and-modular-representation-th
eory-seminar-30
END:VEVENT
BEGIN:VEVENT
UID:88041f2f-ac8a-4566-be50-d51e4b0c9bfd
DTSTAMP:20210417T032823Z
CREATED:20210329T182539Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Bryna Kra\n\nAffiliation: N
orthwestern University\n\n
DTSTART:20210512T213000Z
DTEND:20210512T230000Z
LAST-MODIFIED:20210329T183654Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-213
END:VEVENT
BEGIN:VEVENT
UID:02d72c9e-7435-4762-a94a-ba8ed4eed002
DTSTAMP:20210417T032823Z
CREATED:20210415T182646Z
DESCRIPTION:
DTSTART:20210513T140000Z
DTEND:20210513T160000Z
LAST-MODIFIED:20210415T182653Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-29
END:VEVENT
BEGIN:VEVENT
UID:ed3b3746-651d-4344-9e56-736c7842e1d4
DTSTAMP:20210417T032823Z
CREATED:20210409T174810Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210513T200000Z
DTEND:20210513T220000Z
LAST-MODIFIED:20210409T174817Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:996911b5-68c2-4c72-ba56-0068e3256fc6
DTSTAMP:20210417T032823Z
CREATED:20210405T182720Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Maksym Radziwill\n\n
DTSTART:20210513T203000Z
DTEND:20210513T213000Z
LAST-MODIFIED:20210405T191448Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-451
END:VEVENT
BEGIN:VEVENT
UID:845cec76-7dd3-4816-be0b-f7d9f55d3b39
DTSTAMP:20210417T032823Z
CREATED:20210405T150442Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Daniel Alvarez-Gavela\n\n
DTSTART:20210514T131500Z
DTEND:20210514T144500Z
LAST-MODIFIED:20210405T154649Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-71
END:VEVENT
BEGIN:VEVENT
UID:87f346e4-09d1-4772-ac06-f3f800e105fd
DTSTAMP:20210417T032823Z
CREATED:20210323T170100Z
DESCRIPTION:Topic: From hyperbolic billiards to statistical physics\n\nSpea
kers: Yaiza Canzani\n\nAffiliation: University of North Carolina\n\nConsid
er a point particle flying freely on the torus and elastically\nbouncing b
ack from the boundary of fixed smooth convex obstacles. This\nis the celeb
rated Sinai billiard\, a rare example of a deterministic\ndynamical system
where rigorous results relevant for statistical\nphysics are available. I
n this talk\, we will briefly review the\nclassical theory (ergodicity\, m
ixing\, central limit theorem by Sinai\,\nBunimovich\, Chernov\, etc.). Th
en we will discuss some more recent\nresults\, such as the mixing local li
mit theorem and nonequilibrium\ndensity profiles in large domains (based o
n joint work with D.\nDolgopyat and T. Teolis). Finally\, we will mention
some attempts at\nstudying rarely interacting particles.\n
DTSTART:20210517T203000Z
DTEND:20210517T213000Z
LAST-MODIFIED:20210402T154532Z
LOCATION:Remote Access
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-149
END:VEVENT
BEGIN:VEVENT
UID:d06f8516-64fd-45ca-9873-160394637c81
DTSTAMP:20210417T032823Z
CREATED:20210415T182700Z
DESCRIPTION:
DTSTART:20210520T140000Z
DTEND:20210520T160000Z
LAST-MODIFIED:20210415T182707Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-30
END:VEVENT
BEGIN:VEVENT
UID:78b24dd6-f06c-4c1f-9529-fb81b408a918
DTSTAMP:20210417T032823Z
CREATED:20210409T174823Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210520T200000Z
DTEND:20210520T220000Z
LAST-MODIFIED:20210409T174831Z
LOCATION:Remote Access
SUMMARY:Quantum Groups Seminar
URL:https://www.ias.edu/math/events/quantum-groups-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:e4403511-415d-462c-b7b8-65f8cb2f87cd
DTSTAMP:20210417T032823Z
CREATED:20210405T150456Z
DESCRIPTION:Topic: No seminar\n\n
DTSTART:20210521T131500Z
DTEND:20210521T144500Z
LAST-MODIFIED:20210405T170507Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-72
END:VEVENT
BEGIN:VEVENT
UID:4f634de6-87f1-45b3-80e8-10dfc75f0e55
DTSTAMP:20210417T032823Z
