BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//18a41c55e5f61d2a42b10cd7e21d5df0.ias.edu//NONSGML kigkonsult.se iCalcreator 2.41.90//
CALSCALE:GREGORIAN
UID:30346433-3232-4336-a639-316437306437
X-WR-TIMEZONE:UTC
X-WR-CALNAME:IAS Mathematics
BEGIN:VEVENT
UID:39646266-3433-4962-a537-653866353565
DTSTAMP:20240418T115558Z
CREATED:20231206T174729Z
DESCRIPTION:Topic: Cabling Families of Legendrian Embeddings \n\nSpeakers:
Eduardo Fernández\n\nI will discuss a recursive formula for the homotopy t
ype of the space\nof Legendrian embeddings of sufficiently positive cables
with the\nmaximal Thurston-Bennequin invariant. Via this formula\, we ide
ntify\ninfinitely many new components within the space of Legendrian\nembe
ddings in the standard contact 3-sphere that satisfy an injective\nh-princ
iple. These components include those containing positive\nLegendrian torus
knots with the maximal Thurston-Bennequin invariant.\nThis work is a coll
aboration with Hyunki Min.
DTSTART:20240119T141500Z
DTEND:20240119T154500Z
LAST-MODIFIED:20240119T174126Z
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-137
END:VEVENT
BEGIN:VEVENT
UID:38316430-3637-4334-b330-626564633837
DTSTAMP:20240418T115558Z
CREATED:20231207T152209Z
DESCRIPTION:Topic: Marton's Conjecture\, aka the Polynomial Freiman--Ruzsa
Conjecture\n\nSpeakers: Frederick Manners\n\nA function $f : \mathbb{F}_2^
n \to \mathbb{F}_2^n$ is linear if\n$f(x+y)=f(x)+f(y)$ for all pairs $(x\,
y)$.\n\nSuppose $f$ is 'a bit linear' -- say\, $f(x+y)=f(x)+f(y)$ for 1% o
f\npairs $(x\,y)$. Must $f$ agree with a truly linear function a\npositiv
e proportion of the time? How large a proportion?\n\nThis question turns
out to be equivalent to asking for good\nquantitative bounds in the Freima
n--Ruzsa theorem\, a foundational\nresult in additive combinatorics. Mart
on gave a formulation\,\nequivalent to the statement above\, which she con
jectured should have\npolynomial bounds. I will outline a recent proof of
this\nconjecture.\n\nJoint work with Timothy Gowers\, Ben Green and Teren
ce Tao.
DTSTART:20240122T160000Z
DTEND:20240122T170000Z
LAST-MODIFIED:20240403T153245Z
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-558
END:VEVENT
BEGIN:VEVENT
UID:61363532-6461-4938-b734-396664316234
DTSTAMP:20240418T115558Z
CREATED:20231206T151726Z
DESCRIPTION:Topic: Tangent Bundles in p-adic Geometry\n\nSpeakers: Sean How
e\n\nBecause of the existence of approximate p-power roots\, a perfectoid
\nalgebra over Q_p admits no continuous derivations\, and thus the\nnatura
l Kahler tangent space of a perfectoid space over Q_p is\nidentically zero
. However\, it turns out that many perfectoid spaces\n(or more general dia
monds) arising from constructions involving rigid\nanalytic varieties and
their cohomology can be equipped with the extra\nstructure of a Banach-Col
mez Tangent Bundle\, and using these Tangent\nBundles natural period maps
can be differentiated. As a first example\,\nTangent Bundles for infinite
level basic EL local Shimura varieties\nhave been computed by Ivanov and W
einstein using a heuristic\nconstruction due to Fargues and Scholze. Howev
er\, in this talk\, we are\ninterested primarily in examples that go beyon
d the purview of the\nFargues-Scholze heuristic. We will focus on the firs
t non-trivial case\nof the infinite level modular curve\, where we can des
cribe the main\npoints without assuming too much background with perfectoi
d rings or\np-adic geometry. In this case\, the existence of the Tangent B
undle is\na consequence of an explicit quotient presentation of a closely
\nrelated space derived from (a simple case of) the p-adic Simpson\ncorres
pondence. Using this presentation\, we will explain how to\ndifferentiate
certain functions along Vector Fields in order to\nrecover the annihilatio
n property of Pan’s geometric Sen morphism\,\nhow to differentiate the Hod
ge-Tate period map\, and how to relate this\nTangent Bundle to a local con
struction via the Fargues-Scholze\nheuristic after restriction to good red
uction residue disks. Time\npermitting\, we will finish with a brief descr
iption of how the theory\ncan be extended beyond infinite level modular cu
rves.
DTSTART:20240122T203000Z
DTEND:20240122T213000Z
LAST-MODIFIED:20240205T151001Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-12
END:VEVENT
BEGIN:VEVENT
UID:32343766-3264-4330-b462-313962613134
DTSTAMP:20240418T115558Z
CREATED:20231212T163308Z
DESCRIPTION:Topic: Online Discrepancy Minimization\n\nSpeakers: Victor Reis
\n\nThe online discrepancy minimization problem asks\, given unit vectors
\nv_1\, ...\, v_t arriving one at a time\, for online signs x_1 ...\, x_t4
\nin {-1\, 1} so that the signed sum x_1 v_1 + ... + x_t v_t has small\nco
ordinates in absolute value. \n\nIn the first half of the talk\, we survey
previous work in the adaptive\nand oblivious settings. In the second half
\, we present an online\nalgorithm for the oblivious setting which keeps s
igned sums\n10-subgaussian.\n\nBased on joint work with Janardhan Kulkarni
and Thomas Rothvoss.\n\n
DTSTART:20240123T153000Z
DTEND:20240123T173000Z
LAST-MODIFIED:20240123T124539Z
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-552
END:VEVENT
BEGIN:VEVENT
UID:30303963-6435-4535-a338-383931353664
DTSTAMP:20240418T115558Z
CREATED:20231128T141908Z
DESCRIPTION:Topic: Formal Groups via Unipotent Homotopy Theory\n\nSpeakers:
Shubhodip Mondal
DTSTART:20240123T190000Z
DTEND:20240123T191500Z
LAST-MODIFIED:20240116T211810Z
LOCATION:
SUMMARY:Short Talks by Postdoctoral Members
URL:https://www.ias.edu/events/short-talks-postdoctoral-members-353
END:VEVENT
BEGIN:VEVENT
UID:65363765-6633-4337-a264-303164656539
DTSTAMP:20240418T115558Z
CREATED:20231128T142430Z
DESCRIPTION:Topic: Hodge Theory for p-adic Analytic Varieties\n\nSpeakers:
Guido Bosco
DTSTART:20240123T192000Z
DTEND:20240123T193500Z
LAST-MODIFIED:20240116T211834Z
LOCATION:
SUMMARY:Short Talks by Postdoctoral Members
URL:https://www.ias.edu/events/short-talks-postdoctoral-members-354
END:VEVENT
BEGIN:VEVENT
UID:31666264-3531-4237-b438-626164303237
DTSTAMP:20240418T115558Z
CREATED:20240109T145122Z
DESCRIPTION:Topic: Motivic Cohomology of Singular Schemes: A Dégustation\n
\nSpeakers: Elden Elmanto
DTSTART:20240124T190000Z
DTEND:20240124T200000Z
LAST-MODIFIED:20240403T153332Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-8
END:VEVENT
BEGIN:VEVENT
UID:38623361-6664-4330-a365-333765633439
DTSTAMP:20240418T115558Z
CREATED:20240118T181239Z
DESCRIPTION:Topic: Organizational Meeting\n\nSpeakers: Mingjia Zhang
DTSTART:20240125T150000Z
DTEND:20240125T170000Z
LAST-MODIFIED:20240118T183800Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:36326534-3363-4864-a339-623365653133
DTSTAMP:20240418T115558Z
CREATED:20231204T165135Z
DESCRIPTION:Topic: Manin's Conjecture For Spherical Fano Threefolds\n\nSpea
kers: Ulrich Derenthal\n\n_When an algebraic variety over the rational num
bers contains\ninfinitely many rational points\, we may study their distri
bution. In\nparticular\, for Fano varieties\, the asymptotic behavior of t
he number\nof rational points of bounded height is predicted by Manin’s\nc
onjecture._\n\n_In this talk\, we discuss a proof of Manin’s conjecture fo
r smooth\nspherical Fano threefolds. In one case\, in order to obtain the
\nexpected asymptotic formula\, it is necessary to exclude a thin subset\n
with exceptionally many rational points from the count. This is joint\nwor
k with V. Blomer\, J. Brüdern and G. Gagliardi._
DTSTART:20240125T213000Z
DTEND:20240125T223000Z
LAST-MODIFIED:20240126T124531Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-8
END:VEVENT
BEGIN:VEVENT
UID:31623164-3036-4164-a632-313236393336
DTSTAMP:20240418T115558Z
CREATED:20240112T144317Z
DESCRIPTION:Topic: Three 20 Minute Research Talks \n\nSpeakers: Johanna Bim
mermann \, Soham Chanda \, Valerio Assenza\n\n *\nJOHANNA BIMMERMANN : From
Magnetically Twisted to Hyperkähler \n\nThe tangent bundle of a Kähler ma
nifold admits in a neighborhood of\nthe zero section a hyperkähler structu
re. From a symplectic point of\nview\, this means we have three symplectic
structures all compatible\nwith a single metric. Two of the three symplec
tic structures are easy\nto describe in terms of the canonic symplectic st
ructure. The third\none is harder to describe\, but in the case of hermiti
an symmetric\nspaces\, there is an explicit formula found by Biquard and G
auduchon.\nIn this talk\, I will construct a surprising diffeomorphism of
the\ntangent bundle of a hermitian symmetric space that identifies this\nt
hird symplectic structure with the magnetically twisted symplectic\nstruct
ure\, where the twist is given by the Kähler form on the base.\n\n \n\n *\n
SOHAM CHANDA : Augmentation Varieties and Disk Potential \n\nDimitroglou-R
izell-Golovko constructs a family of Legendrians in\nprequantization bundl
es by taking lifts of monotone Lagrangians. These\nlifted Legendrians have
a Morse-Bott family of Reeb chords. We\nconstruct a version of Legendrian
Contact Homology (LCH) for\nRizell-Golovko's lifted Legendrians by counti
ng treed disks. Our\nformalism of LCH allows us to obtain augmentations fr
om certain\nnon-exact fillings. We prove a conjecture of Rizell-Golovko re
lating\nthe augmentation variety assoiciated to the LCH of a lifted Legend
rian\nand the disk potential of the base Lagrangian. As an application\, w
e\nshow that lifts of monotone Lagrangian tori in projective spaces with\n
different disk-potentials\, e.g. as constructed by Vianna\, produce\nnon-i
sotopic Legendrian tori in contact spheres. The above work is a\njoint pro
ject with Blakey\, Sun and Woodward \n\n \n\n *\nVALERIO ASSENZA : On the G
eometry of Magnetic Flows\n\nA magnetic system is the toy model for the mo
tion of a charged\nparticle moving on a Riemannian manifold endowed with a
magnetic\nforce. To a magnetic flow we associate an operator\, called the
\nmagnetic curvature operator. Such an operator encodes together the\ngeom
etrical properties of the Riemannanian structure together with\nterms of p
erturbation due to magnetic interaction\, and it carries\ncrucial informat
ions of the magnetic dynamics. For instance\, in this\ntalk\, we see how a
level of the energy positively curved\, in this new\nmagnetic sense\, car
ries a periodic orbit. We also generalize to the\nmagnetic case the classi
cal Hopf's rigity and we introduce the notion\nof magnetic flatness for cl
osed surfaces\n\n \n
DTSTART:20240126T141500Z
DTEND:20240126T154500Z
LAST-MODIFIED:20240126T140617Z
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-138
END:VEVENT
BEGIN:VEVENT
UID:35363434-3366-4663-a333-303664653836
DTSTAMP:20240418T115558Z
CREATED:20240118T180928Z
DESCRIPTION:Topic: Organizational Meeting\n\nSpeakers: Grigory Andreychev\n
\nThe topic of the learning seminar this semester is 'Analytic\nK-theory''
. More precisely\, the goal is to use condensed mathematics\nto obtain a n
otion of quasi-coherent sheaves/complexes in rigid\nanalytic geometry\, de
velop Efimov's approach to K-theory which applies\nto such categories of s
heaves\, and finally prove a\nGrothendieck-Riemann-Roch theorem in this co
ntext.
DTSTART:20240126T193000Z
DTEND:20240126T213000Z
LAST-MODIFIED:20240118T181036Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:39636166-3366-4365-b739-373865356231
DTSTAMP:20240418T115558Z
CREATED:20231207T142637Z
DESCRIPTION:Topic: Hawking Mass Monotonicity for Initial Data Sets\n\nSpeak
ers: Sven Hirsch\n\nAn interesting feature of General Relativity is the pr
esence of\nsingularities which can occur in even the simplest examples suc
h as\nthe Schwarzschild spacetime. However\, in this case the singularity
is\ncloaked behind the event horizon of the black hole which has been\ncon
jectured to be generically the case. To analyze this so-called\nCosmic Cen
sorship Conjecture\, Roger Penrose proposed in 1973 a test\nwhich involves
Hawking's area theorem\, the final state conjecture and\na geometric ineq
uality on initial data sets (M\,g\,k). For k=0 this\nso-called Penrose ine
quality has been proven by Gerhard Huisken and\nTom Ilmanen via inverse me
an curvature flow and by Hubert Bray using\nthe conformal flow\, but in ge
neral the question is wide open. I will\npresent a new approach to spaceti
me inverse mean curvature flow via\ndouble null foliations which is the fi
rst instance where there are\nboth monotonicity and exsitence results. Thi
s is based on spacetime\nharmonic functions which have been introduced tog
ether with Demetre\nKazaras and Marcus Khuri in the context of the spaceti
me positive mass\ntheorem.
DTSTART:20240126T193000Z
DTEND:20240126T203000Z
LAST-MODIFIED:20240205T151029Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-20
END:VEVENT
BEGIN:VEVENT
UID:33353563-3136-4537-b032-303561383631
DTSTAMP:20240418T115558Z
CREATED:20231212T161845Z
DESCRIPTION:Topic: The Tree Evaluation Problem: Context and Recent Results
\n\nSpeakers: Ian Mertz\n\nThe Tree Evaluation Problem has emerged in the
past decade as a\nleading candidate for separating logspace from polynomia
l time. In\nthis talk we will introduce the problem\, as well as the conte
xt behind\nits introduction and conjectured hardness. We then review recen
t lines\nof work challenging this conjecture\, leading up to a recent resu
lt\ntogether with James Cook showing near-logspace algorithms for Tree\nEv
aluation.
DTSTART:20240129T160000Z
DTEND:20240129T170000Z
LAST-MODIFIED:20240129T125957Z
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-559
END:VEVENT
BEGIN:VEVENT
UID:31633934-6339-4538-a332-633438656432
DTSTAMP:20240418T115558Z
CREATED:20240112T154414Z
DESCRIPTION:Topic: Taut Foliations Through a Contact Lens\n\nSpeakers: Thom
as Massoni\n\nIn the late '90s\, Eliashberg and Thurston established a rem
arkable\nconnection between foliations and contact structures in dimension
\nthree: any co-oriented\, aspherical foliation on a closed\, oriented\n3-
manifold can be approximated by positive and negative contact\nstructures.
Additionally\, when the foliation is taut\, its contact\napproximations a
re (universally) tight. In this talk\, I will present a\nconverse result c
oncerning the construction of taut foliations from\nsuitable pairs of cont
act structures. I will also describe a\ncomprehensive dictionary between t
he languages of foliations and of\n(pairs of) contact structures. Although
taut foliations are usually\nconsidered rigid objects\, this contact view
point reveals some degree\nof flexibility. As an application\, I will show
that taut foliations\nsurvive after performing large slope surgeries alon
g transverse\nknots. \n
DTSTART:20240129T173000Z
DTEND:20240129T184500Z
LAST-MODIFIED:20240129T131347Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:63326431-3266-4565-b164-623663343138
DTSTAMP:20240418T115558Z
CREATED:20231204T183739Z
DESCRIPTION:Topic: Convergence of Unitary Representations and Spectral Gaps
of Manifolds\n\nSpeakers: Michael Robert Magee\n\nLet G be an infinite di
screte group. Finite dimensional unitary\nrepresentations of G are usually
quite hard to understand. However\,\nthere are interesting notions of con
vergence of such representations\nas the dimension tends to infinity. One
notion — strong convergence\n— is of interest both from the point of view
of G alone but also\nthrough recently realized applications to spectral ga
ps of locally\nsymmetric spaces. For example\, this notion bypasses (uncon
ditionally)\nthe use of Selberg's Eigenvalue Conjecture in obtaining exist
ence of\nlarge area hyperbolic surfaces with near-optimal spectral gaps.\n
\nThe talk is a discussion on these themes\, based on joint works with\nW.
\n\nHide\, L. Louder\, D. Puder\, J. Thomas.
DTSTART:20240129T190000Z
DTEND:20240129T200000Z
LAST-MODIFIED:20240129T201221Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-59
END:VEVENT
BEGIN:VEVENT
UID:62383734-6135-4165-a634-373238653061
DTSTAMP:20240418T115558Z
CREATED:20231206T151759Z
DESCRIPTION:Topic: Intermediate Extension in Arithmetic Statistics\n\nSpeak
ers: Will Sawin\n\nDavenport-Heilbronn and Bhargava counted cubic\, quarti
c\, and quintic\nfields by first counting a larger set of orbits in some p
rehomogenous\nvector space and then sieving out the orbits corresponding t
o fields.\nSeveral mathematicians have studied moments of Dirichlet L-func
tions\nby first estimating multiple Dirichlet series which are sums of\nDi
richlet L-functions times auxiliary terms and then sieving out the\nmoment
s of L-functions. Recent results of myself and my student Kevin\nChang\, b
uilding on ideas of Diaconu-Pasol\, Ellenberg-Tran-Westerland\,\nand Kapra
nov-Schechtman\, demonstrate that both of these strategies\, in\nthe funct
ion field context\, have the same geometric intepretation:\nFirst sum the
Frobenius trace function of the intermediate extension\nof some sheaf of i
nterest and then sieve out the sum of the trace\nfunction of the original
sheaf. I will explain this interpretation and\nspeculate on its consequenc
es.
DTSTART:20240129T203000Z
DTEND:20240129T213000Z
LAST-MODIFIED:20240122T180801Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-13
END:VEVENT
BEGIN:VEVENT
UID:62646233-3464-4863-a537-633833386363
DTSTAMP:20240418T115558Z
CREATED:20231212T163412Z
DESCRIPTION:Topic: Omniprediction and Multigroup Fairness\n\nSpeakers: Pari
kshit Gopalan\n\nConsider a scenario where we are learning a predictor\, w
hose\npredictions will be evaluated by their expected loss. What if we do
\nnot know the precise loss at the time of learning\, beyond some\ngeneric
properties (like convexity)? What if the same predictor will\nbe used in
several applications in the future\, each with their own\nloss function? C
an we still learn predictors that have strong\nguarantees? \n\nThis motiva
tes the notion of omnipredictors: predictors with strong\nloss minimizatio
n guarantees across a broad family of loss\nfunctions\, relative to a benc
hmark hypothesis class. Omniprediction\nturns out to be intimately connect
ed to multigroup fairness notions\nsuch as multicalibration\, and also to
other topics like boosting\, swap\nregret minimization\, and the approxima
te rank of matrices. This talk\nwill present some recent work in this area
\, emphasizing these\nconnections.
DTSTART:20240130T153000Z
DTEND:20240130T173000Z
LAST-MODIFIED:20240130T134400Z
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-553
END:VEVENT
BEGIN:VEVENT
UID:64373533-6161-4730-a233-316532643864
DTSTAMP:20240418T115558Z
CREATED:20240109T145241Z
DESCRIPTION:Topic: Sen Operators and Lie Algebras Arising From Galois Repre
sentations Over $p$-adic Varieties\n\nSpeakers: Tongmu He
DTSTART:20240131T190000Z
DTEND:20240131T200000Z
LAST-MODIFIED:20240321T152137Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-9
END:VEVENT
BEGIN:VEVENT
UID:63376331-6466-4264-a536-343839656238
DTSTAMP:20240418T115558Z
CREATED:20240118T181450Z
DESCRIPTION:Topic: The Geometry of the Classical Bun$_G$\n\nSpeakers: Kestu
tis Cesnavicius
DTSTART:20240201T150000Z
DTEND:20240201T170000Z
LAST-MODIFIED:20240321T152049Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:38653435-3639-4261-b764-626637623437
DTSTAMP:20240418T115558Z
CREATED:20231204T183226Z
DESCRIPTION:Topic: On the Factorization of the System of Beilinson-Kato\n\n
Speakers: Pierre Colmez\n\nI will explain how to factor the system of Beil
inson-Kato elements as\na product of two modular symbols (an algebraic ava
tar of the\nRankin-Selberg formula). This is joint work with Shanwen Wang
.
DTSTART:20240201T213000Z
DTEND:20240201T223000Z
LAST-MODIFIED:20240126T191701Z
LOCATION:214 Fine Hall Princeton University
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-2
END:VEVENT
BEGIN:VEVENT
UID:34363964-6234-4565-b637-653536646362
DTSTAMP:20240418T115558Z
CREATED:20240126T154503Z
DESCRIPTION:Topic: Recollections on K-theory\n\nSpeakers: Matthew Morrow\n
\nDefine the Grothendieck group of a commutative ring. Then define K1\nand
K2 and \nstate Matsumoto’s theorem. Explain the definitions of higher\nK-
theory in terms of the \n+-construction and in terms of the∞-group complet
ion of groupoid of\nfinite projective modules. Define K0 of a stable ∞-cat
egory and\nsketch the Quillen Q-construction and the Waldhausen S-construc
tion.\nState the Gillet–Waldhausen resolution theorem for the K-theory of
\nrings. Finally\, explain the characterization of K-theory as\nthe univer
sal additive invariant of stable ∞-categories.
DTSTART:20240202T193000Z
DTEND:20240202T213000Z
LAST-MODIFIED:20240126T154531Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:63613334-6362-4862-b238-613864656163
DTSTAMP:20240418T115558Z
CREATED:20231207T142659Z
DESCRIPTION:Topic: Robin Harmonic Measure in Rough Domains\n\nSpeakers: Ste
fano Decio\n\nI will describe the construction of a harmonic measure that
reproduces\na harmonic function from its Robin boundary data\, which is a
\ncombination of the value of the function and its normal derivative. I\ns
hall discuss the surprising fact that this measure turns out to be\n(quant
itatively) mutually absolutely continuous with respect to\nsurface measure
on a wide class of domains that includes the\ncomplement of certain fract
als. \n\nBased on joint work with Guy David\, Max Engelstein\, Svitlana Ma
yboroda\nand Marco Michetti.
DTSTART:20240202T193000Z
DTEND:20240202T203000Z
LAST-MODIFIED:20240205T151123Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-21
END:VEVENT
BEGIN:VEVENT
UID:37343231-3538-4538-a634-383636626439
DTSTAMP:20240418T115558Z
CREATED:20231212T162042Z
DESCRIPTION:Topic: Expanding the Reach of P Not Equal to NP: the Minimum Ci
rcuit Size Problem with a Random Oracle is NP-hard\n\nSpeakers: Rahul Ilan
go\n\nIn this talk\, I will discuss progress on showing hardness of the\nM
inimum Circuit Size Problem (MCSP). The computational complexity of\nMCSP
is a longstanding mystery\, dating back as far as Levin's seminal\nwork on
NP-completeness in 1973. Over the past several years\,\nresearchers have
utilized MCSP's seemingly special properties\n(properties not known for\,
say\, SAT) to prove intriguing connections\nbetween MCSP and other areas o
f theoretical computer science\,\nincluding learning theory\, cryptography
\, average-case complexity\, and\nproof complexity. \n\nWe give\, in our v
iew\, the strongest evidence yet that MCSP is in fact\nNP-complete (and th
us that SAT does indeed have these special\nproperties) by giving a reduct
ion in the presence of a 'random\noracle.' In particular our results yield
the first candidate reduction\nfrom SAT to MCSP and show that the existen
ce of sufficiently\n'unstructured' functions implies a problem with a know
n\n(non-black-box) worst-case to average-case reduction is NP-complete.\nC
uriously\, a key part of our reduction involves computing a\ncryptographic
proof of work.\n\nNo background knowledge on MCSP or other areas of compl
exity is\nrequired!
DTSTART:20240205T160000Z
DTEND:20240205T170000Z
LAST-MODIFIED:20240403T153442Z
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-560
END:VEVENT
BEGIN:VEVENT
UID:64666435-6166-4235-a463-376366613839
DTSTAMP:20240418T115558Z
CREATED:20240112T154456Z
DESCRIPTION:Topic: Augmentation Varieties and Disk Potential\n\nSpeakers: S
oham Chanda \n\nDimitroglou-Rizell-Golovko constructs a family of Legendri
ans in\nprequantization bundles by taking lifts of monotone Lagrangians. T
hese\nlifted Legendrians have a Morse-Bott family of Reeb chords. We\ncons
truct a version of Legendrian Contact Homology(LCH) for\nRizell-Golovko's
lifted Legendrians by counting treed disks. Our\nformalism of LCH allows u
s to obtain augmentations from certain\nnon-exact fillings. We prove a con
jecture of Rizell-Golovko relating\nthe augmentation variety associated to
the LCH of a lifted Legendrian\nand the disk potential of the base Lagran
gian. As an application\, we\nshow that lifts of monotone Lagrangian tori
in projective spaces with\ndifferent disk-potentials\, e.g. as constructed
by Vianna\, produce\nnon-isotopic Legendrian tori in contact spheres. The
above work is a\njoint project with Blakey\, Sun and Woodward.
DTSTART:20240205T173000Z
DTEND:20240205T184500Z
LAST-MODIFIED:20240205T192733Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:35386661-3762-4261-b131-363436356135
DTSTAMP:20240418T115558Z
CREATED:20231204T183804Z
DESCRIPTION:Topic: Dynamical Asymmetry Is $C^1$-Typical\n\nSpeakers: Amie W
ilkinson\n\nAbstract: I will discuss a result with Bonatti and Crovisier f
rom 2009\nshowing that the $C^1$ generic diffeomorphism f of a closed mani
fold\nhas trivial centralizer\; i.e. fg = gf implies that g is a power of
f.\nI’ll discuss features of the $C^1$ topology that enable our proof\n(th
e analogous statement is open in general in the $C^r$ topology\, for\n$r>1
$). I’ll also discuss some features of the proof and some recent\nwork\, j
oint with Danijela Damjanovic and Disheng Xu that attempts to\ntackle the
non-generic case.
DTSTART:20240205T190000Z
DTEND:20240205T200000Z
LAST-MODIFIED:20240205T203222Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-60
END:VEVENT
BEGIN:VEVENT
UID:62303336-3935-4236-b064-636565626461
DTSTAMP:20240418T115558Z
CREATED:20231206T152020Z
DESCRIPTION:Topic: Truncated (G\,mu)-Displays and Conjectures of Drinfeld\n
\nSpeakers: Keerthi Madapusi\n\nWe report on proofs of some recent conject
ures of Drinfeld on the\nalgebraicity of formal stacks associated with min
uscule cocharacters\nof smooth group schemes over Z_p. These stacks are co
nstructed using\nthe theory of syntomification as developed by Bhatt-Lurie
and\nDrinfeld\, and yield an essentially linear algebraic window to the\n
world of p-divisible groups\, generalizing classical Dieudonne\ntheory. \n
\nThis is joint work with Zachary Gardner and Akhil Mathew.
