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UID:61393535-3033-4135-b161-646537656166
X-WR-TIMEZONE:UTC
X-WR-CALNAME:IAS Mathematics
BEGIN:VEVENT
UID:63316638-6237-4737-b431-666230376130
DTSTAMP:20220518T204813Z
CREATED:20211209T235304Z
DESCRIPTION:Topic: Reynaud models from relative Floer theory\n\nSpeakers: U
mut Varolgunes\n\nAffiliation: Boğaziçi University\n\nI will start by expl
aining the construction of a formal scheme\nstarting with an integral affi
ne manifold $Q$ equipped with a\ndecomposition into Delzant polytopes. Thi
s is a weaker and more\nelementary version of degenerations of abelian var
ieties originally\nconstructed by Mumford. Then I will reinterpret this co
nstruction\nusing the corresponding Lagrangian torus fibration $X\rightarr
ow Q$\nand relative Floer theory of its canonical Lagrangian section.\nFin
ally\, I will discuss a conjectural generalization of the story to\ndecomp
ositions of CY symplectic manifolds into symplectic log CY's\nwhose bounda
ries are 'opened up'.
DTSTART:20220218T141500Z
DTEND:20220218T154500Z
LAST-MODIFIED:20220218T133203Z
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:62326539-3064-4336-b165-396630316436
DTSTAMP:20220518T204813Z
CREATED:20211027T173941Z
DESCRIPTION:Topic: PAC Learnability of partial concept classes\n\nSpeakers:
Noga Alon\n\nAffiliation: Princeton University\n\nWe extend the classical
theory of PAC learning in a way which allows\nto model a rich variety of
practical learning tasks where the data\nsatisfies special properties that
ease the learning process. This is\ndone by considering partial concepts:
functions that can be undefined\non certain parts of the space\, providin
g a natural way to express\nassumptions on the data such as satisfying mar
gin conditions.\n\nWe characterize PAC learnability of partial concept cla
sses and reveal\nan algorithmic landscape which is fundamentally different
than the\nclassical one. We also show that there are easy-to-learn partia
l\nconcept classes which probably cannot be captured by the traditional\nP
AC theory\, resolving in a strong sense a recent problem of Attias\,\nKont
orovich and Mansour.\n\nJoint work with Steve Hanneke\, Ron Holzman and Sh
ay Moran.
DTSTART:20220221T161500Z
DTEND:20220221T171500Z
LAST-MODIFIED:20220203T174702Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-501
END:VEVENT
BEGIN:VEVENT
UID:35313631-3566-4363-b430-616264363664
DTSTAMP:20220518T204813Z
CREATED:20211209T214542Z
DESCRIPTION:Topic: No seminar: Presidents' Day
DTSTART:20220221T190000Z
DTEND:20220221T200000Z
LAST-MODIFIED:20211215T193956Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-25
END:VEVENT
BEGIN:VEVENT
UID:30303735-6330-4364-b832-376363633464
DTSTAMP:20220518T204813Z
CREATED:20211210T001932Z
DESCRIPTION:Topic: Generic equidistribution of periodic orbits for area-pre
serving surface diffeomorphisms.\n\nSpeakers: Rohil Prasad\n\nAffiliation:
Princeton University\n\nI will discuss some recent work showing that a ge
neric area-preserving\ndiffeomorphism of a closed surface has an equidistr
ibuted sequence of\nperiodic orbits. The proof uses several properties of
spectral\ninvariants from periodic Floer homology\, along with a variation
al\nargument originating in work of Marques-Neves-Song and Irie regarding
\nequidistribution results for minimal hypersurfaces and Reeb flows\,\nres
pectively.
DTSTART:20220221T210000Z
DTEND:20220221T223000Z
LAST-MODIFIED:20220222T134627Z
LOCATION:Princeton University\, Fine 314
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-181
END:VEVENT
BEGIN:VEVENT
UID:64663961-6138-4935-b734-373962633662
DTSTAMP:20220518T204813Z
CREATED:20211210T162249Z
DESCRIPTION:Topic: Derandomization and its connections throughout complexit
y theory\n\nSpeakers: Liije Chen\n\nAffiliation: Massachusetts Institute o
f Technology\n\nThis is the second talk in a three-part series presented t
ogether with\nRoei Tell.\n\nThe series is intended to survey the fast-pace
d recent developments in\nthe study of derandomization. We will present:\n
\n * A revised version of the classical hardness vs randomness\nframework\
, converting new types of uniform lower bounds into\nnon-black-box derando
mization algorithms.\n * Unconditional derandomization of an important cla
ss of\nMerlin-Arthur protocols\, and stronger circuit lower bounds from\nd
erandomization.\n * Optimal derandomization algorithms that incur essentia
lly no\nruntime overhead (a.k.a 'free lunch derandomization').\n\nThe seco
nd talk will present the recent developments on proving\ncircuit lower bou
nds from non-trivial derandomization (a.k.a.\, the\nalgorithmic method).
As the main focus\, I will show how to\nderandomize Merlin-Arthur protocol
s with ACC^0 verifiers in\nnondeterministic quasi-polynomial time infinite
ly often and\nconsequently deduce ACC^0 lower bounds.\n\nI will first pres
ent a recent perspective on the algorithmic method\nthat decomposes the wh
ole proof into three conceptual ingredients and\nshow how these three ingr
edients lead to new circuit lower bounds. \nNext\, I will explain one of t
he ingredients in more detail: an\napproach for unconditionally derandomiz
ing Merlin-Arthur protocols\nwhose verifiers have small circuits from a ce
rtain circuit class.
DTSTART:20220222T153000Z
DTEND:20220222T173000Z
LAST-MODIFIED:20220222T133410Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-499
END:VEVENT
BEGIN:VEVENT
UID:62336564-3134-4430-a365-366434346339
DTSTAMP:20220518T204813Z
CREATED:20211209T234406Z
DESCRIPTION:Topic: On the Lagrangian cobordism relation on Legendrian links
\n\nSpeakers: Joshua Sabloff\n\nAffiliation: Member\, School of Mathematic
s\n\nLagrangian cobordism induces a preorder on the set of Legendrian link
s\nin any contact 3-manifold. We show that any finite collection of\nnull-
homologous Legendrian links in a tight contact 3-manifold with a\ncommon r
otation number has an upper bound with respect to the\npre-order. While a
similar result due to Lazarev in higher dimensions\nrequires the use of an
h-principle\, we are able to work 'by hand' in\ndimension 3. In particula
r\, we give concrete constructions of an exact\nLagrangian cobordism from
each element of the collection to a common\nLegendrian link. This construc
tion allows us to define a notion of\nminimal Lagrangian genus between any
two null-homologous Legendrian\nlinks with common rotation number\, a not
ion that I will explore\nfurther towards the end of the talk. Most of this
material is joint\nwork with Shea Vela-Vick and C.-M. Michael Wong.
DTSTART:20220222T190000Z
DTEND:20220222T200000Z
LAST-MODIFIED:20220222T133832Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-15
END:VEVENT
BEGIN:VEVENT
UID:38663330-6666-4265-b336-636361373765
DTSTAMP:20220518T204813Z
CREATED:20211209T234820Z
DESCRIPTION:Topic: Effective equidistribution of some one-parameter unipote
nt flows with polynomial rates I & II\n\nSpeakers: Elon Lindenstrauss\n\nA
ffiliation: Hebrew University\n\nA landmark result of Ratner states that i
f $G$ is a Lie group\,\n$\Gamma$ a lattice in $G$ and if $u_t$ is a one-pa
rameter\n$Ad$-unipotent subgroup of $G$\, then for any $x \in G/\Gamma$ th
e\norbit $u_t.x$ is equidistributed in a periodic orbit of some subgroup\n
$L 4$.\n\nFor continuum $\v
arphi^4$ measures in $d=2\,3$\, we show that\nlog-Sobolev constant is boun
ded uniformly in the lattice\nregularisation and in the volume under the o
ptimal condition that the\nsusceptiblity is bounded.\n\nBoth proofs use a
general criterion for the log-Sobolev inequality in\nterms of the Polchins
ki (renormalisation group) equation (proved with\nT. Bodineau) and rely on
a recently proved remarkable correlation\ninequality for Ising models wit
h general external fields (proved by\nDing-Song-Sun).\n\nThis is joint wor
k with Benoit Dagallier.
DTSTART:20220223T213000Z
DTEND:20220223T223000Z
LAST-MODIFIED:20220223T135336Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-55
END:VEVENT
BEGIN:VEVENT
UID:63333030-6437-4531-b566-303464393139
DTSTAMP:20220518T204813Z
CREATED:20220106T155754Z
DESCRIPTION:Topic: Lego in finite groups\, Hurwitz spaces\, and Markoff tri
ples\n\nSpeakers: William Yun Chen\n\nAffiliation: Member\, School of Math
ematics\n\nLet G be a group\, and let (g\,h) be a pair in G x G. Consider
the group\nof symmetries of G x G generated by the 'moves' sending (g\,h)
to\n(g\,gh)\, (g\,g^{-1}h)\, (g\,hg)\, (g\,hg^{-1})\, (gh\,h)\,...etc. An
old\nquestion from the 50's\, motivated by the study of group presentation
s\,\nasks: What are the orbits of this action? In algebraic geometry\, suc
h\nquestions are related to the problem of determining the connected\ncomp
onents of Hurwitz spaces. I will explain this connection\, some\nrecent pr
ogress\, and an application to a conjecture of Bourgain\,\nGamburd\, and S
arnak on the Diophantine properties of the Markoff\nequation x^2 + y^2 + z
^2 - xyz = 0.
DTSTART:20220223T230000Z
DTEND:20220224T010000Z
LAST-MODIFIED:20220222T204241Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-230
END:VEVENT
BEGIN:VEVENT
UID:30613438-3566-4361-b932-623835396334
DTSTAMP:20220518T204813Z
CREATED:20211210T195351Z
DESCRIPTION:
DTSTART:20220224T150000Z
DTEND:20220224T170000Z
LAST-MODIFIED:20211210T195359Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:62323661-6331-4565-b433-626133313130
DTSTAMP:20220518T204813Z
CREATED:20211209T221742Z
DESCRIPTION:Topic: H$^{1/2-}$ solutions of the 3D Euler equations - Part 1:
Constructing velocity increments and placement lemmas\n\nSpeakers: Sam G.
Krupa\, Matthew Novack\n\nAffiliation: Members\, School of Mathematics
DTSTART:20220224T190000Z
DTEND:20220224T210000Z
LAST-MODIFIED:20220217T155233Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-3
END:VEVENT
BEGIN:VEVENT
UID:39366666-6565-4631-b033-333235336531
DTSTAMP:20220518T204813Z
CREATED:20211209T220621Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220224T213000Z
DTEND:20220224T223000Z
LAST-MODIFIED:20220217T155358Z
LOCATION:
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-473
END:VEVENT
BEGIN:VEVENT
UID:62313339-6337-4431-a234-376161616534
DTSTAMP:20220518T204813Z
CREATED:20211209T235317Z
DESCRIPTION:Topic: Topological entropy of Hamiltonian diffeomorphisms: a pe
rsistence homology and Floer theory perspective\n\nSpeakers: Erman Cineli
\n\nIn this talk I will introduce barcode entropy and discuss its\nconnect
ions to topological entropy. The barcode entropy is a\nFloer-theoretic inv
ariant of a compactly supported Hamiltonian\ndiffeomorphism\, measuring\,
roughly speaking\, the exponential growth\nunder iterations of the number
of not-too-short bars in the barcode of\nthe Floer complex. The topologica
l entropy bounds from above the\nbarcode entropy and\, conversely\, the ba
rcode entropy is bounded from\nbelow by the topological entropy of any hyp
erbolic locally maximal\ninvariant set. As a consequence\, the two quantit
ies are equal for\nHamiltonian diffeomorphisms of closed surfaces. The tal
k is based on a\njoint work with Viktor Ginzburg and Basak Gurel.
DTSTART:20220225T141500Z
DTEND:20220225T154500Z
LAST-MODIFIED:20220225T121717Z
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:65333439-3138-4334-b531-353263336535
DTSTAMP:20220518T204813Z
CREATED:20211027T174359Z
DESCRIPTION:Topic: Refuting Smoothed k-SAT Formulas and a Proof of Feige's
Conjecture\n\nSpeakers: Pravesh Kothari\n\nAffiliation: Carnegie Mellon Un
iversity\n\nI'll present a new algorithm to refute\, that is\, efficiently
find\ncertificates of unsatisfiability\, for smoothed instances of k-SAT
and\nother CSPs. Smoothed instances are produced by starting with a\nworst
-case instance and flipping each literal in every clause\nindependently wi
th a small constant probability. The 'clause'\nstructure in such instances
is arbitrary and the only randomness is in\nthe literal patterns. The tra
de-off between the density\, i.e.\, the\nnumber of constraints in the inst
ance and the running time required by\nthe algorithm matches (up to polylo
garithmic factors density) the best\nknown (and possibly sharp) trade-off
for random k-SAT. As a corollary\,\nwe also obtain a simpler analysis for
refuting random k-SAT formulas.\n\nOur analysis inspires a new method that
we use to prove Feige's 2008\nconjecture on the trade-off between the siz
e of the hypergraph and its\ngirth that generalizes the Moore bound on the
girth of irregular\ngraphs proved by Alon\, Hoory\, and Linial (2002). As
a corollary\, we\nobtain that smoothed instances of 3-sat with arbitrary
clause\nstructure and ~n^{1.4} (<< n^{1.5}\, the threshold for known effic
ient\nrefutation) constraints admit polynomial-size certificates of\nunsat
isfiability with appropriate generalization to all k-CSPs. This\nextends t
he celebrated work of Feige\, Kim\, and Ofek (2006) who proved\na similar
result for random 3-sat. FKO's proof uses a\n2nd-moment-method based argum
ent that strongly exploits the randomness\nof the clause structure. Our pr
oof gives a simpler argument that\nextends to ``worst-case' clause structu
res. \n\nTaken together\, our results show that smoothed instances with\na
rbitrary clause structure and considerably less randomness enjoy the\nsame
thresholds for both refutation algorithms and certificates of\nunsatisfia
bility as random instances.\n\nBased on joint work with Venkat Guruswami (
CMU/Berkeley) and Peter\nManohar (CMU).
DTSTART:20220228T161500Z
DTEND:20220228T171500Z
LAST-MODIFIED:20220228T160251Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-502
END:VEVENT
BEGIN:VEVENT
UID:34653763-3138-4662-b765-333163393333
DTSTAMP:20220518T204813Z
CREATED:20211209T214555Z
DESCRIPTION:Topic: A Gentle Approach to Crystalline Cohomology\n\nSpeakers:
Jacob Lurie\n\nAffiliation: Professor\, School of Mathematics\n\nLet X be
a smooth affine algebraic variety over the field C of complex\nnumbers (t
hat is\, a smooth submanifold of C^n which can be described\nas the soluti
ons to a system of polynomial equations). Grothendieck\nshowed that the de
Rham cohomology of X can be computed using only\npolynomial differential
forms on X. This observation was the starting\npoint for the theory of alg
ebraic de Rham cohomology\, which has proved\nto be a useful invariant for
algebraic varieties over an arbitrary\nfield k. In the case where k has p
ositive characteristic\, Berthelot\nand Grothendieck introduced a refineme
nt of algebraic de Rham\ncohomology\, known as crystalline cohomology. Lat
er work of Bloch\,\nDeligne\, and Illusie showed that crystalline cohomolo
gy could be\ncomputed using an explicit chain complex\, called the de Rham
-Witt\ncomplex. In this talk\, I'll give an overview of some of these idea
s\nand sketch an alternative construction of the de Rham-Witt complex\n(jo
int work with Bhargav Bhatt and Akhil Mathew).
DTSTART:20220228T190000Z
DTEND:20220228T200000Z
LAST-MODIFIED:20220228T160413Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-26
END:VEVENT
BEGIN:VEVENT
UID:64626330-3865-4238-b865-313734356133
DTSTAMP:20220518T204813Z
CREATED:20211210T001944Z
DESCRIPTION:Topic: Symplectic geometry of surface group representations\n\n
Speakers: William Goldman\n\nAffiliation: Member\, School of Mathematics\n
\nIf G is a Lie group whose adjoint representation preserves a\nnondegener
ate symmetric bilinear form on its Lie algebra (e.g. a\nsemisimple group)
and F is the fundamental group of a closed oriented\nsurface S\, then the
spaces of equivalence classes of representations\nF-> G (equivalently gaug
e-equivalence classes of flat G-connections\nover S) enjoys a rich symplec
tic geometry. These symplectic manifolds\ngeneralize the Kahler structures
on the Jacobi variety\, moduli of\nholomorphic vector bundles\, and Teich
mueller space. This talk will\ndescribe this geometry and several open que
stions about these\nsymplectic manifolds.
DTSTART:20220228T210000Z
DTEND:20220228T223000Z
LAST-MODIFIED:20220228T160551Z
LOCATION:
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-182
END:VEVENT
BEGIN:VEVENT
UID:34383535-6236-4633-b863-326138633534
DTSTAMP:20220518T204813Z
CREATED:20211210T162304Z
DESCRIPTION:Topic: Non-Black-Box Derandomization\n\nSpeakers: Roei Tell\n\n
Affiliation: Member\, School of Mathematics\n\nThis is the third and final
talk in the joint series with Lijie Chen\n[https://www.mit.edu/~lijieche/
]. The talk will NOT rely on the\ntechnical contents from the two previous
talks.\n\nI will present a joint work with Lijie\n[https://eccc.weizmann.
ac.il/report/2021/080/]\, in which we revise the\nhardness vs randomness f
ramework so that it can work in a\nnon-black-box fashion. That is\, we con
struct derandomization\nalgorithms that do not rely on classical PRGs\, an
d instead 'extract\npseudorandomness' from the given input on which we wan
t to simulate\nthe probabilistic machine.\n\nUsing a non-black-box approac
h allows us to deduce stronger\nconclusions (or alternatively rely on weak
er hypotheses)\, compared to\nclassical approaches. In particular\, I will
present two such results:\n\n1. 'Free lunch' derandomization\, in which w
e eliminate randomness at\nessentially no observable cost in the running t
ime.\n\n2. A new approach to the prBPP = prP conjecture\, which connects t
he\nconjecture to a specific type of uniform lower bounds that we\nintrodu
ce.
DTSTART:20220301T153000Z
DTEND:20220301T173000Z
LAST-MODIFIED:20220301T141401Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-500
END:VEVENT
BEGIN:VEVENT
UID:30333335-3732-4739-a235-343037326466
DTSTAMP:20220518T204813Z
CREATED:20211209T234420Z
DESCRIPTION:Topic: Weak solutions to MHD equations\n\nSpeakers: Daniel Fara
co\n\nAffiliation: Member\, School of Mathematics\n\nThe talk will be devo
ted to explain how to construct weak solutions to\n3D Ideal MHD equations
obtained by convex integration (in the non\nsmooth regime). We will show t
he existence of bounded weak solutions\ndissipating energy and cross helic
ity but preserving magnetic helicity\nand of critical solutions\, in the L
^p regime\, dissipating magnetic\nhelicity. It turns out that is useful to
decouple the system in the\nmagnetic and fluid part\, and treat the magne
tic part using the Maxwell\n2 form. The dissipation of magnetic helicity b
uilds on an anisotropic\nstaircase laminate for the Maxwell systems which
might be of\nindependent interest. This is a joint work with Sauli Lindber
g\n(University of Helsinki) and László Székelyhidi (University of\nLeipzig
).
DTSTART:20220301T190000Z
DTEND:20220301T200000Z
LAST-MODIFIED:20220301T141910Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-16
END:VEVENT
BEGIN:VEVENT
UID:63363933-3033-4938-b538-373232336162
DTSTAMP:20220518T204813Z
CREATED:20211209T234834Z
DESCRIPTION:Topic: Effective equidistribution of some one-parameter unipote
nt flows with polynomial rates I & II\n\nSpeakers: Amir Mohammadi\, Zhiren
Wang\n\nAffiliation: University of California San Diego\; Penn State Univ
ersity\n\nA landmark result of Ratner states that if $G$ is a Lie group\,
\n$\Gamma$ a lattice in $G$ and if $u_t$ is a one-parameter\n$Ad$-unipoten
t subgroup of $G$\, then for any $x \in G/\Gamma$ the\norbit $u_t.x$ is eq
uidistributed in a periodic orbit of some subgroup\n$L 0.\nThen\, we reduce the key problems in a fine-grained way to man
y\nimportant problems. Thus\, getting a tight conditional lower-bounds for
\nthem.\n\nThis approach has led to the discovery of many meaningful\nrela
tionships between problems\, and to equivalence classes. One such\nkey con
jecture is a quantitative strengthening of the P!=NP conjecture\ncalled SE
TH. \n\nResearch on SETH-based lower bounds has flourished in particular
in\nrecent years. Showing\, for example\, that the classical algorithms ar
e\nlikely optimal for problems such as Diameter\, Sub-tree Isomorphism\,\n
Edit Distance and Longest Common Subsequence. \n\nIn the first half of the
seminar we will introduce and survey the\nclassic conjectures and tools o
f these fine-grained reductions.\n\nIn the second half of it we will cover
a recent technique (joint work\nwith Abboud\, Bringmann and Khoury) that
translates many of these\nconditional-lower bounds to hold also for approx
imation algorithms.\nFor example\, we show that no distance oracle with O(
1)-approximation\,\n$m^{(1+o(1))}$ preprocessing time and $m^{o(1)}$ query
time is likely\nto exist.
DTSTART:20220308T153000Z
DTEND:20220308T173000Z
LAST-MODIFIED:20220308T133112Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-501
END:VEVENT
BEGIN:VEVENT
UID:37353838-3563-4261-a539-376535353537
DTSTAMP:20220518T204813Z
CREATED:20211209T234433Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220308T190000Z
DTEND:20220308T200000Z
LAST-MODIFIED:20220307T160202Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry (cancelled)
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-cancelled
END:VEVENT
BEGIN:VEVENT
UID:37643366-3736-4665-a464-363832346566
DTSTAMP:20220518T204813Z
CREATED:20220301T145901Z
DESCRIPTION:Topic: Review of vanishing for bounded cohomology\, in preparat
ion for stability\n\nSpeakers: Nicolas Monod\n\nAffiliation: École Polytec
hnique Fédérale de Lausanne\n\nThis lecture serves as a background for the
upcoming talk by Bharatram\nRangarajan. I will review some aspects of bou
nded cohomology\,\nincluding why it appears to have some relevance to stab
ility\nquestions. I will then explain vanishing results for the bounded\nc
ohomology of higher rank groups and their lattices. This includes\nresults
with Marc Burger\, Yehuda Shalom\, and time permitting a new\nvariant of
Borel-Serre vanishing based on a measurable Solomon-Tits\ntheorem.
DTSTART:20220309T160000Z
DTEND:20220309T171500Z
LAST-MODIFIED:20220309T134803Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-23
END:VEVENT
BEGIN:VEVENT
UID:66663162-3966-4032-b330-643030343535
DTSTAMP:20220518T204813Z
CREATED:20211209T233755Z
DESCRIPTION:Topic: Quantitative Heegaard Floer cohomology and the Calabi in
variant [CGHMSS] Part V: The Calabi morphism\n\nSpeakers: Joshua Sabloff\n
\nAffiliation: Member\, School of Mathematics
DTSTART:20220309T190000Z
DTEND:20220309T210000Z
LAST-MODIFIED:20220214T153219Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Geometry
URL:https://www.ias.edu/math/events/topics-geometry-5
END:VEVENT
BEGIN:VEVENT
UID:38666238-3133-4230-b762-393864383966
DTSTAMP:20220518T204813Z
CREATED:20220303T122345Z
DESCRIPTION:Topic: An Introduction to Grassmann integrals with applications
to statistical mechanics.\n\nSpeakers: Vieri Mastropietro\n\nAffiliation:
Member\, School of Mathematics\n\nGrassmann integrals are integrals over
functions on an exterior\nalgebra. In the 'Gaussian' case they can be expr
essed as a determinant\nor Pfaffian.\n\nThese integral arise in two dimens
ional Ising models and random\ntilings or dimers. \n\nWe review the integr
able 'Gaussian' case as well as the interacting\ncase and explain some con
jectures about universality and their proof.