CREATED:20210331T211658Z
DESCRIPTION:Topic: Representation Theory & Categorification\n\nSpeakers: Ca
tharina Stroppel\n\nAffiliation: University of Bonn\n\nIn modern represent
ation theory we often study the category of modules\nover an algebra\, in
particular its intrinsic and combinatorial\nstructures. Vice versa one can
ask the question: which categories have\na given combinatorics? This is t
he basic insight into the concept of\ncategorification. Categorification i
s a recent development which often\nprovides finer invariants and is used
in different areas of\nmathematics (such as knot theory). We will explain
a crucial\ningredient in categorification: diagrammatics of tensor categor
ies. We\nwill focus on a few examples that arise in current research\, suc
h as\nDeligne categories. This course provides a categorical framework for
\nthe structures studied in the elementary course.\n
DTSTART:20210524T150000Z
DTEND:20210524T160000Z
LAST-MODIFIED:20210331T211720Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics
END:VEVENT
BEGIN:VEVENT
UID:27517c9c-4c30-42e4-a22f-021a2d608d1d
DTSTAMP:20210417T032823Z
CREATED:20210331T211725Z
DESCRIPTION:Topic: Representation Theory & Combinatorics of the Symmetric G
roup and Related Structures\n\nSpeakers: Monica Vazirani\n\nAffiliation: U
niversity of California\, Davis\n\nWith an eye toward coordinating with th
e advanced course\, we will\nstart with the representation theory of the s
ymmetric group and\nrelated combinatorics. We will focus on the functors o
f induction and\nrestriction. We will then consider related algebraic stru
ctures such\nas Hecke algebras. We can use diagrammatics to depict various
\nelements\, objects\, morphisms\, and so on\, even in the setting of\nde-
categorification.\n
DTSTART:20210524T161500Z
DTEND:20210524T171500Z
LAST-MODIFIED:20210331T211800Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-0
END:VEVENT
BEGIN:VEVENT
UID:c31d9727-ddbd-4f45-9d4a-4d4ded1ebcc0
DTSTAMP:20210417T032823Z
CREATED:20210323T170114Z
DESCRIPTION:Topic: The Schrodinger equations as inspiration of beautiful ma
thematics\n\nSpeakers: Gigliola Staffilani\n\nAffiliation: Massachusetts I
nstitute of Technology\n\nIn the last two decades great progress has been
made in the study of\ndispersive and wave equations. Over the years the to
olbox used in\norder to attack highly nontrivial problems related to these
equations\nhas developed to include a collection of techniques: Fourier a
nd\nharmonic analysis\, analytic number theory\, math physics\, dynamical
\nsystems\, probability and symplectic geometry. In this talk I will\nintr
oduce a variety of results using as model problem mainly the\nperiodic 2D
cubic nonlinear Schrodinger equation. I will start by\ngiving a physical d
erivation of the equation from a quantum\nmany-particles system\, I will i
ntroduce periodic Strichartz estimates\nalong with some remarkable connect
ions to analytic number theory\, I\nwill move on the concept of energy tra
nsfer and its connection to\ndynamical systems\, and I will end with some
results on the derivation\nof a wave kinetic equation.\n
DTSTART:20210524T203000Z
DTEND:20210524T213000Z
LAST-MODIFIED:20210413T172601Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-150
END:VEVENT
BEGIN:VEVENT
UID:649b93e4-7c5c-49b0-ae8c-758d670b3686
DTSTAMP:20210417T032823Z
CREATED:20210331T211805Z
DESCRIPTION:Topic: Representation Theory & Categorification\n\nSpeakers: Ca
tharina Stroppel\n\nAffiliation: University of Bonn\n\nIn modern represent
ation theory we often study the category of modules\nover an algebra\, in
particular its intrinsic and combinatorial\nstructures. Vice versa one can
ask the question: which categories have\na given combinatorics? This is t