DTSTART:20240205T203000Z
DTEND:20240205T213000Z
LAST-MODIFIED:20240403T153518Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-14
END:VEVENT
BEGIN:VEVENT
UID:38633361-3865-4464-a266-653136633833
DTSTAMP:20240418T115558Z
CREATED:20231212T163613Z
DESCRIPTION:Topic: An Exponential Lower Bound on Three Query\, Linear Local
ly Correctable Codes\n\nSpeakers: Pravesh Kothari\n\nI will prove that the
block length of every linear 3-query Locally\nCorrectable Code (LCC) with
a constant distance over any small field\ngrows _exponentially_ with k\,
the dimension of the code. This result\ngives the first separation between
LCCs and LDCs where it is known\nthat 3-query codes of subexponential len
gth exist. (A q-query LCC is a\ncode where every coordinate of a codeword
can be recovered whp from q\nqueries into a corrupted codeword provided th
e fraction of errors is a\nsmall (but positive) constant. In contrast\, an
LDC only allows for\nrecovery of some linearly independent set $k$ of the
$n$ coordinates.)\n\nMy goal is to explain the following conceptual idea
in the talk: You\ncan often take an arbitrary combinatorial object (such a
s a local code\nwith some rate) and associate it with a family of satisfia
ble XOR\nformulas (e.g.\, encoding that the local checks 'work'). Proving
the\nunsatisfiability of a randomly chosen member of this family yields th
e\nimpossibility of the existence of this combinatorial object (in our\nca
se a code with the given rate.) We might naturally turn to the\nlarge body
of tools for analyzing random XOR formulas. Unfortunately\,\nin our setti
ng\, the transformation from codes produces formulas on $n$\nvariables usi
ng roughly only polylog n bits of randomness so one\ncannot hope for a pro
of of the unsatisfiability of the formulas via\nnaive probabilistic analys
is. \n\nThe new 'ace up our sleeve' is a class of spectral methods that ca
n\nprove even such 'randomness-starved' formulas unsatisfiable. These\nspe
ctral methods are based on variants of 'Kikuchi matrices' for\nwhich\, the
re is now an emerging set of tools for analyzing the\nspectral properties
via tight connections to the 'local' combinatorial\nstructure of the targe
t XOR formula. \n\nBased on joint work with Peter Manohar (CMU).
DTSTART:20240206T153000Z
DTEND:20240206T173000Z
LAST-MODIFIED:20240403T153549Z
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-554
END:VEVENT
BEGIN:VEVENT
UID:64376331-3633-4333-b565-613765356266
DTSTAMP:20240418T115558Z
CREATED:20240108T141148Z
DESCRIPTION:Topic: Pure Mathematics As Applied Physics\n\nSpeakers: Tadashi
Tokieda\n\nHumans tend to be better at physics than at mathematics. Afte
r all\,\nwhen an apple falls from a tree\, there are more people who can c
atch\nit—they know physically how the apple moves—than people who can\ncom
pute its trajectory from a differential equation. Applying\nphysical idea
s to discover and understand mathematical results is\ntherefore natural\,
even if it has not been tried so often in the\nhistory of science. (The e
xceptions include Archimedes\, some old\nRussian sources\, a recent book o
f Levi’s\, as well as articles and\nlectures by yours truly.) A variety o
f elementary yet surprising\nexamples will be presented.
DTSTART:20240206T190000Z
DTEND:20240206T200000Z
LAST-MODIFIED:20240207T123449Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Ruth and Irving Adler Expository Lecture in Mathematics
URL:https://www.ias.edu/math/events/ruth-and-irving-adler-expository-lectur
e-mathematics-6
END:VEVENT
BEGIN:VEVENT
UID:34393434-6363-4031-a463-316130336164
DTSTAMP:20240418T115558Z
CREATED:20240109T145837Z
DESCRIPTION:Topic: Dieudonné Theory via Prismatic F-gauges\n\nSpeakers: Shu
bhodip Mondal\n\nIn this talk\, I will first describe how classical Dieudo
nne module of\nfinite flat group schemes and $p$-divisible groups can be r
ecovered\nfrom crystalline cohomology of classifying stacks. Then\, I will
\nexplain how in mixed characteristics\, using classifying stacks\, one\nc
an define Dieudonné module of a finite locally free group scheme as\na pri
smatic F-gauge (prismatic F-gauges have been recently introduced\nby Drinf
eld and Bhatt--Lurie)\, which gives a fully faithful functor\nfrom finite
locally free group schemes over a quasi-syntomic algebra\nto the category
of prismatic F-gauges. This can be seen as a\ngeneralisation of the work o
f Anschütz--Le Bras on 'prismatic\nDieudonne theory' to torsion situations
.
DTSTART:20240207T190000Z
DTEND:20240207T200000Z
LAST-MODIFIED:20240321T151944Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:33363562-6366-4231-b536-303037366561
DTSTAMP:20240418T115558Z
CREATED:20240126T150614Z
DESCRIPTION:Topic: The Fargues-Fontaine Curve\n\nSpeakers: Guido Bosco
DTSTART:20240208T150000Z
DTEND:20240208T170000Z
LAST-MODIFIED:20240126T150613Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:31353738-3861-4135-a233-333463323763
DTSTAMP:20240418T115558Z
CREATED:20231204T165155Z
DESCRIPTION:Topic: A Pair Correlation Surface Associated to the Zeros of th
e Riemann Zeta Function\n\nSpeakers: Alexandru Zaharescu\n\nWe discover a
surface related to the pair correlation of zeros of the\nRiemann zeta func
tion. We make a conjecture on the shape of the\nsurface and present partia
l results and numerical evidence towards the\nconjecture. This is joint wo
rk with Debmalya Basak\, Cruz Castillo and\nDi Liu.
DTSTART:20240208T213000Z
DTEND:20240208T223000Z
LAST-MODIFIED:20240208T214946Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-9
END:VEVENT
BEGIN:VEVENT
UID:34613035-6132-4430-b064-353536653431
DTSTAMP:20240418T115558Z
CREATED:20240112T145543Z
DESCRIPTION:Topic: Extensible Positive Loops and Vanishing of Symplectic Co
homology\n\nSpeakers: Dylan Cant\n\nI will discuss the relationship betwee
n positive loops of\ncontactomorphisms of a fillable contact manifold and
the symplectic\ncohomology (SH) of the filling. The main result is that th
e existence\nof a positive loop which is 'extensible' implies SH vanishes.
We also\ndiscuss the relationship between non-extensible loops and exotic
\nmapping classes in the symplectomorphism group. The results have a\nrela
tive (Lagrangian) formulation: an extensible positive loop of\nfillable Le
gendrians implies the wrapped Floer cohomology of the\nfilling vanishes. A
s an application\, one obtains a criterion for a\npositive loop to be non-
extensible\; interestingly enough\,\nnon-extensible loops provide a nice c
onstruction of exotic symplectic\nmapping classes (in the absolute case) a
nd exotic Lagrangian fillings\n(in the relative case).
DTSTART:20240209T141500Z
DTEND:20240209T154500Z
LAST-MODIFIED:20240403T153640Z
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-139
END:VEVENT
BEGIN:VEVENT
UID:61396432-6233-4236-b033-323131653439
DTSTAMP:20240418T115558Z
CREATED:20231207T142719Z
DESCRIPTION:Topic: Existence of Four Minimal Spheres in S^3 with a Bumpy Me
tric\n\nSpeakers: Xin Zhou\n\nIn 1982\, S. T. Yau conjectured that there e
xists at least four\nembedded minimal 2-spheres in the 3-sphere with an ar
bitrary metric.\nIn this talk\, we will show that this conjecture holds tr
ue for bumpy\nmetrics and metrics with positive Ricci curvature.\n\nThis i
s a joint work with Zhichao Wang (Fudan University).
DTSTART:20240209T193000Z
DTEND:20240209T203000Z
LAST-MODIFIED:20240305T132407Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-22
END:VEVENT
BEGIN:VEVENT
UID:38303935-3539-4765-a662-363963326165
DTSTAMP:20240418T115558Z
CREATED:20240201T140008Z
DESCRIPTION:Topic: Dualizable Categories\n\nSpeakers: Achim Krause\n\nIntro
duce the notion of stable compactly generated $\infty$-category\nand discu
ss its properties and some examples. In particular\, prove\nthat the $\inf
ty$-category of small idempotent complete stable\n$\infty$-categories is e
quivalent to the $\infty$-category of\ncompactly generated stable $\infty$
-categories with strongly\ncontinuous functors. After that\, recall the de
finition of dualizable\nobject in a symmetric monoidal ($\infty$)category.
Briefly review the\nLurie tensor product of (stable) presentable $\infty$
-categories and\nthen discuss the notion of dualizable stable $\infty$-cat
egories.\nProve some of its equivalent characterizations: as retracts of\n
compactly generated stable $\infty$-categories\, in terms of the double\nl
eft adjoint to the Yoneda embedding\, and in terms of compact maps. If\nti
me permits\, prove that the $\infty$-category of sheaves of spectra\non a
locally compact Hausdorff topological space is dualizable.
DTSTART:20240209T193000Z
DTEND:20240209T213000Z
LAST-MODIFIED:20240201T140221Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-12
END:VEVENT
BEGIN:VEVENT
UID:37343139-3761-4337-b365-353563623064
DTSTAMP:20240418T115558Z
CREATED:20231212T162206Z
DESCRIPTION:Topic: Advances in Parallel and Private Stochastic Optimization
from Ball Acceleration\n\nSpeakers: Kevin Tian\n\nConsider an oracle whic
h takes a point $x$ and returns the minimizer\nof a convex function $f$ in
an $\ell_2$ ball of radius $r$ around $x$.\nWhile it is straightforward t
o show that $\approx r^{-1}$ queries to\nthis oracle suffice to minimize $
f$ to high accuracy in a unit ball\,\nperhaps surprisingly\, we establishe
d recently that $r^{-2/3}$ queries\nis the tight rate up to logarithmic fa
ctors. The resulting framework\,\nalso known as ball acceleration\, has ad
vanced the state-of-the-art for\na host of fundamental optimization proble
ms exhibiting local\nstability. I will provide an overview of the ball acc
eleration\nframework\, its approximation-tolerant implementation\, and its
\napplications\, with an emphasis on parallel and private variants of\nsto
chastic convex optimization and outstanding open directions.
DTSTART:20240212T160000Z
DTEND:20240212T170000Z
LAST-MODIFIED:20240212T151243Z
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-561
END:VEVENT
BEGIN:VEVENT
UID:66613266-3338-4137-a337-663036383534
DTSTAMP:20240418T115558Z
CREATED:20240112T154534Z
DESCRIPTION:Topic: Gromov-WItten Invariants of Riemann-Finsler Manifolds\n
\nSpeakers: Yasha (Yakov) Savelyev\n\nI will give a construction of certai
n Q-valued deformation invariants\nof (in particular) complete non-positiv
ely curved Riemannian\nmanifolds. These are obtained as certain elliptic G
romov-Witten curve\ncounts. As one immediate application we give the (poss
ibly) first\n generalization to non-compact fibrations\, of Preissman's no
w\nclassical theorem on non-existence of negative sectional curvature\nmet
rics on compact products. One additional goal of the talk is to use\nthe a
bove theory to motivate a very elementary but deep open problem\nin Rieman
nian geometry/dynamics concerning existence of Reebable and\ngeodesible sk
y catastrophes. I will give a partial answer to this\nproblem for surfaces
.
DTSTART:20240212T173000Z
DTEND:20240212T184500Z
LAST-MODIFIED:20240212T191013Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:33326366-3663-4339-b332-356238346264
DTSTAMP:20240418T115558Z
CREATED:20231204T183824Z
DESCRIPTION:Topic: Conservation Laws\, Traffic and Autonomy\n\nSpeakers: Be
nedetto Piccoli\n\nAffiliation: Rutgers-Camden/IAS\n\nThe problem of contr
ol of large multi-agent systems\, such as vehicular\ntraffic\, poses many
challenges both for the development of\nmathematical models and their anal
ysis and the application to real\nsystems. First\, we discuss how conserva
tion laws can be used for\nmacroscopic description of traffic\, then prese
nt some results for\nmean-field limit of controlled systems. Finally\, we
describe on a\nrecent experiment involving 100 autonomous vehicles to damp
en\nstop-and-go waves on an open highway.
DTSTART:20240212T190000Z
DTEND:20240212T200000Z
LAST-MODIFIED:20240213T125023Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-61
END:VEVENT
BEGIN:VEVENT
UID:32316561-3963-4138-a633-666539386134
DTSTAMP:20240418T115558Z
CREATED:20231212T163652Z
DESCRIPTION:Topic: Reconstruction on Trees and Hypertrees\n\nSpeakers: Yuzh
ou Gu\n\nConsider the process where a signal propagates downward an infini
te\nrooted tree. On every edge some independent noise is applied to the\ns
ignal. The reconstruction problem asks whether it is possible to\nreconstr
uct the original signal given observations of signals received\nat vertice
s deep in the tree. This problem was first studied in the\n1970s in statis
tical physics\, and has found applications in noisy\ncomputation\, communi
ty detection\, genetics\, and so on. The hypertree\nversion of the reconst
ruction problem has relationships with problems\nsuch as random constraint
satisfaction problems and hypergraph\ncommunity detection.\n\nIn this tal
k I will discuss some recent progress on reconstruction\nproblems on trees
and hypertrees. In particular\, for a class of\nreconstruction on hypertr
ees problems\, we determine the exact\nreconstruction threshold for a wide
range of parameters. Two different\nmethods are used\, each with its adva
ntages and drawbacks. One method\nis based on strong data processing inequ
alities (SDPIs) and their\nmulti-terminal variants\, yielding non-asymptot
ic impossibility results\nthat are strong and sometimes tight. The other m
ethod is based on\nlarge degree asymptotics and robust reconstruction\, wh
ich gives tight\nimpossibility results in the large degree regime. An info
rmation\ntheoretic perspective plays an important role in these methods.\n
\nBased on joint works with Aaradhya Pandey and Yury Polyanskiy.\n\n
DTSTART:20240213T153000Z
DTEND:20240213T173000Z
LAST-MODIFIED:20240213T143814Z
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-555
END:VEVENT
BEGIN:VEVENT
UID:35323038-3730-4034-b930-366236613636
DTSTAMP:20240418T115558Z
CREATED:20240125T152337Z
DESCRIPTION:Topic: Motivic Cohomology of Mixed Characteristic Schemes\n\nSp
eakers: Tess Bouis\n\nI will present a new theory of motivic cohomology fo
r general (qcqs)\nschemes. It is related to non-connective algebraic K-the
ory via an\nAtiyah-Hirzebruch spectral sequence. In particular\, it is\nno
n-$A^1$-invariant in general\, but it recovers classical motivic\ncohomolo
gy on smooth schemes over a Dedekind domain after\n$A^1$-localisation. The
construction relies on the syntomic cohomology\nof Bhatt-Morrow-Scholze a
nd the cdh-local motivic cohomology of\nBachmann-Elmanto-Morrow\, and gene
ralises the construction of\nElmanto-Morrow in the case of schemes over a
field.
DTSTART:20240214T190000Z
DTEND:20240214T200000Z
LAST-MODIFIED:20240214T123033Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:66656630-3439-4136-b061-303865643538
DTSTAMP:20240418T115558Z
CREATED:20240112T153646Z
DESCRIPTION:Topic: Ergodic Theory Beyond Birkhoff's Theorem\n\nSpeakers: Al
ex Eskin\n\nThe classical Birkhoff individual ergodic theorem states that
in the\npresence of an ergodic invariant measure\, almost every orbit is\n
uniformly distributed with respect to the measure. For many\napplications
(in particular to number theory)\, it is necessary to\nunderstand the topo
logical and statistical properties of every (and\nnot only almost every) o
rbit. I will briefly survey the history of\nthis subject\, starting with t
he foundational work of Ratner and\nMargulis\, and hopefully get to some r
ecent developments which changed\nmy perspective of the area.
DTSTART:20240214T230000Z
DTEND:20240215T010000Z
LAST-MODIFIED:20240209T181721Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-270
END:VEVENT
BEGIN:VEVENT
UID:36343135-3735-4438-b232-633765356263
DTSTAMP:20240418T115558Z
CREATED:20240126T150728Z
DESCRIPTION:Topic: Vector Bundles on the Fargues-Fontaine Curve I\n\nSpeake
rs: Tasos Moulinos
DTSTART:20240215T150000Z
DTEND:20240215T170000Z
LAST-MODIFIED:20240126T150727Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:38663231-3266-4436-b838-313730376636
DTSTAMP:20240418T115558Z
CREATED:20240206T131336Z
DESCRIPTION:Topic: What are the Gromov–Witten Invariants?\n\nSpeakers: Shir
a Tanny
DTSTART:20240215T180000Z
DTEND:20240215T190000Z
LAST-MODIFIED:20240403T153723Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-19
END:VEVENT
BEGIN:VEVENT
UID:32353231-3130-4733-a633-666666613434
DTSTAMP:20240418T115558Z
CREATED:20231204T165638Z
DESCRIPTION:Topic: A P-Adic Analogue of a Theorem of Narasimhan and Seshadr
i\n\nSpeakers: Fabrizio Andreatta\n\nGiven a compact Riemann surface\, a c
lassical theorem of of Narasimhan\nand Seshadri characterize vector bundle
s arising from unitary\nrepresentations of the fundamental group as the po
lystable vector\nbundles of degree 0. Given a projective curve with good r
eduction over\na local field of mixed charateristic 0-p\, works of Falting
s and\nDeninger Werner associate semistable Higgs bundles of degree 0 to\n
representations of the fundamental group. We explain some progress\ntoward
s the question of characterizing which vector bundles arise in\nthis way
DTSTART:20240215T213000Z
DTEND:20240215T223000Z
LAST-MODIFIED:20240209T142313Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-12
END:VEVENT
BEGIN:VEVENT
UID:32306636-6230-4839-b730-623430356434
DTSTAMP:20240418T115558Z
CREATED:20240112T151731Z
DESCRIPTION:Topic: Symplectic Capacities of Domains Close to the Ball and B
anach-Mazur Geodesics in the Space of Contact Forms\n\nSpeakers: Alberto A
bbondandolo\n\nAn old open question in symplectic topology is whether all
normalized\ncapacities coincide on convex bounded domains in the standard
\nsymplectic vector space. I will discuss this question for domains\nwhich
are close to the Euclidean ball and its connection with the\ngeometry of
the space of contact forms with a Banach-Mazur\npseudo-metric. This talk i
s based on a recent joint work with Gabriele\nBenedetti and Oliver Edtmair
.
DTSTART:20240216T141500Z
DTEND:20240216T154500Z
LAST-MODIFIED:20240216T142328Z
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-140
END:VEVENT
BEGIN:VEVENT
UID:37396264-3735-4266-b964-363065383365
DTSTAMP:20240418T115558Z
CREATED:20240201T140519Z
DESCRIPTION:Topic: Efimov K-Theory\n\nSpeakers: Jacob Lurie\n\nIntroduce th
e notion of Verdier sequences of presentable stable\n$\infty$-categories a
nd then discuss the behavior of dualizable\n$\infty$-categories in Verdier
sequence\; in particular\, discuss\nThomason's trick. Introduce the notio
n of localizing invariants of\nsmall stable $\infty$-categories and then i
llustrate it by\nnon-connective $K$-theory. In particular\, define negativ
e $K$-groups\nfor commutative rings by classical means and then explain it
s relation\nto the definition of non-connective $K$-theory as the universa
l\nlocalizing $\mathrm{Sp}$-valued invariant under $\mathrm{core}$.\nFollo
wing Efimov\, prove that localizing invariants extend uniquely to\nall dua
lizable stable $\infty$-categories.
DTSTART:20240216T193000Z
DTEND:20240216T213000Z
LAST-MODIFIED:20240201T140518Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:31656534-6666-4136-a631-613432303937
DTSTAMP:20240418T115558Z
CREATED:20231207T142736Z
DESCRIPTION:Topic: Quantitative Regularity Theory for the Axisymmetric Navi
er-Stokes Equations\n\nSpeakers: Stan Palasek\n\nIn the search for possibl
e blow-up of the incompressible Navier-Stokes\nequations\, there has been
much recent attention on the class of\naxisymmetric solutions with swirl.
Several interesting structures of\nthis system have led to regularity crit
eria that are unknown for the\ngeneral system. This talk concerns quantita
tive regularity theorems\nwhich\, among other things\, can constrain the n
umerical search for\nblow-up. For instance\, if the solution concentrates
down to length\nscale L in an approximately self-similar way\, we prove th
at the\ndimensionless 'size'' of the profile must be at least (log log\n(1
/L))^c. More generally\, all subcritical norms of the solution can be\ncon
trolled explicitly in terms of the critical weak-L^3 norm. \n\nThis is joi
nt work with Wojciech Ozanski (FSU).
DTSTART:20240216T193000Z
DTEND:20240216T203000Z
LAST-MODIFIED:20240305T132439Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-23
END:VEVENT
BEGIN:VEVENT
UID:32643564-6165-4539-a538-336433633433
DTSTAMP:20240418T115558Z
CREATED:20231208T184545Z
DESCRIPTION:Topic: Witt-Differential Operators\n\nSpeakers: Christopher Dod
d\n\nWe describe a new theory of sheaves of rings of differential operator
s\non the Witt-vectors on a smooth scheme characteristic p. Roughly\nspeak
ing\, these sheaves are to the de Rham-Witt complex as the usual\nsheaf of
differential operators is to the de Rham complex. Further\,\nthe module t
heory of these rings generalizes and extends the category\nof crystals\; w
e will explain how the associated formalism gives very\ngeneral comparison
theorems between crystalline cohomology of a\ncrystal and the the de Rham
-Witt cohomology with values in that\ncrystal.
DTSTART:20240219T203000Z
DTEND:20240219T213000Z
LAST-MODIFIED:20240214T135935Z
LOCATION:Simonyi Hall 101
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-9
END:VEVENT
BEGIN:VEVENT
UID:38316236-3937-4231-b934-653835643439
DTSTAMP:20240418T115558Z
CREATED:20231212T163732Z
DESCRIPTION:Topic: Analyzing the Max Entropy Algorithm for TSP\n\nSpeakers:
Nathan Klein\n\nI will discuss recent progress on approximating the metri
c traveling\nsalesperson problem\, focusing on a line of work beginning in
2011 that\nstudies the behavior of the max entropy algorithm. This algori
thm is a\nrandomized variant of the beautiful Christofides-Serdyukov algor
ithm\nfrom the 1970s which adds a minimum cost matching to the odd vertice
s\nof a minimum cost spanning tree. \n\nAfter giving a survey of importan
t concepts and results\, I will sketch\na proof that the max entropy algor
ithm is a better-than-3/2\napproximation for metric TSP. This sketch will
particularly emphasize\nthe utility of viewing the max entropy distributio
n over spanning\ntrees as a polynomial with a zero-free region. I will als
o discuss\nrecent work on lower bounds and derandomization\, as well as hi
ghlight\nopen directions. We are still far from understanding the worst ca
se\nperformance of this algorithm.\n\nBased on joint works with Anna Karli
n\, Shayan Oveis Gharan\, Leonid\nGurvits\, Jonathan Leake\, Billy Jin\, a
nd David Williamson.
DTSTART:20240220T153000Z
DTEND:20240220T173000Z
LAST-MODIFIED:20240208T151305Z
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-556
END:VEVENT
BEGIN:VEVENT
UID:64626436-6339-4037-a136-646565633563
DTSTAMP:20240418T115558Z
CREATED:20240209T144610Z
DESCRIPTION:Topic: Crystals and $q$-Calculus\n\nSpeakers: Michel Gros\n\nI
will present two settings where $q$-De Rham and prismatic vector\nbundles
can be described in terms of modules over an appropriate ring\nof $q$-twis
ted differential operators and also the relation with\nformer results. \n
\nThis is a joint work with Adolfo Quirós and B. Le Stum.
DTSTART:20240221T190000Z
DTEND:20240221T200000Z
LAST-MODIFIED:20240403T153804Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:33376261-3530-4261-b937-643762336434
DTSTAMP:20240418T115558Z
CREATED:20240126T150857Z
DESCRIPTION:Topic: Banach-Colmez Spaces\n\nSpeakers: Bogdan Zavyalov
DTSTART:20240222T150000Z
DTEND:20240222T170000Z
LAST-MODIFIED:20240126T150856Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:37333035-3763-4165-b633-313737366162
DTSTAMP:20240418T115558Z
CREATED:20240207T190441Z
DESCRIPTION:Topic: What are Anosov Representations?\n\nSpeakers: Fanny Kass
el
DTSTART:20240222T180000Z
DTEND:20240222T190000Z
LAST-MODIFIED:20240403T153828Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-21
END:VEVENT
BEGIN:VEVENT
UID:39313837-6335-4361-b436-376237373335
DTSTAMP:20240418T115558Z
CREATED:20231204T165216Z
DESCRIPTION:Topic: On Eisenstein’s Jugendtraum for Complex Cubic Fields \n
\nSpeakers: Pierre Charollois\n\nIn the early 2000’s Ruijsenaars and Felde
r-Varchenko\nhave introduced the elliptic gamma function\, a\nremarkable m
ultivariable meromorphic q-series that comes from\nmathematical physics. I
t satisfies modular functional equations under\nthe group SL3(Z) which mak
e it a higher dimensional analogue of the\nJacobi theta function. In this
work\, we unveil the place that this\nfunction and its avatars play in num
ber theory. Our main thesis is\nthat these functions play the role of modu
lar units in extending the\ntheory of complex multiplication to complex cu
bic fields. In other\nwords we propose a conjectural solution to Hilbert’s
12th problem\nfor complex cubic fields\, following a line of research act
ually\ninitiated G. Eisenstein. We give a lot of numerical evidences that
\nsupport this conjecture\, and relate it to the Stark conjecture by\nprov
ing an analogue of the Kronecker limit formula in this cubic\nsetting. Th
is is joint work with Nicolas Bergeron and Luis Garcia.\n\nThis talk is de
dicated to the memory of Nicolas Bergeron.
DTSTART:20240222T213000Z
DTEND:20240222T223000Z
LAST-MODIFIED:20240223T125113Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-13
END:VEVENT
BEGIN:VEVENT
UID:32656139-3337-4463-a561-313964633665
DTSTAMP:20240418T115558Z
CREATED:20240112T151800Z
DESCRIPTION:Topic: Floer-Theoretic Corrections to the Geometry of Moduli Sp
aces of Lagrangian Tori\n\nSpeakers: Denis Auroux\n\nGiven a Lagrangian to
rus fibration on the complement of an\nanticanonical divisor in a Kahler m
anifold\, one usually constructs a\nmirror space by gluing local charts (m
oduli spaces of objects of the\nFukaya category supported on generic torus
fibers) via wall-crossing\ntransformations determined by counts of Maslov
index 0 holomorphic\ndiscs\; this mirror also comes equipped with a regul
ar function (the\nsuperpotential) which enumerates Maslov index 2 holomorp
hic discs.\nHolomorphic discs of negative Maslov index deform this picture
by\nintroducing inconsistencies in the wall-crossing transformations\; th
e\ngeometric features of the corrected moduli space of objects of the\nFuk
aya category can be understood in the language of extended\ndeformations o
f Landau-Ginzburg models. We will illustrate this\nphenomenon on an explic
it example (a 4-fold obtained by blowing up a\ntoric variety)\, and\, if t
ime permits\, discuss a family Floer approach\nto the geometry of the corr
ected mirror in this setting.
DTSTART:20240223T141500Z
DTEND:20240223T154500Z
LAST-MODIFIED:20240223T125833Z
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-141
END:VEVENT
BEGIN:VEVENT
UID:37376132-6166-4335-a566-663862343434
DTSTAMP:20240418T115558Z
CREATED:20231207T142801Z
DESCRIPTION:Topic: Chaos in Lattice Spin Glasses and Some Questions for Ana
lysts\n\nSpeakers: Sourav Chatterjee\n\nIn spite of tremendous progress in
the mean-field theory of spin\nglasses in the last forty years\, culminat
ing in Giorgio Parisi’s\nNobel Prize in 2021\, the more “realistic” short-
range spin glass\nmodels have remained almost completely intractable. In t
his talk\, I\nwill show that the ground states of short-range spin glasses
are\nchaotic with respect to small perturbations of the disorder\, settli
ng\na conjecture made by Daniel Fisher and David Huse in 1986. The proof\n
proceeds by converting the physics problem into a problem in analysis.\nMo
st of the major questions in the field\, however\, remain open. I will\nou
tline a general plan for converting these questions to problems in\nanalys
is\, and pose them to the analysts in the audience.