DTSTART:20220309T213000Z
DTEND:20220309T223000Z
LAST-MODIFIED:20220309T141617Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-57
END:VEVENT
BEGIN:VEVENT
UID:66396530-6666-4431-a434-323937393738
DTSTAMP:20220518T204813Z
CREATED:20220106T155822Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220309T230000Z
DTEND:20220310T010000Z
LAST-MODIFIED:20220228T200932Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-232
END:VEVENT
BEGIN:VEVENT
UID:66663834-6265-4036-a661-353966356265
DTSTAMP:20220518T204813Z
CREATED:20211210T195418Z
DESCRIPTION:
DTSTART:20220310T150000Z
DTEND:20220310T170000Z
LAST-MODIFIED:20211210T195426Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:61383237-3265-4537-a634-663662356630
DTSTAMP:20220518T204813Z
CREATED:20211209T221809Z
DESCRIPTION:Topic: $H^{1/2-}$ solutions of the 3D Euler equations - Part 3:
transport errors\, pointwise estimates\, and future directions\n\nSpeaker
s: Matthew Novack\n\nAffiliation: Member\, School of Mathematics
DTSTART:20220310T190000Z
DTEND:20220310T210000Z
LAST-MODIFIED:20220308T195609Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-5
END:VEVENT
BEGIN:VEVENT
UID:33306565-3765-4334-b161-646439366236
DTSTAMP:20220518T204813Z
CREATED:20211209T220647Z
DESCRIPTION:Topic: No seminar
DTSTART:20220310T213000Z
DTEND:20220310T223000Z
LAST-MODIFIED:20220205T182832Z
LOCATION:
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-475
END:VEVENT
BEGIN:VEVENT
UID:36633238-6636-4831-b865-616238333561
DTSTAMP:20220518T204813Z
CREATED:20211209T235343Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220311T141500Z
DTEND:20220311T154500Z
LAST-MODIFIED:20220310T170654Z
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:32663566-3832-4533-a535-346434393434
DTSTAMP:20220518T204813Z
CREATED:20211027T174758Z
DESCRIPTION:Topic: Multi-group learning via Outcome Indistinguishability\n
\nSpeakers: Gal Yona\n\nAffiliation: Weizmann Institute\n\nAs machine lear
ning is widely deployed\, it is increasingly important\nto ensure that pre
dictors will perform well not only on\naverage (across the entire populati
on)\, but also on specific\nsocially salient subgroups. In this talk\, I w
ill present Outcome\nIndistinguishability (OI)\, a new learning paradigm t
hat draws on the\nconcept of computational indistinguishability. I will\nd
emonstrate that OI can be used to obtain guarantees that go beyond\nstanda
rd loss minimization\, such as simultaneous loss minimization\nacross subg
roups.
DTSTART:20220314T151500Z
DTEND:20220314T161500Z
LAST-MODIFIED:20220314T123428Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-504
END:VEVENT
BEGIN:VEVENT
UID:35303631-3137-4739-a430-323534643062
DTSTAMP:20220518T204813Z
CREATED:20211209T214622Z
DESCRIPTION:Topic: No seminar: Morse lectures
DTSTART:20220314T180000Z
DTEND:20220314T190000Z
LAST-MODIFIED:20211215T194059Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-28
END:VEVENT
BEGIN:VEVENT
UID:63333936-6337-4666-b662-643439383765
DTSTAMP:20220518T204813Z
CREATED:20211103T174124Z
DESCRIPTION:Topic: Spectral statistics of random matrices and random graphs
\n\nSpeakers: Horng-Tzer Yau\n\nAffiliation: Harvard University
DTSTART:20220314T180000Z
DTEND:20220314T190000Z
LAST-MODIFIED:20220314T124016Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-100
END:VEVENT
BEGIN:VEVENT
UID:64646138-6465-4431-b566-333962633265
DTSTAMP:20220518T204813Z
CREATED:20211210T002012Z
DESCRIPTION:Topic: The Quasimorphism Question\n\nSpeakers: Daniel Anthony C
ristofaro-Gardiner\n\nAffiliation: University of Maryland\n\nI will discus
s a recent work constructing quasimorphisms on the group\nof area and orie
ntation preserving homeomorphisms of the two-sphere. \nThe existence of th
ese quasimorphisms answers a question of Entov\,\nPolterovich\, and Py. A
s an immediate corollary\, we learn that the\ncommutator length is unbound
ed\, sharply contrasting a result of Tsuboi\nregarding the group of homeom
orphisms that do not preserve area. A\nkey role is played by “link spectr
al invariants”\, constructed\nusing a kind of quantitative variant of the
Heegaard Floer cohomology\nfor links.\n\nThis is joint work with Humilière
\, Mak\, Seyfaddini\, and Smith.
DTSTART:20220314T200000Z
DTEND:20220314T213000Z
LAST-MODIFIED:20220314T124418Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-184
END:VEVENT
BEGIN:VEVENT
UID:33326638-6336-4136-b733-666266643164
DTSTAMP:20220518T204813Z
CREATED:20211210T162332Z
DESCRIPTION:Topic: Localization schemes: A framework for proving mixing bou
nds for Markov chains\n\nSpeakers: Ronen Eldan\n\nAffiliation: von Neumann
Fellow\, School of Mathematics\n\nTwo recent and seemingly-unrelated tech
niques for proving mixing\nbounds for Markov chains are:\n\n(i) the framew
ork of Spectral Independence\, introduced by Anari\, Liu\nand Oveis Gharan
\, and its numerous extensions\, which have given rise\nto several breakth
roughs in the analysis of mixing times of discrete\nMarkov chains and\n\n(
ii) the Stochastic Localization technique which has proven useful in\nesta
blishing mixing and expansion bounds for both log-concave measures\nand fo
r measures on the discrete hypercube. \n\nWe will present a framework whic
h connects ideas from both techniques\nand by doing so unifies\, simplifie
s and extends those techniques\,\nproviding an approach that works in both
discrete and continuous\nsettings. In its center is the concept of a ``lo
calization scheme''\nwhich\, to every probability measure on some space $\
Omega$ (which will\nusually be either the discrete hypercube or $R^n$\, as
signs a\nmartingale of probability measures which ``localize'' in space as
time\nevolves. As it turns out\, to every such scheme corresponds a Mark
ov\nchain\, and many chains of interest appear naturally in this\nframewor
k. This viewpoint provides tools for deriving mixing bounds\nfor the dyna
mics through the analysis of the corresponding\nlocalization process. Gen
eralizations of concepts of Spectral\nIndependence and Entropic Independen
ce naturally arise from our\ndefinitions\, and in particular we will show
how to recover the main\ntheorems in the spectral and entropic independenc
e frameworks via\nsimple martingale arguments (completely bypassing the ne
ed to use the\ntheory of high-dimensional expanders). We demonstrate how
to apply\nour machinery towards simple proofs to many mixing bounds in the
\nrecent literature. In particular\, we will discuss how to use it to\nobt
ain the first $O(n \log n)$ bound for mixing time of the\nhardcore-model (
of arbitrary degree) in the tree-uniqueness regime\,\nunder Glauber dynami
cs and to prove a KL-divergence decay bound for\nlog-concave sampling via
the Restricted Gaussian Oracle\, which\nachieves optimal mixing under any
$\exp\left (n\right )$-warm start. \n\nBased on a joint work with Yuansi C
hen.
DTSTART:20220315T143000Z
DTEND:20220315T163000Z
LAST-MODIFIED:20220315T152301Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-502
END:VEVENT
BEGIN:VEVENT
UID:37316236-3862-4434-b566-666638363264
DTSTAMP:20220518T204813Z
CREATED:20211209T234446Z
DESCRIPTION:Topic: No Seminar: Morse Lectures
DTSTART:20220315T180000Z
DTEND:20220315T190000Z
LAST-MODIFIED:20220301T151740Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-18
END:VEVENT
BEGIN:VEVENT
UID:63323162-3538-4439-b534-316532323739
DTSTAMP:20220518T204813Z
CREATED:20211209T234859Z
DESCRIPTION:Topic: Asymptotic Bounded Cohomology and Uniform Stability of
high-rank lattices\n\nSpeakers: Bharatram Rangarajan\n\nAffiliation: Hebre
w University\n\nIn ongoing joint work with Glebsky\, Lubotzky\, and Monod\
, we construct\nan analog of bounded cohomology in an asymptotic setting i
n order to\nprove uniform stability of lattices in Lie groups (of rank at
least\ntwo) with respect to unitary groups equipped with a metric induced
by\na submultiplicative norm. The main idea is the notion of 'defect\ndim
inishing'\, which allows us to reduce stability as a homomorphism\nlifting
problem with an abelian kernel\, and relates to an asymptotic\nbounded co
homology $H_a^2$ whose vanishing implies uniform\nstability. The proof of
the vanishing of this $H_a^2$ for lattices\nin high-rank Lie groups will
be on the lines of the corresponding\nvanishing results for bounded cohomo
logy as discussed in Prof. Monod's\ntalk from last week.
DTSTART:20220316T150000Z
DTEND:20220316T161500Z
LAST-MODIFIED:20220316T132438Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-19
END:VEVENT
BEGIN:VEVENT
UID:62616534-6666-4038-a431-356261636366
DTSTAMP:20220518T204813Z
CREATED:20211103T174606Z
DESCRIPTION:Topic: Matrix Brownian motions and random spectral dynamics \n
\nSpeakers: Horng-Tzer Yau\n\nAffiliation: Harvard University
DTSTART:20220316T180000Z
DTEND:20220316T190000Z
LAST-MODIFIED:20220316T132607Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-102
END:VEVENT
BEGIN:VEVENT
UID:36323831-6232-4338-b630-303030383630
DTSTAMP:20220518T204813Z
CREATED:20211209T233809Z
DESCRIPTION:Topic: No Seminar: Morse Lectures
DTSTART:20220316T193000Z
DTEND:20220316T213000Z
LAST-MODIFIED:20220301T151930Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Geometry
URL:https://www.ias.edu/math/events/topics-geometry-6
END:VEVENT
BEGIN:VEVENT
UID:31306662-6666-4832-a534-306362316233
DTSTAMP:20220518T204813Z
CREATED:20220106T155835Z
DESCRIPTION:Topic: No Seminar\n\nAffiliation: Member\, School of Mathematic
s
DTSTART:20220316T220000Z
DTEND:20220317T000000Z
LAST-MODIFIED:20220311T111608Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-233
END:VEVENT
BEGIN:VEVENT
UID:61656539-3963-4339-a532-383562626661
DTSTAMP:20220518T204813Z
CREATED:20211210T195432Z
DESCRIPTION:
DTSTART:20220317T140000Z
DTEND:20220317T160000Z
LAST-MODIFIED:20211210T195439Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:66613730-3538-4536-b465-663362313938
DTSTAMP:20220518T204813Z
CREATED:20211209T221823Z
DESCRIPTION:Topic: No Seminar: Morse Lectures
DTSTART:20220317T180000Z
DTEND:20220317T200000Z
LAST-MODIFIED:20220301T152045Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-6
END:VEVENT
BEGIN:VEVENT
UID:61313437-3835-4434-a535-313066323761
DTSTAMP:20220518T204813Z
CREATED:20211103T174429Z
DESCRIPTION:Topic: Quantum diffusions and random band matrices\n\nSpeakers:
Horng-Tzer Yau\n\nAffiliation: Harvard University
DTSTART:20220317T180000Z
DTEND:20220317T190000Z
LAST-MODIFIED:20220317T123655Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-101
END:VEVENT
BEGIN:VEVENT
UID:32633838-3433-4731-b463-343661353036
DTSTAMP:20220518T204813Z
CREATED:20211209T220701Z
DESCRIPTION:Topic: Arithmetic statistics and graded Lie algebras\n\nSpeaker
s: Jef Laga\n\nAffiliation: University of Cambridge\n\nI will explain how
various results in arithmetic statistics by\nBhargava\, Gross\, Shankar an
d others on 2-Selmer groups of Jacobians of\n(hyper)elliptic curves can be
organised and reproved using the theory\nof graded Lie algebras\, followi
ng earlier work of Thorne. This gives a\nuniform proof of these results an
d yields new theorems for certain\nfamilies of non-hyperelliptic curves.
DTSTART:20220317T190000Z
DTEND:20220317T200000Z
LAST-MODIFIED:20220317T123847Z
LOCATION:Remote Access Only - see link below
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-476
END:VEVENT
BEGIN:VEVENT
UID:36653131-3630-4861-b930-376439336265
DTSTAMP:20220518T204813Z
CREATED:20211209T235357Z
DESCRIPTION:Topic: Dimers\, networks\, and integrable systems\n\nSpeakers:
Anton Izosimov\n\nAffiliation: The University of Arizona\n\nI will review
two combinatorial constructions of integrable systems:\nGoncharov-Kenyon c
onstruction based on counting perfect matchings in\nbipartite graphs\, and
Gekhtman-Shapiro-Tabachnikov-Vainshtein\nconstruction based on counting p
aths in networks. After that I will\noutline my proof of equivalence of t
hose constructions. The talk is\nbased on my recent preprint arXiv:2108.0
4975.
DTSTART:20220318T131500Z
DTEND:20220318T144500Z
LAST-MODIFIED:20220318T130620Z
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:34333261-6534-4232-a131-383032326134
DTSTAMP:20220518T204813Z
CREATED:20211027T175334Z
DESCRIPTION:Topic: Online Bipartite Matching and Adwords\n\nSpeakers: Vijay
V. Vazirani\n\nAffiliation: University of California Irvine\n\nOver the l
ast three decades\, the online bipartite matching (OBM)\nproblem has emerg
ed as a central problem in the area of Online\nAlgorithms. Perhaps even mo
re important is its role in the area of\nMatching-Based Market Design. Th
e resurgence of this area\, with the\nrevolutions of the Internet and mobi
le computing\, has opened up novel\,\npath- breaking applications\, and OB
M has emerged as its paradigmatic\nalgorithmic problem. In a 1990 joint p
aper with Richard Karp and\nUmesh Vazirani\, we gave an optimal algorithm\
, called RANKING\, for OBM\,\nachieving a competitive ratio of (1 – 1/e)\;
however\, its analysis\nwas difficult to comprehend. Over the years\, sev
eral researchers\nsimplified the analysis. We will start by presenting a
“textbook\nquality” proof of RANKING. Its simplicity raises the possibilit
y of\nextending RANKING all the way to a generalization of OBM called the
\nadwords problem. This problem is both notoriously difficult and very\ns
ignificant\, the latter because of its role in the AdWords marketplace\nof
Google. We will show how far this endeavor has gone and what\nremains.
We will also provide a broad overview of the area of\nMatching-Based Marke
t Design and pinpoint the role of OBM.\n\nBased on: https://arxiv.org/pdf/
2107.10777.pdf
DTSTART:20220321T151500Z
DTEND:20220321T161500Z
LAST-MODIFIED:20220321T132517Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-505
END:VEVENT
BEGIN:VEVENT
UID:37346239-6464-4132-a137-333864343433
DTSTAMP:20220518T204813Z
CREATED:20211209T214636Z
DESCRIPTION:Topic: On the unpredictability of fluid motions\n\nSpeakers: Da
llas Albritton\n\nAffiliation: Member\, School of Mathematics\n\nThe funda
mental equations of fluid dynamics exhibit non-uniqueness. Is\nthis a math
ematical fluke\, or do the equations fail to uniquely\npredict the motion
of fluids? In this colloquium\, we present recent\nmathematical and physic
al progress toward understanding this question.
DTSTART:20220321T180000Z
DTEND:20220321T190000Z
LAST-MODIFIED:20220321T132635Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-29
END:VEVENT
BEGIN:VEVENT
UID:64306234-6332-4162-b733-343931373763
DTSTAMP:20220518T204813Z
CREATED:20211210T002026Z
DESCRIPTION:Topic: Representations are sheaves' for Legendrian 2-weaves\n\n
Speakers: Kevin Sackel\n\nAffiliation: Stony Brook University\n\n \n\nGive
n a trivalent plane graph embedded in the Euclidean plane (up to\nisotopy)
\, Treumann and Zaslow constructed and studied a certain\nassociated Legen
drian surface embedded in standard contact $R^{5}$\,\nnowadays referred to
as a Legendrian 2-weave. Using gradient flow\ntrees\, Casals and Murphy c
omputed its Legendrian contact dg-algebra\nwith commutative coefficients (
i.e. working over the group ring of the\nfirst homology group). We extend
their computation to the\nnon-commutative setting (i.e. working over the g
roup ring of the\nfundamental group). For these Legendrian 2-weaves\, we f
urther verify\nthe well-known conjecture that the moduli space of represen
tations of\nthis fully non-commutative version of the Legendrian contact\n
dg-algebra are in bijective correspondence with a certain moduli space\nof
sheaves.
DTSTART:20220321T200000Z
DTEND:20220321T213000Z
LAST-MODIFIED:20220318T194546Z
LOCATION:Fine 314 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-185
END:VEVENT
BEGIN:VEVENT
UID:35306238-6432-4132-b936-633138633562
DTSTAMP:20220518T204813Z
CREATED:20211210T162345Z
DESCRIPTION:Topic: Localization schemes: A framework for proving mixing bou
nds for Markov chains\n\nSpeakers: Ronen Eldan\n\nAffiliation: von Newmann
Fellow\, School of Mathematics\n\nTwo recent and seemingly-unrelated tech
niques for proving mixing\nbounds for Markov chains are:\n\n(i) the framew
ork of Spectral Independence\, introduced by Anari\, Liu\nand Oveis Gharan
\, and its numerous extensions\, which have given rise\nto several breakth
roughs in the analysis of mixing times of discrete\nMarkov chains and\n\n(
ii) the Stochastic Localization technique which has proven useful in\nesta
blishing mixing and expansion bounds for both log-concave measures\nand fo
r measures on the discrete hypercube.\n\nWe will present a framework which
connects ideas from both techniques\nand by doing so unifies\, simplifies
and extends those techniques\,\nproviding an approach that works in both
discrete and continuous\nsettings. In its center is the concept of a ``loc
alization scheme''\nwhich\, to every probability measure on some space $\O
mega$ (which will\nusually be either the discrete hypercube or $R^n$\, ass
igns a\nmartingale of probability measures which ``localize'' in space as
time\nevolves. As it turns out\, to every such scheme corresponds a Marko
v\nchain\, and many chains of interest appear naturally in this\nframework
. This viewpoint provides tools for deriving mixing bounds\nfor the dynam
ics through the analysis of the corresponding\nlocalization process. Gene
ralizations of concepts of Spectral\nIndependence and Entropic Independenc
e naturally arise from our\ndefinitions\, and in particular we will show h
ow to recover the main\ntheorems in the spectral and entropic independence
frameworks via\nsimple martingale arguments (completely bypassing the nee
d to use the\ntheory of high-dimensional expanders). We demonstrate how t
o apply\nour machinery towards simple proofs to many mixing bounds in the
\nrecent literature. In particular\, we will discuss how to use it to\nobt
ain the first $O(n \log n)$ bound for mixing time of the\nhardcore-model (
of arbitrary degree) in the tree-uniqueness regime\,\nunder Glauber dynami
cs and to prove a KL-divergence decay bound for\nlog-concave sampling via
the Restricted Gaussian Oracle\, which\nachieves optimal mixing under any
$\exp\left (n\right )$-warm start.\n\nBased on a joint work with Yuansi Ch
en.
DTSTART:20220322T143000Z
DTEND:20220322T163000Z
LAST-MODIFIED:20220322T133540Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-503
END:VEVENT
BEGIN:VEVENT
UID:61326363-6133-4436-b537-623236343563
DTSTAMP:20220518T204813Z
CREATED:20211209T234459Z
DESCRIPTION:Topic: Level Sets of Weakly Lipschitz Functions\n\nSpeakers: Bo
bby Wilson\n\nAffiliation: University of Washington\n\nWe will discuss the
regularity properties and size of generic level\nsets of functions that s
atisfy weak local Lipschitz conditions.
DTSTART:20220322T180000Z
DTEND:20220322T190000Z
LAST-MODIFIED:20220322T200822Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-19
END:VEVENT
BEGIN:VEVENT
UID:39333364-3335-4962-b835-333363363162
DTSTAMP:20220518T204813Z
CREATED:20211209T234912Z
DESCRIPTION:Topic: Canonical forms for free group automorphisms\n\nSpeakers
: Jean Pierre Mutanguha\n\nAffiliation: Member\, School of Mathematics\n\n
The Nielsen-Thurston theory of surface homeomorphism can be thought of\nas
a surface analogue to the Jordan Canonical Form. I will discuss\nmy prog
ress in developing a similar decomposition for free group\nautomorphisms.
(Un)Fortunately\, free group automorphisms can have\narbitrarily complicat
ed behaviour. This forms a significant barrier\nto translating specific a
rguments that worked for surfaces into the\nfree group setting\; neverthel
ess\, the overall ideas/strategies do\ntranslate!
DTSTART:20220323T150000Z
DTEND:20220323T161500Z
LAST-MODIFIED:20220323T125034Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-20
END:VEVENT
BEGIN:VEVENT
UID:31326361-6632-4164-b066-653033376631
DTSTAMP:20220518T204813Z
CREATED:20211209T233823Z
DESCRIPTION:Topic: Alternative Constructions Of Weak Solutions Of The Euler
Equations\n\nSpeakers: Alexander Shnirelman\n\nAffiliation: Member\, Scho
ol of Mathematics\n\nShnirelman-Abstract.pdf [/media/206626]
DTSTART:20220323T180000Z
DTEND:20220323T200000Z
LAST-MODIFIED:20220228T151424Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Geometry
URL:https://www.ias.edu/math/events/topics-geometry-7
END:VEVENT
BEGIN:VEVENT
UID:35356332-6630-4539-a362-633035336636
DTSTAMP:20220518T204813Z
CREATED:20220106T155848Z
DESCRIPTION:Topic: The Weyl groupoid\n\nSpeakers: Shifra Reif\n\nAffiliatio
n: Member\, School of Mathematics\n\nSymmetric polynomials are often chara
cterized as characters of modules\nover Lie algebras. Such characters are
symmetric as they are invariant\nunder the action of the Weyl group. In th
e 'super case'\, this group\ngeneralizes to the Weyl groupoid. We shall di
scuss this notion and its\nrelation to supersymmetric functions.
DTSTART:20220323T220000Z
DTEND:20220324T000000Z
LAST-MODIFIED:20220315T144229Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-234
END:VEVENT
BEGIN:VEVENT
UID:32346662-6366-4535-b331-656533303138
DTSTAMP:20220518T204813Z
CREATED:20211210T195445Z
DESCRIPTION:
DTSTART:20220324T140000Z
DTEND:20220324T160000Z
LAST-MODIFIED:20211210T195452Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:64333135-3237-4832-a435-623034333161
DTSTAMP:20220518T204813Z
CREATED:20211209T221837Z
DESCRIPTION:Topic: Alternative Constructions of Weak Solutions of the Euler
Equations - hybrid discussion\n\nSpeakers: Alexander Shnirelman\n\nAffili
ation: Member\, School of Mathematics\n\nShnirelman-Abstract.pdf [/media/2
06626]\n\n
DTSTART:20220324T180000Z
DTEND:20220324T200000Z
LAST-MODIFIED:20220301T131143Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-7
END:VEVENT
BEGIN:VEVENT
UID:61323231-3961-4464-a337-663965353266
DTSTAMP:20220518T204813Z
CREATED:20211209T220717Z
DESCRIPTION:Topic: On the BSD conjecture for certain families of abelian va
rieties with rational torsion.\n\nSpeakers: Emmanuel Lecouturier\n\nAffili
ation: Member\, School of Mathematics\n\nLet $N$ and $p$ $\geq 5$ be prime
s such that $p$ divides $N-1$. In his\nlandmark paper on the Eisenstein id
eal\, Mazur proved the $p$-part of\nthe BSD conjecture for the $p$-Eisenst
ein quotient $J^{(p)}$ of\n$J_0(N)$ over $\mathbf{Q}$. Using recent result
s and techniques of the\nwork of Venkatesh and Sharifi on the Sharifi conj
ecture\, we prove\nunconditionally a weak form of the BSD conjecture for $
J^{(p)}$ over a\nquadratic field $K$ (which can be real or imaginary). Thi
s includes\nresults in positive analytic rank\, as the analytic rank of $J
^{(p)}$\nover $K$ can be $\geq 2$ for well-chosen $K$.\n\nThis is joint wo
rk with Jun Wang (MCM Beijing).