he basic insight into the concept of\ncategorification. Categorification i
s a recent development which often\nprovides finer invariants and is used
in different areas of\nmathematics (such as knot theory). We will explain
a crucial\ningredient in categorification: diagrammatics of tensor categor
ies. We\nwill focus on a few examples that arise in current research\, suc
h as\nDeligne categories. This course provides a categorical framework for
\nthe structures studied in the elementary course.\n
DTSTART:20210525T150000Z
DTEND:20210525T160000Z
LAST-MODIFIED:20210331T211825Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-1
END:VEVENT
BEGIN:VEVENT
UID:122dcbd0-29fc-4006-9f53-f31d4c1d80bc
DTSTAMP:20210417T032823Z
CREATED:20210331T211830Z
DESCRIPTION:Topic: Representation Theory & Combinatorics of the Symmetric G
roup and Related Structures\n\nSpeakers: Monica Vazirani\n\nAffiliation: U
niversity of California\, Davis\n\nWith an eye toward coordinating with th
e advanced course\, we will\nstart with the representation theory of the s
ymmetric group and\nrelated combinatorics. We will focus on the functors o
f induction and\nrestriction. We will then consider related algebraic stru
ctures such\nas Hecke algebras. We can use diagrammatics to depict various
\nelements\, objects\, morphisms\, and so on\, even in the setting of\nde-
categorification.\n
DTSTART:20210525T161500Z
DTEND:20210525T171500Z
LAST-MODIFIED:20210331T211856Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-2
END:VEVENT
BEGIN:VEVENT
UID:9835a65d-335d-4009-ae61-106bf6f50e6b
DTSTAMP:20210417T032823Z
CREATED:20210331T211901Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Laura Rider\n\nAffiliation:
University of Georgia\n\n
DTSTART:20210526T150000Z
DTEND:20210526T160000Z
LAST-MODIFIED:20210331T211926Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-3
END:VEVENT
BEGIN:VEVENT
UID:b0cb73ce-8739-410b-a598-c34b0f598b01
DTSTAMP:20210417T032823Z
CREATED:20210331T211931Z
DESCRIPTION:Topic: Beyond Abstract Algebra \n\nSpeakers: Chelsea Walton\n\n
Affiliation: Rice University\n\nAbstract: This is a tale about my adventur
es of being trained as a\nRing Theorist to now using Category Theory in my
work. This is\nsomething that I certainly did not predict when I defended
my thesis\n10 years ago\, but the best stories are unpredictable\, no? I
will\nhighlight some of my research and pedagogical work during this perio
d\,\nand will also discuss a few characters that played a pivotal role in
\nmy trajectory. Though it is full of unexpected twists and turns\, this\n
tale does have a happy ending.\n
DTSTART:20210526T183000Z
DTEND:20210526T193000Z
LAST-MODIFIED:20210409T175228Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-4
END:VEVENT
BEGIN:VEVENT
UID:e8f6bf7a-8d88-4edb-b153-1105f7a9c2d0
DTSTAMP:20210417T032823Z
CREATED:20210415T182714Z
DESCRIPTION:
DTSTART:20210527T140000Z
DTEND:20210527T160000Z
LAST-MODIFIED:20210415T182721Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-31
END:VEVENT
BEGIN:VEVENT
UID:ad5d2b0d-391d-412a-bc08-a08e41e76edd
DTSTAMP:20210417T032823Z
CREATED:20210331T212010Z
DESCRIPTION:Topic: Representation Theory & Categorification\n\nSpeakers: Ca
tharina Stroppel\n\nAffiliation: University of Bonn\n\nIn modern represent
ation theory we often study the category of modules\nover an algebra\, in
particular its intrinsic and combinatorial\nstructures. Vice versa one can
ask the question: which categories have\na given combinatorics? This is t
he basic insight into the concept of\ncategorification. Categorification i
s a recent development which often\nprovides finer invariants and is used
in different areas of\nmathematics (such as knot theory). We will explain