DTSTART:20240223T193000Z
DTEND:20240223T203000Z
LAST-MODIFIED:20240305T132515Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-24
END:VEVENT
BEGIN:VEVENT
UID:61613334-6361-4439-a533-376636353835
DTSTAMP:20240418T115558Z
CREATED:20240201T140647Z
DESCRIPTION:Topic: Animated Analytic Rings\n\nSpeakers: Guido Bosco\n\nReca
ll the notion of condensed analytic ring\, then introduce its\nanimated va
riant and discuss its properties. Explain the construction\nof induced ana
lytic structures on animated condensed rings. Introduce\nthe notion of ste
ady maps of analytic rings and discuss its properties\nand some examples.
For a discrete Huber pair $(A\,A^+)$\, explain the\nconstruction of the an
alytic ring $(A\,A^+)_\blacksquare$.
DTSTART:20240223T193000Z
DTEND:20240223T213000Z
LAST-MODIFIED:20240201T140646Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:64313366-3361-4964-b563-633835373636
DTSTAMP:20240418T115558Z
CREATED:20240126T151434Z
DESCRIPTION:Topic: Vector Bundles on the Fargues-Fontaine Curve II\n\nSpeak
ers: Kalyani Kansal
DTSTART:20240226T140000Z
DTEND:20240226T154500Z
LAST-MODIFIED:20240207T162735Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-27
END:VEVENT
BEGIN:VEVENT
UID:31623736-3235-4331-b836-383034313661
DTSTAMP:20240418T115558Z
CREATED:20231212T162510Z
DESCRIPTION:Topic: Stability and Learning in Strategic Games\n\nSpeakers: É
va Tardos\n\nOver the last two decades we have developed good understandin
g how to\nquantify the impact of strategic user behavior on outcomes in ma
ny\ngames (including traffic routing and online auctions) and showed that
\nthe resulting bounds extend to repeated games assuming players use a\nfo
rm of learning (no-regret learning) to adapt to the environment. We\nwill
review how this area evolved since its early days\, and also\ndiscuss some
of the new frontiers\, including when repeated\ninteractions have carry-o
ver effects between rounds: when outcomes in\none round effect the game in
the future\, as is the case in many\napplications. \n\nIn this talk\, we
study this phenomenon in the context of a game\nmodeling queuing systems:
routers compete for servers\, where packets\nthat do not get served need t
o be resent\, resulting in a system where\nthe number of packets at each r
ound depends on the success of the\nrouters in the previous rounds. In joi
nt work with Jason Gaitonde\, we\nanalyze the resulting highly dependent r
andom processes\, and show\nbounds on the resulting budgeted welfare for a
uctions and the excess\nserver capacity needed to guarantee that all packe
ts get served in the\nqueuing system despite the selfish (myopic) behavior
of the\nparticipants. We will briefly mention work with Giannis Fikioris
in a\ndifferent game\, repeated auction with budgets\, where the same issu
e\narises also.
DTSTART:20240226T160000Z
DTEND:20240226T170000Z
LAST-MODIFIED:20240226T123722Z
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-563
END:VEVENT
BEGIN:VEVENT
UID:65363961-6638-4666-b861-353464653235
DTSTAMP:20240418T115558Z
CREATED:20240112T154706Z
DESCRIPTION:Topic: Hofer-Wysocki-Zehnder's Conjecture on Two or Infinitely
Many Orbits\n\nSpeakers: Daniel Cristofaro-Gardiner\n\nIn their 2001 paper
\, Hofer\, Wysocki and Zehnder conjectured that every\nautonomous Hamilton
ian flow has either two or infinitely many simple\nperiodic orbits on any
compact star-shaped energy level\; in the same\npaper\, the authors prove
this assuming in addition that the flow is\nnondegenerate and the stable a
nd unstable manifolds of all hyperbolic\norbits intersect transversally\,
a condition which holds generically. I\nwill explain recent joint work res
olving this conjecture. Our results\nalso apply to show that every Finsler
metric on the two-sphere has\neither two or infinitely many prime closed
geodesics\, answering a\nquestion attributed to Alvarez Paiva\, Bangert an
d Long.
DTSTART:20240226T173000Z
DTEND:20240226T184500Z
LAST-MODIFIED:20240226T193242Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-12
END:VEVENT
BEGIN:VEVENT
UID:31653234-3334-4436-b230-366633656137
DTSTAMP:20240418T115558Z
CREATED:20240125T162232Z
DESCRIPTION:Topic: Minimal Surfaces and the Isoperimetric Inequality\n\nSpe
akers: Simon Brendle\n\nThe isoperimetric inequality has a long history in
the geometry. In\nthis lecture\, we will discuss how the isoperimetric in
equality can be\ngeneralized to submanifolds in Euclidean space. As a spec
ial case\, we\nobtain a sharp isoperimetric inequality for minimal submani
folds of\ncodimension at most 2\, thereby answering a question going back
to work\nof Carleman. The proof of that inequality is inspired by\, but do
es not\nactually use\, optimal transport.
DTSTART:20240226T190000Z
DTEND:20240226T200000Z
LAST-MODIFIED:20240226T193405Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-106
END:VEVENT
BEGIN:VEVENT
UID:30663362-3566-4466-b664-633834353835
DTSTAMP:20240418T115558Z
CREATED:20231206T182136Z
DESCRIPTION:Topic: Prismatization and the Image of the J-homomorphism\n\nSp
eakers: Arpon Raksit\n\nFor p a prime number\, Bhatt–Lurie and Drinfeld de
fined the\nprismatization of a p-complete commutative ring R. I will overv
iew a\ndifferent perspective on prismatization\, using homotopy theory and
in\nparticular topological Hochschild homology. This perspective enlarges
\nthe scope of the definition: namely\, we may consider the\nprismatizatio
n of any cyclotomic E-infinity ring A\; for sufficiently\nnice p-complete
commutative rings R\, we recover the previously known\nobject by consideri
ng the case A = THH(R). I will then discuss a\ndescription of the cyclotom
ic E-infinity ring THH(Z_p) for odd primes\np in terms of a classical obje
ct of homotopy theory\, the image of the\nJ-homomorphism\, and (via the af
orementioned generalization of\nprismatization) the relation between this
description and Lurie's\ntheory of the prismatization of the field with on
e element. \n\nThis is all joint work\, partially with Devalapurkar and pa
rtially with\nDevalapurkar\, Hahn\, and Yuan.
DTSTART:20240226T203000Z
DTEND:20240226T213000Z
LAST-MODIFIED:20240226T143248Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-16
END:VEVENT
BEGIN:VEVENT
UID:62663862-3863-4864-a465-353362306330
DTSTAMP:20240418T115558Z
CREATED:20240209T144226Z
DESCRIPTION:Topic: Computing Greatest Common Divisors of Polynomials in Par
allel\n\nSpeakers: Robert Andrews\n\nGiven two univariate polynomials\, ho
w does one compute their greatest\ncommon divisor (GCD)? This problem can
be solved in polynomial time\nusing the Euclidean algorithm\, and even in
quasi-linear time using a\nfast variant of the Euclidean algorithm. The GC
D can also be expressed\nin a linear-algebraic form. Basic tasks in linear
algebra like\ncomputing determinants and solving linear systems can be pe
rformed in\n$O(\log^2 n)$ parallel time\, and this can be used to compute
the GCD\nin $O(\log^2 n)$ parallel time. This algorithm does not take adva
ntage\nof any structure present in the resulting linear systems\, so in\np
rinciple one could compute the GCD even faster.\n\nIn this talk\, I will d
escribe a new algorithm that computes the GCD in\n$O(\log n)$ parallel tim
e by using a combination of polynomial\ninterpolation and Newton's identit
ies for symmetric polynomials.\nSimilar ideas yield $O(\log n)$ parallel t
ime algorithms to compute\nthe resultant\, Bézout coefficients\, and squar
efree decomposition.\n\nBased on joint work with Avi Wigderson.
DTSTART:20240227T153000Z
DTEND:20240227T173000Z
LAST-MODIFIED:20240227T190206Z
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-562
END:VEVENT
BEGIN:VEVENT
UID:37326235-6239-4434-a531-383463353132
DTSTAMP:20240418T115558Z
CREATED:20240125T164438Z
DESCRIPTION:Topic: Singularity Models in 3D Ricci Flow\n\nSpeakers: Simon B
rendle\n\nThe Ricci flow is a natural evolution equation for Riemannian me
trics\non a given manifold. From the point of view of PDE\, the Ricci flow
is\na system of linear parabolic equations\, which can be viewed as the\n
heat equation analogue of the Einstein equations in general\nrelativity. T
he central problem is to understand singularity\nformation. In other words
\, what does the geometry look like at points\nwhere the curvature is larg
e? In his spectacular 2002 breakthrough\,\nPerelman achieved a qualitative
understanding of singularity formation\nin dimension 3\; this is sufficie
nt for topological conclusions. In\nthis lecture\, we will discuss more re
cent developments which have led\nto a complete classification of singular
ity models in dimension 3.
DTSTART:20240228T190000Z
DTEND:20240228T200000Z
LAST-MODIFIED:20240228T140758Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-107
END:VEVENT
BEGIN:VEVENT
UID:61363634-3038-4834-b061-313032663364
DTSTAMP:20240418T115558Z
CREATED:20240109T145911Z
DESCRIPTION:Topic: D-modules on the Fargues-Fontaine Curve\n\nSpeakers: Gui
do Bosco\n\nMotivated by the desire to express in terms of de Rham data th
e\npro-étale cohomology with non-trivial $\mathbb{Q}_p$-coefficients of\nr
igid spaces $X$\, defined over $\mathbb{Q}_p$ or $\mathbb{C}_p$\, I\nwill
explain how to define D-modules on the relative Fargues-Fontaine\ncurve at
tached to $X$\, and why it is interesting to consider such\nobjects. Then\
, I will outline how the cohomology of such D-modules\ngeneralizes to coef
ficients the Hyodo-Kato cohomology for rigid spaces\ndefined by Colmez-Niz
ioł.\n\nThis is based on joint work in progress with Johannes Anschütz\,\n
Arthur-César Le Bras\, and Juan Esteban Rodriguez Camargo.
DTSTART:20240228T203000Z
DTEND:20240228T213000Z
LAST-MODIFIED:20240228T203253Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:63666138-6536-4461-b164-656264623731
DTSTAMP:20240418T115558Z
CREATED:20240112T153717Z
DESCRIPTION:Topic: Permanent versus Determinant\n\nSpeakers: Robert Andrews
\n\nThe permanent and determinant are polynomial functions of the entries
\nof a matrix\, differing only in the signs of their monomials. Despite\nt
heir apparent similarity\, these polynomials play very different roles\nin
mathematics and computer science: the determinant appears\nthroughout alg
ebra and geometry\, while the natural habitat of the\npermanent is closer
to combinatorics. Are these polynomials truly\ndifferent\, or is there a s
imple way of expressing one in terms of the\nother? I will survey some of
what is known about this problem and\nexplain its role as an algebraic ver
sion of the P versus NP question.
DTSTART:20240228T230000Z
DTEND:20240229T010000Z
LAST-MODIFIED:20240221T201002Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-271
END:VEVENT
BEGIN:VEVENT
UID:65613338-3631-4635-b531-393366643461
DTSTAMP:20240418T115558Z
CREATED:20240126T151256Z
DESCRIPTION:Topic: The Topological Space |Bun$_G$|\n\nSpeakers: Zeyu Liu
DTSTART:20240229T150000Z
DTEND:20240229T170000Z
LAST-MODIFIED:20240321T151703Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-26
END:VEVENT
BEGIN:VEVENT
UID:64656530-3636-4931-b230-666162303132
DTSTAMP:20240418T115558Z
CREATED:20240206T131529Z
DESCRIPTION:Topic: What is an Integrable System?\n\nSpeakers: Karen Uhlenbe
ck
DTSTART:20240229T180000Z
DTEND:20240229T190000Z
LAST-MODIFIED:20240223T132312Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-20
END:VEVENT
BEGIN:VEVENT
UID:30393062-3438-4537-b630-346230363063
DTSTAMP:20240418T115558Z
CREATED:20231204T165905Z
DESCRIPTION:Topic: Hecke Algebras for P-Adic Groups and Explicit Local Lang
lands Correspondence\n\nSpeakers: Yujie Xu\n\nI will talk about several re
sults on Hecke algebras attached to\nBernstein blocks of (arbitrary) reduc
tive p-adic groups\, where we\nconstruct a local Langlands correspondence
for these Bernstein blocks.\nOur techniques draw inspirations from the fou
ndational works of\nDeligne\, Kazhdan\, Lusztig etc.\n\nAs an application\
, we prove the (classical) Local Langlands Conjecture\nfor G_2\, which is
the first known case in literature of (classical)\nLLC for exceptional gro
ups. Our correspondence satisfies an expected\nproperty on cuspidal suppor
t\, which is compatible with the generalized\nSpringer correspondence\, al
ong with a list of characterizing\nproperties including the stabilization
of character sums\, formal\ndegree property etc. In particular\, we obtain
(not necessarily\nunipotent) 'mixed' L-packets containing 'F-singular' su
percuspidals\nand non-supercuspidals. Such 'mixed' L-packets had been elus
ive up\nuntil this point and very little was known prior to our work. I wi
ll\ngive explicit examples of such mixed L-packets in terms of\nDeligne-Lu
sztig theory and Kazhdan-Lusztig parametrization.\n\nIf time permits\, I w
ill explain how to pin down certain choices in the\nconstruction of the co
rrespondence using stability of L-packets\; one\nkey input is a homogeneit
y result due to Waldspurger and DeBacker.\nMoreover\, I will mention how t
o adapt our general strategy to\nconstruct explicit LLC for other reductiv
e groups\, such as GSp(4)\,\nSp(4)\, etc. Such explicit description of the
L-packets has been useful\nin number-theoretic applications\, e.g. modula
rity lifting questions.\n\nVarious parts of this talk are based on joint w
orks with various\ncollaborators\, and attributions will be made clear thr
oughout the\ntalk.
DTSTART:20240229T213000Z
DTEND:20240229T223000Z
LAST-MODIFIED:20240228T203916Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-20
END:VEVENT
BEGIN:VEVENT
UID:66303438-6661-4264-b264-653164373532
DTSTAMP:20240418T115558Z
CREATED:20240125T164526Z
DESCRIPTION:Topic: Scalar Curvature Rigidity of Polytopes\n\nSpeakers: Simo
n Brendle\n\nA central theme in differential geometry involves studying Ri
emannian\nmetrics satisfying various curvature positivity conditions. The
\nweakest condition one can impose is the positivity of the scalar\ncurvat
ure. Inspired by Toponogov's triangle comparison theorem on\nmanifolds wit
h nonnegative sectional curvature\, Gromov has proposed a\ncomparison prin
ciple for polytopes carrying metrics with nonnegative\nscalar curvature. I
n this lecture\, we will discuss a recent result\nwhich verifies Gromov's
conjecture under a stronger hypothesis. The\nproof uses the Fredholm theor
y for Dirac operators on manifolds with\nboundary\, as well as an estimate
from harmonic analysis due to\nFefferman and Phong.
DTSTART:20240301T190000Z
DTEND:20240301T200000Z
LAST-MODIFIED:20240301T202439Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-108
END:VEVENT
BEGIN:VEVENT
UID:35643065-6535-4633-b130-396531656634
DTSTAMP:20240418T115558Z
CREATED:20240201T140759Z
DESCRIPTION:Topic: Trace Class Maps and Nuclearity\n\nSpeakers: Tasos Mouli
nos\n\nIntroduce the notion of nuclear object in a symmetric monoidal stab
le\n($\infty$-)category and discuss its properties. In particular\, prove
\nthat if the monoidal unit is compact\, then an object is dualizable if\n
and only if it is compact and nuclear. Introduce the notions of trace\ncla
ss maps and basic nuclear objects. Prove that the full subcategory\nof nuc
lear objects is generated under colimits by basic nuclear\nobjects. Discus
s the notion of inner nuclearity. Prove that for a\ndiscrete Huber pair $(
A\,A^+)$\, the full subcategory of nuclear objects\nin $\mathcal{D}((A\,A^
+)_\blacksquare)$ is precisely the derived\ncategory $\mathcal{D}(A)$.
DTSTART:20240301T193000Z
DTEND:20240301T213000Z
LAST-MODIFIED:20240201T140758Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:66336237-3662-4932-b166-663139613933
DTSTAMP:20240418T115558Z
CREATED:20231207T142956Z
DESCRIPTION:Topic: Arithmetic Study Behind Spectra of Quantum Interactions
\n\nSpeakers: Masato Wakayama\n\nInteraction models discussed here are the
(asymmetric) quantum Rabi\nmodel (QRM)\, which describes the interaction
between a photon and\ntwo-level atoms\, and the non-commutative harmonic o
scillator (NCHO).\nThe latter can be considered as a covering model of the
former\, that\nis obtained through the confluence process of regular sing
ularities\nvia respective Heun’s ODE pictures. Spectral degeneracy can occ
ur in\nboth models\, but correspondingly there is a hidden symmetry which
has\ngeometrical nature like elliptic curves. In addition\, the analytical
\nformula for the heat kernel (propagator)/partition function of the QRM\n
is described as a discrete path integral and gives the meromorphic\ncontin
uation of its spectral zeta function. Furthermore\, the series\n(“discrete
path integral”) can be interpreted to the irreducible\ndecomposition of t
he infinite symmetry group S1 naturally acting on\nZ12 \, Z2 being the bin
ary field. Moreover\, from the special value of\nthe spectral zeta functio
n of the NCHO\, an analogue of the Apéry\nnumbers is naturally appearing\,
and their generating functions are\,\ne.g. given by a modular form\, Eich
ler integral of a congruence\nsubgroup. \n\nI would like to overview those
above and present questions which are\nopen.
DTSTART:20240301T210000Z
DTEND:20240301T220000Z
LAST-MODIFIED:20240402T123702Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-25
END:VEVENT
BEGIN:VEVENT
UID:34633738-6162-4736-a233-633837306532
DTSTAMP:20240418T115558Z
CREATED:20231212T162619Z
DESCRIPTION:Topic: Explicit SoS Lower Bounds from High Dimensional Expander
s\n\nSpeakers: Max Hopkins\n\nWhere are the hard problems? In the absence
of a proof of P ≠ NP\,\nresearchers have spent years proving unconditional
lower bounds for\nconstrained models of computation. In time\, a distinct
theme\narose: _random _problems (in particular random combinatorial\nopti
mization problems) are typically hard—fooling even our most\npowerful algo
rithmic frameworks like the Sum-of-Squares\nHierarchy._ _Despite this\, fi
nding such a hard\nproblem _explicitly_ has remained a major challenge: fo
r over 20\nyears\, no better method was known than brute force search. In
this\ntalk\, I will describe recent joint work with Ting-Chun Lin resolvin
g\nthis problem: a construction of explicit and near-optimally hard\n`cons
traint satisfaction problems’ for Sum-of-Squares based on\ntopological hig
h dimensional expanders.\n\nIn more detail\, in the first part of this tal
k I will give a brief\n`motivational’ introduction to Sum-of-Squares\, rev
iew Grigoriev’s\n1999 result proving hardness of random_ _XOR-instances fo
r\nSoS/refutation\, and discuss its close connection with the ubiquitous\n
notion of _graph expansion. _In the second part of the talk\,\nbuilding on
work of Dinur\, Filmus\, Harsha\, and Tulsiani (ITCS 2021) I\nwill show h
ow high dimensional expansion arises as a natural method of\nde-randomizin
g Grigoriev’s proof. Finally\, I’ll discuss the\nexistence of explicit con
structions of high dimensional expanders\,\ncompleting the proof. \n\nNo b
ackground in Sum-of-Squares or high dimensional expansion\nrequired!
DTSTART:20240304T160000Z
DTEND:20240304T170000Z
LAST-MODIFIED:20240304T152912Z
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-564
END:VEVENT
BEGIN:VEVENT
UID:37346538-6663-4833-a163-383639396433
DTSTAMP:20240418T115558Z
CREATED:20240112T154754Z
DESCRIPTION:Topic: Constraints on Contact Type Hypersurfaces in Symplectic
4-Manifolds\n\nSpeakers: Thomas Mark\n\nIn joint work with Bulent Tosun\,
it was shown that Heegaard Floer\ntheory provides an obstruction for a con
tact 3-manifold to embed as a\ncontact type hypersurface in standard sympl
ectic 4-space. As one\nconsequence\, no Brieskorn homology sphere admits s
uch an embedding\n(regardless of the contact structure). I will review the
ideas that\nlead to these results\, and discuss recent extensions that ca
n obstruct\nsuitably convex embeddings in closed symplectic 4-manifolds\,
\nparticularly rational complex surfaces.
DTSTART:20240304T173000Z
DTEND:20240304T184500Z
LAST-MODIFIED:20240304T153153Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:31643361-3836-4635-a366-363366623666
DTSTAMP:20240418T115558Z
CREATED:20230727T155309Z
DESCRIPTION:Topic: Real Local Langlands as Geometric Langlands on the Twist
or-P^1\n\nSpeakers: Peter Scholze\n\n_Sponsored by the Minerva Research Fo
undation. _\n\nIn 2014\, Fargues realized that one can formulate the local
Langlands\ncorrespondence over _p_-adic fields as a geometric Langlands\n
correspondence on the Fargues-Fontaine curve. This raises the question\nof
a similar realization of the local Langlands correspondence over\nthe rea
l numbers. The goal of these lectures is to explain a possible\nformulatio
n. As part of this\, we will give a new perspective on the\ntheory of vari
ations of twistor structure\, a generalization of the\ntheory of variation
s of Hodge structure. This uses the theory of\nanalytic stacks developed i
n our joint work with Clausen\, of which we\nwill give a brief overview.\n
\n
DTSTART:20240304T190000Z
DTEND:20240304T200000Z
LAST-MODIFIED:20240403T153954Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:Emmy Noether Lectures
URL:https://www.ias.edu/math/events/emmy-noether-lectures-2
END:VEVENT
BEGIN:VEVENT
UID:38636361-3036-4532-a431-326332616262
DTSTAMP:20240418T115558Z
CREATED:20231206T155950Z
DESCRIPTION:Topic: Pro-Etale Cohomology of Rigid-Analytic Spaces\n\nSpeaker
s: Johannes Anschütz\n\nIn this talk I want to explain some surprising fea
tures of the\npro-etale cohomology of rigid-analytic varieties\, and how t
hey can be\nexplained by a six functor formalism with values in solid\nqua
si-coherent sheaves on the Fargues-Fontaine curve. \n\nThis is joint work
in progress with Arthur-Cesar Le Bras and Lucas\nMann.
DTSTART:20240304T203000Z
DTEND:20240304T213000Z
LAST-MODIFIED:20240403T154038Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-15
END:VEVENT
BEGIN:VEVENT
UID:63666366-3734-4765-b633-303362323530
DTSTAMP:20240418T115558Z
CREATED:20231218T154916Z
DESCRIPTION:Topic: Locally Consistent Decomposition of Strings with Applica
tions to Edit Distance Sketching\n\nSpeakers: Michal Koucký\n\nEdit distan
ce is a similarity measure for strings that counts how many\ncharacters ha
ve to be deleted\, inserted or substituted in one string\nto get another o
ne. It has many applications from comparing DNA\nsequences to text process
ing. We are still in search for its most\nefficient algorithms and its exa
ct computational complexity is still\nunknown. In this talk I will focus o
n sketching edit distance which\ncould provide an ultimate algorithm for e
dit distance in the context\nof large databases of strings. \n\nThe goal i
s to compute for each string a short sketch such that from\nsketches of tw
o strings we can estimate their edit distance. This has\nconnection to emb
edding of metric spaces.\n\nIn this talk I will provide an overview of wha
t is known about\nsketching edit distance\, and I will present a new local
ly consistent\ndecomposition of strings which has applications for sketchi
ng of edit\ndistance and approximate pattern matching.\n\nThis is based on
recent results with Sudatta Bhattacharya and Mike\nSaks.
DTSTART:20240305T153000Z
DTEND:20240305T173000Z
LAST-MODIFIED:20240305T123316Z
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-557
END:VEVENT
BEGIN:VEVENT
UID:62326565-3562-4637-b363-303239633737
DTSTAMP:20240418T115558Z
CREATED:20230727T174449Z
DESCRIPTION:Topic: Real Local Langlands as Geometric Langlands on the Twist
or-P^1\n\nSpeakers: Peter Scholze\n\n_Sponsored by the Minerva Research Fo
undation. _\n\nIn 2014\, Fargues realized that one can formulate the local
Langlands\ncorrespondence over _p_-adic fields as a geometric Langlands\n
correspondence on the Fargues-Fontaine curve. This raises the question\nof
a similar realization of the local Langlands correspondence over\nthe rea
l numbers. The goal of these lectures is to explain a possible\nformulatio
n. As part of this\, we will give a new perspective on the\ntheory of vari
ations of twistor structure\, a generalization of the\ntheory of variation
s of Hodge structure. This uses the theory of\nanalytic stacks developed i
n our joint work with Clausen\, of which we\nwill give a brief overview.
DTSTART:20240305T190000Z
DTEND:20240305T200000Z
LAST-MODIFIED:20240403T154113Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:Emmy Noether Lectures
URL:https://www.ias.edu/math/events/emmy-noether-lectures-3
END:VEVENT
BEGIN:VEVENT
UID:31323533-6262-4639-b363-636335336266
DTSTAMP:20240418T115558Z
CREATED:20230727T175945Z
DESCRIPTION:Topic: Real Local Langlands as Geometric Langlands on the Twist
or-P^1\n\nSpeakers: Peter Scholze\n\n_Sponsored by the Minerva Research Fo
undation. _\n\nIn 2014\, Fargues realized that one can formulate the local
Langlands\ncorrespondence over _p_-adic fields as a geometric Langlands\n
correspondence on the Fargues-Fontaine curve. This raises the question\nof
a similar realization of the local Langlands correspondence over\nthe rea
l numbers. The goal of these lectures is to explain a possible\nformulatio
n. As part of this\, we will give a new perspective on the\ntheory of vari
ations of twistor structure\, a generalization of the\ntheory of variation
s of Hodge structure. This uses the theory of\nanalytic stacks developed i
n our joint work with Clausen\, of which we\nwill give a brief overview.
DTSTART:20240306T190000Z
DTEND:20240306T200000Z
LAST-MODIFIED:20240403T154137Z
LOCATION:Wolfensohn Hall and Remote Access
SUMMARY:Emmy Noether Lectures
URL:https://www.ias.edu/math/events/emmy-noether-lectures-4
END:VEVENT
BEGIN:VEVENT
UID:37366536-3866-4739-b464-393866626530
DTSTAMP:20240418T115558Z
CREATED:20240112T153748Z
DESCRIPTION:Topic: Propagation of Randomness Under Nonlinear Wave Equations
\n\nSpeakers: Bjoern Bringmann\n\nIn recent years\, there has been much wo
rk on nonlinear wave equations\nwith random initial data. Most of this wor
k has focused on the\nbehavior of such nonlinear waves on small scales. In
this talk\, I will\npose a problem concerning the behavior on large scale
s\, for which none\nof the available tools seem to work.
DTSTART:20240306T230000Z
DTEND:20240307T010000Z
LAST-MODIFIED:20240301T193501Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-272
END:VEVENT
BEGIN:VEVENT
UID:33383637-6135-4561-b065-623533306134
DTSTAMP:20240418T115558Z
CREATED:20240207T190612Z
DESCRIPTION:Topic: What is a Venetian Blind?\n\nSpeakers: Alan Chang
DTSTART:20240307T180000Z
DTEND:20240307T190000Z
LAST-MODIFIED:20240403T154205Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-22
END:VEVENT
BEGIN:VEVENT
UID:33613937-6162-4466-a238-323130333862
DTSTAMP:20240418T115558Z
CREATED:20231204T165236Z
DESCRIPTION:Topic: Squarefree Numbers in Short Intervals\n\nSpeakers: Mayan
k R. Pandey\n\nWe count squarefree numbers in short intervals [X\, X+H] fo
r H > X^{1/5\n- $\delta$}\, where $\delta$ > 0 is some absolute constant.
This\nimproves on the exponent 1/5 shown by Filaseta and Trifonov in 1992.