DTSTART:20220324T203000Z
DTEND:20220324T213000Z
LAST-MODIFIED:20220324T123932Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-477
END:VEVENT
BEGIN:VEVENT
UID:64353438-3663-4466-b231-306236396634
DTSTAMP:20220518T204813Z
CREATED:20211209T235410Z
DESCRIPTION:Topic: Three 20-min research talks\n\nSpeakers: Benoît Joly\, M
arco Castronovo\, Agniva Roy\n\nAffiliation: Ruhr-Universität Bochum\; Col
umbia University\, Georgia Institute of Technology\n\nBENOÎT JOLY (RUHR-UN
IVERSITÄT BOCHUM)\, _Barcodes for Hamiltonian\nhomeomorphisms of surfaces_
\n\nIn this talk\, we will study the Floer Homology barcodes from a\ndynam
ical point of view. Our motivation comes from recent results in\nsymplecti
c topology using barcodes to obtain dynamical results. We\nwill give the i
deas of new constructions of barcodes for Hamiltonian\nhomeomorphisms of s
urfaces using Le Calvez's transverse foliation\ntheory. The strategy consi
sts in copying the construction of the Floer\nand Morse Homologies using d
ynamical tools like Le Calvez's\nfoliations.\n\nMARCO CASTRONOVO (COLUMBIA
UNIVERSITY)\, _Polyhedral Liouville\ndomains_\n\nI will explain the const
ruction of a new class of Liouville domains\nthat live in a complex torus
of arbitrary dimension\, whose boundary\ndynamics encodes information abou
t the singularities of a toric\ncompactification. The primary motivation f
or this work is to find a\nsymplectic interpretation of some curious Laure
nt polynomials that\nappear in mirror symmetry for Fano manifolds\; it als
o potentially\nopens a path to bound symplectic capacities of polarized pr
ojective\nvarieties from below.\n\nAGNIVA ROY (GEORGIA INSTITUTE OF TECHNO
LOGY)\, _Constructions of High\nDimensional Legendrians and Isotopies_\n\n
I will talk about an ongoing project that explores the construction of\nhi
gh dimensional Legendrian spheres from supporting open books and\ncontact
structures. The input is a Lagrangian disk filling of a\nLegendrian knot i
n the binding. We try to understand the relationship\nbetween different co
nstructions from the same input\, and suggest\nparallels\, in the $S^{2n+1
}$ case\, to a construction defined by Ekholm\nfor $\mathbb{R}^{2n+1}$.
DTSTART:20220325T131500Z
DTEND:20220325T144500Z
LAST-MODIFIED:20220325T124717Z
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:30616164-6462-4362-b336-666163313965
DTSTAMP:20220518T204813Z
CREATED:20211027T175828Z
DESCRIPTION:Topic: Linear cover time is exponentially unlikely\n\nSpeakers:
Quentin Dubroff\n\nAffiliation: Rutgers University\n\nProving a 2009 conj
ecture of Itai Benjamini\, we show: For any C\,\nthere is a > 0 such that
for any simple random walk on an n-vertex\ngraph G\, the probability that
the first Cn steps of the walk hit every\nvertex of G is at most exp[-an]
. A first ingredient of the proof is\na similar statement for Markov chai
ns in which all transition\nprobabilities are less than a suitable functio
n of C. Joint with\nJeff Kahn.
DTSTART:20220328T151500Z
DTEND:20220328T161500Z
LAST-MODIFIED:20220328T122310Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-506
END:VEVENT
BEGIN:VEVENT
UID:63663734-6631-4932-b463-626364363463
DTSTAMP:20220518T204813Z
CREATED:20220309T183709Z
DESCRIPTION:Topic: Knot Theory and Machine Learning\n\nSpeakers: Andras Juh
asz\n\nAffiliation: University of Oxford\n\nKnot Theory and Machine Learni
ng\n\nAndras Juhasz\, University of Oxford \n\nThe signature of a knot K i
n the 3-sphere is a classical invariant\nthat gives a lower bound on the
genera of compact oriented surfaces\nin the 4-ball with boundary K. We say
that K is hyperbolic if its\ncomplement admits a complete\, finite volume
hyperbolic metric. I will\nexplain how we have used methods from machine
learning to find an\nunexpected relationship between the signature and the
cusp shape of a\nhyperbolic knot. This is joint work with Alex Davies\, M
arc Lackenby\,\nand Nenad Tomasev.
DTSTART:20220328T180000Z
DTEND:20220328T190000Z
LAST-MODIFIED:20220406T145331Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop
END:VEVENT
BEGIN:VEVENT
UID:66383137-3461-4533-b464-363166396664
DTSTAMP:20220518T204813Z
CREATED:20220309T185743Z
DESCRIPTION:Topic: Combinatorial Invariance: a Case Study of Pure Math / Ma
chine Learning Interaction\n\nSpeakers: Geordie Williamson\n\nAffiliation
: The University of Sydney \n\nGeordie Williamson\, University of Sydney\n
\nCombinatorial Invariance: a Case Study of Pure Math / Machine \nLearning
Interaction\n\nThe combinatorial invariance conjecture is a fascinating c
onjecture in\nRepresentation Theory. Basically it says that certain import
ant\npolynomials ('Kazhdan-Lusztig polynomials') are determined in a very
\nnon-trivial way by a directed graph. About 2 years ago\, I began\nworkin
g on this problem with DeepMind. Our goal\, also discussed in the\ntalks o
f Marc and Andras\, was to try to discover whether modern\nMachine Learnin
g techniques are helpful in approaching problems in\nPure Mathematics. I w
ill outline how the Machine Learning models work\,\nhow successful they we
re and (by far the trickiest part) how we went\nabout extracting new mathe
matics from these models. The result is a\nformula which sheds light on th
e combinatorial invariance conjecture.\nThis is joint work with the DeepMi
nd team: Charles Blundell\, Lars\nBuesing\, Alex Davies and Petar Veličkov
ić.
DTSTART:20220328T200000Z
DTEND:20220328T210000Z
LAST-MODIFIED:20220406T144831Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop-1
END:VEVENT
BEGIN:VEVENT
UID:35313536-3265-4161-a664-653334616137
DTSTAMP:20220518T204813Z
CREATED:20211210T162400Z
DESCRIPTION:Topic: The absorption method\, and an application to an old Ram
sey problem\n\nSpeakers: Matija Bucic\n\nAffiliation: Veblen Research Inst
ructor\, School of Mathematics\n\nThe absorption method is a very simple y
et surprisingly powerful idea\ncoming from extremal combinatorics which al
lows one to convert\nasymptotic results into exact ones. It has produced a
remarkable\nnumber of success stories in recent years with perhaps the mo
st\nprominent being a proof of the existence of designs. In the first part
\nof the talk\, we will introduce the basic idea behind the method and\nth
en illustrate it by showing how it can be used to prove a modified\nversio
n of a classical theorem of Hajnal and Szemeredi on equitable\ncolorings o
f graphs. In the second part of the talk\, we will see an\napplication of
this result to Ramsey theory. Namely\, we will use it to\nsettle a questio
n of Burr\, Erdos\, and Spencer from 1975 concerning\nRamsey numbers of so
-called copy graphs\, one of the precious few\nclasses of graphs for which
we know the Ramsey number precisely.\n\nBased on joint work with Benny Su
dakov.
DTSTART:20220329T143000Z
DTEND:20220329T163000Z
LAST-MODIFIED:20220329T121303Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-504
END:VEVENT
BEGIN:VEVENT
UID:34646366-3766-4663-b961-313462393234
DTSTAMP:20220518T204813Z
CREATED:20211209T234512Z
DESCRIPTION:Topic: No seminar
DTSTART:20220329T180000Z
DTEND:20220329T190000Z
LAST-MODIFIED:20220124T223320Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-20
END:VEVENT
BEGIN:VEVENT
UID:36633137-6632-4330-b736-353563396661
DTSTAMP:20220518T204813Z
CREATED:20220309T184817Z
DESCRIPTION:Topic: What is Machine Learning Good For?\n\nSpeakers: Alex Dav
ies\n\nAffiliation: University of Cambridge \n\nAlex Davies\, University o
f Cambridge\n\nWhat is Machine Learning Good For?\n\nMachine learning has
seen remarkable success in many areas in the past\ndecade\, but this inevi
tably leads to hype that obscures what it can\nand cannot do. In this talk
we will address this by covering how\nmachine learning problems are gener
ally framed\, what properties of\nproblems makes them hard/easy to address
with machine learning and\nexamples of how machine learning was used to m
ake advances in\ndifferent fields. These examples will include recent work
such as our\nfirst publications in mathematics\, AlphaGo and AlphaFold. T
his will\nprovide an overview that requires no prior experience with machi
ne\nlearning\, but will directly address the current frontier of machine\n
learning.
DTSTART:20220329T180000Z
DTEND:20220329T190000Z
LAST-MODIFIED:20220406T144953Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop-0
END:VEVENT
BEGIN:VEVENT
UID:39306536-6163-4062-b633-616661333835
DTSTAMP:20220518T204813Z
CREATED:20220309T190449Z
DESCRIPTION:Topic: AlphaZero and Matrix Multiplication\n\nSpeakers: Alhusse
in Fawzi\n\nAffiliation: EPFL\n\nAlhussein Fawzi\, EPFL\n\nAlphaZero and Ma
trix Multiplication
DTSTART:20220329T200000Z
DTEND:20220329T210000Z
LAST-MODIFIED:20220329T121525Z
LOCATION:Simonyi 101
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop-3
END:VEVENT
BEGIN:VEVENT
UID:33653964-3266-4035-b732-313737663766
DTSTAMP:20220518T204813Z
CREATED:20211209T234926Z
DESCRIPTION:Topic: Growth of Bianchi modular forms\n\nSpeakers: Weibo Fu\n
\nAffiliation: Princeton University\n\nIn this talk\, I will establish a s
harp bound on the growth of cuspidal\nBianchi modular forms. By the Eichle
r-Shimura isomorphism\, we actually\ngive a sharp bound of the second coho
mology of a hyperbolic three\nmanifold (Bianchi manifold) with local syste
m arising from the\nrepresentation $\sim ^{k} \otimes \overline \sim{^k}$
of $SL_2(C)$. I\nwill explain how a p-adic algebraic method is used for de
riving our\nresult.
DTSTART:20220330T150000Z
DTEND:20220330T161500Z
LAST-MODIFIED:20220330T124400Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-21
END:VEVENT
BEGIN:VEVENT
UID:37353635-3432-4930-b530-353630666261
DTSTAMP:20220518T204813Z
CREATED:20220309T185421Z
DESCRIPTION:Topic: The Signature and Natural Slope of Hyperbolic Knots\n\nS
peakers: Marc Lackenby\n\nAffiliation: University of Oxford\n\nMarc Lacken
by\, University of Oxford\n\nThe Signature and Natural Slope of Hyperbolic
Knots\n\nAndras Juhasz has explained in his talk how machine learning was
used\nto discover a previously unknown relationship between invariants in
\nknot theory. This relationship is a connection between a classical\nknot
invariant (the signature) and a new knot invariant (the natural\nslope) d
erived from hyperbolic geometry. In my talk\, I will explain\nhow this con
jecture was formulated\, verified in millions of cases\,\nand then eventua
lly disproved\, and how two more refined conjectures\nwere proved.
DTSTART:20220330T180000Z
DTEND:20220330T190000Z
LAST-MODIFIED:20220406T145041Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop-2
END:VEVENT
BEGIN:VEVENT
UID:37663634-6533-4437-b062-643335623831
DTSTAMP:20220518T204813Z
CREATED:20211209T233836Z
DESCRIPTION:Topic: No seminar
DTSTART:20220330T180000Z
DTEND:20220330T200000Z
LAST-MODIFIED:20220124T223425Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Geometry
URL:https://www.ias.edu/math/events/topics-geometry-8
END:VEVENT
BEGIN:VEVENT
UID:32356466-3436-4530-a531-383334656439
DTSTAMP:20220518T204813Z
CREATED:20220315T191303Z
DESCRIPTION:Topic: Large Genus Asymptotics in Flat Surfaces and Hyperbolic
Geodesics\n\nSpeakers: Amol Aggarwal\n\nAffiliation: Visiting Professor\,
School of Mathematics\n\nIn this talk we will describe the behaviors of fl
at surfaces and\ngeodesics on hyperbolic surfaces\, as their genera tend t
o infinity. We\nfirst discuss enumerative results that count the number of
such\nsurfaces or geodesics (which can be viewed as volumes of particular
\nmoduli spaces) in the large genus limit\, and then we will explain\nhow
a randomly sampled such object looks. Prior works of Mirzakhani\n(for hype
rbolic geodesics) and Delecroix-Goujard-Zograf-Zorich (for\nflat surfaces)
express these topological counts in terms of more\nalgebraic quantities\,
namely\, certain intersection numbers. Thus\,\nthe large genus limits of
these counts will rely on a new\nasymptotic result on the behaviors of the
se intersection numbers at\nhigh genus\, which might be of independent int
erest.
DTSTART:20220330T203000Z
DTEND:20220330T213000Z
LAST-MODIFIED:20220330T124817Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-58
END:VEVENT
BEGIN:VEVENT
UID:62333261-3736-4165-b865-346430653434
DTSTAMP:20220518T204813Z
CREATED:20220106T155902Z
DESCRIPTION:Topic: Statistical properties of the character table of the sym
metric group\n\nSpeakers: Sarah Peluse\n\nAffiliation: Veblen Research Ins
tructor\, School of Mathematics\n\nIn 2017\, Miller conjectured\, based on
computational evidence\, that for\nany fixed prime $p$ the density of ent
ries in the character table of\n$S_n$ that are divisible by $p$ goes to $1
$ as $n$ goes to infinity. \nK. Soundararajan and I proved this conjecture
\, but there are still\nmany statistical questions about the character val
ues of the symmetric\ngroup where basically no progress has been made. I'
ll talk about a\nfew of them\, including the problem of determining the as
ymptotic\ndensity of zeros in the character table of $S_n$\, where it is n
ot even\nclear from computational data what one should expect.
DTSTART:20220330T220000Z
DTEND:20220331T000000Z
LAST-MODIFIED:20220328T183244Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-235
END:VEVENT
BEGIN:VEVENT
UID:36343936-3666-4963-b934-633865363837
DTSTAMP:20220518T204813Z
CREATED:20211210T195458Z
DESCRIPTION:
DTSTART:20220331T140000Z
DTEND:20220331T160000Z
LAST-MODIFIED:20211210T195506Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:32353165-3166-4234-b639-343037373231
DTSTAMP:20220518T204813Z
CREATED:20211209T221851Z
DESCRIPTION:Topic: No seminar
DTSTART:20220331T180000Z
DTEND:20220331T200000Z
LAST-MODIFIED:20220124T223458Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-8
END:VEVENT
BEGIN:VEVENT
UID:61356261-3864-4038-b235-366164343636
DTSTAMP:20220518T204813Z
CREATED:20211209T220730Z
DESCRIPTION:Topic: Some Progress on Categorical Local Langlands\n\nSpeakers
: Linus Hamann\n\nAffiliation: Princeton University\n\nRecently\, Fargues
and Scholze attached a semi-simple L-parameter to\nany smooth irreducible
representation of a p-adic reductive group\,\nrealizing the local Langland
s correspondence as a geometric Langlands\ncorrespondence over the Fargues
-Fontaine curve. They conjectured that\nthere should exist an analogue of
the geometric Langlands conjecture\nin this setting\, known as the categor
ical local Langlands\ncorrespondence. Concretely\, this conjecture transla
tes to the belief\nthat certain Shtuka spaces\, generalizing the Lubin-Tat
e and Drinfeld\ntowers appearing in the work of Harris-Taylor\, should hav
e cohomology\ndictated by the semi-simple L-parameter that they construct.
In this\ntalk\, we will explain how one can make some progress on this\nc
onjecture by showing the Fargues-Scholze correspondence is compatible\nwit
h known instances of the local Langlands correspondence through\nglobal me
thods\, and then using this compatibility together with\ntechniques from g
eometric Langlands to fully describe the cohomology\nof these Shtuka space
s in certain cases.
DTSTART:20220331T203000Z
DTEND:20220331T213000Z
LAST-MODIFIED:20220331T133551Z
LOCATION:Remote Access and Fine 214
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-478
END:VEVENT
BEGIN:VEVENT
UID:61386235-6264-4566-a466-646362376138
DTSTAMP:20220518T204813Z
CREATED:20211209T235422Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220401T131500Z
DTEND:20220401T144500Z
LAST-MODIFIED:20220325T133548Z
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:39623936-3363-4661-b534-396439326530
DTSTAMP:20220518T204813Z
CREATED:20220301T162236Z
DESCRIPTION:Topic: Fireside Chat\n\nSpeakers: Andras Juhasz\, Alex Davies\,
Marc Lackenby\, Alhussein Fawzi\, Geordie Williamson\n\nAffiliation: Unive
rsity of Oxford\, University of Cambridge\, The University of Sydney \, EP
FL\n\nAndras Juhasz\nAlex Davies\nMarc Lackenby\nAlhussein Fawzi\nGeordie
Williamson\n\nFireside Chat\n\nIn December last year\, a cover article of
Nature described a\ncollaboration between a team from DeepMind and several
top\nmathematicians showing how tools from machine learning can be used t
o\naid in the mathematical process. In this fireside chat\, moderated by\n
Camillo de Lellis\, we will discuss with some of the authors their\nexperi
ence behind the paper: what it was like collaborating across\ndisciplines\
, where machine learning techniques turned out to be useful\nand where the
y still fall short\, and why the team is excited to\ncontinue exploring th
is area.
DTSTART:20220401T180000Z
DTEND:20220401T190000Z
LAST-MODIFIED:20220330T194930Z
LOCATION:Simonyi 101
SUMMARY:DeepMind Workshop
URL:https://www.ias.edu/math/events/deepmind-workshop-4
END:VEVENT
BEGIN:VEVENT
UID:33613562-3136-4638-b034-366639343433
DTSTAMP:20220518T204813Z
CREATED:20220304T135444Z
DESCRIPTION:Topic: Singularity formation in incompressible fluids \n\nSpeak
ers: Tarek Elgindi\n\nAffiliation: Duke University\n\nAbstract: I will giv
e a review of recent progress on finite-time\nsingularity formation in inc
ompressible fluid models.
DTSTART:20220404T130000Z
DTEND:20220404T140000Z
LAST-MODIFIED:20220404T122925Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-0
END:VEVENT
BEGIN:VEVENT
UID:65313063-3438-4564-b366-363366653539
DTSTAMP:20220518T204813Z
CREATED:20220304T140411Z
DESCRIPTION:Topic: From the Monge transportation problem to Einstein's grav
itation through Euler's Hydrodynamics\n\nSpeakers: Yann Brenier\n\nAffilia
tion: CNRS-Laboratoire de Mathematiques d'Orsay\, Universite Paris-Saclay
\n\nAbstract: The quadratic Monge optimal transportation problem can be\nr
evisited in Euler's language of Hydrodynamics as was explained by\nJean-Da
vid Benamou and the speaker about 20 years ago. It turns out\nthat Einstei
n's theory of gravitation\, at least in vacuum\, can be\ntreated in a very
similar way as a kind of quadratic matrix-valued\noptimal transportation
problem.
DTSTART:20220404T143000Z
DTEND:20220404T153000Z
LAST-MODIFIED:20220304T205353Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-1
END:VEVENT
BEGIN:VEVENT
UID:63396563-3266-4134-b932-343064623331
DTSTAMP:20220518T204813Z
CREATED:20211027T180023Z
DESCRIPTION:Topic: Many Nodal Domains in Random Regular Graphs\n\nSpeakers:
Nikhil Srivastava\n\nAffiliation: University of California\, Berkeley\n\n
A nodal domain of a Laplacian eigenvector of a graph is a maximal\nconnect
ed component where it does not change sign. Sparse random\nregular graphs
have been proposed as discrete toy models of 'quantum\nchaos'\, and it ha
s accordingly been conjectured by Y. Elon and\nexperimentally observed by
Dekel\, Lee\, and Linial that the high energy\neigenvectors of such graphs
have many nodal domains.\n\nWe prove superconstant (in fact\, nearly line
ar in the number of\nvertices) lower bounds on the number of nodal domains
of sparse random\nregular graphs\, for sufficiently large Laplacian eigen
values. The\nproof combines two different notions of eigenvector delocaliz
ation in\nrandom matrix theory as well as tools from graph limits and\ncom
binatorics. This is in contrast to what is known for dense\nErdos-Renyi gr
aphs\, which have been shown to have only two nodal\ndomains with high pro
bability.\n\nJoint work with Shirshendu Ganguly\, Theo McKenzie\, and Sidh
anth\nMohanty.
DTSTART:20220404T151500Z
DTEND:20220404T161500Z
LAST-MODIFIED:20220404T123202Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-507
END:VEVENT
BEGIN:VEVENT
UID:35326162-3438-4261-b466-656431643837
DTSTAMP:20220518T204813Z
CREATED:20211209T214703Z
DESCRIPTION:Topic: No seminar
DTSTART:20220404T180000Z
DTEND:20220404T190000Z
LAST-MODIFIED:20220214T191213Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-31
END:VEVENT
BEGIN:VEVENT
UID:32383933-3033-4064-a232-626263383530
DTSTAMP:20220518T204813Z
CREATED:20220304T143330Z
DESCRIPTION:Topic: A detailed characterization of the hypersurface of pre-s
hocks for the Euler equations\n\nSpeakers: Steve Shkoller\n\nAffiliation:
University of California\, Davis\n\nAbstract. I will describe a new geomet
ric approach for the shock\nformation problem for the Euler equations. A
complete description\nof the solution along the hypersurface of first sin
gularities or\npreshocks will be given.
DTSTART:20220404T180000Z
DTEND:20220404T190000Z
LAST-MODIFIED:20220404T123348Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-2
END:VEVENT
BEGIN:VEVENT
UID:62663632-3630-4537-b561-623335373539
DTSTAMP:20220518T204813Z
CREATED:20220304T145448Z
DESCRIPTION:Topic: Local Dissipation of Energy for Continuous Incompressibl
e Euler Flows\n\nSpeakers: Philip Isett\n\nAffiliation: University of Texa
s\, Austin\n\nAbstract: I will discuss the construction of continuous so
lutions\nto the incompressible Euler equations that exhibit local dissipat
ion\nof energy and the surrounding motivations. A significant open\nquest
ion\, which represents a strong form of the Onsager conjecture\, is\nwheth
er such solutions exist that locally dissipate energy while\nhaving the ma
ximal possible regularity of being 1/3-Hölder\ncontinuous.
DTSTART:20220404T200000Z
DTEND:20220404T210000Z
LAST-MODIFIED:20220404T123558Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-3
END:VEVENT
BEGIN:VEVENT
UID:34653663-3530-4165-b438-373062393135
DTSTAMP:20220518T204813Z
CREATED:20211210T002053Z
DESCRIPTION:Topic: Rank inequalities for the Heegaard Floer homology of bra
nched covers\n\nSpeakers: Kristen Hendricks\n\nAffiliation: Rutgers Univer
sity\n\nWe discuss the history of applying localization results in Lagrang
ian\nFloer homology to Heegaard Floer homology to obtain rank inequalities
\nfor various versions of the Heegaard Floer homology of branched double\n
covers. We then use recent refinements on the symplectic side to\nestabli
sh an inequality between the dimensions of the Heegaard Floer\nhomologies
of any double cover between three-manifolds branched along\na nulhomologou
s link. We discuss the relationship with the L-space\nconjecture and (tim
e permitting) mention some other topological\napplications.\n\nThis is joi
nt work with R. Lipshitz and T. Lidman.
DTSTART:20220404T200000Z
DTEND:20220404T213000Z
LAST-MODIFIED:20220404T123735Z
LOCATION:Fine 314 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-187
END:VEVENT
BEGIN:VEVENT
UID:33323261-6631-4565-a562-643835613466
DTSTAMP:20220518T204813Z
CREATED:20220304T145811Z
DESCRIPTION:Topic: Small scale formations in the incompressible porous medi
a equation\n\nSpeakers: Yao Yao\n\nAffiliation: National University of Sin
gapore\n\nAbstract: The incompressible porous media (IPM) equation describ
es the\nevolution of density transported by an incompressible velocity fie
ld\ngiven by Darcy’s law. Here the velocity field is related to the\ndensi
ty via a singular integral operator\, which is analogous to the 2D\nSQG eq
uation. The question of global regularity vs finite-time blow-up\nremains
open for smooth initial data\, although numerical evidence\nsuggests that
small scale formation can happen as time goes to\ninfinity. In this talk\,
I will discuss rigorous examples of small\nscale formations in the IPM eq
uation: we construct solutions to IPM\nthat exhibit infinite-in-time growt
h of Sobolev norms\, provided that\nthey remain globally smooth in time. A
s an application\, this allows us\nto obtain nonlinear instability of cert
ain stratified steady states of\nIPM. This is a joint work with Alexander
Kiselev.