a crucial\ningredient in categorification: diagrammatics of tensor categor
ies. We\nwill focus on a few examples that arise in current research\, suc
h as\nDeligne categories. This course provides a categorical framework for
\nthe structures studied in the elementary course.\n
DTSTART:20210527T150000Z
DTEND:20210527T160000Z
LAST-MODIFIED:20210331T212030Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-5
END:VEVENT
BEGIN:VEVENT
UID:31b06879-7f83-48d7-b820-56e1d14cc34f
DTSTAMP:20210417T032823Z
CREATED:20210331T212035Z
DESCRIPTION:Topic: Representation Theory & Combinatorics of the Symmetric G
roup and Related Structures\n\nSpeakers: Monica Vazirani\n\nAffiliation: U
niversity of California\, Davis\n\nWith an eye toward coordinating with th
e advanced course\, we will\nstart with the representation theory of the s
ymmetric group and\nrelated combinatorics. We will focus on the functors o
f induction and\nrestriction. We will then consider related algebraic stru
ctures such\nas Hecke algebras. We can use diagrammatics to depict various
\nelements\, objects\, morphisms\, and so on\, even in the setting of\nde-
categorification.\n
DTSTART:20210527T161500Z
DTEND:20210527T171500Z
LAST-MODIFIED:20210331T212101Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-6
END:VEVENT
BEGIN:VEVENT
UID:7ab09cfc-5aba-4ac6-b0ba-07507d9ceed0
DTSTAMP:20210417T032823Z
CREATED:20210405T150509Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210528T131500Z
DTEND:20210528T144500Z
LAST-MODIFIED:20210405T150516Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-73
END:VEVENT
BEGIN:VEVENT
UID:458c4b4e-9b1d-402c-aee3-1ba09146493b
DTSTAMP:20210417T032823Z
CREATED:20210331T212105Z
DESCRIPTION:Topic: Representation Theory & Categorification\n\nSpeakers: Ca
tharina Stroppel\n\nAffiliation: University of Bonn\n\nIn modern represent
ation theory we often study the category of modules\nover an algebra\, in
particular its intrinsic and combinatorial\nstructures. Vice versa one can
ask the question: which categories have\na given combinatorics? This is t
he basic insight into the concept of\ncategorification. Categorification i
s a recent development which often\nprovides finer invariants and is used
in different areas of\nmathematics (such as knot theory). We will explain
a crucial\ningredient in categorification: diagrammatics of tensor categor
ies. We\nwill focus on a few examples that arise in current research\, suc
h as\nDeligne categories. This course provides a categorical framework for
\nthe structures studied in the elementary course.\n
DTSTART:20210528T150000Z
DTEND:20210528T160000Z
LAST-MODIFIED:20210331T212125Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-7
END:VEVENT
BEGIN:VEVENT
UID:4a1bf162-ed4a-4c88-b621-8c8327ce684a
DTSTAMP:20210417T032823Z
CREATED:20210331T212130Z
DESCRIPTION:Topic: Representation Theory & Combinatorics of the Symmetric G
roup and Related Structures\n\nSpeakers: Monica Vazirani\n\nAffiliation: U
niversity of California\, Davis\n\nWith an eye toward coordinating with th
e advanced course\, we will\nstart with the representation theory of the s
ymmetric group and\nrelated combinatorics. We will focus on the functors o
f induction and\nrestriction. We will then consider related algebraic stru
ctures such\nas Hecke algebras. We can use diagrammatics to depict various
\nelements\, objects\, morphisms\, and so on\, even in the setting of\nde-
categorification.\n
DTSTART:20210528T161500Z
DTEND:20210528T171500Z
LAST-MODIFIED:20210331T212155Z
LOCATION:Virtual
SUMMARY:2021 Women and Mathematics
URL:https://www.ias.edu/math/events/2021-women-and-mathematics-8
END:VEVENT
BEGIN:VEVENT
UID:edac6959-e777-42ec-bd79-11bd6a9ebeb8
DTSTAMP:20210417T032823Z