\n\n \n\nIn improving bounds on the number of integers in a short interva
l\ndivisible by a large square\, we introduce a technique to count lattice
\npoints satisfying certain conditions near curves. This requires as an\ni
nput Green and Tao’s quantitative version of Leibman’s theorem on\nthe equ
idistribution of polynomial orbits in nilmanifolds.
DTSTART:20240307T213000Z
DTEND:20240307T223000Z
LAST-MODIFIED:20240301T140158Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-14
END:VEVENT
BEGIN:VEVENT
UID:31356233-3132-4562-b665-383031633133
DTSTAMP:20240418T115558Z
CREATED:20240112T151825Z
DESCRIPTION:Topic: Strongly Invertible Knots\, Khovanov Homotopy\, and Loca
lization\n\nSpeakers: Robert Lipshitz\n\nStrong inversions are a class of
order-2 symmetries of knots in .\nBuilding on work of Seidel-Smith\, Lidma
n-Manolescu\, Stoffregen-Zhang\,\nand others\, we will describe a relation
ship between the Khovanov\nhomology of a knot with a strong inversion and
its quotients by the\ninversion. We will also give a modest application to
surfaces in\n4-space. This is joint work with Sucharit Sarkar. While ther
e is no\nsymplectic geometry in the talk\, many of the ideas come from or
may be\nuseful in Floer-theoretic settings.
DTSTART:20240308T141500Z
DTEND:20240308T154500Z
LAST-MODIFIED:20240308T140011Z
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-156
END:VEVENT
BEGIN:VEVENT
UID:36333031-6639-4133-b937-626661613366
DTSTAMP:20240418T115558Z
CREATED:20240306T190129Z
DESCRIPTION:Topic: Invariant Sets in Three-Dimensional Energy Surfaces\n\nS
peakers: Rohil Prasad\n\nLet $H$ be any smooth function on $R^4$ and let $
Y$ be any compact and\nregular level set. I'll explain a proof that $Y$ ad
mits an infinite\nfamily of proper compact subsets that are invariant unde
r the\nHamiltonian flow\, which moreover have dense union in $Y$. This\nim
proves on a recent result by Fish-Hofer.\n \n\n
DTSTART:20240308T180000Z
DTEND:20240308T190000Z
LAST-MODIFIED:20240308T140203Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special IAS/PU Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/special-iaspu-symplectic-geometry-semin
ar
END:VEVENT
BEGIN:VEVENT
UID:39393138-3763-4836-b733-313965373538
DTSTAMP:20240418T115558Z
CREATED:20231207T143027Z
DESCRIPTION:Topic: Variations on Fefferman's Ball Multiplier Theorem\n\nSpe
akers: Mikael De La Salle\n\nWhat happens to an Lp function when one trunc
ates its Fourier\ntransform to a domain? This question is now rather well
understood\,\nthanks to famous results by Marcel Riesz and Charles Fefferm
an\, and\nthe answer depends on the domain: if it is a polytope\, the func
tion\nremains Lp integrable. But not necessarily when the domain is curved
\,\nsuch as a Euclidean ball. The lecture will be devoted to another\nques
tion of the same flavour: What happens to a matrix and its\nsingular value
s when some of its entries are set to zero? My goal will\nbe to explain un
expected relations betweeen the two questions\, which\nlead to a satisfact
ory answer to the second. \n\nBased on a joint work with Javier Parcet and
Eduardo Tablate.
DTSTART:20240308T193000Z
DTEND:20240308T203000Z
LAST-MODIFIED:20240402T123756Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-26
END:VEVENT
BEGIN:VEVENT
UID:37343434-6139-4837-b734-363837396565
DTSTAMP:20240418T115558Z
CREATED:20231208T164242Z
DESCRIPTION:_Sponsored by Dr. John P. Hempel and Simons Foundation_\n\nOrga
nizers: Bhargav Bhatt (IAS/Princeton/Michigan)\, Johan DeJong\n(Columbia/I
AS)\, Jacob Lurie (IAS)\n\nInvited Speakers:\nKestutis Cesnavicius\, Unive
rsité Paris-Saclay/IAS\nPierre Colmez\, IMJ-PRG/IAS\nLars Hesselholt\, Uni
v of Copenhagen/IAS\nBen Heuer\, Univ Frankfurt\nAchim Krause\, Univ Muens
ter/IAS\nAkhil Mathew\, Univ Chicago\nMatthew Morrow\, Université Paris-Sa
clay/IAS\nWieslawa Niziol\, IMJ-PRG/IAS\nLue Pan\, Princeton Univ\nAlexand
er Petrov\, IAS\nTomer Schlank\, Hebrew Univ\nPeter Scholze\, Max-Planck-I
nstitut für Mathematik\, Bonn\nKarl Schwede\, Univ Utah\nTakeshi Tsuji\, U
niv Tokyo\nMingjia Zhang\, Princeton Univ/IAS\n\n \n\nSCHEDULE\n\nMonday\,
March 11\, 2024: \n10:00 AM – 11:00 AM Matthew Morrow\, Revisiti
ng the\nMotivic Cohomology of Schemes\n[https://www.ias.edu/math/events/sp
ecial-year-workshop-p-adic-arithmetic-geometry-15]\n11:00 AM – 12:00 PM
Coffee/Tea in Rubenstein\nCommons Cafe\n12:00 PM – 1:00 PM
Karl Schwede\,\nSingularities in Mixed Characteristic via Alterations
\n[https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-16]\n1:00 PM – 2:30 PM Lunch in the Simons\nDining
Hall\n2:30 PM – 3:30 PM Ben Heuer\, p-adic\nNon-Abelian Hod
ge Theory via Moduli Stacks\n[https://www.ias.edu/math/events/special-year
-workshop-p-adic-arithmetic-geometry-17]\n3:30 PM – 4:30 PM
Coffee/Tea in the\nSimons Dining Hall\n4:30 PM – 5:30 PM Min
gjia Zhang\, Igusa\nStacks and Local-Global Compatibility\n[https://www.ia
s.edu/math/events/special-year-workshop-p-adic-arithmetic-geometry-18]\n\n
Tuesday\, March 12\, 2024:\n10:00 AM – 11:00 AM Achim Krause\, On
the K-theory of\nZ/p^n\n[https://www.ias.edu/math/events/special-year-work
shop-p-adic-arithmetic-geometry-19]\n11:00 AM – 12:00 PM Coffee/T
ea in Rubenstein\nCommons Cafe\n12:00 PM – 1:00 PM Alexander Pe
trov\,\nCharacteristic Classes of Étale Local Systems\n[https://www.ias.ed
u/math/events/special-year-workshop-p-adic-arithmetic-geometry-20]\n1:00 P
M – 2:30 PM Lunch in the Simons\nDining Hall\n2:30 PM – 3:30
PM Takeshi Tsuji\, Prismatic\nCrystals\, q-Higgs Modules\, an
d their Cohomology\n[https://www.ias.edu/math/events/special-year-workshop
-p-adic-arithmetic-geometry-21]\n3:30 PM – 4:30 PM Coffee/Tea
in the\nSimons Dining Hall\n4:30 PM – 5:30 PM Tomer Schlank\
, p-adic\nAnalytic Geometry and Chromatic Homotopy Theory\n[https://www.ia
s.edu/math/events/special-year-workshop-p-adic-arithmetic-geometry-22]\n\n
Wednesday\, March 13\, 2024: \n10:00 AM – 11:00 AM Peter Scholze\
, Analytic\nPrismatization\n[https://www.ias.edu/math/events/special-year-
workshop-p-adic-arithmetic-geometry-23]\n11:00 AM – 12:00 PM Coff
ee/Tea in Rubenstein\nCommons Cafe\n12:00 PM – 1:00 PM Pierre
Colmez\, A Kirillov\nModel for Completed Cohomology\n[https://www.ias.edu/
math/events/special-year-workshop-p-adic-arithmetic-geometry-24]\n1:00 PM
– 2:30 PM Lunch in the Simons\nDining Hall\n\nThursday\, Mar
ch 14\, 2024: \n10:00 AM – 11:00 AM Wieslawa Niziol\, Duality\nThe
orems for p-adic Pro-Étale Cohomology of Stein Spaces\n[https://www.ias.ed
u/math/events/special-year-workshop-p-adic-arithmetic-geometry-25]\n11:00
AM – 11:45 AM Coffee/Tea in Rubenstein\nCommons Cafe\n11:45 AM – 1
2:45 PM Lue Pan\, Some Vanishing\nResults for Rational Completed
Cohomology of Shimura Varieties\n[https://www.ias.edu/math/events/special-
year-workshop-p-adic-arithmetic-geometry-26]\n12:45 PM – 2:00 PM
Lunch in the Simons Dining\nHall\n2:00 PM – 3:00 PM Kęstuti
s Česnavičius\,\nThe Analytic Topology Suffices for the B_dR^+-Grassmannia
n\n[https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmeti
c-geometry-27]\n3:00 – 4:00 PM Coffee/Tea in the Simons
\nDining Hall\n\nFriday\, March 15\, 2024: \n10:00 AM – 11:00 AM L
ars Hesselholt\,\nCategorification and Geometry\n[https://www.ias.edu/math
/events/special-year-workshop-p-adic-arithmetic-geometry-28]\n11:00 AM – 1
2:00 PM Coffee/Tea in Rubenstein\nCommons Cafe\n12:00 PM – 1:00 P
M Akhil Mathew\,\nMultiplicative Polynomial Laws and Commutativ
e Group Schemes\n[https://www.ias.edu/math/events/special-year-workshop-p-
adic-arithmetic-geometry-29]\n1:00 PM – 2:30 PM Lunch in the
Simons\nDining Hall\n~END\n\n
DTSTART:20240311T140000Z
DTEND:20240315T161500Z
LAST-MODIFIED:20240326T133154Z
LOCATION:Wolfensohn Hall
SUMMARY:Workshop on p-adic Arithmetic Geometry (Spring)
URL:https://www.ias.edu/math/events/workshop-p-adic-arithmetic-geometry-spr
ing
END:VEVENT
BEGIN:VEVENT
UID:37623436-3637-4165-a534-646432346565
DTSTAMP:20240418T115558Z
CREATED:20240221T150815Z
DESCRIPTION:Topic: Revisiting the Motivic Cohomology of Schemes\n\nSpeakers
: Matthew Morrow\n\nAbstract: Since the original conjectures of Beilinson
and Lichtenbaum\nin the 80s\, several versions of motivic cohomology have
been\nintroduced and developed\, notably by Voevodsky. Most classically\,
\nBloch's higher Chow groups provide the accepted theory of motivic\ncohom
ology for smooth algebraic varieties\, simultaneously related to\nalgebrai
c cycles\, étale cohomology\, and algebraic K-theory. Secondly\,\nMorel-Vo
evodsky's motivic homotopy theory yields a version of motivic\ncohomology
for general schemes\; but it is A1-invariant\, so more\nclosely related to
the A1-invariant version of K-theory rather than to\nK-theory itself.\n\n
In this talk I will present some results from two projects. In the\nfirst\
, joint with Bachman and Elmanto\, we use prismatic and syntomic\ncohomolo
gy to show that A1-invariant motivic cohomology is often\ncontrolled by sm
ooth schemes in a simpler way than previously known.\nWe use this new poin
t of view to resolve several conjectures of\nVoevodsky from 2000. In the s
econd project\, joint with Elmanto\, we\nprove in equal characteristic the
existence of a natural\n``A1-delocalisation'' of the A1-invariant theory\
, thereby constructing\na new theory of motivic cohomology for arbitrary s
chemes over fields\nwhich is related to algebraic K-theory itself. Time pe
rmitting\, I may\ndiscuss some applications to algebraic cycles on singula
r varieties.
DTSTART:20240311T140000Z
DTEND:20240311T150000Z
LAST-MODIFIED:20240313T133904Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-15
END:VEVENT
BEGIN:VEVENT
UID:61313134-6632-4462-b062-323763326433
DTSTAMP:20240418T115559Z
CREATED:20231212T162730Z
DESCRIPTION:Topic: Sparsification of Gaussian Processes\n\nSpeakers: Anindy
a De\n\nIn this talk\, we will show that the supremum of any centered Gaus
sian\nprocess can be approximated to any arbitrary accuracy by a finite\nd
imensional Gaussian process where the dimension of the approximator\nis ju
st dependent on the target error. As a corollary\, we show that\nfor any n
orm \Phi defined over R^n and target error \eps\, there is a\nnorm \Psi su
ch that (i) \Psi is only dependent on t(\eps) = \exp \exp\n(poly(1/\eps))
dimensions and (ii) \Psi(x)/\Phi(x) \in [1-\eps\, 1+\n\eps] with probabili
ty 1-\eps (when x is sampled from the Gaussian\nspace). Our proof relies o
n Talagrand's majorizing measures theorem. \n\nJoint work with Shivam Nadi
mpalli\, Ryan O'Donnell and Rocco\nServedio.
DTSTART:20240311T150000Z
DTEND:20240311T160000Z
LAST-MODIFIED:20240312T120426Z
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-565
END:VEVENT
BEGIN:VEVENT
UID:61393935-6437-4632-b239-633332386163
DTSTAMP:20240418T115559Z
CREATED:20240221T151106Z
DESCRIPTION:Topic: Singularities in Mixed Characteristic via Alterations\n
\nSpeakers: Karl Schwede\n\nAbstract: Multiplier ideals and test ideals ar
e ways to measure\nsingularities in characteristic zero and p > 0 respecti
vely. In\ncharacteristic zero\, multiplier ideals are computed by a suffi
ciently\nlarge blowup by comparing the canonical module of the base and th
e\nresolution. In characteristic p > 0\, test ideals were originally\ndef
ined via Frobenius\, but under moderate hypotheses\, can be computed\nvia
a sufficiently large alteration again via canonical modules. In\nmixed ch
aracteristic (for example over the p-adic integers) we show\nthat various
mixed characteristic analogs of multiplier/test ideals\ncan be computed vi
a a single sufficiently large alteration\, at least\nwhen one builds in a
small perturbation term. This perturbation is\nparticularly natural from
the perspective of either almost mathematics\nor the theory of pairs from
birational algebraic geometry. Besides\nunifying the three pictures\, thi
s has various applications. This is\njoint work with Bhargav Bhatt\, Linq
uan Ma\, Zsolt Patakfalvi\, Kevin\nTucker\, Joe Waldron and Jakub Witaszek
.
DTSTART:20240311T160000Z
DTEND:20240311T170000Z
LAST-MODIFIED:20240313T134008Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-16
END:VEVENT
BEGIN:VEVENT
UID:62663462-3638-4036-a533-316137363135
DTSTAMP:20240418T115559Z
CREATED:20240112T160905Z
DESCRIPTION:Topic: Relative Calabi-Yau Structures for Legendrian Contact Ho
mology\n\nSpeakers: Joshua Sabloff\n\nLegendrian Contact Homology (LCH) wa
s among the first\, and is still\namong the most important\, non-classical
invariants of Legendrian\nknots. In this talk\, I will tell a story that
builds up ever more\nsophisticated analogues of Poincare Duality in LCH. D
espite the\nalgebraic nature of the talk\, I promise pictures and examples
. This is\njoint work with Jason Ma (Duke) and\, towards the end\, work in
progress\nin conversation with Zhenyi Chen (Northwestern).\n \n\n
DTSTART:20240311T163000Z
DTEND:20240311T174500Z
LAST-MODIFIED:20240305T163127Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:64396338-3662-4632-b534-643430656262
DTSTAMP:20240418T115559Z
CREATED:20240221T151502Z
DESCRIPTION:Topic: p-adic Non-Abelian Hodge Theory via Moduli Stacks\n\nSpe
akers: Ben Heuer\n\nAbstract: The p-adic Simpson correspondence aims to gi
ve a non-abelian\ngeneralisation of the Hodge-Tate decomposition. Followin
g an idea of\nFaltings\, it should relate pro-étale vector bundles on smoo
th rigid\nspaces over Cp to Higgs bundles. In this talk\, I will first ske
tch how\nto construct the p-adic Simpson correspondence for smooth proper
rigid\nspaces. For curves\, I will then explain how in joint work with Dax
in\nXu\, we interpret the correspondence more geometrically as a twisted\n
isomorphism between the moduli stacks of either side.
DTSTART:20240311T183000Z
DTEND:20240311T193000Z
LAST-MODIFIED:20240313T134043Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-17
END:VEVENT
BEGIN:VEVENT
UID:39303636-3533-4630-a131-333931616138
DTSTAMP:20240418T115559Z
CREATED:20240221T151854Z
DESCRIPTION:Topic: Igusa Stacks and Local-Global Compatibility\n\nSpeakers:
Mingjia Zhang\n\nAbstract: Recently the work of Fargues--Scholze provides
a\ngeometrization of the local Langlands conjecture. It is natural to ask
\nif in this context any form of local-global compatibility can be\nstated
/verified. We discuss some expectations and evidences using the\nIgusa sta
cks. This is based on joint work in progress with Ana\nCaraiani.
DTSTART:20240311T203000Z
DTEND:20240311T213000Z
LAST-MODIFIED:20240313T134106Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-18
END:VEVENT
BEGIN:VEVENT
UID:33363063-3039-4738-a238-633538353131
DTSTAMP:20240418T115559Z
CREATED:20240221T152805Z
DESCRIPTION:Topic: On the K-theory of Z/p^n\n\nSpeakers: Achim Krause\n\nAb
stract: In recent work with Antieau and Nikolaus we use prismatic\ncohomol
ogy to compute algebraic K-theory of Z/pn and similar rings.\nOur approach
is based on a new description of absolute prismatic\ncohomology\, which c
an be made completely algorithmic in this case. In\nthis talk\, I want to
give an overview over these methods.
DTSTART:20240312T140000Z
DTEND:20240312T150000Z
LAST-MODIFIED:20240312T211822Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-19
END:VEVENT
BEGIN:VEVENT
UID:66643539-6237-4836-b839-613631653361
DTSTAMP:20240418T115559Z
CREATED:20240129T161945Z
DESCRIPTION:Topic: The Structure of Translational Tilings in Z^d\n\nSpeaker
s: Rachel Greenfeld\n\nA finite set $F$ in $\mathbb{Z}^d$ is a translation
al tile of \n$\mathbb{Z}^d$ if one can cover $\mathbb{Z}^d$ by translated
copies\nof $F$ without any overlaps\, i.e.\, there exists a translational
\ntiling of $\mathbb{Z}^d$ by $F$. Suppose that $F$ is a translational\nt
ile\; what can we say about the structure of tilings by $F$? In the\ntalk
we will discuss this question and introduce techniques\,\nconjectures\, r
esults\, and open problems in the area.
DTSTART:20240312T143000Z
DTEND:20240312T163000Z
LAST-MODIFIED:20240313T114510Z
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-558
END:VEVENT
BEGIN:VEVENT
UID:39333061-3965-4530-a237-346632663030
DTSTAMP:20240418T115559Z
CREATED:20240221T153409Z
DESCRIPTION:Topic: Characteristic Classes of Étale Local Systems\n\nSpeaker
s: Alexander Petrov\n\nAbstract: Given an étale Zp-local system of rank n
on an algebraic\nvariety X\, continuous cohomology classes of the group GL
n(Zp) give\nrise to classes in (absolute) étale cohomology of the variety
with\ncoefficients in Qp. These characteristic classes can be thought of a
s\np-adic analogs of Chern-Simons characteristic classes of vector\nbundle
s with a flat connection.\n\nIf X is a smooth variety over a p-adic field\
, and the local system is\nde Rham\, then its characteristic classes turn
out to be related to\nChern classes of the graded quuotients of the Hodge
filtration on the\nassociated vector bundle with connection. This relation
can be\nestablished through considering an analog of Chern classes for lo
cally\nfree sheaves of OX-modules on the pro-étale site of X. This is a\nj
oint work with Lue Pan.
DTSTART:20240312T160000Z
DTEND:20240312T170000Z
LAST-MODIFIED:20240312T172347Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-20
END:VEVENT
BEGIN:VEVENT
UID:33633334-6131-4839-b934-653533383961
DTSTAMP:20240418T115559Z
CREATED:20240221T154051Z
DESCRIPTION:Topic: Prismatic Crystals\, q-Higgs Modules\, and their Cohomol
ogy\n\nSpeakers: Takeshi Tsuji\n\nAbstract: We study prismatic crystals an
d their cohomology by using\nq-Higgs modules (= a q-analogue of p-connecti
ons). When the base is\nlying over the q-crystalline prism\, they are loca
lly described in\nterms of q-Higgs modules and the associated complexes on
the bounded\nprismatic envelope in a smooth algebra. This allows us to un
derstand\nthe isogeny property of Frobenius and the Nygaard filtration in
terms\nof q-Higgs modules. For a general base (R\,I) with R/I containing a
\nprimitive p-th root\, we obtain a similar description by adding the\nvar
iable q and the q-Higgs derivation by q considered in a recent work\nby Gr
os\, Le Stum\, and Quirós. This also works in the absolute case\nfor a rin
g containing a primitive p-th root.
DTSTART:20240312T183000Z
DTEND:20240312T193000Z
LAST-MODIFIED:20240312T190355Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-21
END:VEVENT
BEGIN:VEVENT
UID:62356661-6238-4266-b636-633666643933
DTSTAMP:20240418T115559Z
CREATED:20240221T154352Z
DESCRIPTION:Topic: p-adic Analytic Geometry and Chromatic Homotopy Theory
\n\nSpeakers: Tomer Schlank\n\nAbstract: Chromatic homotopy theory relates
certain important\nquestions in homotopy theory to the theory of formal g
roups. \n\nRecent advancements in p-adic geometry can be thus used to stud
y\nquestions in homotopy theory. I will discuss how this connection comes
\nto be and some preliminary results in this direction.
DTSTART:20240312T203000Z
DTEND:20240312T213000Z
LAST-MODIFIED:20240312T211657Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-22
END:VEVENT
BEGIN:VEVENT
UID:66383338-6665-4832-b461-373935336166
DTSTAMP:20240418T115559Z
CREATED:20240221T154532Z
DESCRIPTION:Topic: Analytic Prismatization\n\nSpeakers: Peter Scholze
DTSTART:20240313T140000Z
DTEND:20240313T150000Z
LAST-MODIFIED:20240314T122629Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-23
END:VEVENT
BEGIN:VEVENT
UID:30313561-3339-4735-b036-626336313262
DTSTAMP:20240418T115559Z
CREATED:20240221T154832Z
DESCRIPTION:Topic: A Kirillov Model for Completed Cohomology\n\nSpeakers: P
ierre Colmez\n\nAbstract: We will explain how to construct a Kirillov mode
l for\nEmerton's completed cohomology of the tower of modular curves. The
\ntrickiest part is to prove injectivity of this model. This is joint\nwo
rk with Shanwen Wang.
DTSTART:20240313T160000Z
DTEND:20240313T170000Z
LAST-MODIFIED:20240313T151454Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-24
END:VEVENT
BEGIN:VEVENT
UID:64616464-6639-4164-b238-643966376630
DTSTAMP:20240418T115559Z
CREATED:20240112T153812Z
DESCRIPTION:Topic: Equivariant Log-Concavity and the Hard Lefschetz Theorem
\n\nSpeakers: Shiyue Li\n\nWhat do graph matchings and independent vertex
sets have to do with\nthe cohomology of products of projective lines? I wi
ll share with you\nan example in the study of “equivariant log-concavity”\
, which\nenriches the notion of log-concavity. By keeping in mind the symm
etry\nwhile playing with the underlying combinatorial objects\, we will\nr
ediscover log-concavity using the hard Lefschetz theorem in Hodge\ntheory.
Non-technical talk\; nothing is assumed beyond linear algebra\nand basic
graph theory. \n\n
DTSTART:20240313T220000Z
DTEND:20240314T000000Z
LAST-MODIFIED:20240306T185437Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-273
END:VEVENT
BEGIN:VEVENT
UID:61663738-3037-4562-a464-616430326139
DTSTAMP:20240418T115559Z
CREATED:20240221T155115Z
DESCRIPTION:Topic: Duality Theorems for p-adic Pro-Étale Cohomology of Stei
n Spaces\n\nSpeakers: Wieslawa Niziol\n\nAbstract: I will discuss the form
ulation and sketch the proofs of\nduality theorems for the geometric and a
rithmetic p-adic pro-étale\ncohomology of Stein spaces. This is based on a
joint work with Pierre\nColmez and Sally Gilles.
DTSTART:20240314T140000Z
DTEND:20240314T150000Z
LAST-MODIFIED:20240314T113639Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-25
END:VEVENT
BEGIN:VEVENT
UID:61333434-3336-4030-b565-373438343332
DTSTAMP:20240418T115559Z
CREATED:20240221T155443Z
DESCRIPTION:Topic: Some Vanishing Results for Rational Completed Cohomology
of Shimura Varieties\n\nSpeakers: Lue Pan\n\nAbstract: Let p be a prime n
umber. Emerton introduced the p-adically\ncompleted cohomology\, which adm
its a representation of some p-adic\ngroup and can be thought of as some s
paces of p-adic automorphic\nforms. In this talk\, I want to explain that
for Shimura varieties\,\nsufficiently regular infinitesimal characters of
the p-adic group can\nonly show up in the middle degree of the completed c
ohomology. The\nproof is based on a very recent result of Bhatt on Kodaira
vanishing\nin mixed characteristic and an old idea of using translation f
unctors.\nThis is joint work in progress with Kai-Wen Lan.
DTSTART:20240314T154500Z
DTEND:20240314T164500Z
LAST-MODIFIED:20240314T113832Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-26
END:VEVENT
BEGIN:VEVENT
UID:65636236-6137-4239-b561-656538333166
DTSTAMP:20240418T115559Z
CREATED:20240221T160140Z
DESCRIPTION:Topic: The Analytic Topology Suffices for the B_dR^+-Grassmanni
an\n\nSpeakers: Kęstutis Česnavičius\n\nAbstract: For a reductive group $G
$\, its $B_{d}R^{+}$-affine\nGrassmannian is defined as the étale (equiva
lently\, v-)\nsheafification of the presheaf quotient $LG/L^{+}G$ of the\n
$B_{d}R$-loop group $LG$ by the $B_{d}R^{+}$-loop subgroup $L^{+}G$.\nWe c
ombine algebraization and approximation techniques with known\ncases of th
e Grothendieck–Serre conjecture to show that the analytic\ntopology suffic
es for this sheafification\, more precisely\, that the\n$B_{d}R^{+}$-affin
e Grassmannian agrees with the analytic\nsheafification of the presheaf qu
otient $LG/L^{+}G$. The talk is based\non joint work with Alex Youcis.
DTSTART:20240314T180000Z
DTEND:20240314T190000Z
LAST-MODIFIED:20240314T180635Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-27
END:VEVENT
BEGIN:VEVENT
UID:63636231-3265-4262-b436-326533376132
DTSTAMP:20240418T115559Z
CREATED:20240216T185438Z
DESCRIPTION:Topic: Moments of Quadratic L-Functions Over Function Fields \n
\nSpeakers: Adrian Diaconu\n\nIn 2001\, Conrey\, Farmer\, Keating\, Rubins
tein\, and Snaith developed a\n'recipe' utilizing heuristic arguments to p
redict the asymptotics of\nmoments of various families of L-functions. Thi
s heuristic was later\nextended by Andrade and Keating to include moments
and ratios of the\nfamily of L-functions associated to hyperelliptic curve
s of genus g\nover a fixed finite field. \n\n \n\nIn joint work with Bergs
tröm\, Petersen\, and Westerland\, we related\nthe moment conjecture of An
drade and Keating to the problem of\nunderstanding the homology of the bra
id group with symplectic\ncoefficients. We computed the stable homology gr
oups of the braid\ngroups with these coefficients\, together with their st
ructure as\nGalois representations\, and showed that the answer matches th
e\nnumber-theoretic predictions. Our results\, combined with a recent\nhom
ological stability theorem of Miller\, Patzt\, Petersen\, and\nRandal-Will
iams\, imply the conjectured asymptotics for all moments in\nthe function
field case\, for all large enough odd prime powers q.