DTSTART:20220405T130000Z
DTEND:20220405T140000Z
LAST-MODIFIED:20220405T123018Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-4
END:VEVENT
BEGIN:VEVENT
UID:64383866-6231-4234-a335-383165623564
DTSTAMP:20220518T204813Z
CREATED:20211210T162413Z
DESCRIPTION:Topic: A magnetic interpretation of the nodal count on graphs\n
\nSpeakers: Lior Alon\n\nAffiliation: Member\, School of Mathematics\n\nTh
e study of nodal sets\, i.e. zero sets of eigenfunctions\, on\ngeometric o
bjects can be traced back to De Vinci\, Galileo\, Hook\, and\nChladni. Tod
ay it is a central subject of spectral geometry. Sturm\n(1836) showed that
the n-th eigenfunction of the Laplacian on a\nfinite interval has n-1 zer
os\, i.e. nodal points. Fiedler (1975)\nproved a similar result for the di
screte Laplacian of finite tree\ngraphs. However\, if a graph is not a tre
e\, the nodal count may deviate\nfrom n-1. We call this deviation the noda
l surplus. Berkolaiko (2007)\nshowed that the nodal surplus is bounded bet
ween 0 and the first Betti\nnumber of the graph. In 2013 Berkolaiko provid
ed a magnetic\ninterpretation to the nodal surplus. The nodal surplus of
an\neigenvector is equal to the Morse index of its eigenvalue under\nmagne
tic (or twisting) small perturbations of the Laplacian matrix.\nIn this ta
lk I will describe a different proof for this result\, that\nwas given by
Colin de Verdiere (2013)\, and hold for any real symmetric\nmatrix with no
n-positive off-diagonal entries. I will also explain how\nthis naturally e
xtends to any real symmetric matrix\, by modifying the\nnodal count. In th
e last part of the talk\, I will present some\nnumerical experiments sugge
sting that the nodal surplus of large\nrandom graphs should have universal
Gaussian distribution. The talk\nshould be approachable without any need
ed background.
DTSTART:20220405T143000Z
DTEND:20220405T163000Z
LAST-MODIFIED:20220405T123337Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-505
END:VEVENT
BEGIN:VEVENT
UID:65623538-3463-4363-a631-363262663961
DTSTAMP:20220518T204813Z
CREATED:20220304T150128Z
DESCRIPTION:Topic: Properties of mixing BV vector fields\n\nSpeakers: Stefa
no Bianchini\n\nAffiliation: SISSA\n\nAbstract: We consider the density pr
operties of divergence-free vector\nfields $b \in L^1([0\,1]\,\BV([0\,1]^2
))$ which are ergodic/weakly\nmixing/strongly mixing: this means that thei
r Regular Lagrangian Flow\n$X_t$ is an ergodic/weakly mixing/strongly mixi
ng measure preserving\nmap when evaluated at $t=1$. Our main result is tha
t there exists a\n$G_\delta$-set $\mathcal U \subset L^1_{t\,x}([0\,1]^3)$
made of\ndivergence free vector fields such that\n1. The map $\Phi$ assoc
iating $b$ with its RLF $X_t$ can be extended\nas a\ncontinuous function t
o the $G_\delta$-set $\mathcal{U}$\;\n2. Ergodic vector fields $b$ are a r
esidual $G_\delta$-set in\n$\mathcal{U}$\;\n3. Weakly mixing vector fields
$b$ are a residual $G_\delta$-set in\n$\mathcal{U}$\;\n4. Strongly mixing
vector fields $b$ are a first category set in\n$\mathcal{U}$\;\n5. Expone
ntially (fast) mixing vector fields are a dense subset of\n$\mathcal{U}$.
\n The proof of these results is based on the density of BV vector\nfie
lds such that $X_{t=1}$ is a permutation of subsquares\, and\nsuitable per
turbations of this flow to achieve the desired\nergodic/mixing behavior. T
hese approximation results have an interest\nof their own. \n A discuss
ion on the extension of these results to $d \geq 3$ is\nalso presented.
DTSTART:20220405T143000Z
DTEND:20220405T153000Z
LAST-MODIFIED:20220405T123312Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-5
END:VEVENT
BEGIN:VEVENT
UID:36653162-3733-4364-b336-393634633132
DTSTAMP:20220518T204813Z
CREATED:20220304T153135Z
DESCRIPTION:Topic: Pressure and intermittency\n\nSpeakers: Peter Constantin
\n\nAffiliation: Princeton University\n\nAbstract: I will discuss some que
stions related to turbulence.
DTSTART:20220405T180000Z
DTEND:20220405T190000Z
LAST-MODIFIED:20220405T123540Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-6
END:VEVENT
BEGIN:VEVENT
UID:37303263-3966-4131-a335-333364316539
DTSTAMP:20220518T204813Z
CREATED:20211209T234525Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220405T180000Z
DTEND:20220405T190000Z
LAST-MODIFIED:20220321T154309Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-17
END:VEVENT
BEGIN:VEVENT
UID:63663132-3666-4264-a431-326462323963
DTSTAMP:20220518T204813Z
CREATED:20220304T153444Z
DESCRIPTION:Topic: D'Alembert Principle and weak solutions of the Euler equ
ations\n\nSpeakers: Alexander Shnirelman\n\nAffiliation: Concordia Univers
ity\n\nAbstract: Let M be a smooth manifold in an Euclidean space\; consid
er\nthe motion of a material point on M in absence of friction. The\nD'Ale
mbert Principle says that the acceleration vector is orthogonal\nto the ta
ngent space to M\, and this fact defines the point trajectory\nprovided th
e initial position and velocity are given. The flow of an\nideal incompres
sible fluid can be regarded as a motion of a material\npoint on the set D
of volume-preserving diffeomorphisms of M embedded\ninto an (infinite-dime
nsional) Euclidean space. However\, the set D is\nnot a smooth manifold\,
and it is hardly a manifold in any reasonable\nsense. We can define a subs
titute of a tangent space to D at every\npoint\, but these planes form a n
on-smooth and non-integrable\ndistribution which makes the use of the D'Al
embert Principle far from\nobvious. In this talk I propose a way to use th
is principle to define\nthe trajectory\, i.e. the fluid flow. The kinetic
energy of the fluid\nshould not be constant\; in fact\, it may decrease wh
ich is\ncharacteristic for turbulent motions. However\, the accurate\nform
ulation of our method requires the tools of Nonstandard Analysis.
DTSTART:20220405T200000Z
DTEND:20220405T210000Z
LAST-MODIFIED:20220405T123712Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-7
END:VEVENT
BEGIN:VEVENT
UID:63323665-3964-4962-b536-396131393633
DTSTAMP:20220518T204813Z
CREATED:20220304T153709Z
DESCRIPTION:Topic: Generic global existence for the modified SQG equation\n
\nSpeakers: Javier Gomez-Serrano\n\nAffiliation: Brown University/Universi
ty of Barcelona\n\nAbstract: In this talk we will present a construction o
f global\nexistence of small solutions of the modified SQG equations\, clo
se to\nthe disk. The proof uses KAM theory and a Nash-Moser argument\, and
\ndoes not involve any external parameters. We moreover prove that this\np
henomenon is generic: most solutions satisfy it. Joint work with Alex\nIon
escu and Jaemin Park.
DTSTART:20220406T130000Z
DTEND:20220406T140000Z
LAST-MODIFIED:20220406T145714Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-8
END:VEVENT
BEGIN:VEVENT
UID:38363735-3037-4333-a234-353964363337
DTSTAMP:20220518T204813Z
CREATED:20220304T161008Z
DESCRIPTION:Topic: On the sticky particle solutions to the pressureless Eul
er system in general dimension\n\nSpeakers: Sara Daneri\n\nAffiliation: Gr
an Sasso Institute\n\nAbstract: In this talk we consider the pressureless
Euler system in\ndimension greater than or equal to two. Several works hav
e been\ndevoted to the search of solutions which satisfy the following\nad
hesion or sticky particle principle: if two particles of the fluid\ndo not
interact\, then they move freely keeping constant velocity\,\notherwise t
hey join with velocity given by the balance of momentum.\nFor initial data
given by a finite number of particles pointing each\nin a given direction
\, in general dimension\, it is easy to show that a\nglobal sticky particl
e solution always exists and is unique. In\ndimension one\, sticky particl
e solutions have been proved to exist and\nbe unique. In dimension greate
r than one\, it was shown that as soon\nas the initial data is not concent
rated on a finite number of\nparticles\, it might lead to non-existence or
non-uniqueness of sticky\nparticle solutions.\n\nIn collaboration with S.
Bianchini\, we show that even though the\nsticky particle solutions are
not well-posed for every measure-type\ninitial data\, there exists a come
ager set of initial data in the weak\ntopology giving rise to a unique sti
cky particle solution. Moreover\,\nfor any of these initial data the stick
y particle solution is unique\nalso in the larger class of dissipative so
lutions (where trajectories\nare allowed to cross) and is given by a trivi
al free flow concentrated\non trajectories which do not intersect. In part
icular for such initial\ndata there is only one dissipative solution and i
ts dissipation is\nequal to zero. Thus\, for a comeager set of initial dat
a the problem of\nfinding sticky particle solutions is well-posed\, but th
e dynamics that\none sees is trivial. Our notion of dissipative solution
is\nlagrangian and therefore general enough to include weak and\nmeasure-v
alued solutions.
DTSTART:20220406T143000Z
DTEND:20220406T153000Z
LAST-MODIFIED:20220406T154707Z
LOCATION:
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-9
END:VEVENT
BEGIN:VEVENT
UID:39343066-6537-4636-a633-363730643766
DTSTAMP:20220518T204813Z
CREATED:20211209T234940Z
DESCRIPTION:Topic: No Seminar
DTSTART:20220406T150000Z
DTEND:20220406T161500Z
LAST-MODIFIED:20220322T121332Z
LOCATION:
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-22
END:VEVENT
BEGIN:VEVENT
UID:66633838-6236-4535-a139-313635396332
DTSTAMP:20220518T204813Z
CREATED:20220224T133346Z
DESCRIPTION:Topic: On the distribution of the Hodge locus\n\nSpeakers: Emma
nuel Ullmo\n\nAffiliation: Institut des Hautes Études Scientifiques\n\nThe
lecture will discuss a joint work with Gregorio Baldi and Bruno\nKlingler
. Given a polarized Z-VHS over a complex\, smooth\nquasi-projective varie
ty S\, we describe some properties of the Hodge\nlocus\, a countable union
of algebraic subvarieties of S where\nexceptional Hodge tensors appear\,
by a result of Cattani\, Deligne and\nKaplan. We prove the geometric part
of the Zilber-Pink conjecture in\nthis context: the maximal atypical part
of the Hodge locus of positive\nperiod demension arise in a finite number
of families. In level at\nleast 3\, we show that the typical Hodge is emp
ty and therefore the\npositive dimensional part of the Hodge locus is alge
braic. For\ninstance the Hodge locus of positive period dimension of the
universal\nfamily of degree d smooth hypersurfaces in the projective space
of\ndimension n+1 is algebraic. We also prove that if the typical Hodge
\nlocus is not empty\, then the Hodge locus is analytically dense in S. \n
If times permits\, we will explain how this result can be combined with\nt
he work of Lawrence-Venkatesh in the direction of the Bombieri-Lang\nconje
cture.
DTSTART:20220406T190000Z
DTEND:20220406T200000Z
LAST-MODIFIED:20220406T150113Z
LOCATION:Simonyi Hall 101
SUMMARY:Special Number Theory Seminar
URL:https://www.ias.edu/math/events/special-number-theory-seminar-9
END:VEVENT
BEGIN:VEVENT
UID:63383764-6266-4866-b732-376231383733
DTSTAMP:20220518T204813Z
CREATED:20220304T161400Z
DESCRIPTION:Topic: The quartic integrability and long time existence of ste
ep water waves in 2D\n\nSpeakers: Sijue Wu\n\nAffiliation: University of M
ichigan\n\nAbstract: It is known since the work of Dyachenko & Zakharov
that\nfor the weakly nonlinear 2d infinite depth water waves\, there are n
o\n3-wave interactions and all of the 4-wave interaction coefficients\nvan
ish on the non-trivial resonant manifold. In this talk I will\ndiscuss thi
s partial integrability from a different point of view. We\nconstruct\, di
rectly in the physical space\, a sequence of energy\nfunctionals Ej(t) whi
ch are explicit in the Riemann mapping variable\nand involve material deri
vatives of order j of the solutions for the\n2d water wave equation\, so t
hat ddtEj(t) is quintic or higher order.\nWe show that if some scaling inv
ariant norm\, and a norm involving one\nspatial derivative above the scali
ng of the initial data are of size\nno more than ε\, then the lifespan of
the solution for the 2d water\nwave equation is at least of order O(ε−3)\,
and the solution remains\nas regular as the initial data during this time
. If only the scaling\ninvariant norm of the data is of size ε\, then the
lifespan of the\nsolution is at least of order O(ε−5/2). Our long time exi
stence\nresults do not impose size restrictions on the slope of the initia
l\ninterface and the magnitude of the initial velocity\, they allow the\ni
nterface to have arbitrary large steepnesses and initial velocities\nto ha
ve arbitrary large magnitudes.
DTSTART:20220407T130000Z
DTEND:20220407T140000Z
LAST-MODIFIED:20220408T165120Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-10
END:VEVENT
BEGIN:VEVENT
UID:33666131-6265-4763-b031-643162373966
DTSTAMP:20220518T204813Z
CREATED:20211210T195512Z
DESCRIPTION:
DTSTART:20220407T140000Z
DTEND:20220407T160000Z
LAST-MODIFIED:20220322T123127Z
LOCATION:West Building Lecture Hall
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:66616263-3235-4232-b330-383166373530
DTSTAMP:20220518T204813Z
CREATED:20220304T161942Z
DESCRIPTION:Topic: Self-similar gravitational collapse\n\nSpeakers: Juhi Ja
ng\n\nAffiliation: University of Southern California\n\nAbstract: We discu
ss recent mathematical constructions of self-similar\ngravitational collap
se for Newtonian stars governed by the\nEuler-Poisson system\, known as La
rson-Penston solutions for the\nisothermal stars and Yahil solutions for p
olytropic stars\, and thereby\nshow the existence of smooth initial data t
hat lead to finite time\ncollapse\, characterized by the blow-up of the st
ar density. If time\npermits\, we will also discuss the relativistic Larso
n-Penston\nsolutions and formation of naked singularities for the Einstein
-Euler\nsystem.
DTSTART:20220407T143000Z
DTEND:20220407T153000Z
LAST-MODIFIED:20220408T165148Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-11
END:VEVENT
BEGIN:VEVENT
UID:61386134-3338-4632-a164-383433613137
DTSTAMP:20220518T204813Z
CREATED:20220304T162614Z
DESCRIPTION:Topic: Non-Newtonian fluids and convex integration\n\nSpeakers:
Stefano Modena\n\nAffiliation: TU Darmstadt\n\nAbstract: The viscosity of
a fluid is usually a constant\, independent\nof the stress. There are how
ever in nature several examples of fluids\n(ice\, molten lava\, blood\, ce
rtain polymers\, some salt solutions)\nwhere viscosity changes under appli
ed forces. Such fluids are called\nnon-Newtonian. I will focus on a simple
model for such fluids\, the\n“power law” model (Ladyzhenskaya\, 1966): it
is known that such\nmodel is well-posed in the “subcritical' regime and i
t has energy\nsolutions above the 'compactness threshold”. In a recent joi
nt work\nwith J. Burczak and L. Székelyhidi\, we show that a picture dual
to\nthe above one holds: the power-law model is ill posed below the\n'com
pactness threshold' and it has many (very) weak solutions in the\n'supercr
itical regime'.
DTSTART:20220407T180000Z
DTEND:20220407T190000Z
LAST-MODIFIED:20220408T165215Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-12
END:VEVENT
BEGIN:VEVENT
UID:35373039-6363-4537-a635-663861633564
DTSTAMP:20220518T204813Z
CREATED:20220304T162939Z
DESCRIPTION:Topic: On the competition between advection and vortex stretchi
ng \n\nSpeakers: Jiajie Chen\n\nAffiliation: California Institute of Tech
nology\n\nAbstract: Whether the 3D incompressible Euler equations can deve
lop a\nfinite-time singularity from smooth initial data is an outstanding
\nopen problem. The presence of vortex stretching is the primary source\no
f a potential finite-time singularity. However\, to construct a\nsingulari
ty\, the effect of the advection is one of the obstacles. In\nthis talk\,
we will first show some examples in incompressible fluids\nabout the compe
tition between advection and vortex stretching. Then we\nwill discuss the
De Gregorio (DG) model on a circle\, which adds a\nnatural advection term
to the Constantin-Lax-Majda model to model this\ncompetition. The regulari
ty of the DG model on a circle remains an\nopen problem. We consider odd i
nitial data with a specific sign\nproperty\, which provides the most promi
sing candidate for a potential\nblowup solution up to now. For this class
of initial data\, the\nregularity of the initial data determines the compe
tition between\nadvection and vortex stretching. We show that the solution
exists\nglobally for C^1 initial data. On the other hand\, for any $0<\al
pha <\n1$\, we construct a finite time blowup solution from some C^{\alpha
}\ninitial data.
DTSTART:20220407T200000Z
DTEND:20220407T210000Z
LAST-MODIFIED:20220408T165240Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-13
END:VEVENT
BEGIN:VEVENT
UID:34653231-3865-4931-a338-616266373666
DTSTAMP:20220518T204813Z
CREATED:20211209T220743Z
DESCRIPTION:Topic: The average size of 3-torsion in class groups of 2-exten
sions\n\nSpeakers: Robert Lemke Oliver\n\nAffiliation: Tufts University\n
\nWe determine the average size of the 3-torsion in class groups of\n$G$-e
xtensions of a number field when $G$ is any transitive 2-group\ncontaining
a transposition\, for example\, $D4$. It follows from the\nCohen--Lenstr
a--Martinet heuristics that the average size of the\n$p$-torsion in class
groups of $G$-extensions of a number field is\nconjecturally finite for an
y $G$ and most $p$. Previously this\nconjecture had only been proven in t
he cases of $G=S_{2}$ with $p=3$\nand $G=S_{3}$ with $p=2$. We also show
that the average 3-torsion in\na certain relative class group for these $G
$-extensions is as\npredicted by Cohen and Martinet\, proving new cases of
the\nCohen--Lenstra--Martinet heuristics. Our new method also works for
\nmany other permutation groups $G$ that are not 2-groups.\n\nThis is join
t work with Jiuya Wang and Melanie Matchett Wood.
DTSTART:20220407T203000Z
DTEND:20220407T213000Z
LAST-MODIFIED:20220407T173115Z
LOCATION:Remote Access and Fine 214
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-479
END:VEVENT
BEGIN:VEVENT
UID:65636532-3363-4139-b965-623635386136
DTSTAMP:20220518T204813Z
CREATED:20220304T163400Z
DESCRIPTION:Topic: Non-uniqueness of Leray solutions of the forced Navier-S
tokes equations \n\nSpeakers: Maria Colombo\n\nAffiliation: EPFL\n\nAbstra
ct:In his seminal work\, Leray demonstrated the existence of\nglobal weak
solutions\, with nonincreasing energy\, to the Navier-Stokes\nequations in
three dimensions. In this talk we exhibit two distinct\nLeray solutions w
ith zero initial velocity and identical body force. \n\nThe starting point
of our construction is Vishik's answer to another\nlong-standing problem
in fluid dynamics\, namely whether the Yudovich\nuniqueness result for the
2D Euler system can be extended to the class\nof $L^p$-integrable vortici
ty. Building on Vishik's work\, we construct\na `background' solution whic
h is unstable for the 3D Navier-Stokes\ndynamics in self-similar variables
\; the second solution from the same\ninitial datum is a trajectory on the
unstable manifold associated to\nthe background solution\, in accordance
with the predictions of Jia and\nŠverák.
DTSTART:20220408T130000Z
DTEND:20220408T140000Z
LAST-MODIFIED:20220411T144042Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-14
END:VEVENT
BEGIN:VEVENT
UID:61316230-6335-4332-b963-346433353232
DTSTAMP:20220518T204813Z
CREATED:20211209T235436Z
DESCRIPTION:Topic: Lagrangians\, symplectomorphisms and zeroes of moment ma
ps\n\nSpeakers: Yann Rollin\n\nAffiliation: Nantes University\n\nI will pr
esent two constructions of Kähler manifolds\, endowed with\nHamiltonian to
rus actions of infinite dimension. In the first example\,\nzeroes of the m
oment map are related to isotropic maps from a surfaces\nin $\mathbb{R}^{2
n}$. In the second example\, which is actually a\nhyperKähler moment map\,
the zeroes are related to symplectic maps of\nthe torus $T^{4}$. The corr
esponding modified moment map flows have\nshort time existence. Polyhedral
analogues of these constructions can\nbe used to investigate piecewise li
near symplectic geometry.
DTSTART:20220408T131500Z
DTEND:20220408T144500Z
LAST-MODIFIED:20220411T144429Z
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:64643864-6136-4266-a233-366238616130
DTSTAMP:20220518T204813Z
CREATED:20220304T163751Z
DESCRIPTION:Topic: An Intermittent Onsager Theorem\n\nSpeakers: Vlad Vicol
\n\nAffiliation: New York University\n\nFor any regularity exponent $\beta
<\frac 12$\, we construct\nnon-conservative weak solutions to the 3D incom
pressible Euler\nequations in the class $C^0_t (H^{\beta} \cap\nL^{\frac{1
}{(1-2\beta)}})$. By interpolation\, such solutions belong\nto $C^0_tB^{s
}_{3\,\infty}$ for $s$ approaching $\frac 13$ as $\beta$\napproaches $\fra
c 12$. Hence this result provides _a new proof of\nthe flexible side of t
he Onsager conjecture_\, which is independent\nfrom that of Isett. Of equ
al importance is that the intermittent\nnature of our solutions matches th
at of turbulent flows\, which are\nobserved to possess an $L^2$-based regu
larity index exceeding $\frac\n13$. The proof employs an intermittent con
vex integration scheme for\nthe 3D incompressible Euler equations. We emp
loy a scheme with\nhigher-order Reynolds stresses\, which are corrected vi
a a\ncombinatorial placement of intermittent pipe flows of optimal relativ
e\nintermittency.
DTSTART:20220408T143000Z
DTEND:20220408T153000Z
LAST-MODIFIED:20220411T144729Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Workshop on Recent developments in incompressible fluid dynamics
URL:https://www.ias.edu/math/events/workshop-recent-developments-incompress
ible-fluid-dynamics-15
END:VEVENT
BEGIN:VEVENT
UID:30303631-3038-4139-a464-663632633962
DTSTAMP:20220518T204813Z
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
BEGIN:VEVENT
UID:35326663-3430-4466-b664-643033343033
DTSTAMP:20220518T204813Z
CREATED:20211027T180248Z
DESCRIPTION:Topic: The Long Arm of Theoretical Computer Science: A Case Stu
dy in Blockchains/Web3\n\nSpeakers: Tim Roughgarden\n\nAffiliation: Columb
ia University\n\nBlockchains that support a general contract layer (e.g.\,
Ethereum)\nexport the functionality of a general-purpose\, ownerless\, an
d\nopen-access computer that can enforce property rights for digital\ndata
. How is such functionality implemented? Using a lot of\nextremely cool
computer science ideas! And like everywhere else in\ncomputer science\, t
heory plays an undeniable role in the understanding\nand advancement of th
is technology. In this talk\, I'll highlight\nthree examples (among many)
:\n\n * Possibility and impossibility results for permissionless consensus
\n(i.e.\, implementing an 'ownerless' computer).\n * Incentive-compatible
transaction fee mechanism design (part of\nimplementing an 'open-access' c
omputer).\n * Succinct proofs of computation (for boosting the computer's
power\nby piggybacking on off-chain computation).\n\nParts of this talk ar
e based on joint work with Andrew Lewis-Pye.