CREATED:20210323T170128Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210531T203000Z
DTEND:20210531T213000Z
LAST-MODIFIED:20210409T190327Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-151
END:VEVENT
BEGIN:VEVENT
UID:c07efd4b-2166-4301-bc01-2db6d32033d1
DTSTAMP:20210417T032823Z
CREATED:20210415T182729Z
DESCRIPTION:
DTSTART:20210603T140000Z
DTEND:20210603T160000Z
LAST-MODIFIED:20210415T182737Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-32
END:VEVENT
BEGIN:VEVENT
UID:57dbe045-835f-453c-8954-a602524decc1
DTSTAMP:20210417T032823Z
CREATED:20210405T150523Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210604T131500Z
DTEND:20210604T144500Z
LAST-MODIFIED:20210405T150530Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-74
END:VEVENT
BEGIN:VEVENT
UID:b62f3725-07cb-4641-8a61-62ed65a6f6de
DTSTAMP:20210417T032823Z
CREATED:20210323T170143Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210607T203000Z
DTEND:20210607T213000Z
LAST-MODIFIED:20210323T170150Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-152
END:VEVENT
BEGIN:VEVENT
UID:797acc42-69e9-4544-bb5d-1ba5539d90ab
DTSTAMP:20210417T032823Z
CREATED:20210415T182744Z
DESCRIPTION:
DTSTART:20210610T140000Z
DTEND:20210610T160000Z
LAST-MODIFIED:20210415T182752Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-33
END:VEVENT
BEGIN:VEVENT
UID:40e042b2-1d27-4bfa-9dd3-12bdaa4a1009
DTSTAMP:20210417T032823Z
CREATED:20210405T150537Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210611T131500Z
DTEND:20210611T144500Z
LAST-MODIFIED:20210405T150545Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-75
END:VEVENT
BEGIN:VEVENT
UID:431e4007-7411-4fa0-a2f5-137b479a97de
DTSTAMP:20210417T032823Z
CREATED:20210323T170157Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Phillip Isett\n\nAffiliatio
n: University of Texas at Austin\, California Institute of Technology\n\n
DTSTART:20210614T203000Z
DTEND:20210614T213000Z
LAST-MODIFIED:20210323T184251Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-153
END:VEVENT
BEGIN:VEVENT
UID:aca60455-00f6-4fcc-93a5-105ab19b23fc
DTSTAMP:20210417T032823Z
CREATED:20210415T182759Z
DESCRIPTION:
DTSTART:20210617T140000Z
DTEND:20210617T160000Z
LAST-MODIFIED:20210415T182807Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-34
END:VEVENT
BEGIN:VEVENT
UID:da76547b-7516-4952-9808-56865ab2ee27
DTSTAMP:20210417T032823Z
CREATED:20210405T150552Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210618T131500Z
DTEND:20210618T144500Z
LAST-MODIFIED:20210405T150600Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-76
END:VEVENT
BEGIN:VEVENT
UID:2f485074-be31-45fe-a9d0-45e5120386a0
DTSTAMP:20210417T032823Z
CREATED:20210323T170210Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210621T203000Z
DTEND:20210621T213000Z
LAST-MODIFIED:20210323T170217Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-154
END:VEVENT
BEGIN:VEVENT
UID:10dc5b58-a212-42ee-b853-20696eca694e
DTSTAMP:20210417T032823Z
CREATED:20210415T182814Z
DESCRIPTION:
DTSTART:20210624T140000Z
DTEND:20210624T160000Z
LAST-MODIFIED:20210415T182821Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-35
END:VEVENT
BEGIN:VEVENT
UID:62a623a4-0cdb-48f2-850e-e28cb80dd6de
DTSTAMP:20210417T032823Z
CREATED:20210405T150607Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210625T131500Z
DTEND:20210625T144500Z
LAST-MODIFIED:20210405T150615Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-77
END:VEVENT
BEGIN:VEVENT
UID:91b859c5-5c22-4075-b128-e1c34c6f0eda
DTSTAMP:20210417T032823Z
CREATED:20210323T170225Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210628T203000Z
DTEND:20210628T213000Z
LAST-MODIFIED:20210323T170232Z
LOCATION:
SUMMARY:Analysis Seminar
URL:https://www.ias.edu/math/events/analysis-seminar-155
END:VEVENT