DTSTART:20240314T203000Z
DTEND:20240314T213000Z
LAST-MODIFIED:20240307T143142Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-22
END:VEVENT
BEGIN:VEVENT
UID:31646266-3166-4435-a137-666565306266
DTSTAMP:20240418T115559Z
CREATED:20240112T151855Z
DESCRIPTION:Topic: Quantitative Floer Theory and Coefficients\n\nSpeakers:
Yusuke Kawamoto\n\nI will discuss how much the choice of coefficients impa
cts the\nquantitative information of Floer theory\, especially spectral\ni
nvariants. In particular\, I will present some phenomena that are\nspecifi
c to integer coefficients\, including an answer to a variant of\na questio
n posed by Nancy Hingston. The material is based on a joint\nwork with Ego
r Shelukhin.
DTSTART:20240315T131500Z
DTEND:20240315T144500Z
LAST-MODIFIED:20240315T114635Z
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-142
END:VEVENT
BEGIN:VEVENT
UID:61366564-3135-4330-b537-356139616562
DTSTAMP:20240418T115559Z
CREATED:20240221T160452Z
DESCRIPTION:Topic: Categorification and Geometry\n\nSpeakers: Lars Hesselho
lt\n\nAbstract: The key principle in Grothendieck's algebraic geometry is
\nthat every commutative ring be considered as the ring of functions on\ns
ome geometric object. Clausen and Scholze have introduced a\ncategorificat
ion of algebraic and analytic geometry\, where the key\nprinciple is that
every stable closed symmetric monoidal\ninfinity-category be considered as
the infinity-category of\nquasi-coherent modules on some geometric object
. In this talk\, I will\nexpland on this principle as well as Scholze's ph
ilosophy that\n*every* cohomology theory should arise from this picture\,
complete\nwith a six-functor formalism of categories of coefficients. The
\nHahn-Raksit-Wilson even filtration and Efimov continuity are key\ningred
ients.
DTSTART:20240315T140000Z
DTEND:20240315T150000Z
LAST-MODIFIED:20240315T114435Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-28
END:VEVENT
BEGIN:VEVENT
UID:33306365-6132-4761-a335-313738663432
DTSTAMP:20240418T115559Z
CREATED:20240221T161455Z
DESCRIPTION:Topic: Multiplicative Polynomial Laws and Commutative Group Sch
emes\n\nSpeakers: Akhil Mathew\n\nAbstract: I'll give an exposition of the
theory of 'multiplicative\npolynomial laws\,' introduced by Roby\, and ho
w (following a suggestion\nof Scholze) they can be applied to the theory o
f commutative (flat)\ngroup schemes. This talk will feature more questions
than answers.
DTSTART:20240315T160000Z
DTEND:20240315T170000Z
LAST-MODIFIED:20240315T114809Z
LOCATION:Wolfensohn Hall
SUMMARY:Special Year Workshop on p-adic Arithmetic Geometry
URL:https://www.ias.edu/math/events/special-year-workshop-p-adic-arithmetic
-geometry-29
END:VEVENT
BEGIN:VEVENT
UID:62373630-3735-4366-a436-326538386630
DTSTAMP:20240418T115559Z
CREATED:20231212T162901Z
DESCRIPTION:Topic: Computationally Sound Proofs of Network Properties\n\nSp
eakers: Rotem Oshman\n\nIn distributed certification\, our goal is to cert
ify that a network\nhas a certain desired property\, e.g.\, the network is
connected\, or the\ninternal states of its nodes encode a valid spanning
tree of the\nnetwork. To this end\, a prover generates certificates that a
re stored\nat each network node\, and the nodes can then interact with one
another\nin order to check their certificates and verify that the propert
y\nholds. This can be viewed as a distributed analog of NP. However\, like
\nmost theoretical models of distributed computing\, the traditional\nmode
l for distributed certification is information-theoretic: the\nprover and
the network nodes are computationally unbounded\, and the\nonly efficiency
measures we consider are the length of the\ncertificates and the communic
ation required to verify them. The\ninformation-theoretic nature of the mo
del sets the area of distributed\ncertification apart from classical compl
exity theory\, and also makes\nit subject to strong lower bounds from the
world of nondeterministic\ncommunication complexity.\n\nIn this talk\, I w
ill describe a computationally sound version of\ndistributed certification
\, where the prover and the network nodes are\nrequired to run in polynomi
al time in the size of the network.\nIntroducing computational restriction
s allows us to leverage\ncryptography\, and we show that any network prope
rty in P can be\ncertified using certificates of polylogarithmic length by
a global\nprover that sees the entire network. Ideally\, however\, we wou
ld like\nthe prover to also be distributed\, and we show that this can be
done\nas well: any polynomial distributed algorithm can efficiently certif
y\nits own execution with low overhead in terms of communication and\nroun
ds. The main challenge in the distributed setting is that no\nsingle netwo
rk node can see the entire execution of the algorithm.\n\nThis is joint wo
rk with Eden Aldema Tshuva\, Elette Boyle\, Ran Cohen\nand Tal Moran. No b
ackground in cryptography is assumed for the talk.
DTSTART:20240318T150000Z
DTEND:20240318T160000Z
LAST-MODIFIED:20240318T113843Z
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-566
END:VEVENT
BEGIN:VEVENT
UID:66623836-3661-4736-a633-363333376432
DTSTAMP:20240418T115559Z
CREATED:20240112T155216Z
DESCRIPTION:Topic: The Shape Invariant for Toric Domains.\n\nSpeakers: Rich
ard Hind\n\nWe discuss the shape invariant\, a sort of set valued symplect
ic\ncapacity defined by the Lagrangian tori inside a domain of $R^4$.\nPar
tial computations for convex toric domains are sometimes enough to\ngive s
harp obstructions to symplectic embeddings\, but in general the\nshape is
far from a complete invariant. We then consider continuous\nfamilies of La
grangian embeddings\, and describe a seemingly close\nrelation to stabiliz
ed symplectic embeddings. This is ongoing work\nwith Ely Kerman and Jun Zh
ang.
DTSTART:20240318T163000Z
DTEND:20240318T174500Z
LAST-MODIFIED:20240318T114015Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:30643832-3164-4437-b766-666638363435
DTSTAMP:20240418T115559Z
CREATED:20231204T184238Z
DESCRIPTION:Topic: Sum-of-Squares Proofs\, Efficient Algorithms\, and Appli
cations\n\nSpeakers: Pravesh Kothari\n\nAny non-negative univariate polyno
mial over the reals can be written\nas a sum of squares. This gives a sim
ple-to-verify certificate of\nnon-negativity of the polynomial. Rooted in
Hilbert's 17th problem\,\nthere's now more than a century's work that find
s the right\nmultivariate generalizations called Positivstellensatz theore
ms (due\nto Krivine\, Stengle\, and Putinar). Beginning in the late 1980s\
,\nresearchers (initially independent) in optimization\, quantum\ninformat
ion\, and proof complexity theory found an algorithmic\ncounterpart\, the
sum-of-squares algorithm\, of these results. Over the\npast decade\, this
algorithmic theory has matured into a powerful tool\nfor designing efficie
nt algorithms for basic problems in algorithm\ndesign.\n\n \n\nIn this tal
k\, I will outline a couple of highlights from these recent\n\ndevelopment
s:\n\n \n\n1) Algorithmic Robust Statistics: In the 1960s\, Tukey and Hube
r\nobserved that most statistical estimators are brittle -- they break\ndo
wn with almost no guarantee if the model postulated for data has\nminor mi
sspecification (say because of 1% outliers). In response\, they\ninitiated
the field of robust statistics. Over the past five years\, a\nnew bluepri
nt\, based on the sum-of-squares algorithm\, has emerged for\nefficient ro
bust statistics in high dimensions with new connections to\nfinding effici
ently verifiable certificates of concentration and\nanti-concentration pro
perties of high dimensional probability\ndistributions.\n\n \n\n2) The Kik
uchi Matrix Method: Finding (or proving that there is none)\na solution th
at satisfies 99% of a given system of k-sparse linear\nequations (i.e.\, k
non-zero coefficients in each equation) over finite\nfields is a basic NP
-hard problem and thus\, unlikely to admit\nefficient algorithms. In the e
arly 2000s\, motivated by whether the\nhard instances are 'pathological'\,
researchers explored whether\n'semirandom' equations\n\n-- arbitrary syst
ems with right-hand sides generated uniformly and\nindependently at random
-- could admit efficient algorithms that\noutput efficiently verifiable c
ertificates of unsatisfiability.\nRecently\, a restricted class of sum-of-
squares proofs was at the heart\nof efficient algorithms for such semirand
om sparse linear equations.\nSurprisingly\, these algorithms have led to n
ew progress in extremal\ncombinatorics and coding theory.
DTSTART:20240318T180000Z
DTEND:20240318T190000Z
LAST-MODIFIED:20240318T114947Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-62
END:VEVENT
BEGIN:VEVENT
UID:39356562-3537-4330-b363-333861613331
DTSTAMP:20240418T115559Z
CREATED:20231206T180635Z
DESCRIPTION:Topic: Towards a Unified Theory of Canonical Heights on Abelian
Varieties\n\nSpeakers: Padmavathi Srinivasan\n\n_p_-adic heights have bee
n a rich source of explicit functions\nvanishing on rational points on a c
urve. In this talk\, we will outline\na new construction of canonical _p_-
adic heights on abelian varieties\nfrom _p_-adic adelic metrics\, using _p
_-adic Arakelov theory developed\nby Besser. This construction closely mir
rors Zhang's construction of\ncanonical real valued heights from real-valu
ed adelic metrics. We will\nuse this new construction to give direct expla
nations (avoiding\n_p_-adic Hodge theory) of the key properties of _p_-adi
c height\npairings needed for the quadratic Chabauty method for rational\n
points. \n\nThis is joint work with Amnon Besser and Steffen Mueller.
DTSTART:20240318T193000Z
DTEND:20240318T203000Z
LAST-MODIFIED:20240402T123829Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-17
END:VEVENT
BEGIN:VEVENT
UID:65333637-3066-4833-a435-373936316138
DTSTAMP:20240418T115559Z
CREATED:20240202T152130Z
DESCRIPTION:Topic: Geodesics and Minimal Surfaces in a Random Environment\n
\nSpeakers: Ron Peled\n\nEndow the edges of the $Z^D$ lattice with positiv
e weights\, sampled\nindependently from a suitable distribution (e.g.\, un
iformly\ndistributed on [a\,b] for some b>a>0). We wish to study the geome
tric\nproperties of the resulting network\, focusing on the following\ncha
llenges:\n\n * Geodesics (first-passage percolation): Given two vertices in
$Z^D$\,\nconsider the path with minimal sum of edge weights that connects
them.\nHow close is this path to a straight line?\n * Minimal surfaces: Co
nsider the cube {$-L\,...\, L$}$^D$ and the\nminimal cut separating the 'u
pper' and 'lower' halves of the boundary\nof the cube. How flat is this cu
t?\n\nI will give a gentle introduction to these challenges\, with emphasi
s\non the many open problems and some of the recently obtained results. \n
\nBased on joint works with Michal Bassan and Shoni Gilboa and with\nBarba
ra Dembin\, Dor Elboim and Daniel Hadas.
DTSTART:20240319T143000Z
DTEND:20240319T163000Z
LAST-MODIFIED:20240319T131020Z
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-559
END:VEVENT
BEGIN:VEVENT
UID:65326239-3864-4230-b132-316633323338
DTSTAMP:20240418T115559Z
CREATED:20240116T180457Z
DESCRIPTION:Topic: Atiyah Duality and Applications\n\nSpeakers: Toni Mikael
Annala
DTSTART:20240320T180000Z
DTEND:20240320T190000Z
LAST-MODIFIED:20240320T170841Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-12
END:VEVENT
BEGIN:VEVENT
UID:33653662-3364-4839-b666-653161383830
DTSTAMP:20240418T115559Z
CREATED:20240126T160653Z
DESCRIPTION:Topic: Mixed Characteristic Affine Grassmannian\n\nSpeakers: Sa
lly Gilles
DTSTART:20240321T140000Z
DTEND:20240321T160000Z
LAST-MODIFIED:20240126T160653Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-29
END:VEVENT
BEGIN:VEVENT
UID:30323639-3030-4164-b066-653662613636
DTSTAMP:20240418T115559Z
CREATED:20240207T190732Z
DESCRIPTION:Topic: What is a Graph Complex? \n\nSpeakers: Shiyue Li\n\nI’ll
describe graph complexes\, introduced by Kontsevich in the\ncontext of ma
thematical physics. I’ll survey its connections to\ngeometry and topology\
, highlighting its relation to the cohomology of\nmoduli spaces of curves.
DTSTART:20240321T170000Z
DTEND:20240321T180000Z
LAST-MODIFIED:20240403T154329Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-23
END:VEVENT
BEGIN:VEVENT
UID:33653334-6662-4137-b563-666638616133
DTSTAMP:20240418T115559Z
CREATED:20231204T165257Z
DESCRIPTION:Topic: Vanishing of Selmer Groups for Siegel Modular Forms\n\nS
peakers: Sam Mundy\n\nLet π be a cuspidal automorphic representation of Sp
_2n over Q which\nis holomorphic discrete series at infinity\, and χ a Dir
ichlet\ncharacter. Then one can attach to π an orthogonal p-adic Galois\nr
epresentation ρ of dimension 2n+1. Assume ρ is irreducible\, that π\nis or
dinary at p\, and that p does not divide the conductor of χ. I\nwill descr
ibe work in progress which aims to prove that the\nBloch--Kato Selmer grou
p attached to the twist of ρ by χ vanishes\,\nunder some mild ramification
assumptions on π\; this is what is\npredicted by the Bloch--Kato conjectu
res.\n\n \n\nThe proof uses 'ramified Eisenstein congruences' by construct
ing\np-adic families of Siegel cusp forms degenerating to Klingen\nEisenst
ein series of nonclassical weight\, and using these families to\nconstruct
ramified Galois cohomology classes for the Tate dual of the\ntwist of ρ b
y χ.
DTSTART:20240321T203000Z
DTEND:20240321T213000Z
LAST-MODIFIED:20240321T124920Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-15
END:VEVENT
BEGIN:VEVENT
UID:39393663-3361-4164-a365-636439633361
DTSTAMP:20240418T115559Z
CREATED:20240112T151925Z
DESCRIPTION:Topic: The Giroux Correspondence in Arbitrary Dimensions\n\nSpe
akers: Ko Honda\n\nAround twenty years ago Emmanuel Giroux formulated the
equivalence of\ncontact structures and open book decompositions with Weins
tein pages\nup to stabilization. We establish the Giroux correspondence in
full\ngenerality using the recent developments in convex hypersurface\nth
eory. This is joint work with Joe Breen and Yang Huang.
DTSTART:20240322T131500Z
DTEND:20240322T144500Z
LAST-MODIFIED:20240322T113507Z
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-143
END:VEVENT
BEGIN:VEVENT
UID:64356135-6638-4730-b363-346433343934
DTSTAMP:20240418T115559Z
CREATED:20231207T143405Z
DESCRIPTION:Topic: Classification of Kink Clusters for Scalar Fields on the
Line\n\nSpeakers: Andy Lawrie\n\nI will present joint work with Jacek Jen
drej. We consider classical\nscalar fields in dimension 1+1 with a symmetr
ic double-well\nself-interaction potential. Examples of such equations are
the phi-4\nmodel and the sine-Gordon equation. These nonlinear wave equat
ions\nadmit non-trivial static solutions called kinks and antikinks\, whic
h\nare amongst the simplest examples of topological solitons. We define\na
n n-kink cluster to be a solution approaching\, for large positive\ntimes\
, a superposition of n alternating kinks and antikinks whose\nvelocities
converge to zero and mutual distances grow to infinity. Our\nmain result i
s a determination of the leading order asymptotic\nbehavior of any n-kink
cluster. This result is used to construct the\nsmooth n-dimensional invari
ant manifold of n-kink clusters. This\nanalysis is partially inspired by t
he notion of 'parabolic motions' in\nthe Newtonian n-body problem. We expl
ain this analogy and its\nlimitations. We also explain the role of kink cl
usters as universal\nprofiles for the formation/annihilation of multikink
configurations.
DTSTART:20240322T183000Z
DTEND:20240322T193000Z
LAST-MODIFIED:20240308T133640Z
LOCATION:Princeton University Fine Hall 314
SUMMARY:Joint IAS/PU Analysis Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-5
END:VEVENT
BEGIN:VEVENT
UID:61623933-6530-4563-b363-656665393838
DTSTAMP:20240418T115559Z
CREATED:20240201T140955Z
DESCRIPTION:Topic: Analytic Adic Spaces and Descent\n\nSpeakers: Sean Howe
\n\nFor a general complete Huber pair $(A\,A^+)$\, define the analytic rin
g\n$(A\,A^+)_\blacksquare$. Prove that the associations $\mathrm{Spa}\,\n(
A\,A^+)\mapsto \mathcal{D}((A\,A^+)_\blacksquare)$\, $\mathrm{Spa}\,\n(A\,
A^+)\mapsto \mathcal{D}^\omega((A\,A^+)_\blacksquare)$\, and\n$\mathrm{Spa
}\, (A\,A^+)\mapsto\n\mathcal{D}^\mathrm{nuc}((A\,A^+)_\blacksquare)$ sati
sfy analytic\ndescent. Deduce from that the association $\mathrm{Spa}\,\n(
A\,A^+)\mapsto \mathrm{Perf}\, A$ satisfies analytic descent as well.
DTSTART:20240322T183000Z
DTEND:20240322T203000Z
LAST-MODIFIED:20240315T191309Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:33366462-6563-4834-b538-326430653439
DTSTAMP:20240418T115559Z
CREATED:20231207T143550Z
DESCRIPTION:Topic: Hilbert’s Sixth Problem for Nonlinear Waves\n\nSpeakers:
Zaher Hani\n\nHilbert’s sixth problem asks for a mathematically rigorous
\njustification of the macroscopic laws of statistical physics from the\nm
icroscopic laws of dynamics. The classical setting of this problem is\nthe
justification of Boltzmann’s kinetic equation from Newtonian\nparticle dy
namics. This justification has been proven for short times\,\nstarting wit
h the work of Lanford in 1975\, but its long time\njustification remains o
ne of the biggest open problems in kinetic\ntheory. \n\nIf classical colli
ding particles are replaced with interacting waves\,\none formally obtains
what is known as 'wave kinetic theory”\, which\nis sometimes also called
'wave turbulence theory'. This theory of\nstatistical physics for waves ha
s been developed\, starting in the late\n1920s\, for wave systems that ari
se in various scientific disciplines\nlike many-particle quantum physics\,
oceanography\, climate science\,\netc. The central mathematical problem t
here is also the justification\nof a kinetic equation\, known as the wave
kinetic equation\, starting\nfrom the Hamiltonian PDE that governs the cor
responding microscopic\nsystem. In this talk\, we shall describe the state
of the art of this\nproblem\, leading to a most recent joint work with Yu
Deng (USC)\, in\nwhich we give the first instance of a long time justific
ation of a\nnonlinear (particle or wave) collisional kinetic limit.
DTSTART:20240322T200000Z
DTEND:20240322T210000Z
LAST-MODIFIED:20240311T141109Z
LOCATION:Princeton University Fine Hall 314
SUMMARY:Joint IAS/PU Analysis Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-6
END:VEVENT
BEGIN:VEVENT
UID:33366130-3565-4632-b162-383737663062
DTSTAMP:20240418T115559Z
CREATED:20240112T155235Z
DESCRIPTION:Topic: New Algebraic Invariants of Legendrian Links\n\nSpeakers
: Lenhard Ng\n\nFor the past 25 years\, a key player in contact topology h
as been the\nFloer-theoretic invariant called Legendrian contact homology.
I'll\ndiscuss a package of new invariants for Legendrian knots and links
\nthat builds on Legendrian contact homology and is derived from\nrational
symplectic field theory. This includes a Poisson bracket on\nLegendrian c
ontact homology and a symplectic structure on augmentation\nvarieties. Tim
e permitting\, I'll also describe an unexpected\nconnection to cluster the
ory for a family of Legendrian links\nassociated to positive braids. Parts
of this are joint work in\nprogress with Roger Casals\, Honghao Gao\, Lin
hui Shen\, and Daping Weng.
DTSTART:20240325T163000Z
DTEND:20240325T174500Z
LAST-MODIFIED:20240325T114141Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:35353963-3636-4463-b738-373966386466
DTSTAMP:20240418T115559Z
CREATED:20231204T184255Z
DESCRIPTION:Topic: Fourier Uniformity of Multiplicative Functions\n\nSpeake
rs: Miguel Walsh\n\nThe Fourier uniformity conjecture seeks to understand
what\nmultiplicative functions can have large Fourier coefficients on many
\nshort intervals. We will discuss recent progress on this problem and\nex
plain its connection with the distribution of prime numbers and with\nothe
r central problems about the behavior of multiplicative functions\,\nsuch
as the Chowla and Sarnak conjectures.
DTSTART:20240325T180000Z
DTEND:20240325T190000Z
LAST-MODIFIED:20240325T184520Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-63
END:VEVENT
BEGIN:VEVENT
UID:38393336-3436-4032-b061-383836396664
DTSTAMP:20240418T115559Z
CREATED:20240321T172710Z
DESCRIPTION:Topic: On Artin--Grothendieck Vanishing in Rigid-Analytic Situa
tions\n\nSpeakers: Ofer Gabber
DTSTART:20240325T193000Z
DTEND:20240325T203000Z
LAST-MODIFIED:20240326T140912Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-18
END:VEVENT
BEGIN:VEVENT
UID:33303664-3035-4232-a231-353566653135
DTSTAMP:20240418T115559Z
CREATED:20240322T184356Z
DESCRIPTION:Topic: On Endomorphisms of THH\n\nSpeakers: Maxime Ramzi\n\nTop
ological Hochschild homology is an important invariant\, closely\nrelated
to algebraic K-theory\, and can be seen as a noncommutative\nanalogue of d
e Rham chains.\n\nIn this talk\, I will describe various computations of t
he ring/monoid\nof endomorphisms of THH in different variants\, with an ap
proach based\non a generalized version of the Dundas-McCarthy theorem.
DTSTART:20240327T180000Z
DTEND:20240327T190000Z
LAST-MODIFIED:20240327T140902Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:38386138-6439-4432-b863-353236646238
DTSTAMP:20240418T115559Z
CREATED:20240112T153859Z
DESCRIPTION:Topic: Matrix Rigidity\n\nSpeakers: Zeev Dvir\n\nA matrix M is
RIGID if one needs to change it in many places in order\nto reduce its ran
k significantly. While a random matrix M (say over a\nfinite field) is rig
id with high probability\, coming up with explicit\nconstructions of such
matrices is still mostly open (and would have\napplications in computation
al complexity). I will survey some of the\nknown results (mostly negative
ones)\, in particular showing that\nmatrices with an abelian symmetry grou
p are non rigid.
DTSTART:20240327T220000Z
DTEND:20240328T000000Z
LAST-MODIFIED:20240403T154408Z
LOCATION:Dilworth Room
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-274
END:VEVENT
BEGIN:VEVENT
UID:32333862-3830-4731-b539-373630396438
DTSTAMP:20240418T115559Z
CREATED:20240130T153616Z
DESCRIPTION:Topic: Universal Locally Acyclic Sheaves\n\nSpeakers: Longke Ta
ng
DTSTART:20240328T140000Z
DTEND:20240328T160000Z
LAST-MODIFIED:20240325T122021Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-31
END:VEVENT
BEGIN:VEVENT
UID:65343763-6438-4363-b064-393639363163
DTSTAMP:20240418T115559Z
CREATED:20240207T190844Z
DESCRIPTION:Topic: What is a p-adic Modular Form?\n\nSpeakers: Rebecca Bell
ovin
DTSTART:20240328T170000Z
DTEND:20240328T180000Z
LAST-MODIFIED:20240403T154434Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-24
END:VEVENT
BEGIN:VEVENT
UID:38613266-6638-4165-b762-326135623937
DTSTAMP:20240418T115559Z
CREATED:20231204T181735Z
DESCRIPTION:Topic: Kashiwara Crystals in Endoscopy\n\nSpeakers: Griffin Wan
g\n\nIn my recent work on a geometric proof of the endoscopic fundamental
\nlemma for spherical Hecke algebras\, there are many new features not\npr
esent in its Lie algebra analogue originally proved by B.C.~Ng\^o.\nOne of
such new features is an asymptotic version of the fundamental\nlemma\, fo
rmulated using the theory of Kashiwara crystals. It is at its\ncore a pure
ly combinatorial version of the original fundamental lemma\nand implies th
e latter when combined with results about multiplicative\nHitchin fibratio
ns. I will explain what the asymptotic fundamental\nlemma is and why it ma
y be promising to study in a broader context\nlike functoriality. The talk
is meant to be made accessible.
DTSTART:20240328T203000Z
DTEND:20240328T213000Z
LAST-MODIFIED:20240322T141358Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-19
END:VEVENT
BEGIN:VEVENT
UID:35643832-3230-4464-b261-353832626465
DTSTAMP:20240418T115559Z
CREATED:20240112T151943Z
DESCRIPTION:Topic: Three 20 Minute Research Talks \n\nSpeakers: Yao Xiao\,
Yoav Zimhony\, Qi Feng\n\n *\nYAO XIAO : _Equivariant Lagrangian Floer Theo
ry on Compact Toric\nManifolds_\n\nWe introduce an equivariant Lagrangian
Floer theory on compact\nsymplectic toric manifolds. We define a spectral
sequence to compute\nthe equivariant Floer cohomology. We show that the se
t of pairs\n$(L\,b)$\, each consisting of a Lagrangian torus fiber and a w
eak\nbounding cochain\, that have non-zero equivariant Lagrangian Floer\nc
ohomology forms a rigid analytic space (over the non-Archimedean\nNovikov
field). We prove that the dimension of such a rigid analytic\nspace is equ
al to that of the acting group in certain cases. We will\ndiscuss some exa
mples.\n\n \n\n *\nYOAV ZIMHONY : _Commutative Control Data for Smoothly Lo
cally Trivial\nStratified Spaces_\n\nFor a compact Lie group G and a Hamil
tonian G-space M\, can we find a\nsmooth weak deformation retraction from
a neighbourhood of the zero\nlevel set of the momentum map onto it? If we
do not require smoothness\nthen this is already known\, in fact one can ob
tain a strong\ndeformation retraction. We will outline the construction of
such\nsmooth weak deformation retraction with the following steps.\nFirst
we show that the zero level set\, stratified by orbit types\,\nsatisfies
a condition stronger than Whitney (B) regularity - smooth\nlocal trivialit
y with conical fibers. Using this local condition we\nconstruct control da
ta in the sense of Mather with the additional\nproperties that the fiber-w
ise multiplications by scalars\, coming from\nthe tubular neighbourhood st
ructures\, preserve strata and commute with\neach other. Finally we use th
is control data to obtain the\nneighbourhood smooth weak deformation retra
ction.\nWe will also discuss a key technical tool used in the construction
of\nthe control data - Euler-like vector fields.\n\n \n\n *\nQI FENG : _Sy
mplectic Squeezing of Domains in $T^*T^n$_\n\nThe symplectic squeezings in
the cotangent bundle of a torus is\ndistinct from those in $R^{2n}$\, due
to the nontrivial topology of the\ntorus. In this talk\, we will show tha
t for $n\ge2$ any bounded domain\nof $T^*T^n$ can be symplectically embedd
ed into a trivial subbundle\nwith an irrational cylinder fiber. These symp
lectic embeddings are\nconstructed based on Arnold's cat map\, Dirichlet's
approximation\ntheorem\, and Bézout’s identity. Our result resolves an op
en problem\nposted by Gong-Xue (stated in $n=2$) and also generalizes it t
o higher\ndimensional situations. This talk is based on joint work with Ju
n\nZhang\n
DTSTART:20240329T131500Z
DTEND:20240329T144500Z
LAST-MODIFIED:20240315T135549Z
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-144
END:VEVENT
BEGIN:VEVENT
UID:66353463-3732-4133-a166-386634346564
DTSTAMP:20240418T115559Z
CREATED:20240109T185048Z
DESCRIPTION:Topic: Tight Cell-Probe Lower Bounds for Dynamic Succinct Dicti
onaries\n\nSpeakers: Huacheng Yu\n\nA dictionary data structure maintains
a set of at most $n$ keys from\nthe universe $[U]$ under key insertions an
d deletions\, such that given\na query $x\in[U]$\, it returns if $x$ is in
the set. Some variants also\nstore values associated to the keys such tha
t given a query $x$\, the\nvalue associated to $x$ is returned when $x$ is
in the set.\n\nThis fundamental data structure problem has been studied f
or six\ndecades since the introduction of hash tables in 1953. A hash tabl
e\noccupies $O(n\log U)$ bits of space with constant time per operation\ni
n expectation. There has been a vast literature on improving its time\nand
space usage. The state-of-the-art dictionary by Bender\,\nFarach-Colton\,
Kuszmaul\, Kuszmaul and Liu has space consumption close\nto the informati
on-theoretic optimum\, using a total of\n\[\log\binom{U}{n}+O(n\log^{(k)}
n)\]\nbits\, while supporting all operations in $O(k)$ time\, for any\npar
ameter $k\leq \log^* n$. The term $O(\log^{(k)}\nn)=O(\underbrace{\log\cdo
ts\log}_k n)$ is referred to as the _wasted\nbits per key_.\n\nIn this tal
k\, we show a matching cell-probe lower bound: For\n$U=n^{1+\Theta(1)}$\,
any dictionary with $O(\log^{(k)} n)$ wasted bits\nper key must have expec
ted operational time $\Omega(k)$\, in the\ncell-probe model with word-size
$w=\Theta(\log U)$. Furthermore\, if a\ndictionary stores values of $\The
ta(\log U)$ bits\, we show that\nregardless of the query time\, it must ha
ve $\Omega(k)$ expected update\ntime. It is worth noting that this is the
first cell-probe lower bound\non the trade-off between space and update ti
me for general data\nstructures.\n\nJoint work with Tianxiao Li\, Jingxun
Liang and Renfei Zhou.