DTSTART:20220411T151500Z
DTEND:20220411T161500Z
LAST-MODIFIED:20220411T211907Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-508
END:VEVENT
BEGIN:VEVENT
UID:65613663-3761-4964-b236-313639363839
DTSTAMP:20220518T204813Z
CREATED:20220406T155221Z
DESCRIPTION:Topic: Integral Gromov-Witten invariants and complex derived or
bifold bordism\n\nSpeakers: Shaoyun Bai\n\nAffiliation: Princeton Universi
ty\n\nBecause of the presence of non-trivial automorphisms of stable maps\
,\nGromov-Witten invariants of a general symplectic manifold are usually\n
rational-valued. Realizing a proposal of Fukaya-Ono back in the 1990s\,\nI
will explain how to construct integer-valued Gromov-Witten type\ninvarian
ts by virtually counting stable maps with trivial automorphism\ngroups aft
er a suitable abstract perturbation of the Cauchy-Riemann\nequation. I wil
l also discuss how this idea would fit into a program\ninitiated by Abouza
id-McLean-Smith and Pardon on finding refinements\nof Gromov-Witten invari
ants with values in generalized cohomology\ntheory.\n\nThis is based on jo
int work with Guangbo Xu.
DTSTART:20220411T200000Z
DTEND:20220411T213000Z
LAST-MODIFIED:20220406T155855Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-189
END:VEVENT
BEGIN:VEVENT
UID:38303864-6465-4933-a330-343134336230
DTSTAMP:20220518T204813Z
CREATED:20211210T162428Z
DESCRIPTION:Topic: Multi-group fairness\, loss minimization and indistingui
shability\n\nSpeakers: Parikshit Gopalan\n\nAffiliation: VMware Research\n
\nTraining a predictor to minimize a loss function fixed in advance is\nth
e dominant paradigm in machine learning. However\, loss minimization\nby i
tself might not guarantee desiderata like fairness and accuracy\nthat one
could reasonably expect from a predictor. To remedy this\,\nmulti-group fa
irness notions such as multiaccuracy and\nmulticalibration have been propo
sed\, which require the predictor to\nshare certain statistical properties
of the _ground truth_\, even\nwhen conditioned on a rich family of subgro
ups. There is no explicit\nattempt at loss minimization.\n\nIn this talk\,
we will describe some recently discovered connections\nbetween loss minim
ization and multi-group fairness. We will explore\nsettings where one can
lead to the other\, and other settings where\nthis is unlikely. We will se
e how the quest for more efficiently\ncomputable notions of multigroup fai
rness leads to natural analogies\nwith the complexity theoretic notions of
indistinguishability and\nderandomization\, where the goal is for our pre
dictor to\nreplicate certain desirable properties of the ground truth.\n\n
In doing so\, we will introduce some novel notions such as that of an\nomn
ipredictor\, whose predictions are simultaneously 'optimal' for a\nlarge c
lass of loss functions and hypothesis\, and low-degree\nmulticalibration\,
which interpolates smoothly between multiaccuracy\nand multicalibration\,
and can be viewed as an analog of the notion of\nbounded independence in
pseudorandomness. \n\nThis is based on joint works with Adam Kalai\, Mic
hael Kim\, Omer\nReingold\, Vatsal Sharan\, Mihir Singhal\, Udi Wieder and
Shengjia\nZhao.
DTSTART:20220412T143000Z
DTEND:20220412T163000Z
LAST-MODIFIED:20220412T122426Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-506
END:VEVENT
BEGIN:VEVENT
UID:38356261-6338-4361-a562-646135666337
DTSTAMP:20220518T204813Z
CREATED:20220330T115916Z
DESCRIPTION:Topic: Arithmetic and Dynamics on Varieties of Markoff Type\n\n
Speakers: Alexander Gamburd\n\nAffiliation: The City University of New Yor
k\n\nThe Markoff equation $x^{2} + y^{2} + z^{2}=3xyz$\, which arose in hi
s\nspectacular thesis (1879)\, is ubiquitous in a tremendous variety of\nc
ontexts. After reviewing some of these\, we will discuss joint work\nwith
Bourgain and Sarnak establishing forms of strong approximation\non variet
ies of Markoff type\, as well as ensuing\nimplications\, diophantine and d
ynamical.
DTSTART:20220413T150000Z
DTEND:20220413T161500Z
LAST-MODIFIED:20220413T184736Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Arithmetic Groups
URL:https://www.ias.edu/math/events/arithmetic-groups-24
END:VEVENT
BEGIN:VEVENT
UID:64366562-6566-4064-b663-353337656461
DTSTAMP:20220518T204813Z
CREATED:20220322T132701Z
DESCRIPTION:Topic: Invariant Gibbs measures for the cubic nonlinear wave eq
uation\n\nSpeakers: Bjoern Bringmann\n\nAffiliation: Member\, School of Ma
thematics\n\nIn this talk\, we prove the invariance of the Gibbs measure f
or the\nthree-dimensional cubic nonlinear wave equation\, which is also kn
own\nas the hyperbolic $\Phi ^{4} _{3}$-model.\n\nIn the first half of thi
s talk\, we illustrate our main objects and\nquestions through Hamiltonian
ODEs\, which serve as a toy-model. We\nalso connect our theorem with clas
sical and recent developments in\nconstructive QFT\, dispersive PDEs\, and
stochastic PDEs.\n\nIn the second half of this talk\, we first discuss th
e construction and\nproperties of the Gibbs measure. Then\, we turn to the
most difficult\naspect of our argument\, which is the probabilistic well-
posedness of\nthe cubic nonlinear wave equation. This part combines ingred
ients from\ndispersive equations\, harmonic analysis\, and probability the
ory.\n\nThis is joint work with _Y. Deng\, A. Nahmod\, and H. Yue_.
DTSTART:20220413T203000Z
DTEND:20220413T213000Z
LAST-MODIFIED:20220413T122822Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-59
END:VEVENT
BEGIN:VEVENT
UID:64386430-3437-4438-a462-653436623366
DTSTAMP:20220518T204813Z
CREATED:20220106T155914Z
DESCRIPTION:Topic: How Dark Matter Could Be Measured in the Solar System\n
\nSpeakers: Edward Belbruno\n\nAffiliation: Yeshiva University\; Princeton
University\n\nhttps://www.nasa.gov/feature/how-dark-matter-could-be-measu
red-in-the-solar-system\n[https://www.nasa.gov/feature/how-dark-matter-cou
ld-be-measured-in-the-solar-system]\n\n
DTSTART:20220413T220000Z
DTEND:20220414T000000Z
LAST-MODIFIED:20220408T174751Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-236
END:VEVENT
BEGIN:VEVENT
UID:39383263-6133-4338-b835-306533613335
DTSTAMP:20220518T204813Z
CREATED:20220408T181056Z
DESCRIPTION:
DTSTART:20220414T140000Z
DTEND:20220414T160000Z
LAST-MODIFIED:20220408T181137Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:63396432-3061-4563-a530-626635356364
DTSTAMP:20220518T204813Z
CREATED:20211209T220758Z
DESCRIPTION:Topic: Non-vanishing of twists of $\mathrm{GL}(4)$ $L$-function
s\n\nSpeakers: Liyang Yang\n\nAffiliation: Princeton University\n\nI will
discuss recent work with Maksym Radziwill in which we show that\nfor any f
ixed tempered cuspidal representation $\pi$ of\n$\mathrm{GL}(4)$ over the
rationals\, there exist infinitely many\nprimitive characters $\chi$ such
that the twisted $L$-function\n$L(s\,\pi\times\chi)$ is non-vanishing at t
he central point $s=1/2$. I\nwill focus on the proof\, which involves a mi
x of ideas.
DTSTART:20220414T203000Z
DTEND:20220414T213000Z
LAST-MODIFIED:20220414T120911Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-480
END:VEVENT
BEGIN:VEVENT
UID:63373533-3533-4036-b964-663339313338
DTSTAMP:20220518T204813Z
CREATED:20211209T235449Z
DESCRIPTION:Topic: Singular plane curves and stable nonsqueezing phenomena
\n\nSpeakers: Kyler Siegel\n\nAffiliation: University of Southern Californ
ia\n\nThe existence of rational plane curves of a given degree with\npresc
ribed singularities is a subtle and active area in algebraic\ngeometry. Th
is problem turns out to be closely related to difficult\nenumerative probl
ems which arise in symplectic field theory\, which in\nturn play a central
role in the theory of high dimensional symplectic\nembeddings. In this ta
lk\, I will discuss various perspectives on these\nenumerative problems an
d present a new closed formula for relevant\ncurve counts as a sum over de
corated trees.
DTSTART:20220415T131500Z
DTEND:20220415T144500Z
LAST-MODIFIED:20220416T155049Z
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-81
END:VEVENT
BEGIN:VEVENT
UID:32316465-3633-4164-a138-336430373832
DTSTAMP:20220518T204813Z
CREATED:20220215T133709Z
DESCRIPTION:Topic: Set Chasing\, with an application to online shortest pat
h \n\nSpeakers: Sébastien Bubeck\n\nAffiliation: Microsoft Research Lab -
Redmond\n\nSince the late 19th century\, mathematicians have realized the
\nimportance and generality of selection problems: given a collection of\n
sets\, select an element in each set\, possibly in a ``nice” way. Of\npar
ticular importance in computer science is the scenario where the\nground s
et is a metric space\, in which case it is natural to ask for\n*LIPSCHITZ*
selection (with Hausdorff distance between sets). In this\ntalk\, I will
describe a far-reaching extension of this classical\nLipschitz selection p
roblem to an *ONLINE* setting\, where sets are\nstreaming to the selector.
I will show how Riemannian gradient\ndescent (aka mirror descent) can be
used to approach this type of\nproblems. I will illustrate the power of
the framework by solving a\nlong-standing problem in online shortest path
known as layered graph\ntraversal (introduced by Papadimitriou and Yannaka
kis in 1989).
DTSTART:20220418T151500Z
DTEND:20220418T164500Z
LAST-MODIFIED:20220418T141645Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-509
END:VEVENT
BEGIN:VEVENT
UID:34613762-3161-4432-b036-313038343366
DTSTAMP:20220518T204813Z
CREATED:20220321T191141Z
DESCRIPTION:Topic: Non-Orientable Lagrangian Fillings of Legendrian Knots\n
\nSpeakers: Joshua Sabloff\n\nAffiliation: Member\, School of Mathematics
\n\nMost work on Lagrangian fillings of Legendrian knots to date has\nconc
entrated on orientable fillings\, but instead I will present some\nfirst s
teps in constructions of and (especially) obstructions to the\nexistence o
f (decomposable exact) non-orientable Lagrangian fillings.\n\nThis is join
t work in progress with Linyi Chen\, Grant Crider-Philips\,\nBraeden Reino
so\, and Natalie Yao.
DTSTART:20220418T200000Z
DTEND:20220418T213000Z
LAST-MODIFIED:20220418T142421Z
LOCATION:Fine 314 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-188
END:VEVENT
BEGIN:VEVENT
UID:38323237-3930-4533-b535-653562363763
DTSTAMP:20220518T204813Z
CREATED:20220317T121834Z
DESCRIPTION:Topic: A Tutorial on Gaussian Elimination\n\nSpeakers: John C U
rschel\n\nAffiliation: Member\, School of Mathematics\n\nGaussian eliminat
ion is one of the oldest and most well-known\nalgorithms for solving a lin
ear system. In this talk\, we give a basic\,\nyet thorough overview of the
algorithm\, its variants\, and standard\nerror and conditioning estimates
. In addition\, a number of more modern\nresults and open problems regardi
ng conditioning will be discussed.
DTSTART:20220419T143000Z
DTEND:20220419T163000Z
LAST-MODIFIED:20220419T120654Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-508
END:VEVENT
BEGIN:VEVENT
UID:61393964-3764-4662-b864-316339653537
DTSTAMP:20220518T204813Z
CREATED:20220414T122224Z
DESCRIPTION:Topic: Singularity formation for reduced models of fluid equati
ons\n\nSpeakers: Mimi Dai\n\nAffiliation: von Neumann Fellow\, School of M
athematics\n\nThe non-resistive electron magnetohydrodynamics (MHD) has so
me\npeculiar connection with the Euler equation. Some one-dimensional\nred
uced models are suggested as an attempt to build intuition toward\nunderst
anding the nonlinear structure and dynamics of the electron\nMHD. In parti
cular\, finite time singularities may occur for the\nreduced models in som
e contexts.
DTSTART:20220419T180000Z
DTEND:20220419T190000Z
LAST-MODIFIED:20220419T120831Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-21
END:VEVENT
BEGIN:VEVENT
UID:37663132-3934-4362-b463-373437313538
DTSTAMP:20220518T204813Z
CREATED:20220222T171335Z
DESCRIPTION:Topic: Towards Morse theory of dispersion relations\n\nSpeakers
: Gregory Berkolaiko\n\nAffiliation: Texas A&M University\n\nThe question
of optimizing an eigenvalue of a family of self-adjoint\noperators that de
pends on a set of parameters arises in diverse areas\nof mathematical phys
ics. Among the particular motivations for this\ntalk are the Floquet-Bloc
h decomposition of the Schroedinger operator\non a periodic structure\, no
dal count statistics of eigenfunctions of\nquantum graphs\, conical points
in potential energy surfaces in\nquantum chemistry and the minimal spectr
al partitions of domains. \nIn each of these problems one seeks to identif
y and/or count the\ncritical points of the eigenvalue with a given label (
say\, the third\nlowest) over the parameter space which is often known and
simple\, such\nas a torus.\n\nClassical Morse theory is a set of tools co
nnecting the number of\ncritical points of a smooth function on a manifold
to the topological\ninvariants of this manifold. However\, the eigenvalu
es are not smooth\ndue to presence of eigenvalue multiplicities or ``diabo
lical points''.\nWe rectify this problem for eigenvalues of generic famili
es of\nfinite-dimensional operators. The ``diabolical contribution'' to t
he\n``Morse indices'' of the problematic points turns out to be universal:
\nit depends only on the multiplicity and the relative position of the\nei
genvalue of interest and not on the particulars of the operator\nfamily.
Using the tools such as Clarke subdifferential and\nstratified Morse theor
y of Goresky-MacPherson\, we express the\n``diabolical contribution'' in t
erms of homology of Grassmanians of\nappropriate dimensions.\n\nBased on a
joint work with I. Zelenko.
DTSTART:20220420T150000Z
DTEND:20220420T160000Z
LAST-MODIFIED:20220420T125933Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-56
END:VEVENT
BEGIN:VEVENT
UID:36386430-6237-4161-b138-396266383433
DTSTAMP:20220518T204813Z
CREATED:20220408T181144Z
DESCRIPTION:
DTSTART:20220421T140000Z
DTEND:20220421T160000Z
LAST-MODIFIED:20220408T181200Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:65343834-3433-4136-b966-336263666432
DTSTAMP:20220518T204813Z
CREATED:20220414T125136Z
DESCRIPTION:Topic: Positive Lyapunov exponents and mixing in stochastic flu
id flow. Part I\n\nSpeakers: Samuel Punshon-Smith\n\nAffiliation: Member\,
School of Mathematics\n\nIn this three-part lecture series\, we will pres
ent a series of works\nby Bedrossian\, Blumenthal and Punshon-Smith on the
chaotic mixing and\nenhanced dissipation properties of a passive tracer s
ubject to the\nmotion of an ergodic Markovian flow of spatially regular\ni
ncompressible velocity fields on a compact domain. Such flows\ncrucially i
nclude the motion of a velocity field solving the\nstochastic Navier-Stoke
s equations in $T^{2}$ (or $T^{3}$ with\nhyperviscosity)\, but can be more
general or much simpler in character.\nWe will show how tools from the sm
ooth ergodic theory of random\ndynamical systems can be developed to show
that these flows\n'generically'' give rise to ergodic flows of volume pres
erving\ndiffeomorphisms (Lagrangian flow) that have a positive Lyapunov\ne
xponent and are almost surely exponentially mixing. Moreover\, when\ndiffu
sion is added\, they exhibit optimal enhanced $L^{2}$ dissipation\,\nwhere
by the interaction between advection and diffusion causes a\npassive trace
r to decay on much faster time scales than the heat\nequation. This enhanc
ement time scale is optimal in the class of\nLipschitz velocity fields and
provides the first examples of flows\nwith such properties beyond the uni
formly hyperbolic setting.
DTSTART:20220421T180000Z
DTEND:20220421T200000Z
LAST-MODIFIED:20220428T191617Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-9
END:VEVENT
BEGIN:VEVENT
UID:64373639-6331-4830-b137-313035643835
DTSTAMP:20220518T204813Z
CREATED:20211209T220811Z
DESCRIPTION:Topic: Galois groups of random integer polynomials\n\nSpeakers:
Manjul Bharğava\n\nAffiliation: Princeton University\n\nOf the $(2H+1)^n$
monic integer polynomials $f(x)=x^n+a_1\nx^{n-1}+\cdots+a_n$ with $\max\{
|a_1|\,\ldots\,|a_n|\}\leq H$\, how many\nhave associated Galois group tha
t is not the full symmetric group\n$S_n$? There are clearly $\gg H^{n-1}$
such polynomials\, as may be\nobtained by setting $a_n=0$. In 1936\, van
der Waerden conjectured\nthat $O(H^{n-1})$ should in fact also be the cor
rect upper bound for\nthe count of such polynomials. The conjecture has b
een known\npreviously for degrees $n\leq 4$\, due to work of van der Waerd
en and\nChow and Dietmann. In this talk\, we will describe a proof of van
der\nWaerden's Conjecture for all degrees $n$.
DTSTART:20220421T203000Z
DTEND:20220421T213000Z
LAST-MODIFIED:20220421T140934Z
LOCATION:Remote Access and Fine 214
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-481
END:VEVENT
BEGIN:VEVENT
UID:36393762-3265-4635-b730-626334616561
DTSTAMP:20220518T204813Z
CREATED:20211209T235503Z
DESCRIPTION:Topic: From Floer to Hochschild via matrix factorisations\n\nSp
eakers: Jack Smith\n\nAffiliation: Cambridge University\n\nThe Hochschild
cohomology of the Floer algebra of a Lagrangian $L$\,\nand the associated
closed-open string map\, play an important role in\nthe generation criteri
on for the Fukaya category and in deformation\ntheory approaches to mirror
symmetry. I will explain how\, in the\nmonotone setting\, one can build a
map from the Floer cohomology of $L$\nwith certain local coefficients to
(a version of) Hochschild\ncohomology. This map makes things much more geo
metric\, by transferring\nthe algebraic complexity to the world of matrix
factorisations\, and is\nan isomorphism when $L$ is a torus.
DTSTART:20220422T131500Z
DTEND:20220422T144500Z
LAST-MODIFIED:20220422T124612Z
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-82
END:VEVENT
BEGIN:VEVENT
UID:66306331-6663-4237-a331-623732366135
DTSTAMP:20220518T204813Z
CREATED:20220420T195941Z
DESCRIPTION:Topic: Global well-posedness for the 2D one-phase Muskat proble
m\n\nSpeakers: Hongjie Dong\n\nAffiliation: Brown University\n\nI will pre
sent a recent result jointly with Francisco Gancedo\n(Universidad de Sevil
la) and Huy Q. Nguyen (University of Maryland)\,\nin which we obtained the
global well-posedness for the 2D one-phase\nMuskat problem with arbitrary
large Lipschitz initial data. The\nequation arises from a free boundary p
roblem for a 2D fluid filtered\nin porous media.
DTSTART:20220426T180000Z
DTEND:20220426T190000Z
LAST-MODIFIED:20220426T125454Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-24
END:VEVENT
BEGIN:VEVENT
UID:66633437-3036-4337-b437-656465303766
DTSTAMP:20220518T204813Z
CREATED:20220401T155954Z
DESCRIPTION:Topic: The sharp Liouville theorem for conformal maps\n\nSpeake
rs: André Guerra\n\nAffiliation: Member\, School of Mathematics\n\nIn 1850
\, Liouville proved a rather surprising fact: any $C^{3}$\nconformal map i
n a three-dimensional domain is a Möbius\ntransformation\; this is in star
k contrast with the two-dimensional\ncase\, where conformal maps abound. S
ince then\, Liouville's theorem has\nbeen generalized to higher dimensions
and the smoothness assumptions\nweakened\, but the optimal statement is s
till not known. In this talk\,\nI will recount the story of this fascinati
ng open problem.
DTSTART:20220427T220000Z
DTEND:20220428T000000Z
LAST-MODIFIED:20220426T191910Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-237
END:VEVENT
BEGIN:VEVENT
UID:33306335-6433-4138-b962-366665613134
DTSTAMP:20220518T204813Z
CREATED:20220322T173100Z
DESCRIPTION:
DTSTART:20220428T140000Z
DTEND:20220428T160000Z
LAST-MODIFIED:20220322T173117Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:32366566-3038-4632-a362-636338303730
DTSTAMP:20220518T204813Z
CREATED:20220414T125647Z
DESCRIPTION:Topic: Positive Lyapunov exponents and mixing in stochastic flu
id flow. Part II\n\nSpeakers: Elia Bruè\n\nAffiliation: Member\, School of
Mathematics\n\nIn this three-part lecture series\, we will present a seri
es of works\nby Bedrossian\, Blumenthal and Punshon-Smith on the chaotic m
ixing and\nenhanced dissipation properties of a passive tracer subject to
the\nmotion of an ergodic Markovian flow of spatially regular\nincompressi
ble velocity fields on a compact domain. Such flows\ncrucially include the
motion of a velocity field solving the\nstochastic Navier-Stokes equation
s in $T^{2}$ (or $T^{3}$ with\nhyperviscosity)\, but can be more general o
r much simpler in character.\nWe will show how tools from the smooth ergod
ic theory of random\ndynamical systems can be developed to show that these
flows\n'generically'' give rise to ergodic flows of volume preserving\ndi
ffeomorphisms (Lagrangian flow) that have a positive Lyapunov\nexponent an
d are almost surely exponentially mixing. Moreover\, when\ndiffusion is ad
ded\, they exhibit optimal enhanced $L^{2}$ dissipation\,\nwhereby the int
eraction between advection and diffusion causes a\npassive tracer to decay
on much faster time scales than the heat\nequation. This enhancement time
scale is optimal in the class of\nLipschitz velocity fields and provides
the first examples of flows\nwith such properties beyond the uniformly hyp
erbolic setting.\n\nIn Lecture 2\, we will overview key tools from the smo
oth ergodic\ntheory of random dynamical systems developed by Furstenberg\,
\nOseledets\, L. Arnold\, Baxendale\, Ledrappier and many others.\nParticu
larly\, the multiplicative ergodic theorem\, relative entropy\nlower bound
s on Lyapunov exponents and rigidity of linear group\nactions on projectiv
e space. We will show that\, for a broad class of\nstochastic fluid motion
s\, the top Lyapunov exponent of the induced\nflow of volume preserving di
ffeomorphisms must either be strictly\npositive\, or is very degenerate in
the sense that its linear motion\npreserves a finite union of planes or i
s an isometry with respect to a\ncertain Riemannian metric. To avoid techn
ical details related to\nstochastic PDE\, an emphasis will be given to pro
ving this for the\n'minimal example' of random Stokes flow on sufficiently
many modes\, as\nwell as a complete account of the simpler case of iid ma
trix products\nin the pioneering work of Furstenberg.
DTSTART:20220428T180000Z
DTEND:20220428T200000Z
LAST-MODIFIED:20220428T191746Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-10
END:VEVENT
BEGIN:VEVENT
UID:30653963-6538-4930-a365-613731313637
DTSTAMP:20220518T204813Z
CREATED:20211209T220826Z
DESCRIPTION:Topic: Modular forms of half-integral weight on exceptional gro
ups\n\nSpeakers: Spencer Leslie\n\nAffiliation: Duke University\n\nHalf-in
tegral weight modular forms are classical objects with many\nimportant ari
thmetic applications. In terms of automorphic\nrepresentations\, these co
rrespond to objects on the metaplectic double\ncover of SL(2). In this ta
lk\, I will outline a theory of modular\nforms of half-integral weight on
double covers of exceptional groups\,\ngeneralizing the integral weight th
eory developed by Gross-Wallach\,\nGan-Gross-Savin\, and Pollack. Further
more\, I discuss a particular\nexample of a weight 1/2 modular form on G2
whose Fourier coefficients\nencode the 2-torsion in the narrow class group
s of totally real cubic\nfields. This is built by studying a remarkable au
tomorphic\nrepresentation of the double cover of the exceptional group F4.