BEGIN:VEVENT
UID:300b12bf-7eea-4cec-a3bd-d517ba5c69e7
DTSTAMP:20210417T032823Z
CREATED:20210415T182829Z
DESCRIPTION:
DTSTART:20210701T140000Z
DTEND:20210701T160000Z
LAST-MODIFIED:20210415T182836Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-36
END:VEVENT
BEGIN:VEVENT
UID:9cff7724-6fed-4746-9f53-f0c57cb289da
DTSTAMP:20210417T032823Z
CREATED:20210405T150622Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210702T131500Z
DTEND:20210702T144500Z
LAST-MODIFIED:20210405T150630Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-78
END:VEVENT
BEGIN:VEVENT
UID:55438fc7-fd96-44a1-b39f-cbe022364ffd
DTSTAMP:20210417T032823Z
CREATED:20210415T182843Z
DESCRIPTION:
DTSTART:20210708T140000Z
DTEND:20210708T160000Z
LAST-MODIFIED:20210415T182851Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-37
END:VEVENT
BEGIN:VEVENT
UID:f9cecc43-5a30-468c-9d5d-e1cf3aa48317
DTSTAMP:20210417T032823Z
CREATED:20210405T150637Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210709T131500Z
DTEND:20210709T144500Z
LAST-MODIFIED:20210405T150643Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-79
END:VEVENT
BEGIN:VEVENT
UID:425a4ed7-ea78-4c8e-bed1-161b79c7b706
DTSTAMP:20210417T032823Z
CREATED:20210415T182859Z
DESCRIPTION:
DTSTART:20210715T140000Z
DTEND:20210715T160000Z
LAST-MODIFIED:20210415T182907Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-38
END:VEVENT
BEGIN:VEVENT
UID:9e84e546-7f87-472f-ac18-4fc7b006e169
DTSTAMP:20210417T032823Z
CREATED:20210405T150652Z
DESCRIPTION:Topic: To Be Announced\n\n
DTSTART:20210716T131500Z
DTEND:20210716T144500Z
LAST-MODIFIED:20210405T150700Z
LOCATION:Remote Access
SUMMARY:Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoo
minar
URL:https://www.ias.edu/math/events/joint-iasprincetonmontrealparistel-aviv
-symplectic-geometry-zoominar-80
END:VEVENT
BEGIN:VEVENT
UID:8c90b3d7-74fb-430e-b91b-dcbbc8ab6ab1
DTSTAMP:20210417T032823Z
CREATED:20210415T182914Z
DESCRIPTION:
DTSTART:20210722T140000Z
DTEND:20210722T160000Z
LAST-MODIFIED:20210415T182921Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-39
END:VEVENT
BEGIN:VEVENT
UID:d0788e27-2592-4088-8287-d1e9020fda7d
DTSTAMP:20210417T032823Z
CREATED:20210415T182930Z
DESCRIPTION:
DTSTART:20210729T140000Z
DTEND:20210729T160000Z
LAST-MODIFIED:20210415T182937Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Moonshine Seminar
URL:https://www.ias.edu/math/events/moonshine-seminar-40
END:VEVENT
BEGIN:VEVENT
UID:f9617eb6-a5e1-4ba9-95e6-8c84aa1ac8f3
DTSTAMP:20210417T032823Z
CREATED:20200110T181253Z
DESCRIPTION:
DTSTART:20210920T130000Z
DTEND:20210920T130000Z
LAST-MODIFIED:20210104T025634Z
LOCATION:
SUMMARY:IAS School of Mathematics Term I Begins
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-i-begins-0
END:VEVENT
BEGIN:VEVENT
UID:c84d9110-dd4d-4dbd-9d16-769b6133bd31
DTSTAMP:20210417T032823Z
CREATED:20200110T181356Z
DESCRIPTION:
DTSTART:20211217T230000Z
DTEND:20211217T230000Z
LAST-MODIFIED:20210104T025731Z
LOCATION:
SUMMARY:IAS School of Mathematics Term I Ends
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-i-ends-0
END:VEVENT
BEGIN:VEVENT
UID:9d37d003-a367-4753-8ada-09c662ebe0b6
DTSTAMP:20210417T032823Z
CREATED:20200110T181450Z
DESCRIPTION:
DTSTART:20220110T140000Z
DTEND:20220110T140000Z
LAST-MODIFIED:20210104T025827Z
LOCATION:
SUMMARY:IAS School of Mathematics Term II Begins
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-ii-begins-0
END:VEVENT
BEGIN:VEVENT
UID:ed1c0a73-d85e-411e-b836-2ddd4bb4e3e8
DTSTAMP:20210417T032823Z
CREATED:20200110T181550Z
DESCRIPTION:
DTSTART:20220408T220000Z
DTEND:20220408T220000Z
LAST-MODIFIED:20210104T025926Z
LOCATION:
SUMMARY:IAS School of Mathematics Term II Ends
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-ii-ends-0
END:VEVENT
END:VCALENDAR