DTSTART:20240401T150000Z
DTEND:20240401T160000Z
LAST-MODIFIED:20240401T131737Z
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-568
END:VEVENT
BEGIN:VEVENT
UID:37343161-3965-4233-b366-623962613634
DTSTAMP:20240418T115559Z
CREATED:20231204T184313Z
DESCRIPTION:Topic: On a Theorem of Furstenberg\n\nSpeakers: Alex Eskin\n\nA
deep result of Furstenberg from 1967 states that if $\Gamma$ is a\nlattic
e in a semisimple Lie group $G$\, then there exists a measure\non $\Gamma$
with finite first moment such that the corresponding\nharmonic measure on
the Furstenberg boundary of $G$ is absolutely\ncontinuous. I will discuss
some of the history of this result and some\nrecent generalizations.
DTSTART:20240401T180000Z
DTEND:20240401T190000Z
LAST-MODIFIED:20240401T131919Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-64
END:VEVENT
BEGIN:VEVENT
UID:61373935-3338-4634-b430-306436353633
DTSTAMP:20240418T115559Z
CREATED:20231206T180704Z
DESCRIPTION:Topic: On De Rham Flip-Flopping in Dual Towers\n\nSpeakers: Wie
slawa Niziol\n\nWe will discuss de Rham and Hyodo-Kato flip-flopping for d
ual towers\nof rigid analytic spaces. The main tools are comparison theore
ms\nexpressing the two cohomologies as pro-étale cohomologies of\ncorrespo
nding relative period sheaves that\, by definition\, satisfy\npro-étale de
scent. As an application\, we show that de Rham and\nHyodo-Kato cohomologi
es of the finite level coverings of the Drinfeld\nspace of any dimension d
are admissible as representations of\nGL_{d+1}(K). \n\nThis is a joint wo
rk with Gudio Bosco and Gabriel Dospinescu.
DTSTART:20240401T193000Z
DTEND:20240401T203000Z
LAST-MODIFIED:20240329T121536Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-21
END:VEVENT
BEGIN:VEVENT
UID:37363164-6261-4630-a638-346139653161
DTSTAMP:20240418T115559Z
CREATED:20240207T162308Z
DESCRIPTION:Topic: New Derandomized Agreement Testers\n\nSpeakers: Yotam Di
kstein\n\nAgreement testing (aka direct product testing)\, checks if consi
stent\nlocal information reveals global structure. Beyond its theoretical
\nconnections to probabilistic checkable proofs (PCPs)\, constructing\nagr
eement testers is a fundamental combinatorial question that has\nexciting
applications in coding theory and hardness amplification.\n\nLet (V\,S) be
a hypergraph with vertices. The direct product encoding\nencodes a functi
on $g:V \to \{0\,1\}$ by its restrictions $F(g)=\{g|_s:\ns\in S\}$. Agreem
ent testing asks the inverse question: Given\n$F=\{f_s:s \to \{0\,1\}: s \
in S\}$\, can we test whether $F$ is\nnon-trivially close to an encoding o
f some $g:V \to \{0\,1\}$\, by\nquerying only two random functions? The te
st we consider samples two\nrandom $s\,s' \in S$ and accepts if $f_s = f_{
s'}$ on the shared\nintersection. In this talk we focus on the more challe
nging 1%-regime\,\nwhere the probability that $F$ passes the test is non-n
egligible\, but\nsmall (1%). Hypergraphs where passing the test with non-n
egligible\nprobabiliy implies correlation with some $F(g)$\, are called so
und\nagreement tests.\n\nConstructing sound agreement tests was studied in
the 90'\, and works\nin complexity inspired the goal of constructing agre
ement tests where\nthe size of $S$ grows as slowly as possible with respec
t to $V$. Such\nsparse tests are an important prerequisite for derandomizi
ng some\nfundamental PCP constructions.\n\nIn this work we construct novel
agreement tests for the 1%-regime\,\nwhere $|S|=O(|V|)$. Quite surprising
ly\, constructing such tests\nrequires the hypergraph to have no small con
nected topological covers\,\nalong with other more combinatorial propertie
s. We construct such\nhypergraphs using subgroups of the symplectic group
over the piadic\nnumbers\, along with a variety of other topological and c
ombinatorial\ntools from high dimensional expander theory.\n\nThis talk is
based on joint work with Irit Dinur and Alex Lubotzky.\n\n
DTSTART:20240402T143000Z
DTEND:20240402T163000Z
LAST-MODIFIED:20240402T144633Z
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-561
END:VEVENT
BEGIN:VEVENT
UID:34313033-3961-4533-b431-383065346636
DTSTAMP:20240418T115559Z
CREATED:20240201T141121Z
DESCRIPTION:Topic: Six Functors\n\nSpeakers: Juan Esteban Rodriguez Camargo
\n\nDefine the category of solid quasi-coherent sheaves\n$\mathcal{D}_\bla
cksquare(X)$ on a rigid-analytic varity $X$. Show\nthat this assignment co
mes with a natural $6$-functor formalism.\nFinally\, prove the Grothendiec
k--Serre duality in the rigid-analytic\ncontext.
DTSTART:20240402T180000Z
DTEND:20240402T200000Z
LAST-MODIFIED:20240402T172433Z
LOCATION:Simonyi Hall 101
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:61663636-3262-4663-a637-613163623064
DTSTAMP:20240418T115559Z
CREATED:20240125T145948Z
DESCRIPTION:Topic: The $v$-Picard Group of Stein Spaces\n\nSpeakers: Sally
Gilles\n\nIn this talk\, I will present a computation of the image of the
\nHodge-Tate logarithm map (defined by Heuer) in the case of smooth\nStein
varieties. When the variety is the affine space\, Heuer has\nproved that
this image is equal to the group of closed differential\nforms. In general
\, we will see that the image always contains such\nforms but the quotient
can be non-trivial: it contains a $Zp$-module\nthat maps\, via the Bloch-
Kato exponential map\, to integral classes in\nthe proétale cohomology. Th
is is based on a joint work with V. Ertl\nand W. Niziol.
DTSTART:20240403T180000Z
DTEND:20240403T190000Z
LAST-MODIFIED:20240403T194408Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:30373230-3936-4061-b635-323139336436
DTSTAMP:20240418T115559Z
CREATED:20240311T175423Z
DESCRIPTION:Topic: Directional Statistics of Lattice Points and Escape of M
ass for Embedded Horospheres\n\nSpeakers: Jens Marklof\n\nI will discuss e
scape of mass estimates for SL(d\,ℝ)-horospheres\nembedded in the space of
affine lattices\, which depend on the\nDiophantine properties of the shor
test affine lattice vector. These\nestimates can be used\, in conjunction
with Ratner's theorem\, to prove\nthe convergence of moments in natural la
ttice point problems\,\nincluding the statistics of directions in lattices
\, inhomogeneous\nFarey factions\, and the distribution of smallest denomi
nators. \n\nBased on joint work with Wooyeon Kim (ETH).
DTSTART:20240403T203000Z
DTEND:20240403T213000Z
LAST-MODIFIED:20240403T194343Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Special Homogeneous Dynamics Seminar
URL:https://www.ias.edu/math/events/special-homogeneous-dynamics-seminar
END:VEVENT
BEGIN:VEVENT
UID:39666530-6134-4430-a566-646132353630
DTSTAMP:20240418T115559Z
CREATED:20240112T153924Z
DESCRIPTION:Topic: Cubic Forms: Geometry vs. Arithmetic\n\nSpeakers: Ulrich
Derenthal\n\nCubic forms are homogeneous polynomials of degree 3 in sever
al \nvariables. Number theory is interested in their zeros over the\nratio
nal \nnumbers. Algebraic geometry studies the cubic hypersurfaces defined
\nby \nthem (e.g.\, the 27 lines on smooth cubic surfaces over the complex
\nnumbers). How is the arithmetic of cubic hypersurfaces (expected to\nbe
) \ngoverned to their geometry? I will discuss old and new conjectures and
\nresults.
DTSTART:20240403T220000Z
DTEND:20240404T000000Z
LAST-MODIFIED:20240329T181701Z
LOCATION:Dilworth Room
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-275
END:VEVENT
BEGIN:VEVENT
UID:38393435-3764-4766-a635-306464373630
DTSTAMP:20240418T115559Z
CREATED:20240130T145648Z
DESCRIPTION:Topic: The (Non-)Semistable Locus of Bun$_G$\n\nSpeakers: Juan
Esteban Rodriguez Camargo
DTSTART:20240404T140000Z
DTEND:20240404T160000Z
LAST-MODIFIED:20240320T124631Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-30
END:VEVENT
BEGIN:VEVENT
UID:38353562-3335-4565-b461-373438613763
DTSTAMP:20240418T115559Z
CREATED:20240207T191108Z
DESCRIPTION:Topic: What is Bakry-Émery Curvature?\n\nSpeakers: Mira Gordin
DTSTART:20240404T170000Z
DTEND:20240404T180000Z
LAST-MODIFIED:20240403T154522Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-25
END:VEVENT
BEGIN:VEVENT
UID:62363464-3431-4066-b032-333463373438
DTSTAMP:20240418T115559Z
CREATED:20231204T165318Z
DESCRIPTION:Topic: The Not-So-Local-Global Conjecture\n\nSpeakers: James Ri
ckards\n\nI will introduce Apollonian circle packings\, and describe the\n
local-global conjecture\, which predicts the set of curvatures of\ncircles
occurring in a packing. I will then describe reciprocity\nobstructions\,
a phenomenon rooted in reciprocity laws (for instance\,\nquadratic recipro
city)\, that disproves the conjecture in most cases. I\nwill also describe
follow-up work\, where we obtain a similar result in\na situation related
to Zaremba's conjecture on continued fraction\nexpansions\, disproving a
conjecture of Kontorovich.
DTSTART:20240404T203000Z
DTEND:20240404T213000Z
LAST-MODIFIED:20240404T180237Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-16
END:VEVENT
BEGIN:VEVENT
UID:31663161-3132-4165-b165-643937396531
DTSTAMP:20240418T115559Z
CREATED:20240201T141415Z
DESCRIPTION:Topic: Nuc(X) is Dualizable\n\nSpeakers: Emanuel Reinecke\n\nPr
ove that for a qcqs analytic adic space $X$\, the category of nuclear\nshe
aves on $X$ is dualizable in two steps. First\, establish the result\nloca
lly over affinoid Tate adic spaces using the notion of weak\nproregularity
and then prove a general result concerning gluing of\ndualizable categori
es. Define (continuous) $K$-theory of adic\nspaces.
DTSTART:20240405T183000Z
DTEND:20240405T203000Z
LAST-MODIFIED:20240201T141415Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-18
END:VEVENT
BEGIN:VEVENT
UID:64623032-6335-4438-a666-613634373034
DTSTAMP:20240418T115559Z
CREATED:20231207T143310Z
DESCRIPTION:Topic: Generic Properties of Laplace Eigenfunctions in the Pres
ence of Symmetry\n\nSpeakers: Craig Sutton\n\nLet $G$ be a compact Lie gro
up acting on a closed manifold $M$.\nPartially motivated by work of Uhlenb
eck (1976)\, we explore the\ngeneric properties of Laplace eigenfunctions
associated to\n$G$-invariant metrics on $M$. We find that\, in the case wh
ere\n$\mathbb{T}$ is a torus acting freely on $M$\, the Laplace eigenspace
s\nassociated to a generic $\mathbb{T}$-invariant metric are irreducible\n
representations of $\mathbb{T}$. This provides a mathematically\nrigorous
instance of the belief in quantum mechanics that\, in the\npresence of sym
metry\, non-irreducible eigenspaces are 'accidental\ndegeneracies.’’ We al
so observe that the nodal set of a Laplace\neigenfunction associated to a
generic $\mathbb{T}$-invariant metric is\nan embedded hypersurface. In par
ticular\, under suitable conditions\,\nour framework allows us to provide
numerous examples of Riemannian\nmanifolds with $S^{1}$-invariant metrics
for which the nodal set of\nany eigenfunction that is equivariant\, yet no
n-invariant is connected\nand divides the manifold into precisely two noda
l domains. Such\neigenfunctions form a subspace of Weyl density one in $L^
{2}(M)$.\n\nThis is joint work with Donato Cianci (GEICO)\, Chris Judge (I
ndiana)\nand Samuel Lin (Oklahoma).
DTSTART:20240405T183000Z
DTEND:20240405T193000Z
LAST-MODIFIED:20240405T115131Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-27
END:VEVENT
BEGIN:VEVENT
UID:37616237-6632-4135-b631-363261393562
DTSTAMP:20240418T115559Z
CREATED:20240321T124505Z
DESCRIPTION:Topic: Expansion\, Divisibility and Parity\n\nSpeakers: Harald
Helfgott\n\nWe will discuss a graph that encodes the divisibility properti
es of\nintegers by primes. We will prove that this graph has a strong loca
l\nexpander property almost everywhere. We then obtain several\nconsequenc
es in number theory\, beyond the\ntraditional parity barrier\, by combinin
g the main result with\nMatomaki-Radziwill. (This is joint work with M. Ra
dziwill.) For\ninstance: for lambda the Liouville function (that is\, the
completely\nmultiplicative function with $lambda(p) = -1$ for every prime)
\,\n$(1/\log x) \sum_{n\leq x} lambda(n) \lambda(n+1)/n = O($1/sqrt{log\nl
og x)}$)$\, which is stronger than well-known results by Tao and\nTao-Tera
vainen. We also manage to prove\, for example\, that\n$lambda(n+1)$ averag
es to 0 at almost all scales when n restricted to\nhave a specific number
of prime divisors $Omega(n)=k$\, for any\n'popular' value of k (that is\,
$k = log log N + O($sqrt{log log N}$)$\nfor n<=N). \n\nWe shall also discu
ss a recent generalization by C. Pilatte\, who has\nsucceeded in proving t
hat a graph with edges that are rough integers\,\nrather than primes\, als
o has a strong local expander property almost\neverywhere\, following the
same strategy. As a result\, he has obtained\na bound with $O(1/(log x)^c)
$ instead of $O(1/sqrt{log log x})$ in the\nabove\, as well as other impro
vements in consequences across the board.
DTSTART:20240405T200000Z
DTEND:20240405T210000Z
LAST-MODIFIED:20240405T120241Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Number Theory Seminar
URL:https://www.ias.edu/math/events/special-number-theory-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:61323666-6166-4139-b039-643465393831
DTSTAMP:20240418T115559Z
CREATED:20240304T193352Z
DESCRIPTION:Topic: Polynomial Capacity and its Applications: To TSP and Bey
ond \n\nSpeakers: Jonathan Leake\n\nAbout 20 years ago\, Gurvits developed
the notion of polynomial\ncapacity to give a simple proof of the famous v
an der Waerden lower\nbound on the permanent of a doubly stochastic matrix
. Since then\,\nsimilar techniques have led to various other applications\
; for\nexample: approximate counting of the lattice points of certain\npol
ytopes\, an efficient algorithm for the non-commutative version of\nthe po
lynomial identity testing problem\, and most recently\, an\nimproved appro
ximation factor for the traveling salesperson problem\n(TSP) via the max-e
ntropy algorithm.\n\nIn this talk\, we will discuss polynomial capacity\,
some of its\napplications\, and its connection to entropy optimization. In
\nparticular\, we will discuss how we (with Gurvits and Klein) recently\nu
sed polynomial capacity to further improve the TSP approximation\nfactor.
\n\nJoint work with Petter Brändén\, Leonid Gurvits\, Nathan Klein\, Igor
\nPak\, Nisheeth Vishnoi.
DTSTART:20240408T150000Z
DTEND:20240408T160000Z
LAST-MODIFIED:20240408T140657Z
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-571
END:VEVENT
BEGIN:VEVENT
UID:38613934-3039-4663-a237-373764366232
DTSTAMP:20240418T115559Z
CREATED:20240112T155350Z
DESCRIPTION:Topic: Gromov-Witten Invariants and Complex Cobordism\n\nSpeake
rs: Shaoyun Bai\n\nSince the beginning of the subject\, it has been specul
ated that\nGromov-Witten invariants should admit refinements in complex\nc
obordism. I will propose a resolution of this question based on joint\nwor
k-in-progress with Abouzaid\, building on recent advances in\nSymplectic T
opology (FOP perturbations developed jointly with Xu) and\nfunctorial reso
lution of singularities from algebraic geometry.
DTSTART:20240408T163000Z
DTEND:20240408T174500Z
LAST-MODIFIED:20240408T140835Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:37383038-6439-4535-a462-383635303438
DTSTAMP:20240418T115559Z
CREATED:20231204T184335Z
DESCRIPTION:Topic: An Overview of Geometric Measure Theory\, Area Minimisin
g Currents\, and Recent Progress\n\nSpeakers: Paul Minter\n\nStructures wh
ich minimise area appear in numerous geometric contexts\noften related to
degeneration phenomena. In turn\, in many situations\nthese structures als
o reflect the ambient geometry in some way (they\nare ‘calibrated’) and so
they may provide a way to study the\ninterplay between geometry and topol
ogy\, as has historically been the\ncase for variational methods in geomet
ry.\n\n \n\nAlmgren developed a theory which established that these area\n
minimising structures are manifolds away from a codimension 2\n‘singular s
et’. The singular set itself\, however\, remained rather\nmysterious\, inc
luding whether it necessarily has locally finite\nmeasure\, unique tangent
cones\, or geometric structure\n(rectifiability).\n\n \n\nIn this talk I
will attempt to give an overview of these ideas\, as\nwell as of recent wo
rk (joint with Camillo De Lellis and Anna\nSkorobogatova) answering some o
f the questions above related to\nsingularities of area minimisers.
DTSTART:20240408T180000Z
DTEND:20240408T190000Z
LAST-MODIFIED:20240408T185443Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-68
END:VEVENT
BEGIN:VEVENT
UID:30623366-3764-4538-b763-353162656564
DTSTAMP:20240418T115559Z
CREATED:20231206T182258Z
DESCRIPTION:Topic: Recent Progress on Hodge Loci\n\nSpeakers: Bruno Klingle
r\n\nGiven a quasi projective family S of complex algebraic varieties\, it
s\nHodge locus is the locus of points of S where the corresponding\nvariet
y admits exceptional Hodge classes (conjecturally: exceptional\nalgebraic
cycles). In this talk\, I will survey the many recent\nadvances in our und
erstanding of such loci\, as well as the remaining\nopen questions.
DTSTART:20240408T193000Z
DTEND:20240408T203000Z
LAST-MODIFIED:20240403T165302Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-20
END:VEVENT
BEGIN:VEVENT
UID:62613330-3837-4639-b665-376262636366
DTSTAMP:20240418T115559Z
CREATED:20240304T193924Z
DESCRIPTION:Topic: The Method of Hypergraph Containers\n\nSpeakers: Wojciec
h Samotij\n\nThe method of hypergraph containers is a widely-applicable te
chnique\nin probabilistic combinatorics. The method enables one to gain co
ntrol\nover the independent sets of many `interesting' hypergraphs by\nexp
loiting the fact that these sets exhibit a certain subtle\nclustering phen
omenon. Since many problems studied in extremal and\nprobabilistic combina
torics\, Ramsey theory\, and discrete geometry can\nbe (naturally) phrased
in terms of independent sets in auxiliary\nhypergraphs\, good control ove
r these sets has many `practical'\nconsequences.\n\nIn the first part of t
his talk\, I will provide a gentle introduction\nto the method\, guided an
d motivated by the following elementary\nproblem in Ramsey theory: Does th
ere exist a graph G without a\ncomplete subgraph on four vertices that can
not be partitioned into two\ntriangle-free graphs?\n\nThe heart of the met
hod is a hypergraph container lemma (HCL) – a\nformal statement that quant
ifies the aforementioned notion of\nclustering. In the second part of this
talk\, I will state and discuss\nseveral HCLs and\, if time permits\, ske
tch a (short) proof of one of\nthem (found recently in collaboration with
Marcelo Campos).
DTSTART:20240409T143000Z
DTEND:20240409T163000Z
LAST-MODIFIED:20240409T120918Z
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-563
END:VEVENT
BEGIN:VEVENT
UID:63663736-6538-4733-b635-323430336666
DTSTAMP:20240418T115559Z
CREATED:20240320T123848Z
DESCRIPTION:Topic: Rationalized Syntomic Cohomology\n\nSpeakers: Jacob Luri
e\n\nA few years ago\, Bhatt-Morrow-Scholze introduced an invariant of\n$p
$-adic formal schemes called syntomic cohomology\, which has a close\nrela
tionship to (étale-localized) algebraic $K$-theory. In a recent\npaper\, A
ntieau-Mathew-Morrow-Nikolaus showed that\, after inverting\n$p$\, syntomi
c cohomology admits a concrete description in terms of\nmore familiar inva
riants\, such as de Rham and crystalline cohomology.\nIn this talk\, I'll
explain an alternative perspective on their result\,\nwhich avoids the use
of $K$-theoretic methods.
DTSTART:20240410T180000Z
DTEND:20240410T190000Z
LAST-MODIFIED:20240410T132020Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Seminar
URL:https://www.ias.edu/math/events/special-year-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:62616564-3633-4065-b130-656536303535
DTSTAMP:20240418T115559Z
CREATED:20240112T153945Z
DESCRIPTION:Topic: Can One Hear the Winding Number?\n\nSpeakers: Stan Palas
ek\n\nWe discuss a modern perspective on the winding number on $S^1$ for\n
maps that may not be continuous. This reveals a surprising connection\nto
Fourier analysis and motivates the question: is the winding number\ndeterm
ined by the moduli of the Fourier coefficients?
DTSTART:20240410T220000Z
DTEND:20240411T000000Z
LAST-MODIFIED:20240405T123306Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-276
END:VEVENT
BEGIN:VEVENT
UID:64383631-6432-4431-b866-353665393961
DTSTAMP:20240418T115559Z
CREATED:20240126T151753Z
DESCRIPTION:Topic: Étale Sheaves on Bun$_G$ I\n\nSpeakers: Alexander Petrov
DTSTART:20240411T140000Z
DTEND:20240411T160000Z
LAST-MODIFIED:20240320T124531Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-28
END:VEVENT
BEGIN:VEVENT
UID:35663037-6335-4531-b366-336365616239
DTSTAMP:20240418T115559Z
CREATED:20240207T191308Z
DESCRIPTION:Topic: What is a Hardt-Simon foliation?\n\nSpeakers: Anna Skoro
bogatova
DTSTART:20240411T170000Z
DTEND:20240411T180000Z
LAST-MODIFIED:20240329T125056Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-26
END:VEVENT
BEGIN:VEVENT
UID:33616261-3164-4137-b464-343730343833
DTSTAMP:20240418T115559Z
CREATED:20231204T181757Z
DESCRIPTION:Topic: Ax-Schanuel and Exceptional Integrability\n\nSpeakers: J
onathan Pila\n\nIn joint work with Jacob Tsimerman we study when the primi
tive of a\ngiven algebraic function can be constructed using primitives fr
om some\ngiven finite set of algebraic functions\, their inverses\, algebr
aic\nfunctions\, and composition. When the given finite set is just ${1/x}
$\nthis is the classical problem of 'elementary integrability' (of\nalgebr
aic functions). I will discuss some results\, including a\ndecision proced
ure for this question\, and further problems and\nconjectures.
DTSTART:20240411T190000Z
DTEND:20240411T203000Z
LAST-MODIFIED:20240325T131425Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-23
END:VEVENT
BEGIN:VEVENT
UID:38373237-3761-4433-a262-633363663737
DTSTAMP:20240418T115559Z
CREATED:20240221T135934Z
DESCRIPTION:Topic: Infinite Orbits In Certain Elliptic Surfaces\, Ax Schan
uel\, and Ramification In The Legendre Family\n\nSpeakers: Umberto Zanni
er\n\nMotivated by work of Cantat-Dujardin\, we study orbits by translatio
ns\nin K3 surfaces with two elliptic fibrations. We prove in particular\nt
hat all orbits are infinite away from a proper Zariski-closed subset.\n\nA
mong the tools\, beyond the Pila-Wilkie counting\, are a new version of\nA
x-Schanuel by Bakker-Tsimerman and a(n old) theorem of Shioda on\nramifica
tion of sections of the Legendre family.\n\nThis is joint work with Corvaj
a and Tsimerman
DTSTART:20240411T203000Z
DTEND:20240411T213000Z
LAST-MODIFIED:20240325T132530Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-25
END:VEVENT
BEGIN:VEVENT
UID:65643530-3138-4564-b766-393636666237
DTSTAMP:20240418T115559Z
CREATED:20240112T152015Z
DESCRIPTION:Topic: Three 20 Minute Research Talks \n\nSpeakers: Yan-Lung Le
on Li \, Levin Maier \, Austin Christian \n\n *\nYAN-LUNG LEON LI : _Equiva
riant Lagrangian Correspondence and a\nConjecture of Teleman_\n\nIt has be
en a continuing interest\, often with profound importance\, in\nunderstand
ing the geometric and topological relationship between a\nHamiltonian G-ma
nifold Y and a symplectic quotient X. In this talk\, we\nshall provide pre
cise relations between their (equivariant) Lagrangian\nFloer theory. In pa
rticular\, we will address a conjecture of Teleman\,\nmotivated by 3d mirr
or symmetry\, on the 2d mirror construction of X\nfrom that of Y\, which g
eneralises Givental-Hori-Vafa mirror\nconstruction for toric varieties. Th
e key technical ingredient is the\nKim-Lau-Zheng’s equivariant extension o
f Fukaya’s Lagrangian\ncorrespondence tri-modules over equivariant Floer c
omplexes. Joint\nwork with Siu-Cheong Lau and Naichung Conan Leung. \n\n *
LEVIN MAIER (HEIDELBERG) : TBA\,\n *\nAUSTIN CHRISTIAN : Persistent Legendr
ian Contact Homology \n\nThis talk will report on an REU whose goal was to
introduce the notion\nof persistence into Legendrian contact homology. Th
e LCH of a\nLegendrian knot is computed as the homology of the knot's\nChe
kanov-Eliashberg DGA and is a well-studied invariant of Legendrian\nisotop
y types. For a given Legendrian embedding\, the\nChekanov-Eliashberg DGA a
dmits a natural filtration\, allowing for the\ncomputation of persistent h
omology. The purpose of this REU was to\ninitiate the study of the resulti
ng filtered homology. The project was\njoint with M. Basu\, E. Clayton\, D
. Irvine\, F. Mooers\, and W. Shen.