\n\nThis is joint work with Aaron Pollack.
DTSTART:20220428T203000Z
DTEND:20220428T213000Z
LAST-MODIFIED:20220428T132433Z
LOCATION:Remote via Zoom
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-482
END:VEVENT
BEGIN:VEVENT
UID:31666362-3131-4436-b632-633666613936
DTSTAMP:20220518T204813Z
CREATED:20211209T235515Z
DESCRIPTION:Topic: Knots\, minimal surfaces and J-holomorphic curves\n\nSpe
akers: Joel Fine\n\nAffiliation: Université Libre de Bruxelles\n\nLet $K$
be a knot or link in the 3-sphere\, thought of as the ideal\nboundary of h
yperbolic 4-space\, $H^{4}$. The main theme of my talk is\nthat it should
be possible to count minimal surfaces in $H^{4}$ which\nfill $K$ and obtai
n a link invariant. In other words\, the count\ndoesn’t change under isoto
pies of $K$. When one counts minimal\ndisks\, this is a theorem. Unfortuna
tely there is currently a gap in\nthe proof for more complicated surfaces.
I will explain “morally”\nwhy the result should be true and how I intend
to fill the gap. In\nfact\, this (currently conjectural) invariant is a ki
nd of\nGromov–Witten invariant\, counting $J$-holomorphic curves in a\ncer
tain symplectic 6-manifold diffeomorphic to $S^{2}$×$H^{4}$. The\nsymplect
ic structure becomes singular at infinity\, in directions\ntransverse to t
he $S^{2}$ fibres. These singularities mean that both\nthe Fredholm and co
mpactness theories have fundamentally new features\,\nwhich I will describ
e. Finally\, there is a whole class of\ninfinite-volume symplectic 6-manif
olds which have singularities\nmodelled on the above situation. I will exp
lain how it should be\npossible to count $J$-holomorphic curves in these m
anifolds too\, and\nobtain invariants for links in other 3-manifolds.
DTSTART:20220429T131500Z
DTEND:20220429T144500Z
LAST-MODIFIED:20220502T121644Z
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-83
END:VEVENT
BEGIN:VEVENT
UID:39613035-3630-4832-a137-383831663661
DTSTAMP:20220518T204813Z
CREATED:20220414T131207Z
DESCRIPTION:Topic: Inner and outer billiards in symplectic spaces\n\nSpeake
rs: Sergei Tabachnikov\n\nAffiliation: Pennsylvania State University\n\nI
shall present two billiard-like systems associated with a convex\nhypersur
face in a symplectic space\, the outer and an inner ones. \nThe talk will
survey the known results and focus on open problems.
DTSTART:20220502T200000Z
DTEND:20220502T213000Z
LAST-MODIFIED:20220502T203231Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-symplecti
c-geometry-seminar-190
END:VEVENT
BEGIN:VEVENT
UID:33356363-3564-4838-b530-643735316339
DTSTAMP:20220518T204813Z
CREATED:20220414T123424Z
DESCRIPTION:Topic: Metrics of constant Chern scalar curvature \n\nSpeakers:
Xi Sisi Shen\n\nAffiliation: Columbia University\n\nWe discuss the existe
nce problem of constant Chern scalar curvature\nmetrics on a compact compl
ex manifold. We prove a priori estimates for\nthese metrics conditional on
an upper bound on the entropy\, extending\na recent result by Chen-Cheng
in the Kähler setting.
DTSTART:20220503T180000Z
DTEND:20220503T190000Z
LAST-MODIFIED:20220503T120440Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-22
END:VEVENT
BEGIN:VEVENT
UID:37333665-6162-4930-b139-616334313666
DTSTAMP:20220518T204813Z
CREATED:20220325T172240Z
DESCRIPTION:Topic: Modular bootstrap\, Segal's axioms and resolution of Lio
uville conformal field theory\n\nSpeakers: Rémi Rhodes\; Vincent Vargas\n
\nAffiliation: Université Aix-Marseille\; École Normale Supérieure\n\nLiou
ville field theory was introduced by Polyakov in the eighties in\nthe cont
ext of string theory. Liouville theory appeared there under\nthe form of a
2D Feynman path integral\, which can be thought of as a\nmeasure (or expe
ctation value) over the space of configurations of the\nsystem. Since then
\, this theory has been extensively studied in\nphysics and this interest
has more recently spread to the\nprobabilistic community where it appears
as a natural model of random\nRiemann surfaces. Liouville theory is a conf
ormal field theory and\, as\nsuch\, the quantities of interest are the cor
relation functions\n(averages of relevant observables). In this talk\, we
will explain some\njoint works with G. Baverez\, C. Guillarmou and A. Kupi
ainen where we\nshow that the correlation functions of Liouville conformal
field\ntheory on Riemann surfaces can be expressed purely in terms of\npr
oducts of 3-point correlation functions on the sphere and the\nconformal b
locks\, which are holomorphic functions on the moduli space\nof punctured
Riemann surfaces. The proof is strongly based on the\ndecomposition of the
path integral (written as an average of some\nrandom variables) into path
integrals over surfaces with boundaries\n(building blocks/pairs of pants)
\, which is a verification of Segal's\naxioms in our setting\, and on the
spectral analysis of a certain\nself-adjoint Hamiltonian.
DTSTART:20220504T200000Z
DTEND:20220504T213000Z
LAST-MODIFIED:20220504T124739Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Mathematical Physics Seminar
URL:https://www.ias.edu/math/events/mathematical-physics-seminar-60
END:VEVENT
BEGIN:VEVENT
UID:66643237-6139-4239-b264-383934306438
DTSTAMP:20220518T204813Z
CREATED:20220415T181426Z
DESCRIPTION:Topic: What persuades us to accept a proof as correct\, and can
computer learning help us in that?\n\nSpeakers: Andrew Granville\n\nAffil
iation: Université de Montréal\n\nUndergraduate mathematicians are taught
Hilbert's dream that theorems\nshould be built up from a solid axiomatic b
ase\, and that the whole\nstructure of mathematics is (or should be) a sol
id verifiable whole.\nHowever\, this is rather far from how mathematicians
really study\nproofs. Rather than verified as being rigorous from first p
rinciples\,\nresearchers typically examine proofs in the light of their ow
n\nexperiences\, knowledge and understanding\, and believe them to be\ncor
rect when they fit\, as if they belong\, into a complicated web of\nideas.
This approach has its evident dangers but has served the\nmathematical co
mmunity well. Now computer software is being\ndeveloped that supposedly w
ill fulfill the undergraduate dream of\nobjectively verifying proofs back
to first principles. Is this useful?\nWill we be more certain that our the
orems are true as claimed? Will\nthis serve the development of our mathema
tical understanding?
DTSTART:20220504T213000Z
DTEND:20220504T230000Z
LAST-MODIFIED:20220415T181705Z
LOCATION:Remote Access
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-238
END:VEVENT
BEGIN:VEVENT
UID:36303932-3663-4563-b038-613865373535
DTSTAMP:20220518T204813Z
CREATED:20220414T130039Z
DESCRIPTION:Topic: Positive Lyapunov exponents and mixing in stochastic flu
id flow. Part III\n\nSpeakers: Samuel Punshon-Smith\n\nAffiliation: Member
\, School of Mathematics\n\nIn this three-part lecture series\, we will pr
esent a series of works\nby Bedrossian\, Blumenthal and Punshon-Smith on t
he chaotic mixing and\nenhanced dissipation properties of a passive tracer
subject to the\nmotion of an ergodic Markovian flow of spatially regular
\nincompressible velocity fields on a compact domain. Such flows\ncruciall
y include the motion of a velocity field solving the\nstochastic Navier-St
okes equations in $T^{2}$ (or $T^{3}$ with\nhyperviscosity)\, but can be m
ore general or much simpler in character.\nWe will show how tools from the
smooth ergodic theory of random\ndynamical systems can be developed to sh
ow that these flows\n'generically'' give rise to ergodic flows of volume p
reserving\ndiffeomorphisms (Lagrangian flow) that have a positive Lyapunov
\nexponent and are almost surely exponentially mixing. Moreover\, when\ndi
ffusion is added\, they exhibit optimal enhanced $L^{2}$ dissipation\,\nwh
ereby the interaction between advection and diffusion causes a\npassive tr
acer to decay on much faster time scales than the heat\nequation. This enh
ancement time scale is optimal in the class of\nLipschitz velocity fields
and provides the first examples of flows\nwith such properties beyond the
uniformly hyperbolic setting.\n\nIn Lecture 3\, we will describe how\, for
such flows\, one can turn the\nweaker local information of a positive Lya
punov exponent into the\nstronger global information about mixing and expo
nential correlation\ndecay using powerful tools from the ergodic theory of
Markov chains.\nIn particular\, we will develop techniques that use the H
arris theorem\nand large deviation theory to turn a positive Lyapunov expo
nent into a\nspectral gap for the Markov process of two point particle mot
ion\,\nwhich is a sufficient condition for almost sure exponential mixing.
\nTime permitting\, we will explain how to prove the remarkable fact that
\nthis spectral gap is stable under the addition of diffusion (a\nsingular
perturbation) and crucially gives rise to an exponential\nmixing rate tha
t is uniform in the strength of the diffusivity. This\nvery strong uniform
-in-diffusivity mixing property can be seen to\neasily imply an optimal $L
^{2}$ enhanced dissipation effect and is\nalso the crucial ingredient in t
he proof of the emergence of the -1\nlaw in the power spectrum of passive
scalar turbulence.
DTSTART:20220505T180000Z
DTEND:20220505T200000Z
LAST-MODIFIED:20220414T130330Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Topics in Analysis
URL:https://www.ias.edu/math/events/topics-analysis-11
END:VEVENT
BEGIN:VEVENT
UID:31383761-3661-4233-b035-346634323034
DTSTAMP:20220518T204813Z
CREATED:20211209T220840Z
DESCRIPTION:Topic: Applications of the Subspace Theorem in Group Theory\n\n
Speakers: Jinbo Ren\n\nAffiliation: Member\, School of Mathematics\n\nAn a
bstract group is said to have the _bounded generation_ property\n(BG) if i
t can be written as a product of finitely many cyclic\nsubgroups. Being a
purely combinatorial notion\, bounded generation has\nclose relation with
many group theoretical problems including\nsemisimple rigidity\, Kazhdan's
property (T) and Serre's congruence\nsubgroup problem.\n\nIn this talk\,
I will explain how to use a certain quantitative version\nof the subspace
theorem in Diophantine approximation to prove that the\ndistribution of th
e points of a set of matrices over a number field\n$F$ with (BG) by certai
n fixed semi-simple (diagonalizable) elements\nis of at most logarithmic s
ize when ordered by height. Moreover\, one\nobtains that a linear group $\
Gamma \subset \mathrm{GL}_n(K)$ over a\nfield $K$ of characteristic zero a
dmits a _purely exponential_\n_parametrization_ if and only if it is finit
ely generated and the\nconnected component of its Zariski closure is a tor
us.\n\nThis is joint work with Corvaja\, Demeio\, Rapinchuk and Zannier.
DTSTART:20220505T203000Z
DTEND:20220505T213000Z
LAST-MODIFIED:20220506T140603Z
LOCATION:Remote Access and Fine 214
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-483
END:VEVENT
BEGIN:VEVENT
UID:34626666-3332-4833-b362-383539383534
DTSTAMP:20220518T204813Z
CREATED:20211209T235529Z
DESCRIPTION:Topic: Tate Homology and powered Flybys\n\nSpeakers: Kevin Ruck
\n\nAffiliation: Augsburg University\n\nIn this talk\, I want to show that
in the planar circular restricted\nthree body problem there are infinitel
y many symmetric consecutive\ncollision orbits for all energies below the
first critical energy\nvalue. By using the Levi-Civita regularization we
will be able to\ndistinguish between two different orientations of these o
rbits and\nprove the above claim for both of them separately. In the first
part\nof the talk\, I want to explain the motivation behind this result\,
\nespecially its connection to powered Flybys. Afterward I will\nintroduc
e the main technical tools\, one needs to prove the above\nstatement\, lik
e Lagrangian Rabinowitz Floer Homology and its\n$G$-equivariant version.
To be able to effectively calculate this\n$G$-equivariant Lagrangian RFH\,
we will relate it to the Tate homology\nof the group $G$. With this tool
at hand\, we will then finally be\nable to prove that there are infinitel
y many consecutive collision\norbits all facing in a specific direction.
DTSTART:20220506T131500Z
DTEND:20220506T144500Z
LAST-MODIFIED:20220509T110804Z
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-84
END:VEVENT
BEGIN:VEVENT
UID:36373238-3161-4635-a266-363832626131
DTSTAMP:20220518T204813Z
CREATED:20220420T130354Z
DESCRIPTION:Topic: Polynomial Bounds on Parallel Repetition For All 3-Playe
r Games with Binary Inputs\n\nSpeakers: Kunal Mittal\n\nAffiliation: Princ
eton University\n\nUnderstanding the behavior of multi-player (multi-prove
r) games under\nparallel repetition is an important problem in theoretical
computer\nscience.\n\nIn a $k$-player game $G$\, a referee chooses questi
ons $(x^{1}\, ...\,\nx^{k})$ from a (publicly known) distribution $Q$\, an
d for each $j$ in\n${1\, ...\, k}$\, sends the question $x_{j}$ to player
$j$. Then\, each\nplayer $j$\, based on the question they received\, gives
back an answer\n$a^{j}$. Finally\, the referee says whether the players w
in or lose\nbased on the evaluation of a (publicly known) predicate $V(x^{
1}\, ...\,\nx^{k}\, a^{1}\, ...\, a^{k})$. The value of the game is define
d to be the\nmaximum winning probability for the players\, where the maxim
um is over\nthe possible strategies of the players.\n\nIn the n-fold paral
lel repetition $G^{n}$ of the above game\, the\nplayers are given (indepen
dently sampled) questions for $n$ copies of\nthe game and their goal is to
win all copies. More formally\, for each\n$i$ in ${1\, ...\, n}$\, the re
feree samples $(x_{i^{1}}\, ...\,\nx_{i^{k}})$ independently from $Q$. For
each $j$ in ${1\, ...\, k}$\,\nplayer $j$ is given the questions $(x_{1^{
j}}\, ...\, x_{n^{j}})$\, based\non which they answer $(a_{1^{j}}$\, ...\,
$a_{n^{j}})$. The players are\nsaid to win if $V(x_{i^{1}}\, ...\, x_{i^{
k}}$\, $a_{i^{1}}$\, ...\,\n$a_{i^{k}})$ evaluates to true for each ${i}$.
\n\nWhile for every 2-player game G with value $<1$\, the value of the gam
e\n$G^{n}$ is known to decrease exponentially in n (Raz ’98)\, only\ninver
se-Ackerman bounds are known for general k-player games\n(Verbitsky ’96).
\n\nI will talk about some recent progress on this problem\, where we prov
e\nthat for any 3-player game over binary inputs\, with value $<1$\, the\n
value of the n-fold parallel repetition decays polynomially fast to 0.\nAl
ong the way\, we prove two additional parallel repetition theorems\nthat m
ay be of independent interest. We prove polynomial bounds for a\nlarge cla
ss of games\, which we call Playerwise Connected Games\, with\nany number
of players and any input length. This class extends the\nclass of Connecte
d Games of Dinur\, Harsha\, Venkat\, and Yuen ’17 for\nwhich exponential b
ounds are known. We also prove exponential bounds\nfor a 3-player game tha
t we call the Anti-Correlation Game\, which was\nstudied and motivated in
several previous works. In particular\,\nHolmgren and Yang ’19 gave it as
an example for a 3-player game\nwhose non-signaling value is smaller than
1 and yet does not decrease\nat all under parallel repetition\, and thus o
ur result implies an\nexample for a 3-player game where the value of the p
arallel repetition\nof the game behaves completely differently for classic
al strategies\nversus non-signaling strategies.\n\nThis is based on joint
works with Uma Girish\, Justin Holmgren\, Ran\nRaz\, and Wei Zhan.
DTSTART:20220509T151500Z
DTEND:20220509T161500Z
LAST-MODIFIED:20220509T131136Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-510
END:VEVENT
BEGIN:VEVENT
UID:31343832-6366-4266-a232-656632646565
DTSTAMP:20220518T204813Z
CREATED:20220505T120244Z
DESCRIPTION:Topic: Association schemes and codes I: The Delsarte linear pro
gram\n\nSpeakers: Leonardo Coregliano\n\nAffiliation: Member\, School of M
athematics\n\nOne of the central problems of coding theory is to determine
the\ntrade-off between the amount of information a code can carry (captur
ed\nby its rate) and its robustness to resist message corruption (captured
\nby its distance). On the existential side\, Gilbert and Varshamov\nshowe
d in the 1950s that random codes and random linear codes achieve\na consid
erably good trade-off\; this is known as the GV bound. On the\nimpossibili
ty side\, McEliece\, Rodemich\, Rumsey and Welch (MRRW) in the\n1970s prov
ided an upper bound\, known as LP bound\, by analyzing the\nDelsarte linea
r programs corresponding to the Hamming and Johnson\nassociation schemes.
However\, there is still a significant gap between\nthese lower and upper
bounds.\n\nIn a recent work with Fernando Jeronimo and Chris Jones\, we pr
ovided a\nhierarchy of higher-order Hamming schemes that is complete for l
inear\ncodes. Namely\, in a high enough level of the hierarchy the\ncorres
ponding Delsarte linear program gives tight bounds for the size\nof linear
codes.\n\nIn this first lecture\, I will go over the basics of the theory
of\nassociation schemes needed to understand our result (and as such no\n
prior knowledge of this theory is required).
DTSTART:20220510T143000Z
DTEND:20220510T163000Z
LAST-MODIFIED:20220510T122256Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-509
END:VEVENT
BEGIN:VEVENT
UID:35333631-3632-4839-b137-623231626633
DTSTAMP:20220518T204813Z
CREATED:20220414T123702Z
DESCRIPTION:Topic: Remarks on the long-time dynamics of 2D Euler\n\nSpeaker
s: Theodore Dimitrios Drivas\n\nAffiliation: Member\, School of Mathematic
s\n\nWe will discuss some old and new results concerning the long-time\nbe
havior of solutions to the two-dimensional incompressible Euler\nequations
. Specifically\, we discuss whether steady states can be\nisolated\, wand
ering for solutions starting nearby certain steady\nstates\, singularity f
ormation at infinite time\, and finally some\nresults/conjectures on the i
nfinite-time limit near and far from\nequilibrium.
DTSTART:20220510T180000Z
DTEND:20220510T190000Z
LAST-MODIFIED:20220503T180927Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Seminar in Analysis and Geometry
URL:https://www.ias.edu/math/events/seminar-analysis-and-geometry-23
END:VEVENT
BEGIN:VEVENT
UID:61653062-6463-4434-a434-346634313331
DTSTAMP:20220518T204813Z
CREATED:20220322T173143Z
DESCRIPTION:
DTSTART:20220512T140000Z
DTEND:20220512T160000Z
LAST-MODIFIED:20220322T173159Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:37343430-3434-4338-b831-373164643733
DTSTAMP:20220518T204813Z
CREATED:20220505T183921Z
DESCRIPTION:Topic: Bounds for subsets of $\mathbb{F}_p^n \times \mathbb{F}_
p^n$ without L-shaped configurations \n\nSpeakers: Sarah Peluse\n\nAffilia
tion: Member\, School of Mathematics\n\nAbstract: I will discuss the diffi
cult problem of proving reasonable\nbounds in the multidimensional general
ization of Szemer\’edi’s\ntheorem and describe a proof of such bounds for
sets lacking\nnontrivial configurations of the form $(x\,y)\, (x\,y+z)\, (
x\,y+2z)\,\n(x+z\,y)$ in the finite field model setting.
DTSTART:20220512T180000Z
DTEND:20220512T190000Z
LAST-MODIFIED:20220512T130620Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:The Celebration of Women in Mathematics
URL:https://www.ias.edu/math/events/celebration-women-mathematics-0
END:VEVENT
BEGIN:VEVENT
UID:35393837-6434-4031-a234-653764623465
DTSTAMP:20220518T204813Z
CREATED:20220429T175243Z
DESCRIPTION:Topic: Thresholds\n\nSpeakers: Jinyoung Park\n\nAffiliation: St
anford University\n\nThresholds for increasing properties of random struct
ures are a\ncentral concern in probabilistic combinatorics and related are
as. In\n2006\, Kahn and Kalai conjectured that for any nontrivial increas
ing\nproperty on a finite set\, its threshold is never far from its\n'expe
ctation-threshold\,' which is a natural (and often easy to\ncalculate) low
er bound on the threshold.\n\nIn the first talk\, I will introduce the Kah
n-Kalai Conjecture with\nsome motivating examples and then briefly talk ab
out the recent\nresolution of the Kahn-Kalai Conjecture due to Huy Pham an
d myself. \n\nIn the second talk\, I will discuss our proof of the conject
ure in\ndetails.\n\n
DTSTART:20220516T180000Z
DTEND:20220516T190000Z
LAST-MODIFIED:20220516T122721Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Members’ Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-32
END:VEVENT
BEGIN:VEVENT
UID:31333636-3463-4133-a366-643261376263
DTSTAMP:20220518T204813Z
CREATED:20220503T154148Z
DESCRIPTION:Topic: Thresholds\n\nSpeakers: Jinyoung Park\n\nAffiliation: St
anford University\n\nThresholds for increasing properties of random struct
ures are a\ncentral concern in probabilistic combinatorics and related are
as. In\n2006\, Kahn and Kalai conjectured that for any nontrivial increas
ing\nproperty on a finite set\, its threshold is never far from its\n'expe
ctation-threshold\,' which is a natural (and often easy to\ncalculate) low
er bound on the threshold.\n\nIn the first talk\, I will introduce the Kah
n-Kalai Conjecture with\nsome motivating examples and then briefly talk ab
out the recent\nresolution of the Kahn-Kalai Conjecture due to Huy Pham an
d myself.\n\nIn the second talk\, I will discuss our proof of the conjectu
re in\ndetails.
DTSTART:20220516T200000Z
DTEND:20220516T210000Z
LAST-MODIFIED:20220516T213204Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar I
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-i-511
END:VEVENT
BEGIN:VEVENT
UID:39663133-6563-4330-a662-333463323763
DTSTAMP:20220518T204813Z
CREATED:20220505T120607Z
DESCRIPTION:Topic: Association schemes and codes II: Completeness of the hi
erarchy of high-order Hamming schemes\n\nSpeakers: Leonardo Coregliano\n\n
Affiliation: Member\, School of Mathematics\n\nOne of the central problems
of coding theory is to determine the\ntrade-off between the amount of inf
ormation a code can carry (captured\nby its rate) and its robustness to re
sist message corruption (captured\nby its distance). One of the main metho
ds to prove upper bounds on\nsizes of codes is via the Delsarte linear pro
gram of the Hamming and\nJohnson schemes. Since these bounds are known to
not be tight\, in a\nrecent work with Fernando Jeronimo and Chris Jones\,
we provided a\nhierarchy of high-order Hamming schemes that is complete in
the sense\nthat in a high enough level their Delsarte linear programs pro
vide\ntight bounds for linear codes.\n\nThe completeness of this hierarchy
explores four different views of\nthe underlying optimization problem: th
e first is the Lovász theta\nprime function on the associated graph\, the
second is the original\nview of the hierarchy in which we factor translati
on and permutation\nsymmetries\, the third is an alternative view in which
we factor\ntranslation and linear combination symmetries and the final on
e builds\non top of the third one by changing bases via Möbius inversion.
\n\nIn this second lecture\, I will cover all these views of the hierarchy
\nand how they come together to prove its completeness.
DTSTART:20220517T143000Z
DTEND:20220517T163000Z
LAST-MODIFIED:20220517T113034Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Computer Science/Discrete Mathematics Seminar II
URL:https://www.ias.edu/math/events/computer-sciencediscrete-mathematics-se
minar-ii-510
END:VEVENT
BEGIN:VEVENT
UID:64613136-3030-4232-b962-363839323734
DTSTAMP:20220518T204813Z
CREATED:20220322T173205Z
DESCRIPTION:
DTSTART:20220519T140000Z
DTEND:20220519T160000Z
LAST-MODIFIED:20220322T173225Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:35356633-6438-4536-b937-376332303235
DTSTAMP:20220518T204813Z
CREATED:20220418T180457Z
DESCRIPTION:Topic: Branching laws: homological aspects\n\nSpeakers: Dipendr
a Prasad\n\nAffiliation: Indian Institute of Technology\n\nThis lecture wi
ll partly survey branching laws for real and p-adic\ngroups which often is
related to period integrals of automorphic\nrepresentations\, discuss som
e of the more recent developments\,\nfocusing attention on homological asp
ects and the Bernstein\ndecomposition.
DTSTART:20220519T203000Z
DTEND:20220519T213000Z
LAST-MODIFIED:20220418T180721Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/Princeton University Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-university-number-th
eory-seminar-485
END:VEVENT
BEGIN:VEVENT
UID:66306332-3237-4337-b437-333235373433
DTSTAMP:20220518T204813Z
CREATED:20211209T235558Z
DESCRIPTION:Topic: Gamma-support\, gamma-coisotropic subsets and applicatio
n\n\nSpeakers: Claude Viterbo\n\nAffiliation: Université de Paris-Sud\n\nT
o an element in the completion of the set of Lagrangians for the\nspectral
distance we associate a support. We show that such a\nsupport is γ-coiso
tropic (a notion we shall define in the talk) and\nwe shall give examples
and counterexamples of γ-coisotorpic sets\nthat can be (or cannot be) γ-su
pports. Finally\, we give some\napplications of these notions to singular
support of sheaves (joint\nwork with S. Guillermou) and dissipative dynam
ics\, allowing us to\nextend the notion of Birkhoff attractor (joint with
V. Humilière).
DTSTART:20220520T131500Z
DTEND:20220520T144500Z
LAST-MODIFIED:20220502T171047Z
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-86
END:VEVENT
BEGIN:VEVENT
UID:30633039-3764-4833-a335-306637316364
DTSTAMP:20220518T204813Z
CREATED:20220328T184051Z
DESCRIPTION:Topic: Terng Lecture Course Preview\n\nSpeakers: Lesia Semenova
\n\nAffiliation: Duke University
DTSTART:20220522T140000Z
DTEND:20220522T150000Z
LAST-MODIFIED:20220328T184308Z
LOCATION:Simonyi Hall 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-17
END:VEVENT
BEGIN:VEVENT
UID:63303435-3465-4763-b933-656135353832
DTSTAMP:20220518T204813Z
CREATED:20220328T184330Z
DESCRIPTION:Topic: Uhlenbeck Lecture Course Preview\n\nSpeakers: Ellen Vite
rcik\n\nAffiliation: University of California\, Berkeley
DTSTART:20220522T151500Z
DTEND:20220522T161500Z
LAST-MODIFIED:20220328T184510Z
LOCATION:Simonyi Hall 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-18
END:VEVENT
BEGIN:VEVENT
UID:33666431-3936-4135-b039-383666656461
DTSTAMP:20220518T204813Z
CREATED:20220325T171856Z
DESCRIPTION:Topic: Terng Lecture: Introduction to Interpretable Machine Lea
rning\n\nSpeakers: Cynthia Rudin\n\nAffiliation: Duke University
DTSTART:20220523T131500Z
DTEND:20220523T141500Z
LAST-MODIFIED:20220325T172632Z
LOCATION:Simonyi Hall\, Room S-101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning
END:VEVENT
BEGIN:VEVENT
UID:64393931-3034-4332-b437-336137636132
DTSTAMP:20220518T204813Z
CREATED:20220328T175455Z
DESCRIPTION:Topic: Uhlenbeck Lecture: Foundations for Learning in the Age o
f Big Data\n\nSpeakers: Maria Florina Balcan\n\nAffiliation: Carnegie Mell
on University
DTSTART:20220523T143000Z
DTEND:20220523T153000Z
LAST-MODIFIED:20220516T190119Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-3
END:VEVENT
BEGIN:VEVENT
UID:32343065-3432-4430-a362-306139366432
DTSTAMP:20220518T204813Z
CREATED:20220328T180543Z
DESCRIPTION:Topic: Colloquium: Learning Generalizable Visual Representation
s\n\nSpeakers: Kate Saenko\n\nAffiliation: Boston University\n\nIn compute
r vision\, generalization of neural representations is\nusually measured o
n i.i.d. data. This hides the fact that\nrepresentations often struggle to
generalize to non-i.i.d data and\nfail to overcome the biases inherent in
visual datasets. I will\ndiscuss some recent work in my lab addressing th
e core challenges in\novercoming dataset bias\, including adaptation to na
tural domain\nshifts\, sim2real transfer\, avoiding spurious correlations\
, and the\nrole of pretraining in generalizability.
DTSTART:20220523T154500Z
DTEND:20220523T164500Z
LAST-MODIFIED:20220516T190157Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-7
END:VEVENT
BEGIN:VEVENT
UID:61306662-3732-4132-b134-376635313331
DTSTAMP:20220518T204813Z
CREATED:20220328T182611Z
DESCRIPTION:Topic: Review Sessions
DTSTART:20220523T180000Z
DTEND:20220523T200000Z
LAST-MODIFIED:20220328T182710Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-10
END:VEVENT
BEGIN:VEVENT
UID:65633864-3330-4332-a264-386134333833
DTSTAMP:20220518T204813Z
CREATED:20220328T183351Z
DESCRIPTION:Topic: Young Researcher Seminar\n\nMelanie Weber\, University o
f Oxford\n4:30 pm - 4:50 pm\nTitle: Geometric Methods for Machine Learning
and Optimization\nAbstract: A key challenge in machine learning and optim
ization is the\nidentification of geometric structure in high-dimensional
data. Such\nstructural understanding is of great value for the design of e
fficient\nalgorithms and for developing fundamental guarantees for their\n
performance. This talk will discuss research on utilizing Riemannian\ngeom
etry in machine learning and data science\, motivated by the\nobservation
that many applications involve non-Euclidean data\, such as\ngraphs\, stri
ngs\, or matrices. First\, we consider the task of learning\na classifier
in hyperbolic space. Such spaces have received a surge of\ninterest for re
presenting large-scale\, hierarchical data\, since they\nachieve better re
presentation accuracy with fewer dimensions.\nSecondly\, we consider the p
roblem of optimizing a function on a\nRiemannian manifold. Specifically\,
we will consider classes of\noptimization problems where exploiting Rieman
nian geometry can deliver\nalgorithms that are computationally superior to
standard (Euclidean)\napproaches.\n\nAnna Ma\, University of California\,
Irvine\n4:50 pm - 5:10 pm\nTitle: Approaches for working with Large-Scale
Data\nAbstract: Data is available at larger scales than ever before seen\
,\nmaking it an important task to be able to implement and understand the
\ntools and techniques that utilize this data. For example\, if data is\nt
oo large to fit into a computer's memory\, how can one use it to train\na
machine learning algorithm? What if you have the ability to pick and\nchoo
se which data you want to utilize? How can you pick the best data\nfor you
r problem? Also\, what if your data goes beyond the standard\ndata-as-a-ma
trix setting and you have multidimensional data? What can\nbe done then? I
n this brief talk\, we will speak broadly to these\nquestions and discuss
motivations\, approaches\, and open directions for\nworking with large-sca
le data.\n\nCourtney Paquette\, McGill University\n5:10 pm - 5:30 pm\nTitl
e: Optimization Algorithms in the Large\nAbstract: In this talk\, I will p
resent a framework\, inspired by random\nmatrix theory\, for analyzing the
dynamics of optimization algorithms\n(e.g.\, 1st-order methods\, stochast
ic gradient descent (SGD)\, and\nmomentum) when both the number of samples
and dimensions are large.\nUsing this new framework\, we show that the dy
namics of optimization\nalgorithms on a least squares problem with random
data become\ndeterministic in the large sample and dimensional limit. In\n
particular\, the limiting dynamics for stochastic algorithms are\ngoverned
by a Volterra integral equation. This model predicts that SGD\nundergoes
a phase transition at an explicitly given critical stepsize\nthat ultimate
ly affects its convergence rate\, which we also verify\nexperimentally. Fi
nally\, when input data is isotropic\, we provide\nexplicit expressions fo
r the dynamics and average-case convergence\nrates. These rates show signi
ficant improvement over the worst-case\ncomplexities.\n\n \n\n
DTSTART:20220523T203000Z
DTEND:20220523T213000Z
LAST-MODIFIED:20220508T164026Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-13
END:VEVENT
BEGIN:VEVENT
UID:37306665-3936-4531-a662-343030613035
DTSTAMP:20220518T204813Z
CREATED:20220328T175230Z
DESCRIPTION:Topic: Terng Lecture: Introduction to Interpretable Machine Lea
rning\n\nSpeakers: Cynthia Rudin\n\nAffiliation: Duke University
DTSTART:20220524T131500Z
DTEND:20220524T141500Z
LAST-MODIFIED:20220328T175304Z
LOCATION:Simonyi Hall\, Room S-101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-0
END:VEVENT
BEGIN:VEVENT
UID:30383164-3232-4332-b638-363565643034
DTSTAMP:20220518T204813Z
CREATED:20220328T180228Z
DESCRIPTION:Topic: Uhlenbeck Lecture: Foundations for Learning in the Age o
f Big Data\n\nSpeakers: Maria Florina Balcan\n\nAffiliation: Carnegie Mell
on University
DTSTART:20220524T143000Z
DTEND:20220524T153000Z
LAST-MODIFIED:20220516T190414Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-5
END:VEVENT
BEGIN:VEVENT
UID:34316461-6631-4437-b037-616630396564
DTSTAMP:20220518T204813Z
CREATED:20220328T181238Z
DESCRIPTION:Topic: Interpreting Deep Neural Networks towards Trustworthines
s\n\nSpeakers: Bin Yu\n\nAffiliation: University of California\, Berkeley
\n\nRecent deep learning models have achieved impressive predictive\nperfo
rmance by learning complex functions of many variables\, often at\nthe cos
t of interpretability. This lecture first defines interpretable\nmachine l
earning in general and introduces the agglomerative\ncontextual decomposit
ion (ACD) method to interpret neural networks. \nExtending ACD to the scie
ntifically meaningful frequency domain\, an\nadaptive wavelet distillation
(AWD) interpretation method is\ndeveloped. AWD is shown to be both outper
forming deep neural networks\nand interpretable in two prediction problems
from cosmology and cell\nbiology. Finally\, a quality-controlled data sci
ence life cycle is\nadvocated for building any model for trustworthy inter
pretation and\nintroduce a Predictability Computability Stability (PCS) fr
amework for\nsuch a data science life cycle.
DTSTART:20220524T154500Z
DTEND:20220524T164500Z
LAST-MODIFIED:20220516T190459Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-8
END:VEVENT
BEGIN:VEVENT
UID:62356636-3061-4930-a363-326136646665
DTSTAMP:20220518T204813Z
CREATED:20220328T182729Z
DESCRIPTION:Topic: Review Sessions
DTSTART:20220524T180000Z
DTEND:20220524T200000Z
LAST-MODIFIED:20220328T183031Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-12
END:VEVENT
BEGIN:VEVENT
UID:35616533-3133-4130-b133-383232633633
DTSTAMP:20220518T204813Z
CREATED:20220328T183640Z
DESCRIPTION:Topic: Stop explaining black box machine learning models for hi
gh stakes decisions and use interpretable models instead\n\nSpeakers: Cynt
hia Rudin\n\nAffiliation: Duke University\n\nAbstract: With widespread us
e of machine learning\, there have been\nserious societal consequences fro
m using black box models for\nhigh-stakes decisions. Explanations for blac
k box models are not\nreliable\, and can be misleading. If we use interpre
table machine\nlearning models\, they come with their own explanations\, w
hich are\nfaithful to what the model actually computes. I will discuss exa
mples\nrelated to seizure prediction in ICU patients and digital mammograp
hy.
DTSTART:20220524T203000Z
DTEND:20220524T213000Z
LAST-MODIFIED:20220507T131900Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-15
END:VEVENT
BEGIN:VEVENT
UID:65663363-6535-4137-b233-636366353566
DTSTAMP:20220518T204813Z
CREATED:20220420T192951Z
DESCRIPTION:Topic: Young Researcher Seminar\n\nMirjeta Pasha\, Arizona Stat
e University\n7:00 pm - 7:20 pm\nTitle: On Deterministic and Statistical M
ethods for Large-scale\nDynamic Inverse Problems\nAbstract: Inverse proble
ms are ubiquitous in many fields of science\nsuch as engineering\, biology
\, medical imaging\, atmospheric science\,\nand geophysics. Three emerging
challenges on obtaining relevant\nsolutions to large-scale and data-inten
sive inverse problems are\nill-posedness of the problem\, large dimensiona
lity of the parameters\,\nand the complexity of the model constraints. In
this talk we discuss\nefficient methods for computing solutions to dynamic
inverse problems\,\nwhere both the quantities of interest and the forward
operator may\nchange at different time instances. We consider large-scale
ill-posed\nproblems that are made more challenging by their dynamic natur
e and\,\npossibly\, by the limited amount of available data per measuremen
t\nstep. In the first part of the talk\, to remedy these difficulties\, we
\napply efficient regularization methods that enforce simultaneous\nregula
rization in space and time (such as edge enhancement at each\ntime instant
and proximity at consecutive time instants) and achieve\nthis with low co
mputational cost and enhanced accuracy [2]. In the\nremainder of the talk\
, we focus on designing spatial-temporal Bayesian\nmodels for estimating t
he parameters of linear and nonlinear dynamical\ninverse problems [1]. Num
erical examples from a wide range of\napplications\, such as tomographic r
econstruction\, image deblurring\,\nand chaotic dynamical systems are used
to illustrate the effectiveness\nof the described approaches.\n\n1. S. La
n\, S. Li\, and M. Pasha. Bayesian spatiotemporal modeling for\ninverse pr
oblems. in preperation\, 2022.\n\n2. M. Pasha\, A. K. Saibaba\, S. Gazzola
\, M. I. Espanol\, and E. de\nSturler. Efficient edge-preserving methods f
or dynamic inverse\nproblems. arXiv preprint arXiv:2107.05727\, 2021.\n\nK
ara Ycoubou Djima\, Amherst College\n7:20 pm - 7:40 pm\nTitle: Extracting
Autism's Biomarkers in Placenta using Multiscale\nMethods\nAbstract: The p
lacenta is the essential organ of maternal-fetal\ninteractions\, where nut
rient\, oxygen\, and waste exchange occur. In\nrecent studies\, difference
s in the morphology of the placental\nchorionic surface vascular network (
PCSVN) have been associated with\ndevelopmental disorders such as autism.
This suggests that the PCSVN\ncould potentially serve as a biomarker for t
he early diagnosis and\ntreatment of autism. Studying PCSVN features in la
rge cohorts requires\na reliable and automated mechanism to extract the va
scular networks.\nIn this talk\, we present a method for PCSVN extraction.
Our algorithm\nbuilds upon a directional multiscale mathematical framewor
k based on a\ncombination of shearlets and Laplacian eigenmaps and can iso
late\nvessels with high success in high-contrast images such as those\npro
duced in CT scans. \n\nJamie Haddock\, Harvey Mudd College\n7:40 pm - 8:00
pm\nTitle: Tensor Models\, Methods\, and Medicine\nAbstract: There is cur
rently an unprecedented demand for efficient\,\nquantitative\, and interpr
etable methods to study large-scale (often\nmulti-modal) data. One key are
a of interest is that of tensor\ndecomposition\, which seeks to automatica
lly learn latent trends or\ntopics of complex data sets\, providing practi
tioners a view of what is\n“going on” inside their data. This talk will su
rvey tools for\ntopic modeling on matrix and tensor data. These tools are
of\ninterest across the many fields and industries producing\, capturing\
,\nand analyzing big data\, but are of particular interest in applications
\nwhere expert supervision is available and often essential (e.g.\,\nmedic
ine). We will describe an application of these methods to\nmedical data\;
an ongoing application to cardiovascular imaging data.
DTSTART:20220524T230000Z
DTEND:20220525T000000Z
LAST-MODIFIED:20220508T170518Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-19
END:VEVENT
BEGIN:VEVENT
UID:62363036-6565-4438-a663-343431303038
DTSTAMP:20220518T204813Z
CREATED:20220328T175316Z
DESCRIPTION:Topic: Terng Lecture: Introduction to Interpretable Machine Lea
rning\n\nSpeakers: Cynthia Rudin\n\nAffiliation: Duke University
DTSTART:20220526T131500Z
DTEND:20220526T141500Z
LAST-MODIFIED:20220328T175334Z
LOCATION:Simonyi Hall\, Room S-101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-1
END:VEVENT
BEGIN:VEVENT
UID:63363964-3733-4335-b431-313062346235
DTSTAMP:20220518T204813Z
CREATED:20220322T175734Z
DESCRIPTION:
DTSTART:20220526T140000Z
DTEND:20220526T160000Z
LAST-MODIFIED:20220322T175815Z
LOCATION:West Lecture Hall
SUMMARY:Floer Learning Seminar
URL:https://www.ias.edu/math/events/floer-learning-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:30356462-3861-4235-b264-363263323261
DTSTAMP:20220518T204813Z
CREATED:20220328T180252Z
DESCRIPTION:Topic: Uhlenbeck Lecture: Foundations for Learning in the Age o
f Big Data\n\nSpeakers: Maria Florina Balcan\n\nAffiliation: Carnegie Mell
on University
DTSTART:20220526T143000Z
DTEND:20220526T153000Z
LAST-MODIFIED:20220516T190629Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-4
END:VEVENT
BEGIN:VEVENT
UID:63336464-6361-4764-b731-373863333261
DTSTAMP:20220518T204813Z
CREATED:20220328T181522Z
DESCRIPTION:Topic: Stochastic Gradient Descent: where optimization meets ma
chine learning\n\nSpeakers: Rachel Ward\n\nAffiliation: University of Texa
s\, Austin\n\nAbstract: Stochastic Gradient Descent (SGD) is the de facto
\noptimization algorithm for training neural networks in modern machine\nl
earning\, thanks to its unique scalability to problem sizes where the\ndat
a points\, the number of data points\, and the number of free\nparameters
to optimize are on the scale of billions. On the one\nhand\, many of the
mathematical foundations for Stochastic Gradient\ndescent were developed
decades before the advent of modern deep\nlearning\, from stochastic appro
ximation to the randomized Kaczmarz\nalgorithm for solving linear systems.
On the other hand\, the\nomnipresence of stochastic gradient descent in
modern machine\nlearning\, and the resulting importance of optimizing perf
ormance of\nSGD in practical settings\, has motivated new algorithmic desi
gns and\nmathematical breakthroughs. In this talk\, we recall some histor
y and\nstate-of-art convergence theory for SGD which is most useful in mod
ern\napplications where it is used. We discuss recent breakthroughs in\nad
aptive gradient variants of stochastic gradient descent\, which go a\nlong
way towards addressing one of the weakest points of SGD: its\nsensitivity
and reliance on hyperparameter tuning.
DTSTART:20220526T154500Z
DTEND:20220526T164500Z
LAST-MODIFIED:20220516T190707Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-9
END:VEVENT
BEGIN:VEVENT
UID:35333437-6163-4539-a239-343230633237
DTSTAMP:20220518T204813Z
CREATED:20220328T182948Z
DESCRIPTION:Topic: Review Sessions
DTSTART:20220526T180000Z
DTEND:20220526T200000Z
LAST-MODIFIED:20220328T183007Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-11
END:VEVENT
BEGIN:VEVENT
UID:39363265-3039-4138-a462-636665366136
DTSTAMP:20220518T204813Z
CREATED:20220328T183524Z
DESCRIPTION:Topic: Young Researcher Seminar\n\nAlane Lima\, Federal Univers
ity of Parana\n4:30 pm -4:50 pm\nTitle: Statistical Learning Theory and Sa
mpling Algorithms for Complex\nNetworks\nAbstract: When dealing with probl
ems in large scale graphs\, using an\nexact algorithm may be inefficient i
n practice. A key idea in our work\nis to use a sampling based approximati
on algorithm that takes into\nconsideration the combinatorial structure of
the problem. Such\nalgorithms may achieve tighter sample size bounds in c
omparison with\nstrategies that use classical bounds of Probability theory
. The study\nof the sample complexity analysis of a particular problem\, w
hich uses\ntools that are in the core of statistical learning theory\, suc
h as\nVC-dimension\, pseudo-dimension\, and Rademacher complexity\, relate
s the\nminimum size that is required for a particular problem and instance
to\nattain desired parameters of quality and confidence of the solution.