DTSTART:20240412T131500Z
DTEND:20240412T144500Z
LAST-MODIFIED:20240416T114916Z
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-145
END:VEVENT
BEGIN:VEVENT
UID:66653462-3533-4237-a464-626531616262
DTSTAMP:20240418T115559Z
CREATED:20240327T130411Z
DESCRIPTION:Topic: Bombieri and Calculus of Variations\n\nSpeakers: Camillo
De Lellis\n\nAffiliation: IBM von Neumann Professor\, School of Mathemati
cs \n\nVideo link: https://www.ias.edu/video/bombieri-and-calculus-variati
ons
DTSTART:20240412T180500Z
DTEND:20240412T183500Z
LAST-MODIFIED:20240412T185752Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Truth and Beauty: Bombieri's Mathematical Gardens
URL:https://www.ias.edu/math/events/truth-and-beauty-bombieris-mathematical
-gardens
END:VEVENT
BEGIN:VEVENT
UID:65373561-3330-4533-b633-333561613861
DTSTAMP:20240418T115559Z
CREATED:20240201T141602Z
DESCRIPTION:Topic: K-Theory Satisfies Nisnevich Descent\n\nSpeakers: Longke
Tang\n\nReview the notion of cd-structure for a Grothendieck topology and
\nexplain how it helps check the sheaf conditions. Introduce and discuss\n
the Nisnevich topology for schemes and analytic adic spaces\; in\nparticul
ar\, discuss their equivalent characterizations and describe\nthe points o
f the corresponding topoi. Prove that the Nisnevich\ntopology in both situ
ations comes with a cd-structure. Using it\, prove\nthat nuclear sheaves s
atisfies Nisnevich descent on qcqs analytic adic\nspaces and deduce from i
t Nisnevich descent for localizing invariants.\nSketch the proof of the fa
ct that étale descent is Nisnevich+Galois\nand prove that nuclear sheaves
satisfy étale descent.
DTSTART:20240412T183000Z
DTEND:20240412T203000Z
LAST-MODIFIED:20240201T141601Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:63386231-6266-4036-a439-353064373261
DTSTAMP:20240418T115559Z
CREATED:20240327T151930Z
DESCRIPTION:Topic: On Effectivity for Integral Points on Some Curves of Gen
us 2\n\nSpeakers: Umberto Zannier\n\nMost effective results for integral
points on affine curves use the\nworks of Baker or Bombieri on Diophantine
approximation by S-units.\nStill\, no completely general result is known
already in genus 2. I\nwill briefly present some recent work with Corvaja
and Lombardo\,\nobtaining effectivity for sets of curves of genus 2 which
are dense in\nthe moduli space.
DTSTART:20240412T184000Z
DTEND:20240412T191000Z
LAST-MODIFIED:20240416T124341Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Truth and Beauty: Bombieri's Mathematical Gardens
URL:https://www.ias.edu/math/events/truth-and-beauty-bombieris-mathematical
-gardens-0
END:VEVENT
BEGIN:VEVENT
UID:61663861-3132-4333-b466-343838303665
DTSTAMP:20240418T115559Z
CREATED:20240327T152839Z
DESCRIPTION:Topic: G-functions \,Q-points\, and Unlikely Intersections\n\nS
peakers: Jonathan Pila\n\nI will describe a problem of unlikely intersecti
ons in a product of\nmodular curves\, tracing the problem itself and the t
ools for some\nresults through the work of Enrico.
DTSTART:20240412T200000Z
DTEND:20240412T203000Z
LAST-MODIFIED:20240412T185908Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Truth and Beauty: Bombieri's Mathematical Gardens
URL:https://www.ias.edu/math/events/truth-and-beauty-bombieris-mathematical
-gardens-1
END:VEVENT
BEGIN:VEVENT
UID:62373536-3963-4533-a633-616438343363
DTSTAMP:20240418T115559Z
CREATED:20240327T153243Z
DESCRIPTION:Topic: Walking Through the Large Sieve\n\nSpeakers: Henryk Iwan
iec
DTSTART:20240412T203000Z
DTEND:20240412T210000Z
LAST-MODIFIED:20240416T124221Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Truth and Beauty: Bombieri's Mathematical Gardens
URL:https://www.ias.edu/math/events/truth-and-beauty-bombieris-mathematical
-gardens-2
END:VEVENT
BEGIN:VEVENT
UID:61383862-6638-4965-b266-656365623138
DTSTAMP:20240418T115559Z
CREATED:20240327T153507Z
DESCRIPTION:Topic: Some More Gems\n\nSpeakers: Peter Sarnak
DTSTART:20240412T210000Z
DTEND:20240412T211500Z
LAST-MODIFIED:20240416T124308Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Truth and Beauty: Bombieri's Mathematical Gardens
URL:https://www.ias.edu/math/events/truth-and-beauty-bombieris-mathematical
-gardens-3
END:VEVENT
BEGIN:VEVENT
UID:65353636-3031-4664-b535-313636316464
DTSTAMP:20240418T115559Z
CREATED:20240304T193550Z
DESCRIPTION:Topic: Graphs\, CSPs and Codes\n\nSpeakers: Madhu Sudan\n\nA sp
arsification of a structure\, with respect to a class of queries\,\nproduc
es a compressed representation of the structure while answering\nevery que
ry in the class approximately correctly. The seminal example\nof sparsific
ation is 'graph sparsification with respect to cut\nqueries'\, due to work
s of Karger and Benczur and Karger from the\n1990s\, showing that every gr
aph can be compressed to near-linear size\n(in the number of nodes in the
graph) while approximately capturing\nthe size of every cut in the graph.
In 2015 Kogan and Krauthgamer\ngeneralized the notion of sparsification to
all Constraint\nSatisfaction Problems (CSPs) --- here the structure to be
compressed\nis an instance of the CSP on n variables and a query is an as
signment\nto the n variables\, and the goal thus is to approximately deter
mine\nthe number of constraints satisfied by the queried assignment. Sever
al\nfollow up works gave some non-trivial CSPs that allow for near linear
\n(in n) sparsifications\, including classification of all binary CSPs\n(w
here each constraint applies to two variables) that allow such\nsparsifica
tion\, but the general picture seemed wide open.\n\nIn our works we introd
uce a new class of sparsification problems\,\nnamely code sparsification\,
where the structure to be preserved is a\nlinear error correcting code\;
the query is a message\, and the goal is\nto compute the approximate weigh
t of the encoding of the message. We\nshow that this class of problems giv
es the right language to abstract\nthe techniques of Karger and Benczur an
d Karger --- and indeed all\ncodes can be sparsified to length nearly line
ar in the number of\nmessage bits. This generalization already resolves so
me basic\nquestions in CSP sparsification. A further generalization to add
itive\ncodes over finite abelian groups gives even powerful results and in
\nparticular completely classifies the class of symmetric Boolean CSPs\nth
at allow nearly linear sized sparsification. (Prior to our work even\nthe
case of sparsification of 3-XOR constraints was open.) \n\nBased on joint
works with Sanjeev Khanna (U. Penn.) and Aaron (Louie)\nPutterman (Harvard
).
DTSTART:20240415T150000Z
DTEND:20240415T160000Z
LAST-MODIFIED:20240327T125200Z
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-572
END:VEVENT
BEGIN:VEVENT
UID:35323264-3266-4633-a638-656233363733
DTSTAMP:20240418T115559Z
CREATED:20240325T121705Z
DESCRIPTION:Topic: Recent Progress on the Problem of Compact Quotients\n\nS
peakers: Fanny Kassel\n\nThe so-called Problem of Compact Quotients asks f
or which homogeneous\nspaces G/H there exists a discrete subgroup Gamma of
G such that\nGamma\G/H is a compact manifold. We will discuss this proble
m\, and\ndescribe recent progress on it arising from making links with Ano
sov\nsubgroups\, an important class of discrete subgroups of Lie groups th
at\nare often « thinner » and more « flexible » than lattices.
DTSTART:20240415T180000Z
DTEND:20240415T190000Z
LAST-MODIFIED:20240409T135656Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-65
END:VEVENT
BEGIN:VEVENT
UID:33373361-6237-4338-a462-383764376339
DTSTAMP:20240418T115559Z
CREATED:20240314T154752Z
DESCRIPTION:Topic: Parallel Repetition for 3-Player XOR Games\n\nSpeakers:
Yang Liu\n\nIn a $3$-$\mathsf{XOR}$ game $\mathcal{G}$\, the verifier samp
les a\nchallenge $(x\,y\,z)\sim \mu$ where $\mu$ is a probability distribu
tion\nover $\Sigma\times\Gamma\times\Phi$\, and a map $t\colon\n\Sigma\ti
mes\Gamma\times\Phi\to\mathcal{A}$ for a finite Abelian group\n$\mathcal{A
}$ defining a constraint. The verifier sends the\nquestions $x$\, $y$ and
$z$ to the players Alice\, Bob and Charlie\nrespectively\, receives answ
ers $f(x)$\, $g(y)$ and $h(z)$ that are\nelements in $\mathcal{A}$ and acc
epts if $f(x)+g(y)+h(z) = t(x\,y\,z)$.\nThe value\, $\mathsf{val}(\mathcal
{G})$\, of the game is defined to be\nthe maximum probability the verifier
accepts over all players'\nstrategies.\n\nWe show that if $\mathcal{G}$ i
s a $3$-$\mathsf{XOR}$ game with value\nstrictly less than $1$\, whose und
erlying distribution over questions\n$\mu$ does not admit Abelian embeddin
gs into $(\mathbb{Z}\,+)$\, then\nthe value of the $n$-fold repetition of
$\mathcal{G}$ is exponentially\ndecaying. That is\, there exists $c=c(\mat
hcal{G})>0$ such that\n$\mathsf{val}(\mathcal{G}^{\otimes n})\leq 2^{-cn}$
. This extends a\nprevious result of [Braverman-Khot-Minzer\, FOCS 2023] s
howing\nexponential decay for the GHZ game. Our proof combines tools from
\nadditive combinatorics and tools from discrete Fourier analysis.\n\nBase
d on joint work with Amey Bhangale\, Mark Braverman\, Subhash Khot\,\nDor
Minzer.
DTSTART:20240416T143000Z
DTEND:20240416T163000Z
LAST-MODIFIED:20240416T124511Z
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-564
END:VEVENT
BEGIN:VEVENT
UID:36336239-3733-4638-a337-323231343236
DTSTAMP:20240418T115559Z
CREATED:20240112T154030Z
DESCRIPTION:Topic: Twisted Torus Embeddings\n\nSpeakers: Sahana Vasudevan\n
\nConsider a right angled cylinder. Glue the ends together after\ntwisting
many times to form a flat torus $C^1$-isometrically embedded\nin $R^3$. W
hat can we say about the global geometry of this embedding?
DTSTART:20240417T220000Z
DTEND:20240418T000000Z
LAST-MODIFIED:20240417T150939Z
LOCATION:Birch Garden\, Simons Hall
SUMMARY:Mathematical Conversations
URL:https://www.ias.edu/math/events/mathematical-conversations-278
END:VEVENT
BEGIN:VEVENT
UID:37643661-6461-4263-a665-326332366566
DTSTAMP:20240418T115559Z
CREATED:20240130T153948Z
DESCRIPTION:Topic: Étale Sheaves on Bun$_G$ II\n\nSpeakers: Sean Howe
DTSTART:20240418T140000Z
DTEND:20240418T160000Z
LAST-MODIFIED:20240320T124450Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-32
END:VEVENT
BEGIN:VEVENT
UID:62373932-6234-4165-b432-633332316261
DTSTAMP:20240418T115559Z
CREATED:20240213T144425Z
DESCRIPTION:Topic: What is Wave Turbulence?\n\nSpeakers: Michal Shavit
DTSTART:20240418T170000Z
DTEND:20240418T180000Z
LAST-MODIFIED:20240405T132428Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-27
END:VEVENT
BEGIN:VEVENT
UID:32313765-3535-4464-a531-656634663632
DTSTAMP:20240418T115559Z
CREATED:20231204T165404Z
DESCRIPTION:Topic: Zeta and Multizeta for Function Fields\n\nSpeakers: Dine
sh Thakur\n\nWe will describe emerging understanding of the structures rel
ated to\nthe arithmetic of Zeta and Multizeta values for function fields\n
through various results and conjectures.
DTSTART:20240418T203000Z
DTEND:20240418T213000Z
LAST-MODIFIED:20240403T131536Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-17
END:VEVENT
BEGIN:VEVENT
UID:66643330-6332-4339-b238-653334316562
DTSTAMP:20240418T115559Z
CREATED:20240112T152036Z
DESCRIPTION:Topic: From Gromov–Witten Theory to the Closing Lemma\n\nSpeake
rs: Shira Tanny\n\nAn old question of Poincaré concerns creating periodic
orbits via\nperturbations of a flow/diffeomorphism. While pseudoholomorphi
c\nmethods have successfully addressed this question in dimensions 2-3\,\n
the higher-dimensional case remains less understood. I will describe a\nco
nnection between this question and Gromov–Witten invariants\, which\ngoes
through a new class of invariants of symplectic cobordisms. This\nis a joi
nt work with Julian Chaidez.
DTSTART:20240419T131500Z
DTEND:20240419T144500Z
LAST-MODIFIED:20240410T150657Z
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-146
END:VEVENT
BEGIN:VEVENT
UID:65636566-3238-4762-a332-353832333563
DTSTAMP:20240418T115559Z
CREATED:20240404T171710Z
DESCRIPTION:Topic: Étale Hyperdescent\n\nSpeakers: Sally Gilles\n\nIntroduc
e the notion of hypersheaf and discuss its basic properties\nand equivalen
t characterizations. In particular\, discuss the notions\nof homotopy and
cohomological dimensions and their relation to\nhyperdescent. Sketch the p
roof of the fact for finite dimensional qcqs\nschemes and analytic adic sp
ace\, the corresponding Nisnevich topos has\nfinite homotopy dimension. Ex
plain the counterexample [CM21\, Example\n4.15] in the étale case. Sketch
the proof of the hypercompleteness\ncriterion in terms of topos theoretic
points (see [CM21\, Theorem 4.36]\nand its adic analog [And23\, Satz B.31]
) and use it to prove that for\nfinite dimensional analytic adic spaces\,
localizing invariants satisfy\nétale hyperdescent after chromatic localiza
tion (see [And23\, Satz\n5.14]) using the algebraic analog as input (see [
CM21\, Theorem 7.14]).
DTSTART:20240419T183000Z
DTEND:20240419T203000Z
LAST-MODIFIED:20240404T171807Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:62346136-6632-4332-b561-313261643265
DTSTAMP:20240418T115559Z
CREATED:20231207T143710Z
DESCRIPTION:Topic: Generalized Cylinder Limits of Ricci Flow Singularities
\n\nSpeakers: Natasa Sesum\n\nWe study multiply warped product\ngeometries
MN:=Bn×Fn1×···×FnA \n\ng = g_B + \sum_{a=1}^A v_a^2 g_{F^{n_a}} and show
that for an open\nset of initial data within multiply warped product geome
tries the\nRicci flow starting at any of those develops generalized cylind
er as\nsingularity model. More precisely\, for any p and q we construct an
\nopen set of initial data within multiply warped product geometris\nwhose
Ricci flows develop S^p\times R^q as a singularity model.
DTSTART:20240419T183000Z
DTEND:20240419T193000Z
LAST-MODIFIED:20240319T133935Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/PU Analysis Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-8
END:VEVENT
BEGIN:VEVENT
UID:31316561-6662-4863-b664-626132653461
DTSTAMP:20240418T115559Z
CREATED:20231207T143620Z
DESCRIPTION:Topic: An Energy Model for Harmonic Graphs with Junctions\n\nSp
eakers: Ovidiu Savin\n\nWe consider an energy model for N ordered elastic
membranes subject to\nforcing and boundary conditions. The heights of the
membranes are\ndescribed by real functions u_1\, u_2\,...\,u_N\, which min
imize an energy\nfunctional involving the Dirichlet integral and a potenti
al term\ndepending on the cardinality of the set {u_1\,..\,u_N}. The poten
tial\nterm corresponds to the physical situation when consecutive membrane
s\nare glued to each other on their coincidence set. The problem can be\nu
nderstood as a system of N-1 coupled one-phase free boundary problems\nwit
h interacting free boundaries. \n\nI will review the known results in the
scalar case\, and discuss the\nfree boundary regularity when dealing with
3 or more membranes (joint\nwith D. De Silva.)
DTSTART:20240419T200000Z
DTEND:20240419T210000Z
LAST-MODIFIED:20240314T145017Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/PU Analysis Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-analysis-seminar-7
END:VEVENT
BEGIN:VEVENT
UID:63306630-6133-4731-b930-306465376165
DTSTAMP:20240418T115559Z
CREATED:20240205T201351Z
DESCRIPTION:Topic: Additive Combinatorics Without Groups\n\nSpeakers: Huy T
uan Pham\n\nSubsets $A$ of an abelian group with a small doubling $|A+A|/|
A|$ have\nbeen extensively studied\, and results of Freiman\, Ruzsa and Gr
een give\nfundamental structural descriptions of such sets. These have imp
ortant\napplications across combinatorics and computer science\, and have
\nmotivated the development of a number of influential techniques. \n\nIn
this talk\, I will discuss a new combinatorial approach to several\nproble
ms involving sets with small doubling. \n\nOver abelian groups where all e
lements have order at most $r$\, the\nFreiman-Ruzsa theorem says that a se
t $A$ with $|A+A| \le K|A|$ is\ncontained in a subgroup of size at most $O
_{r\,K}(|A|)$\, and Ruzsa\nconjectured a tight dependence on $K$. In the f
irst application\, I\nwill discuss a short complete resolution of Ruzsa’s
conjecture. \n\nIn the second application\, we show that random functions
give good\nsumset extractors in general (possibly nonabelian) groups. \n\n
Surprisingly\, our approach is crucially motivated by purely\ncombinatoria
l graph-theoretic insights\, where we find that the group\nstructure is su
perfluous and can be replaced by much more general\ncombinatorial structur
es. In particular\, I will describe a further\ncorollary\, which is a comb
inatorial generalization of the\nFreiman-Ruzsa theorem over $\mathbb{F}_2^
n$. \n\nBased on joint work with David Conlon\, Jacob Fox and Liana\nYepre
myan.
DTSTART:20240422T150000Z
DTEND:20240422T160000Z
LAST-MODIFIED:20240408T124636Z
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-569
END:VEVENT
BEGIN:VEVENT
UID:36343462-3439-4663-b864-313437616461
DTSTAMP:20240418T115559Z
CREATED:20240112T155430Z
DESCRIPTION:Topic: Big Fiber Theorems\, Ideal-Valued Measures\, and Symplec
tic Topology\n\nSpeakers: Leonid Polterovich\n\nI will discuss an adaptati
on of Gromov's ideal-valued measures to\nsymplectic topology. It leads to
a unified viewpoint at three 'big\nfiber theorems': the Centerpoint Theore
m in combinatorial geometry\,\nthe Maximal Fiber Inequality in topology\,
and the Non-displaceable\nFiber Theorem in symplectic topology\, and yield
s applications to\nsymplectic rigidity. Joint work with Adi Dickstein\, Ya
niv Ganor\, and\nFrol Zapolsky.
DTSTART:20240422T163000Z
DTEND:20240422T174500Z
LAST-MODIFIED:20240410T182455Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:32336134-3364-4161-b363-353166373932
DTSTAMP:20240418T115559Z
CREATED:20240325T121727Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Matthew Morrow
DTSTART:20240422T180000Z
DTEND:20240422T190000Z
LAST-MODIFIED:20240325T121949Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-66
END:VEVENT
BEGIN:VEVENT
UID:64383538-3261-4630-b832-626239323633
DTSTAMP:20240418T115559Z
CREATED:20231206T182326Z
DESCRIPTION:Topic: Pointwise Good Reduction Criteria for Local Systems\n\nS
peakers: Ziquan Yang\n\nLet S be a connected smooth rigid analytic variety
over a p-adic field\nK and let T be a p-adic local system over S. A celeb
rated theorem of\nLiu and Zhu says that if V is de Rham at one classical p
oint\, then V\nis globally de Rham. When S has good reduction over O_K\, o
ne naturally\nasks about analogous statements when we replace 'de Rham' by
\n'crystalline' or 'semistable'. It is well known that the naive\nanalogue
s are false. \n\nIn an ongoing joint work with Haoyang Guo (with many cont
ributions by\nSasha Petrov)\, we prove that Liu-Zhu's result can be remedi
ed if one\ntests at 'sufficiently many' points\, when we choose a good int
egral\nmodel for S. In particular\, if V is crystalline or semistable at e
very\nclassical point\, then it is crystalline or semistable relative to t
he\nchosen integral model. As a direct consequence\, the notion of\ncrysta
llinity or semistability of V depends only on the rigid analytic\nvariety
S and not on the choice of a good model (provided that there\nexists one).
I will also discuss the l-adic analogue of this result as\nwell as its re
lation to purity statements. If time permits\, I will\ndiscuss some specul
ations yet to be affirmed.
DTSTART:20240422T193000Z
DTEND:20240422T203000Z
LAST-MODIFIED:20240417T165136Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-22
END:VEVENT
BEGIN:VEVENT
UID:61643239-3164-4232-a261-393762316330
DTSTAMP:20240418T115559Z
CREATED:20240205T201531Z
DESCRIPTION:Topic: Random Cayley Graphs From a Combinatorial Perspective \n
\nSpeakers: Huy Tuan Pham\n\nCayley graphs provide interesting bridges bet
ween graph theory\,\nadditive combinatorics and group theory. Fixing an am
bient finite\ngroup\, random Cayley graphs are constructed by choosing a g
enerating\nset at random. These graphs reflect interesting symmetries and
\nproperties of the group\, at the cost of inducing complex\ndependencies.
\n\nI will discuss several results on clique and independence numbers of
\nrandom Cayley graphs in general groups\, progress towards a conjecture\n
of Alon on existence of Ramsey Cayley graphs\, and a proof of a\nconjectur
e of Alon and Orlitsky. These questions are naturally\nconnected with some
fundamental problems in additive combinatorics.\nSurprisingly\, our insig
hts suggest that in many of these problems\, the\ngroup structure is super
fluous and can be replaced by much more\ngeneral combinatorial structures.
\n\nI will discuss the main general combinatorial models and ideas behind
\nthese results. I will also discuss how they relate to the additive\ncomb
inatorial corollaries discussed in Monday’s talk. \n\nBased on joint work
with David Conlon\, Jacob Fox and Liana\nYepremyan.
DTSTART:20240423T143000Z
DTEND:20240423T163000Z
LAST-MODIFIED:20240408T124839Z
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-560
END:VEVENT
BEGIN:VEVENT
UID:32346136-3834-4065-a533-366536396434
DTSTAMP:20240418T115559Z
CREATED:20240130T154101Z
DESCRIPTION:Topic: The Hecke Action\n\nSpeakers: Dmitry Kubrak
DTSTART:20240425T140000Z
DTEND:20240425T160000Z
LAST-MODIFIED:20240130T154100Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Special Year Learning Seminar
URL:https://www.ias.edu/math/events/special-year-learning-seminar-33
END:VEVENT
BEGIN:VEVENT
UID:61346266-3364-4561-a562-363530326633
DTSTAMP:20240418T115559Z
CREATED:20240213T144722Z
DESCRIPTION:Topic: What is stochastic quantization?\n\nSpeakers: Bjoern Bri
ngmann
DTSTART:20240425T170000Z
DTEND:20240425T180000Z
LAST-MODIFIED:20240417T184656Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-28
END:VEVENT
BEGIN:VEVENT
UID:32626666-3731-4533-b633-363561346230
DTSTAMP:20240418T115559Z
CREATED:20231204T181824Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Eric Urban\n\nTBA
DTSTART:20240425T203000Z
DTEND:20240425T213000Z
LAST-MODIFIED:20240216T185628Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-24
END:VEVENT
BEGIN:VEVENT
UID:63343834-6464-4334-a239-666439326435
DTSTAMP:20240418T115559Z
CREATED:20240404T171815Z
DESCRIPTION:Topic: Grothendieck-Riemann-Roch\, Part I\n\nSpeakers: Vadim Vo
logodsky\n\nExplain the formulation of the Grothendieck–Riemann–Roch theor
em\nfor analytic adic spaces: go through [And23\, pp. 32-38] and define al
l\nrelevant objects and maps. Before explaining the construction of the\nC
hern class map\, define the sheaf KU∧p on analytic adic spaces and\nidenti
fy it with LK(1)K(−) as in [And23\, Satz 5.15] (see also the\npreceding di
scussion therein and [BCM20\, Section 3])\; in particular\,\nstate the Efi
mov continuity theorem. Finish by constructing the Chern\nclass map using
[And23\, Satz 6.12] (do not prove it!).
DTSTART:20240426T183000Z
DTEND:20240426T203000Z
LAST-MODIFIED:20240404T171924Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:34646363-6334-4934-b734-303863363565
DTSTAMP:20240418T115559Z
CREATED:20240207T145714Z
DESCRIPTION:Topic: Renormalization\, Diffusion Models\, and Optimal Transpo
rt\n\nSpeakers: Semon Kirillovich Rezchikov\n\nI will explain how Polchins
ki’s formulation of the renormalization\ngroup of a statistical field theo
ry can formally be seen as a gradient\nflow equation for a relative entrop
y functional. I will then discuss\nhow this idea can be used to design ada
ptive bridge sampling schemes\nfor lattice field theories based on diffusi
on models which learn the\nRG flow of the theory. Throughout I will discus
s various questions in\nthis area\, some mathematical and some numerical.
\n\nBased on joint work with Jordan Cotler.
DTSTART:20240426T183000Z
DTEND:20240426T193000Z
LAST-MODIFIED:20240415T121250Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-28
END:VEVENT
BEGIN:VEVENT
UID:30616337-3138-4463-a538-306165633332
DTSTAMP:20240418T115559Z
CREATED:20240212T154359Z
DESCRIPTION:Topic: Lower Bounds for Set-Multilinear Branching Programs\n\nS
peakers: Shubhangi Saraf\n\nIn this talk\, I will discuss lower bounds for
a certain\nset-multilinear restriction of algebraic branching programs. T
he\nsignificance of the lower bound and the model is underscored by the\nr
ecent work of Bhargav\, Dwivedi\, and Saxena (2023)\, which showed that\ns
uper-polynomial lower bounds for the model of sum of ordered set\nmultilin
ear ABPs -- when the underlying polynomial of sufficiently low\ndegree --
would imply super-polynomial lower bounds against general\nABPs\, thereby
resolving Valiant's longstanding conjecture that the\npermanent polynomial
cannot be computed efficiently by ABPs. We will\ndiscuss a recent result
which 'almost' meets this low-degree demand.\n\nThis is based on joint wor
k with Prerona Chatterjee\, Deepanshu Kush\nand Amir Shpilka.
DTSTART:20240429T150000Z
DTEND:20240429T160000Z
LAST-MODIFIED:20240408T124210Z
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-570
END:VEVENT
BEGIN:VEVENT
UID:33653962-6164-4634-a261-326133313835
DTSTAMP:20240418T115559Z
CREATED:20240325T121751Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Sahana Vasudevan
DTSTART:20240429T180000Z
DTEND:20240429T190000Z
LAST-MODIFIED:20240325T122042Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-67
END:VEVENT
BEGIN:VEVENT
UID:39313566-6663-4239-b164-333331356664
DTSTAMP:20240418T115559Z
CREATED:20231206T182354Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Pablo Boixeda Alvarez
DTSTART:20240429T193000Z
DTEND:20240429T203000Z
LAST-MODIFIED:20240116T154358Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-26
END:VEVENT
BEGIN:VEVENT
UID:35653638-6662-4865-a465-323261346138
DTSTAMP:20240418T115559Z
CREATED:20240314T154957Z
DESCRIPTION:Topic: Incidence Bounds via Extremal Graph Theory\n\nSpeakers:
Istvan Tomon\n\nA cornerstone result in geometry is the Szemerédi–Trotter
theorem\,\nwhich gives a sharp bound on the maximum number of incidences b
etween\n$m$ points and $n$ lines in the real plane. A natural generalizati
on\nof this is to consider point-hyperplane incidences in higher\ndimensio
ns. As proposed by Chazelle in the 90's\, we are interested in\nthe maximu
m number of incidences between $m$ points and $n$\nhyperplanes\, assuming
no $s$ points lie in the intersection of $s$\nhyperplanes. The latter cond
ition is needed to\navoid trivialities\, like all hyperplanes intersecting
in a\nline\, and all points contained in this line. Starting from dimensi
on\n3\, matching lower and upper bounds are no longer known for this\nprob
lem. I will talk about how to prove sharp bounds over arbitrary\nfields us
ing methods from extremal graph theory\, and discuss\nanalogues of this pr
oblem concerning point-variety incidences and\nunit distance graphs.\n\nBa
sed on a joint work with Aleksa Milojević and Benny Sudakov.