\nWhen applied in the design of approximation algorithms for\nwell-known
problems in graphs (e.g. shortest paths and a variety of\ncentrality measu
res)\, this approach leads to efficient solutions for\nproblems of practic
al interest.\n\nLongxiu Huang\, University of California\, Los Angeles\n4:
50 pm - 5:10 pm\nTitle: Matrix Completion with Cross-Concentrated Sampling
\nAbstract: In matrix completion\, uniform sampling has been widely\nstudi
ed and CUR sampling can be applied to approximate a low-rank\nmatrix via r
ow and column samples. Unfortunately\, both sampling models\nare lack of f
lexibility for various circumstances in real-world\napplications. Recently
\, we propose a novel and easy-to-implement\nsampling strategy\, coined Cr
oss-Concentrated Sampling (CCS). By\nbridging uniform sampling and CUR sam
pling\, CCS provides extra\nflexibility that can potentially save sampling
costs in applications.\nMoreover\, we propose a highly efficient non-conv
ex algorithm\, termed\nIterative CUR Completion (ICURC)\, for the proposed
CCS model. In this\ntalk\, I will show the efficiency of our methods on b
oth synthetic and\nreal-world datasets.\n\nSui Tang\, University of Califo
rnia\, Santa Barbara\n5:10 pm - 5:30 pm\nTitle: Data-driven discovery of
interaction laws in multi-agent\nsystems\nAbstract: Multi-agent systems ar
e ubiquitous in science\, from the\nmodeling of particles in Physics to pr
ey-predator in Biology\, to\nopinion dynamics in economics and social scie
nces\, where the\ninteraction law between agents yields a rich variety of
collective\ndynamics. We consider the inference problem for a system of\ni
nteracting particles or agents: given only observed trajectories of\nthe a
gents in the system\, can we learn what the laws of interactions\nare? We
would like to do this without assuming any particular form for\nthe intera
ction laws\, i.e. they might be “any” function of\npairwise distances.\n\n
DTSTART:20220526T203000Z
DTEND:20220526T213000Z
LAST-MODIFIED:20220508T171456Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-14
END:VEVENT
BEGIN:VEVENT
UID:32343365-6166-4463-b465-323565326466
DTSTAMP:20220518T204813Z
CREATED:20211209T235611Z
DESCRIPTION:Topic: Three 20-minute research talks\n\nSpeakers: Daniel Rudol
f\, Miguel Pereira\, Maksim Stokić\n\nAffiliation: Ruhr-Universität Bochu
m\; Augsburg University\; Tel Aviv University\n\nDaniel Rudolf (Ruhr-Unive
rsität Bochum): _Viterbo‘s conjecture for\nLagrangian products in $\mathbb
{R}^4$_\n\nWe show that Viterbo‘s conjecture (for the EHZ-capacity) for co
nvex\nLagrangian products in $\mathbb{R}^4$_ _holds for all Lagrangian\npr
oducts (any trapezoid in $\mathbb{R}^2$) x (any convex body\nin $\mathbb{R
}^2$). Moreover\, we classify all equality cases of\nViterbo’s conjecture
within this configuration and show which of\nthem are symplectomorphic to
a Euclidean ball. As by-product\, we\nconclude sharp systolic Minkowski bi
lliard inequalities for geometries\nwhich have trapezoids as unit balls. F
inally\, we show that the flows\nassociated to the above mentioned equalit
y cases (which are polytopes)\nsatisfy a weak Zoll property\, namely\, tha
t every characteristic that\nis almost everywhere away from lower-dimensio
nal faces is closed\, runs\nover exactly 8 facets\, and minimizes the acti
on.\n\nMiguel Pereira (Augsburg University): _ The Lagrangian capacity of
\ntoric domains_\n\nIn this talk\, I will state a conjecture giving a form
ula for the\nLagrangian capacity of a convex or concave toric domain. Firs
t\, I will\nexplain a proof of the conjecture in the case where the toric
domain\nis convex and 4-dimensional\, using the Gutt-Hutchings capacities
as\nwell as the McDuff-Siegel capacities. Second\, I will explain a proof
\nof the conjecture in full generality\, but assuming the existence of a\n
suitable virtual perturbation scheme which defines the curve counts of\nli
nearized contact homology. This second proof makes use of Siegel's\nhigher
symplectic capacities.\n\nMaksim Stokić (Tel Aviv University): _$C^0$ co
ntact geometry of\nisotropic submanifolds_\n\nHomeomorphism is called cont
act if it can be written as $C^0$-limit\nof contactomorphisms. The contact
version of Eliashberg-Gromov\nrigidity theorem states that smooth contact
homeomorphisms preserve\ncontact structure. Submanifold $L$ of a contact
manifold (Y\, ξ) is\ncalled isotropic if ξ|TL =0. Isotropic submanifolds o
f maximal\ndimension are called Legendrian\, otherwise we call them subcri
tical\nisotropic. In this talk\, we will try to answer whether the isotro
pic\nproperty is preserved by contact homeomorphisms. It is expected that
\nsubcritical isotropic submanifolds are flexible\, while we expect that\n
Legendrians are rigid. We show that subcritical isotropic curves are\nflex
ible\, and we give a new proof of the rigidity of Legendrians in\ndimensio
n 3. Moreover\, we provide a certain type of rigidity of\nLegendrians in h
igher dimensions.\n\n
DTSTART:20220527T131500Z
DTEND:20220527T144500Z
LAST-MODIFIED:20220516T150437Z
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-87
END:VEVENT
BEGIN:VEVENT
UID:33393432-3266-4235-a366-633337373639
DTSTAMP:20220518T204813Z
CREATED:20220328T175406Z
DESCRIPTION:Topic: Terng Lecture: Introduction to Interpretable Machine Lea
rning\n\nSpeakers: Cynthia Rudin\n\nAffiliation: Duke University
DTSTART:20220527T131500Z
DTEND:20220527T141500Z
LAST-MODIFIED:20220328T175440Z
LOCATION:Simonyi Hall\, Room S-101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-2
END:VEVENT
BEGIN:VEVENT
UID:64616637-3137-4239-b765-363536633763
DTSTAMP:20220518T204813Z
CREATED:20220328T180455Z
DESCRIPTION:Topic: Uhlenbeck Lecture: Foundations for Learning in the Age o
f Big Data\n\nSpeakers: Maria Florina Balcan\n\nAffiliation: Carnegie Mell
on University
DTSTART:20220527T143000Z
DTEND:20220527T153000Z
LAST-MODIFIED:20220516T190804Z
LOCATION:Simonyi 101
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-6
END:VEVENT
BEGIN:VEVENT
UID:62303732-3361-4136-a632-353035383062
DTSTAMP:20220518T204813Z
CREATED:20220328T183909Z
DESCRIPTION:Topic: Young Researcher Seminar\n\nJessica Gronsbell\, Universi
ty of Toronto\n11:45 am - 12:05 pm \nTitle: Statistical learning with high
volume\, high noise health data \nAbstract: In this talk\, I will give a
brief overview of my background\nand my path to statistics and machine lea
rning. I will also discuss\nmy current research on the development of sta
tistical learning methods\nfor large observational health data sets such a
s electronic health\nrecords. I will emphasize the importance of knowing
your data and\nembracing its complex structure to make analysis more trust
worthy and\nefficient.\n\n \n\nRachel Freedman\, University of California\
, Berkeley\n\n \n\n12:05 pm - 12:25 pm \nTitle: Objective Misspecification
and Value Alignment\nAbstract: As machine learning (ML) systems become in
creasingly capable\nand general\, it becomes increasingly important to ens
ure that their\nbehavior aligns with human values. However\, specifying re
ward\nfunctions for ML agents that operate in environments without a natur
al\nreward signal can be challenging\, and incorrectly specified rewards\n
can incentivise degenerate or dangerous behavior. A promising\nalternativ
e to manually specifying reward functions is to enable ML\nsystems to infe
r them from human interaction and feedback\, but this is\nsensitive to inc
orrectly specified models of human decision-making. In\nthis talk\, I'll d
iscuss the _objective misspecification problem_ and\nmy work to improve re
ward inference in the face of human model\nmisspecification.\n\nHarlin Lee
\, University of California\, Los Angeles\n12:25 pm - 12:45 pm\nTitle: Ide
ntifying future connections in machine learning topics\n\nAbstract: The fi
eld of artificial intelligence (AI) and machine\nlearning (ML) is exponent
ially growing with no sign of waning\npopularity. As the discipline gets l
arger\, it is impossible for an\nindividual researcher to be familiar with
the entire body of\nliterature. This forces them to specialize in a sub-f
ield. Such\ninsulation can hinder the birth of ideas that arise from new\n
connections\, eventually slowing down scientific progress. As such\,\ndisc
overing fruitful interdisciplinary connections by analyzing\nscientific pu
blications is an important problem in the science of\nscience\, or metasci
ence. We present dynamic-embedding-based methods\nfor link prediction in a
ML semantic network\, where the nodes are\nconcepts in machine learning\,
and the time-stamped edges indicate\nco-occurrence in scientific papers.
\n\n
DTSTART:20220527T154500Z
DTEND:20220527T164500Z
LAST-MODIFIED:20220508T172030Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:2022 Program for Women and Mathematics: The Mathematics of Machine
Learning
URL:https://www.ias.edu/math/wam/events/2022-program-women-and-mathematics-
mathematics-machine-learning-16
END:VEVENT
BEGIN:VEVENT
UID:64323661-6536-4564-b038-623563386464
DTSTAMP:20220518T204813Z
CREATED:20211209T235624Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Guangbo Xu\n\nAffiliation:
Texas A&M University
DTSTART:20220603T131500Z
DTEND:20220603T144500Z
LAST-MODIFIED:20220516T190503Z
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-88
END:VEVENT
BEGIN:VEVENT
UID:63333134-3361-4064-b765-323936323165
DTSTAMP:20220518T204813Z
CREATED:20211209T235650Z
DESCRIPTION:Topic: To Be Announced\n\nSpeakers: Yoel Groman\n\nAffiliation:
The Hebrew University of Jerusalem
DTSTART:20220617T131500Z
DTEND:20220617T144500Z
LAST-MODIFIED:20220516T190737Z
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-90
END:VEVENT
BEGIN:VEVENT
UID:39613937-3738-4435-a434-373166666136
DTSTAMP:20220518T204813Z
CREATED:20220507T124905Z
DESCRIPTION:Topic: Opening Remarks \n\nSpeakers: Peter Sarnak\, Hugh L. Mon
tgomery\, Jon Keating\n\nAffiliation: Institute for Advanced Study\n\nHist
ory of the math
DTSTART:20220621T140000Z
DTEND:20220621T153000Z
LAST-MODIFIED:20220507T125242Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-1
END:VEVENT
BEGIN:VEVENT
UID:33643761-3461-4132-b732-643037653135
DTSTAMP:20220518T204813Z
CREATED:20220506T185922Z
DESCRIPTION:Topic: Statistical mechanics arising from random matrix theory
\n\nSpeakers: Thomas Spencer\n\nAffiliation: Institute for Advanced Study
\n\nThis talk will present some theorems and conjectures about\nthe spectr
al properties of large random matrices and its connection\nto spin systems
with hyperbolic symmetry.
DTSTART:20220621T160000Z
DTEND:20220621T170000Z
LAST-MODIFIED:20220506T190210Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-3
END:VEVENT
BEGIN:VEVENT
UID:35643563-3038-4732-a562-656362643834
DTSTAMP:20220518T204813Z
CREATED:20220507T125311Z
DESCRIPTION:Topic: The distribution of values of zeta and L-functions\n\nSp
eakers: Kannan Soundararajan\n\nAffiliation: Stanford University\n\nAbstra
ct: I will survey recent progress on understanding the value\ndistributio
n of zeta and L-functions. In particular I will discuss\nthe problem of m
oments of the zeta function on the critical line\, and\ncentral values of
L-functions\, where the last twenty five years have\nseen a conjectural u
nderstanding of the asymptotics of these moments\,\ntogether with progress
on obtaining good upper and lower bounds in\nmany situations.
DTSTART:20220621T183000Z
DTEND:20220621T193000Z
LAST-MODIFIED:20220511T175328Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-13
END:VEVENT
BEGIN:VEVENT
UID:66303866-3634-4238-a664-383630363833
DTSTAMP:20220518T204813Z
CREATED:20220506T191852Z
DESCRIPTION:Topic: Moments of large families of Dirichlet L-functions\n\nSp
eakers: Vorrapan Chandee\n\nAffiliation: Kansas State University\n\nSixth
and higher moments of L-functions are important and challenging\nproblems
in analytic number theory. In this talk\, I will discuss my\nrecent joint
works with Xiannan Li\, Kaisa Matom\'aki and Maksym\nRadziw\il\l on an asy
mptotic formula of the sixth and the eighth\nmoment of Dirichlet L-functio
ns averaged over primitive characters mod\nq over all moduli q \leq Q (and
with a short average over critical\nline for the eighth moment). Unlike t
he previous works\, we do not\nneed to include an average on the critical
line for the sixth moment\,\nand we can obtain the eighth moment result wi
thout the Generalized\nRiemann Hypothesis.\n\n
DTSTART:20220621T200000Z
DTEND:20220621T210000Z
LAST-MODIFIED:20220506T192032Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-12
END:VEVENT
BEGIN:VEVENT
UID:63356334-3765-4464-b562-643238306161
DTSTAMP:20220518T204813Z
CREATED:20220507T125457Z
DESCRIPTION:Topic: TBA\n\nSpeakers: Adam Harper\n\nAffiliation: University
of Warwick
DTSTART:20220622T130000Z
DTEND:20220622T140000Z
LAST-MODIFIED:20220507T125633Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-14
END:VEVENT
BEGIN:VEVENT
UID:66326232-3836-4439-a537-316465356336
DTSTAMP:20220518T204813Z
CREATED:20220506T191726Z
DESCRIPTION:Topic: Gaussian multiplicative chaos: applications and recent d
evelopments\n\nSpeakers: Nina Holden\n\nAffiliation: ETH Zurich\n\nI will
give an introduction to Gaussian multiplicative chaos and some\nof its app
lications\, e.g. in Liouville theory. Connections to random\nmatrix theory
and number theory will also be briefly discussed.\n\n
DTSTART:20220622T143000Z
DTEND:20220622T153000Z
LAST-MODIFIED:20220506T191830Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-11
END:VEVENT
BEGIN:VEVENT
UID:61623062-3239-4863-b636-336661383732
DTSTAMP:20220518T204813Z
CREATED:20220506T185752Z
DESCRIPTION:Topic: A few results and conjectures on some product-ratio corr
elation functions of characteristic polynomials of beta-Hermite ensembles
\n\nSpeakers: Yan Fyodorov\n\nAffiliation: King's College London\n\nRank-o
ne non-Hermitian deformations of tridiagonal beta-Hermite\nEnsembles have
been introduced by R. Kozhan several years ago. For a\nfixed N and beta>0
the joint probability density of N complex\neigenvalues was shown to hav
e a form of a nontrivially interacting\ntwo-component Dyson-type Coulomb p
lasma in the lower half of the\ncomplex plane. The problem of extracting
the eigenvalue/eigenvector\ncorrelations in the large-N limit\, including
the simplest one-point\neigenvalue density\, remained outstanding beyond b
eta=2 where the\nplasma was asymptotically determinantal. \n\nWe show how
the computation of the mean eigenvalue density and the\nassociated left-ri
ght non-orthogonal eigenvectors can be reduced to a\ncertain correlation f
unction of products and ratios of characteristic\npolynomials of the unde
rlying beta-Hermite Ensemble. For the\nclassical beta=1\,2\,4 such object
s can be explicitly evaluated but\ngeneral case remains outstanding. At
tempting to study the\nproblem perturbatively we arrive at a similar\, yet
simpler correlation\nfunctions for which we conjecture explicit formulas
for any \beta>0. \nAs a by-product\, we also conjecture associated 'eigen
value\ncurvatures'' distribution characterizing the lowest-order shift in
\nreal parts of eigenvalues induced by the same non-Hermitian\nperturbatio
n. Numerical simulations show reasonable agreement to the\nconjectured ex
pressions for a few non-classical values of beta. The\npresentation is ba
sed on joint works with Mohammed Osman and Rashel\nTublin.
DTSTART:20220622T160000Z
DTEND:20220622T170000Z
LAST-MODIFIED:20220506T185915Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-2
END:VEVENT
BEGIN:VEVENT
UID:64633264-3230-4263-a434-356238613636
DTSTAMP:20220518T204813Z
CREATED:20220506T185245Z
DESCRIPTION:Topic: Large deviation estimates for Selberg’s central limit th
eorem\, applications\, and numerics\n\nSpeakers: Emma Bailey\n\nAffiliatio
n: City University of New York\n\nSelberg’s celebrated central limit theor
em shows that the logarithm\nof the zeta function at a typical point on th
e critical line behaves\nlike a complex\, centered Gaussian random variabl
e with variance\n$\log\log T$. This talk will present recent results showi
ng that the\nGaussian decay persists in the large deviation regime\, at a
level on\nthe order of the variance\, improving on the best known bounds i
n that\nrange. We also present various applications\, including on the\nm
aximum of the zeta function in short intervals\, as well as\ncomplementary
numerics. This work is joint with Louis-Pierre\nArguin.
DTSTART:20220622T183000Z
DTEND:20220622T193000Z
LAST-MODIFIED:20220507T130001Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-0
END:VEVENT
BEGIN:VEVENT
UID:63663038-3462-4165-a332-316465393763
DTSTAMP:20220518T204813Z
CREATED:20220506T184533Z
DESCRIPTION:Topic: The Fyodorov-Hiary-Keating Conjecture\n\nSpeakers: Louis
-Pierre Arguin\n\nAffiliation: City University of New York\n\nIn 2012\, Fy
odorov\, Hiary & Keating and Fyodorov & Keating proposed a\nseries of conj
ectures describing the statistics of large values of\nzeta in short interv
als of the critical line. In particular\, they\nrelate these statistics to
the ones of log-correlated Gaussian fields\nand of characteristic polynom
ials of random matrices. In this lecture\,\nI will present recent results
that answer many aspects of these\nconjectures\, including upper and lower
bounds for the maximum that are\nsharp up to the order of fluctuations. T
he connections with\nlog-correlated Gaussian fields\, in particular branch
ing random walks\,\nwill be emphasized. Based on joint works with P. Bourg
ade and M.\nRadziwill.
DTSTART:20220622T200000Z
DTEND:20220622T210000Z
LAST-MODIFIED:20220507T125919Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference
END:VEVENT
BEGIN:VEVENT
UID:65656135-6166-4431-a535-366162626630
DTSTAMP:20220518T204813Z
CREATED:20220506T191423Z
DESCRIPTION:Topic: RMT statistics in number theory and in quantum chaos\n\n
Speakers: Zeev Rudnick\n\nAffiliation: Tel Aviv University\n\nMontgomery's
pair correlation conjecture ushered a new paradigm into\nthe theory of th
e Riemann zeta function\, that of the occurrence of\nRandom Matrix Theory
statistics\, as developed in part by Dyson\, into\nthe theory. A parallel
development was the introduction of the same\nparadigm into the study of q
uantum systems having a chaotic classical\nlimit. In this talk I will surv
ey these ideas\, emphasizing problems in\nquantum chaos\, and describe a n
ew perspective from the theory of\nmoduli spaces of Riemann surfaces\, as
developed by Mizrakhani.
DTSTART:20220623T130000Z
DTEND:20220623T140000Z
LAST-MODIFIED:20220509T203320Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-9
END:VEVENT
BEGIN:VEVENT
UID:65303161-3137-4565-a364-313636396465
DTSTAMP:20220518T204813Z
CREATED:20220506T190243Z
DESCRIPTION:Topic: Negative moments of the Riemann zeta function\n\nSpeaker
s: Alexandra Florea\n\nAffiliation: University of California\, Irvine\n\nI
will talk about recent work towards a conjecture of Gonek regarding\nnega
tive shifted moments of the Riemann zeta function. I will explain\nhow to
obtain asymptotic formulas when the shift in the Riemann zeta\nfunction is
big enough\, and how we can obtain non-trivial upper bounds\nfor smaller
shifts. Joint work with H. Bui.
DTSTART:20220623T143000Z
DTEND:20220623T153000Z
LAST-MODIFIED:20220506T190442Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-4
END:VEVENT
BEGIN:VEVENT
UID:34643366-3630-4738-a539-316539366239
DTSTAMP:20220518T204813Z
CREATED:20220506T190830Z
DESCRIPTION:Topic: Half-Isolated Zeros and Zero-Density Estimates\n\nSpeake
rs: Kyle Pratt\n\nAffiliation: University of Oxford\n\nWe introduce a new
zero-detecting method which is sensitive to the\nvertical distribution of
zeros of the zeta function. This allows us to\nshow that there are few ‘ha
lf-isolated’ zeros. If we assume that\nthe zeros of the zeta function are
restricted to finitely many\nvertical lines\, then we can improve the clas
sical zero-density result\nof Ingham-Huxley to _N _(_σ\, T _) _T _24(1_−σ_
)_/_11+_o_(1) (and\nso give new results about primes in short intervals un
der this\nassumption). This is joint work with James Maynard.
DTSTART:20220623T160000Z
DTEND:20220623T170000Z
LAST-MODIFIED:20220506T191037Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-6
END:VEVENT
BEGIN:VEVENT
UID:65663566-6531-4339-a263-353534366435
DTSTAMP:20220518T204813Z
CREATED:20220506T190511Z
DESCRIPTION:Topic: The recipe for moments of $L$-functions and characterist
ic polynomials of random matrices\n\nSpeakers: Sieg Baluyot\n\nAffiliation
: American Institute of Mathematics\n\nIn 2005\, Conrey\, Farmer\, Keating
\, Rubinstein\, and Snaith formulated a\n'recipe' that leads to precise co
njectures for the asymptotic behavior\nof integral moments of various fami
lies of $L$-functions. They also\nproved exact formulas for moments of cha
racteristic polynomials of\nrandom matrices\, and observed that these form
ulas have an almost\nidentical form to their conjectures for the correspon
ding families of\n$L$-functions. In this talk\, we will discuss recent pro
gress towards\ntheir conjectures and survey a few applications of their fo
rmulas.\nThese will include joint work with Brian Conrey and Caroline\nTur
nage-Butterbaugh.
DTSTART:20220623T183000Z
DTEND:20220623T193000Z
LAST-MODIFIED:20220506T190752Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-5
END:VEVENT
BEGIN:VEVENT
UID:36616632-3139-4533-a162-333632336533
DTSTAMP:20220518T204813Z
CREATED:20220506T191245Z
DESCRIPTION:Topic: Sums of certain arithmetic functions over $\mathbb{F}_q[
T]$ and non-unitary distributions\n\nSpeakers: Matilde Lalin\n\nAffiliatio
n: University of Montreal\n\nIn 2018 Keating\, Rodgers\, Roditty-Gershon a
nd Rudnick established\nrelationships of the mean-square of sums of the di
visor function\n$d_k(f)$ over short intervals and over arithmetic progress
ions\nfor the function field $\mathbb{F}_q[T]$ to certain\nintegrals over
the ensemble of unitary matrices when $q \rightarrow\n\infty$. We study si
milar problems leading to integrals over the\nensembles of symplectic and
orthogonal matrices when $q \rightarrow\n\infty$. This is joint work with
Vivian Kuperberg.
DTSTART:20220624T130000Z
DTEND:20220624T140000Z
LAST-MODIFIED:20220506T191357Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-8
END:VEVENT
BEGIN:VEVENT
UID:37393565-3635-4563-b638-666363386232
DTSTAMP:20220518T204813Z
CREATED:20211209T235704Z
DESCRIPTION:Topic: The Ruelle invariant and convexity in higher dimensions
\n\nSpeakers: Julian Chaidez\n\nAffiliation: Member\, School of Mathematic
s\n\nI will explain how to construct the Ruelle invariant of a symplectic
\ncocycle over an arbitrary measure preserving flow. I will provide\nexamp
les and computations in the case of Hamiltonian flows and Reeb\nflows (in
particular\, for toric domains). As an application of this\ninvariant\, I
will construct toric examples of dynamically convex\ndomains that are not
symplectomorphic to convex ones in any dimension.\n\nThis talk is based on
joint works arXiv:2012.12869 and\narXiv:2205.00935 with Oliver Edtmair.
DTSTART:20220624T131500Z
DTEND:20220624T144500Z
LAST-MODIFIED:20220516T190944Z
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-91
END:VEVENT
BEGIN:VEVENT
UID:30373962-3032-4163-a464-613863386136
DTSTAMP:20220518T204813Z
CREATED:20220506T191548Z
DESCRIPTION:Topic: Large sieve inequalities for families of L-functions\n\n
Speakers: Matt Young\n\nAffiliation: Texas A&M University\n\nLarge sieve i
nequalities are useful and flexible tools for\nunderstanding families of L
-functions. The quality of the bound is\none measure of our understanding
of the corresponding family. For\ninstance\, they may directly give rise
to good bounds for certain\nmoments of L-functions. In this talk\, I wil
l survey this problem and\ndiscuss recent progress for some new families.
DTSTART:20220624T143000Z
DTEND:20220624T153000Z
LAST-MODIFIED:20220506T191659Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-10
END:VEVENT
BEGIN:VEVENT
UID:63373234-6332-4363-b465-376562653561
DTSTAMP:20220518T204813Z
CREATED:20220506T191050Z
DESCRIPTION:Topic: Moments and bounds for L-functions of large degree\n\nSp
eakers: Paul Nelson\n\nAffiliation: Institute for Advanced Study\n\nWe wil
l discuss recent results concerning the problem of establishing\nrigorous
moment estimates and subconvex bounds for L-functions of\nlarge degree.
DTSTART:20220624T160000Z
DTEND:20220624T170000Z
LAST-MODIFIED:20220509T203227Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:50 Years of Number Theory and Random Matrix Theory Conference
URL:https://www.ias.edu/events/50-years-number-theory-and-random-matrix-the
ory-conference-7
END:VEVENT
BEGIN:VEVENT
UID:36663262-3039-4634-b037-333662633163
DTSTAMP:20220518T204813Z
CREATED:20211209T235731Z
DESCRIPTION:Topic: To Be Announced
DTSTART:20220708T131500Z
DTEND:20220708T144500Z
LAST-MODIFIED:20211209T235738Z
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-93
END:VEVENT
BEGIN:VEVENT
UID:37656565-3239-4630-b662-636365373535
DTSTAMP:20220518T204813Z
CREATED:20211209T235744Z
DESCRIPTION:Topic: To Be Announced
DTSTART:20220715T131500Z
DTEND:20220715T144500Z
LAST-MODIFIED:20211209T235750Z
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-94
END:VEVENT
BEGIN:VEVENT
UID:34326337-6461-4362-a535-393263363163
DTSTAMP:20220518T204813Z
CREATED:20200110T181651Z
DESCRIPTION:
DTSTART:20220919T130000Z
DTEND:20220919T130000Z
LAST-MODIFIED:20210104T030021Z
LOCATION:
SUMMARY:IAS School of Mathematics Term I Begins
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-i-begins-1
END:VEVENT
BEGIN:VEVENT
UID:32626338-6537-4937-b964-366331643662
DTSTAMP:20220518T204813Z
CREATED:20200110T181736Z
DESCRIPTION:
DTSTART:20221216T230000Z
DTEND:20221216T230000Z
LAST-MODIFIED:20210104T030117Z
LOCATION:
SUMMARY:IAS School of Mathematics Term I Ends
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-i-ends-1
END:VEVENT
BEGIN:VEVENT
UID:30653134-3561-4632-a564-343539643534
DTSTAMP:20220518T204813Z
CREATED:20200110T181823Z
DESCRIPTION:
DTSTART:20230116T140000Z
DTEND:20230116T140000Z
LAST-MODIFIED:20210104T030214Z
LOCATION:
SUMMARY:IAS School of Mathematics Term II Begins
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-ii-begins-1
END:VEVENT
BEGIN:VEVENT
UID:62633661-6235-4631-b735-386466313735
DTSTAMP:20220518T204813Z
CREATED:20200110T181909Z
DESCRIPTION:
DTSTART:20230414T220000Z
DTEND:20230414T220000Z
LAST-MODIFIED:20210104T030312Z
LOCATION:
SUMMARY:IAS School of Mathematics Term II Ends
URL:https://www.ias.edu/math/events/ias-school-mathematics-term-ii-ends-1
END:VEVENT
END:VCALENDAR