DTSTART:20240430T143000Z
DTEND:20240430T163000Z
LAST-MODIFIED:20240405T150807Z
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-565
END:VEVENT
BEGIN:VEVENT
UID:61356463-3738-4038-b966-313130643931
DTSTAMP:20240418T115559Z
CREATED:20240213T144904Z
DESCRIPTION:Speakers: Wanchun Shen\n\nTo Be Announced.
DTSTART:20240502T170000Z
DTEND:20240502T180000Z
LAST-MODIFIED:20240222T201512Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-29
END:VEVENT
BEGIN:VEVENT
UID:37383966-3961-4630-b031-396139613263
DTSTAMP:20240418T115559Z
CREATED:20231204T181847Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Spencer Leslie\n\nTBA
DTSTART:20240502T203000Z
DTEND:20240502T213000Z
LAST-MODIFIED:20240118T133645Z
LOCATION:*Princeton University\, Fine 214*
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-21
END:VEVENT
BEGIN:VEVENT
UID:37653862-3732-4364-a162-376562333937
DTSTAMP:20240418T115559Z
CREATED:20240410T192036Z
DESCRIPTION:Topic: TBA
DTSTART:20240503T131500Z
DTEND:20240503T144500Z
LAST-MODIFIED:20240410T192142Z
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-158
END:VEVENT
BEGIN:VEVENT
UID:33333566-3333-4832-a633-336231333332
DTSTAMP:20240418T115559Z
CREATED:20240207T145738Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Bodan Arsovski
DTSTART:20240503T183000Z
DTEND:20240503T193000Z
LAST-MODIFIED:20240212T132718Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-30
END:VEVENT
BEGIN:VEVENT
UID:62336136-6434-4431-a135-356262323632
DTSTAMP:20240418T115559Z
CREATED:20240404T171930Z
DESCRIPTION:Topic: Grothendieck-Riemann-Roch\, Part II\n\nSpeakers: Dmitry
Kubrak\n\nProve the Grothendieck–Riemann–Roch theorem: first prove [And23\
,\nSatz 6.12] and then explain the sketch of the proof on [And23\, p. 38]
\nby proving the relevant statements from the second half of [CS22\,\nLect
ure 15].
DTSTART:20240503T183000Z
DTEND:20240503T203000Z
LAST-MODIFIED:20240404T172018Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:61666637-3334-4161-a466-643735363435
DTSTAMP:20240418T115559Z
CREATED:20240305T152144Z
DESCRIPTION:Topic: TBA\n\nSpeakers: Egor Shelukhin
DTSTART:20240506T163000Z
DTEND:20240506T174500Z
LAST-MODIFIED:20240305T152143Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Symplectic Geometry Seminar
URL:https://www.ias.edu/math/events/symplectic-geometry-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:32663961-6337-4864-a134-346462643132
DTSTAMP:20240418T115559Z
CREATED:20240326T140749Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Sam Raskin
DTSTART:20240506T193000Z
DTEND:20240506T203000Z
LAST-MODIFIED:20240326T140846Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-19
END:VEVENT
BEGIN:VEVENT
UID:63346366-3538-4765-b663-393364643566
DTSTAMP:20240418T115559Z
CREATED:20240322T175928Z
DESCRIPTION:Speakers: Sahana Vasudevan\n\nTo Be Announced.
DTSTART:20240509T170000Z
DTEND:20240509T180000Z
LAST-MODIFIED:20240322T180013Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-31
END:VEVENT
BEGIN:VEVENT
UID:66343562-3739-4061-a239-393266663937
DTSTAMP:20240418T115559Z
CREATED:20231204T165425Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Gyujin Oh\n\nTBA
DTSTART:20240509T203000Z
DTEND:20240509T213000Z
LAST-MODIFIED:20240312T151310Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint PU/IAS Number Theory
URL:https://www.ias.edu/math/events/joint-puias-number-theory-18
END:VEVENT
BEGIN:VEVENT
UID:39643862-3234-4230-a434-386362323863
DTSTAMP:20240418T115559Z
CREATED:20240112T152129Z
DESCRIPTION:Topic: TBA
DTSTART:20240510T131500Z
DTEND:20240510T144500Z
LAST-MODIFIED:20240410T192325Z
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-148
END:VEVENT
BEGIN:VEVENT
UID:66373836-6639-4364-b966-306238353436
DTSTAMP:20240418T115559Z
CREATED:20240207T145803Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Mariya Shcherbina
DTSTART:20240510T183000Z
DTEND:20240510T193000Z
LAST-MODIFIED:20240212T132756Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-31
END:VEVENT
BEGIN:VEVENT
UID:37316533-6133-4830-a263-336336333762
DTSTAMP:20240418T115559Z
CREATED:20240329T180207Z
DESCRIPTION:Speakers: Matthew Hastings
DTSTART:20240513T150000Z
DTEND:20240513T160000Z
LAST-MODIFIED:20240329T180410Z
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-573
END:VEVENT
BEGIN:VEVENT
UID:37666330-3237-4166-a463-373864653638
DTSTAMP:20240418T115559Z
CREATED:20240222T185409Z
DESCRIPTION:Speakers: Siqi Liu\n\nTo Be Announced.
DTSTART:20240516T170000Z
DTEND:20240516T180000Z
LAST-MODIFIED:20240222T190942Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:What is...?
URL:https://www.ias.edu/math/events/what-30
END:VEVENT
BEGIN:VEVENT
UID:63386333-3535-4231-a136-326333353135
DTSTAMP:20240418T115559Z
CREATED:20240112T152151Z
DESCRIPTION:Topic: TBA
DTSTART:20240517T131500Z
DTEND:20240517T144500Z
LAST-MODIFIED:20240112T152150Z
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-149
END:VEVENT
BEGIN:VEVENT
UID:30653762-6438-4166-b366-663865393538
DTSTAMP:20240418T115559Z
CREATED:20240403T144235Z
DESCRIPTION:Topic: Deligne-Lusztig theory: examples and applications\n\nSpe
akers: Charlotte Chan\n\nAffiliation: University of Michigan\n\nAbstract:
Geometry and representation theory are intertwined in deep\nand foundation
al ways. One of the most important instances of this\nrelationship was unc
overed in the 1970s by Deligne and Lusztig: the\nrepresentation theory of
matrix groups over finite fields is encoded\nin the geometry of a natural
'partition' of flag varieties. Recent\ndevelopments have revealed rich con
nections between Deligne-Lusztig\nvarieties and geometry studied in number
-theoretic contexts. In this\nlecture series\, we give an example-based to
ur of these ideas\, focusing\non how to extract concrete information from
theory.
DTSTART:20240520T133000Z
DTEND:20240520T143000Z
LAST-MODIFIED:20240403T144639Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics
END:VEVENT
BEGIN:VEVENT
UID:31303762-6631-4365-b939-623966346133
DTSTAMP:20240418T115559Z
CREATED:20240403T145411Z
DESCRIPTION:Topic: A Glimpse into the Langlands Program\n\nSpeakers: Ana Ca
raiani\n\nAffiliation: Imperial College\, London\n\nAbstract: The goal of
this lecture series is to give you a glimpse\ninto the Langlands program\,
a central topic at the intersection of\nalgebraic number theory\, algebra
ic geometry and representation theory.\nIn the first lecture\, we will loo
k at a celebrated instance of the\nLanglands correspondence\, namely the m
odularity of elliptic curves. I\nwill try to give you a sense of the diffe
rent meanings of modularity\nand of the multitude of ingredients that go i
nto establishing such a\nresult. In the following lectures\, I will focus
on the more geometric\ningredients\, first in the special case of the modu
lar curve and then\nfor higher-dimensional Shimura varieties.
DTSTART:20240520T144500Z
DTEND:20240520T154500Z
LAST-MODIFIED:20240403T145713Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
3
END:VEVENT
BEGIN:VEVENT
UID:65336531-3632-4836-b234-666532303230
DTSTAMP:20240418T115559Z
CREATED:20240403T151246Z
DESCRIPTION:Topic: TBA\n\nSpeakers: Mathilde Gerbelli-Gauthier\n\nAffiliati
on: McGill University
DTSTART:20240520T203000Z
DTEND:20240520T211000Z
LAST-MODIFIED:20240403T151417Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
9
END:VEVENT
BEGIN:VEVENT
UID:37666435-6637-4237-b734-646263363564
DTSTAMP:20240418T115559Z
CREATED:20240403T150420Z
DESCRIPTION:Topic: Emerton-Gee Stack for GL2 and Categorical p-adic Langlan
ds\n\nSpeakers: Kalyani Kansal\n\nAffiliation: Member\, School of Mathemat
ics\n\nAbstract: The Emerton-Gee stack is a stack of etale $\phi$ modules\
,\nand can be viewed as a stack of p-adic representations for the Galois\n
group of a finite extension $K$ of $Qp$. In this talk\, we will\nintroduce
the stack and talk about its role in the conjecture by\nEmerton\, Gee and
Hellmann on categorical p-adic Langlands. We will\nfocus attention on the
reduced part of the stack for GL2\, which can be\nviewed as parametrizing
two-dimensional representations with mod p\ncoefficients\, and discuss va
rious questions and results motivated by\nthis conjectural categorical cor
respondence.
DTSTART:20240520T211500Z
DTEND:20240520T215500Z
LAST-MODIFIED:20240415T152820Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
7
END:VEVENT
BEGIN:VEVENT
UID:31383739-6130-4161-b236-336331303230
DTSTAMP:20240418T115559Z
CREATED:20240403T144747Z
DESCRIPTION:Topic: Deligne-Lusztig theory: examples and applications\n\nSpe
akers: Charlotte Chan\n\nAffiliation: University of Michigan\n\nAbstract:
Geometry and representation theory are intertwined in deep\nand foundation
al ways. One of the most important instances of this\nrelationship was unc
overed in the 1970s by Deligne and Lusztig: the\nrepresentation theory of
matrix groups over finite fields is encoded\nin the geometry of a natural
'partition' of flag varieties. Recent\ndevelopments have revealed rich con
nections between Deligne-Lusztig\nvarieties and geometry studied in number
-theoretic contexts. In this\nlecture series\, we give an example-based to
ur of these ideas\, focusing\non how to extract concrete information from
theory.
DTSTART:20240521T133000Z
DTEND:20240521T143000Z
LAST-MODIFIED:20240403T144813Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
0
END:VEVENT
BEGIN:VEVENT
UID:35663939-6466-4739-a434-353739303139
DTSTAMP:20240418T115559Z
CREATED:20240403T145912Z
DESCRIPTION:Topic: A Glimpse into the Langlands Program\n\nSpeakers: Ana Ca
raiani\n\nAffiliation: Imperial College\, London\n\nAbstract: The goal of
this lecture series is to give you a glimpse\ninto the Langlands program\,
a central topic at the intersection of\nalgebraic number theory\, algebra
ic geometry and representation theory.\nIn the first lecture\, we will loo
k at a celebrated instance of the\nLanglands correspondence\, namely the m
odularity of elliptic curves. I\nwill try to give you a sense of the diffe
rent meanings of modularity\nand of the multitude of ingredients that go i
nto establishing such a\nresult. In the following lectures\, I will focus
on the more geometric\ningredients\, first in the special case of the modu
lar curve and then\nfor higher-dimensional Shimura varieties.
DTSTART:20240521T144500Z
DTEND:20240521T154500Z
LAST-MODIFIED:20240403T145927Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
4
END:VEVENT
BEGIN:VEVENT
UID:62636432-3530-4736-b563-373533343834
DTSTAMP:20240418T115559Z
CREATED:20240403T151537Z
DESCRIPTION:Topic: Colloquium
DTSTART:20240521T203000Z
DTEND:20240521T213000Z
LAST-MODIFIED:20240403T151630Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
11
END:VEVENT
BEGIN:VEVENT
UID:62656463-6363-4437-b034-326330636232
DTSTAMP:20240418T115559Z
CREATED:20240403T144837Z
DESCRIPTION:Topic: Deligne-Lusztig theory: examples and applications\n\nSpe
akers: Charlotte Chan\n\nAffiliation: University of Michigan\n\nAbstract:
Geometry and representation theory are intertwined in deep\nand foundation
al ways. One of the most important instances of this\nrelationship was unc
overed in the 1970s by Deligne and Lusztig: the\nrepresentation theory of
matrix groups over finite fields is encoded\nin the geometry of a natural
'partition' of flag varieties. Recent\ndevelopments have revealed rich con
nections between Deligne-Lusztig\nvarieties and geometry studied in number
-theoretic contexts. In this\nlecture series\, we give an example-based to
ur of these ideas\, focusing\non how to extract concrete information from
theory.
DTSTART:20240523T133000Z
DTEND:20240523T143000Z
LAST-MODIFIED:20240403T145328Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
1
END:VEVENT
BEGIN:VEVENT
UID:62646637-3633-4534-a561-626635636364
DTSTAMP:20240418T115559Z
CREATED:20240403T150026Z
DESCRIPTION:Topic: A Glimpse into the Langlands Program\n\nSpeakers: Ana Ca
raiani\n\nAffiliation: Imperial College\, London\n\nAbstract: The goal of
this lecture series is to give you a glimpse\ninto the Langlands program\,
a central topic at the intersection of\nalgebraic number theory\, algebra
ic geometry and representation theory.\nIn the first lecture\, we will loo
k at a celebrated instance of the\nLanglands correspondence\, namely the m
odularity of elliptic curves. I\nwill try to give you a sense of the diffe
rent meanings of modularity\nand of the multitude of ingredients that go i
nto establishing such a\nresult. In the following lectures\, I will focus
on the more geometric\ningredients\, first in the special case of the modu
lar curve and then\nfor higher-dimensional Shimura varieties.
DTSTART:20240523T144500Z
DTEND:20240523T154500Z
LAST-MODIFIED:20240403T150043Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
5
END:VEVENT
BEGIN:VEVENT
UID:64636464-3064-4430-b038-336365356464
DTSTAMP:20240418T115559Z
CREATED:20240410T191805Z
DESCRIPTION:Topic: Publishing Math Books\n\nSpeakers: Diana Gillooly
DTSTART:20240523T160000Z
DTEND:20240523T163000Z
LAST-MODIFIED:20240410T192055Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
12
END:VEVENT
BEGIN:VEVENT
UID:34376666-3566-4966-a638-346262376636
DTSTAMP:20240418T115559Z
CREATED:20240403T151425Z
DESCRIPTION:Topic: Integral Hecke Correspondences\n\nSpeakers: Si Ying Lee
\n\nAffiliation: Harvard University\n\nShimura varieties are an important
geometric object in the Langlands\nprogram\, because the Hecke (adelic gro
up) action allows us to view\nvarious cohomology groups as Hecke modules.
Moreover\, the cohomology\nadmits an integral structure when the Shimura v
ariety has an integral\nmodel\, and we hence want to extend this Hecke act
ion integrally. I\nwill talk about constructing integral models for Hecke
correspondences\nin both the global and local (Rapoport-Zink spaces) setti
ng\, to get\nquasi-smooth derived (formal) schemes. This is joint work in
progress\nwith Keerthi Madapusi.
DTSTART:20240523T203000Z
DTEND:20240523T211000Z
LAST-MODIFIED:20240410T140940Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
10
END:VEVENT
BEGIN:VEVENT
UID:62653363-6634-4437-b561-306234626262
DTSTAMP:20240418T115559Z
CREATED:20240403T151001Z
DESCRIPTION:Topic: Modular Generating Series for Real Quadratic Heegner Obj
ects\n\nSpeakers: Alice Pozzi\n\nAffiliation: University of Bristol \n\nAb
stract: The theory of elliptic curves with complex multiplication\nhas yie
lded some striking arithmetic applications\, ranging from (cases\nof) Hilb
ert’s Twelfth Problem to the Birch and Swinnerton-Dyer\nConjecture. These
applications rely on the construction of certain\n“Heegner objects”\, aris
ing from imaginary quadratic points on the\ncomplex upper half plane\; the
most famous examples of these are\nHeegner points. \n\nIn recent years\,
conjectural analogues of these Heegner objects for\nreal quadratic fields
have been constructed via p-adic methods. In\nthis talk\, I will discuss h
ow Heegner objects for real quadratic\nfields can be used to obtain modula
r generating series\, that is\,\nformal q-series that are q-expansions of
classical modular forms. This\nis joint work with Judith Ludwig\, Isabella
Negrini\, Sandra Rozensztajn\nand Hanneke Wiersema.
DTSTART:20240523T211500Z
DTEND:20240523T215500Z
LAST-MODIFIED:20240415T153034Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
8
END:VEVENT
BEGIN:VEVENT
UID:64323463-3938-4363-a565-613033663662
DTSTAMP:20240418T115559Z
CREATED:20240112T152212Z
DESCRIPTION:Topic: TBA
DTSTART:20240524T131500Z
DTEND:20240524T144500Z
LAST-MODIFIED:20240112T152211Z
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-150
END:VEVENT
BEGIN:VEVENT
UID:34363166-3634-4733-b639-663265393065
DTSTAMP:20240418T115559Z
CREATED:20240403T144930Z
DESCRIPTION:Topic: Deligne-Lusztig theory: examples and applications\n\nSpe
akers: Charlotte Chan\n\nAffiliation: University of Michigan\n\nAbstract:
Geometry and representation theory are intertwined in deep\nand foundation
al ways. One of the most important instances of this\nrelationship was unc
overed in the 1970s by Deligne and Lusztig: the\nrepresentation theory of
matrix groups over finite fields is encoded\nin the geometry of a natural
'partition' of flag varieties. Recent\ndevelopments have revealed rich con
nections between Deligne-Lusztig\nvarieties and geometry studied in number
-theoretic contexts. In this\nlecture series\, we give an example-based to
ur of these ideas\, focusing\non how to extract concrete information from
theory.
DTSTART:20240524T133000Z
DTEND:20240524T143000Z
LAST-MODIFIED:20240403T145350Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
2
END:VEVENT
BEGIN:VEVENT
UID:66643761-6634-4130-b437-646639613464
DTSTAMP:20240418T115559Z
CREATED:20240403T150109Z
DESCRIPTION:Topic: A Glimpse into the Langlands Program\n\nSpeakers: Ana Ca
raiani\n\nAffiliation: Imperial College\, London\n\nAbstract: The goal of
this lecture series is to give you a glimpse\ninto the Langlands program\,
a central topic at the intersection of\nalgebraic number theory\, algebra
ic geometry and representation theory.\nIn the first lecture\, we will loo
k at a celebrated instance of the\nLanglands correspondence\, namely the m
odularity of elliptic curves. I\nwill try to give you a sense of the diffe
rent meanings of modularity\nand of the multitude of ingredients that go i
nto establishing such a\nresult. In the following lectures\, I will focus
on the more geometric\ningredients\, first in the special case of the modu
lar curve and then\nfor higher-dimensional Shimura varieties.
DTSTART:20240524T144500Z
DTEND:20240524T154500Z
LAST-MODIFIED:20240403T150342Z
LOCATION:Simonyi Hall 101
SUMMARY:2024 Program for Women+ and Mathematics
URL:https://www.ias.edu/math/wam/events/2024-program-women-and-mathematics-
6
END:VEVENT
BEGIN:VEVENT
UID:39353566-3835-4565-b233-323633383362
DTSTAMP:20240418T115559Z
CREATED:20240207T145855Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Sara Daneri
DTSTART:20240524T183000Z
DTEND:20240524T193000Z
LAST-MODIFIED:20240212T133008Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-33
END:VEVENT
BEGIN:VEVENT
UID:64613038-3435-4739-a161-643032353965
DTSTAMP:20240418T115559Z
CREATED:20240112T152248Z
DESCRIPTION:Topic: TBA
DTSTART:20240531T131500Z
DTEND:20240531T144500Z
LAST-MODIFIED:20240112T152247Z
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-151
END:VEVENT
BEGIN:VEVENT
UID:30303038-3630-4437-a361-663336356535
DTSTAMP:20240418T115559Z
CREATED:20240207T150202Z
DESCRIPTION:Topic: TBD\n\nSpeakers: Sky Cao
DTSTART:20240531T183000Z
DTEND:20240531T193000Z
LAST-MODIFIED:20240212T133158Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-34
END:VEVENT
BEGIN:VEVENT
UID:35316566-6566-4262-b033-303965356538
DTSTAMP:20240418T115559Z
CREATED:20240112T152502Z
DESCRIPTION:Topic: TBA
DTSTART:20240607T131500Z
DTEND:20240607T144500Z
LAST-MODIFIED:20240112T152501Z
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-152
END:VEVENT
BEGIN:VEVENT
UID:31313734-3562-4862-b862-643331353034
DTSTAMP:20240418T115559Z
CREATED:20240112T152524Z
DESCRIPTION:Topic: TBA
DTSTART:20240614T131500Z
DTEND:20240614T144500Z
LAST-MODIFIED:20240112T152523Z
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-153
END:VEVENT
BEGIN:VEVENT
UID:61396230-6232-4633-b737-663031306563
DTSTAMP:20240418T115559Z
CREATED:20240112T152624Z
DESCRIPTION:Topic: TBA
DTSTART:20240621T131500Z
DTEND:20240621T144500Z
LAST-MODIFIED:20240112T152623Z
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-154
END:VEVENT
BEGIN:VEVENT
UID:64326162-3864-4235-b139-666632663564
DTSTAMP:20240418T115559Z
CREATED:20240112T152556Z
DESCRIPTION:Topic: TBA
DTSTART:20240621T131500Z
DTEND:20240621T144500Z
LAST-MODIFIED:20240112T152848Z
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-157
END:VEVENT
BEGIN:VEVENT
UID:31336265-3930-4031-a664-646631613231
DTSTAMP:20240418T115559Z
CREATED:20231026T183522Z
DESCRIPTION:_SPONSORED BY THE MINERVA RESEARCH FOUNDATION_\n\nCOLLABORATIVE
WORKSHOP TO SUPPORT WOMEN AND GENDER-EXPANSIVE\nINDIVIDUALS IN ALGEBRAIC
GEOMETRY THAT WILL BE HELD AT THE INSTITUTE\nFOR ADVANCED STUDY IN PRINCET
ON\, NJ THE WEEK OF JUNE 24-28\, 2024. \n\nTHE PURPOSE OF THE WORKSHOP IS
TO FACILITATE SIGNIFICANT RESEARCH IN\nALGEBRAIC GEOMETRY AND TO STRENGTHE
N THE COMMUNITY OF WOMEN AND\nGENDER-EXPANSIVE INDIVIDUALS IN THE FIELD. P
ARTICIPANTS WILL JOIN\nPROJECT GROUPS COMPOSED OF A LEADER AND CO-LEADER T
OGETHER WITH TWO TO\nTHREE JUNIOR PARTICIPANTS AND WILL SPEND THE WORKSHOP
ENGAGED IN\nFOCUSED AND SUBSTANTIVE RESEARCH. \n\nMORE INFORMATION\, INCL
UDING PROJECT DESCRIPTIONS\, FUNDING DETAILS\, AND\nA LINK TO THE APPLICAT
ION FORM\, IS AVAILABLE ON THE\nWEBSITE: HTTPS://SITES.GOOGLE.COM/VIEW/WIA
G2024/HOME?AUTHUSER=0\n[https://sites.google.com/view/wiag2024/home?authus
er=0]. \n\nAPPLICATIONS TO PARTICIPATE IN THE WORKSHOP ARE DUE DECEMBER 15
TH. \nPLEASE EMAIL THE ORGANIZERS WITH QUESTIONS: WIAG2ATIAS@GMAIL.COM\n[h
ttp://gmail.com/].
DTSTART:20240624T130000Z
DTEND:20240628T160000Z
LAST-MODIFIED:20240320T174037Z
LOCATION:Simonyi Hall 101
SUMMARY:Collaborative Workshop in Algebraic Geometry
URL:https://www.ias.edu/math/events/collaborative-workshop-algebraic-geomet
ry
END:VEVENT
BEGIN:VEVENT
UID:62663235-6264-4232-b862-326539373736
DTSTAMP:20240418T115559Z
CREATED:20240112T152657Z
DESCRIPTION:Topic: TBA
DTSTART:20240628T131500Z
DTEND:20240628T144500Z
LAST-MODIFIED:20240112T152656Z
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-155
END:VEVENT
BEGIN:VEVENT
UID:64303466-3261-4535-b233-323533613432
DTSTAMP:20240418T115559Z
CREATED:20231205T181130Z
DESCRIPTION:_Sponsored by Dr. John P. Hempel _\n\nOrganizers: Matt Baker\,
Chris Eur\, June Huh\, Oliver Lorscheid\, and\nFelipe Rincon\n\nThis event
aims to bring together leading researchers in different\nareas of combina
torial geometry. This workshop is a part of the\nspecial year Algebraic an
d Geometric Combinatorics.
DTSTART:20241021T140000Z
DTEND:20241025T161500Z
LAST-MODIFIED:20231206T132115Z
LOCATION:Simonyi Hall 101
SUMMARY:Geometry of Matroids Workshop
URL:https://www.ias.edu/math/events/geometry-matroids-workshop
END:VEVENT
BEGIN:VEVENT
UID:30663362-3562-4330-a535-633463373261
DTSTAMP:20240418T115559Z
CREATED:20231205T182810Z
DESCRIPTION:Organizers: Nima Arkani-Hamed\, June Huh\, Thomas Lam\, and Ber
nd\nSturmfels\n\nThis event aims to foster collaboration between mathemati
cians and\nphysicists. The focus will be on the intersection of combinator
ial\ngeometry and fundamental physics\, covering topics like scattering an
d\nstring amplitudes\, positive geometry\, Euler integrals\, and tropical
\nmoduli spaces. This workshop is a part of the special year Algebraic\nan
d Geometric Combinatorics.\n\nFor additional information\, please click he
re\n[https://www.ias.edu/mathematical-physics/combinatorics-fundamental-ph
ysics-workshop].
DTSTART:20241118T150000Z
DTEND:20241122T171500Z
LAST-MODIFIED:20240408T202147Z
LOCATION:
SUMMARY:Combinatorics of Fundamental Physics Workshop
URL:https://www.ias.edu/mathematical-physics/events/combinatorics-fundament
al-physics-workshop
END:VEVENT
BEGIN:VEVENT
UID:62653833-3535-4535-b833-616132333331
DTSTAMP:20240418T115559Z
CREATED:20231213T200806Z
DESCRIPTION:Combinatorics of Enumerative Geometry\n\nOrganizers: Paolo Aluf
fi\, Dave Anderson\, June Huh\, and Leonardo\nMihalcea\n\n \n\nThis worksh
op is dedicated to the exploration of the combinatorial\ndimensions of int
ersection theory and enumerative geometry\, broadly\ninterpreted. Topics i
nclude characteristic classes of matroids and\nSchubert varieties\, classi
cal and quantum intersection rings of flag\nmanifolds\, and applications o
f tropical geometry. This workshop is a\npart of the special year Algebrai
c and Geometric Combinatorics.\n\n \n\n \n\nMORE DETAILS TO COME.
DTSTART:20250203T150000Z
DTEND:20250207T180000Z
LAST-MODIFIED:20231214T144829Z
LOCATION:Simonyi Hall 101
SUMMARY:Workshop on Combinatorics of Enumerative Geometry
URL:https://www.ias.edu/math/events/workshop-combinatorics-enumerative-geom
etry
END:VEVENT
END:VCALENDAR