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CALSCALE:GREGORIAN
UID:31313137-3363-4130-b066-356334396533
X-WR-TIMEZONE:UTC
X-WR-CALNAME:IAS Seminar
BEGIN:VEVENT
UID:35666537-6533-4539-b065-616163613730
DTSTAMP:20230530T042550Z
CREATED:20221114T203355Z
DESCRIPTION:Topic: Fourier Interpolation and the Weil Representation\n\nSpe
akers: Mathilde Gerbelli-Gauthier\n\nAffiliation: McGill University\n\nIn
2017\, Radchenko-Viazovska proved a remarkable interpolation result\nfor e
ven Schwartz functions on the real line: such a function is\nentirely dete
rmined by its values and those of its Fourier transform\nat square roots o
f integers. We give a new proof of this result\,\nexploiting the fact that
Schwartz functions are the underlying vector\nspace of the Weil represent
ation W�. This allows us to deduce the\ninterpolation result from the comp
utation of the cohomology of a\ncertain congruence subgroup of SL2(Z)2(�)
with values\nin W�. This is joint work in progress with Akshay Venkatesh.
DTSTART:20230302T213000Z
DTEND:20230302T223000Z
LAST-MODIFIED:20230303T202447Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:30346564-6134-4264-a166-633462363531
DTSTAMP:20230530T042550Z
CREATED:20221114T181655Z
DESCRIPTION:Topic: Existence of Quasigeodesic Anosov Flows in Hyperbolic 3
-Manifolds\n\nSpeakers: Sergio Fenley\n\nAffiliation: Florida State Univer
sity\; Member\, School of Mathematics\n\nA quasigeodesic in a manifold is
a curve so that when lifted to the\nuniversal cover is uniformly efficient
up to a bounded multiplicative\nand added error in measuring length. A fl
ow is quasigeodesic if all\nflow lines are quasigeodesics. We prove that a
n Anosov flow in a\nclosed hyperbolic manifold is quasigeodesic if and onl
y if it is not\nR-covered. Here R-covered means that the stable 2-dim foli
ation of the\nflow\, lifts to a foliation in the universal cover whose lea
f space is\nhomeomorphic to the real numbers. There are many examples of\n
quasigeodesic Anosov flows in closed hyperbolic 3-manifolds. There are\nco
nsequences for the continuous extension property of Anosov\nfoliations\, a
nd the existence of group invariant Peano curves\nassociated with Anosov f
lows.
DTSTART:20230306T190000Z
DTEND:20230306T200000Z
LAST-MODIFIED:20230309T151340Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-46
END:VEVENT
BEGIN:VEVENT
UID:39623063-3331-4337-b035-356131303264
DTSTAMP:20230530T042550Z
CREATED:20221206T175337Z
DESCRIPTION:Topic: p-adic analogue of Borel's theorem\n\nSpeakers: Ananth S
hankar\n\nAffiliation: University of Wisconsin-Madison - MSRI\n\nBorel pro
ved that any holomorphic map from an affine complex algebraic\ncurve to a
Shimura variety (with sufficient level structure) must be\nalgebraic. We w
ill discuss a p-adic analogue of this theorem. This is\njoint work with Ab
hishek Oswal and Xinwen Zhu\, with an appendix by\nAnand Patel
DTSTART:20230306T213000Z
DTEND:20230306T223000Z
LAST-MODIFIED:20230227T151813Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-1
END:VEVENT
BEGIN:VEVENT
UID:38353564-6130-4034-a163-643563313865
DTSTAMP:20230530T042550Z
CREATED:20230202T191911Z
DESCRIPTION:
DTSTART:20230307T200000Z
DTEND:20230307T220000Z
LAST-MODIFIED:20230309T151512Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-0
END:VEVENT
BEGIN:VEVENT
UID:62646461-6262-4265-a639-376235313633
DTSTAMP:20230530T042550Z
CREATED:20221116T192846Z
DESCRIPTION:Topic: The adjoint Brascamp-Lieb inequality\n\nSpeakers: Terenc
e Tao\n\nAffiliation: University of California\, Los Angeles\n\nThe Brasca
mp-Lieb inequality is a fundamental inequality in analysis\,\ngeneralizing
more classical inequalities such as Holder's inequality\,\nthe Loomis-Whi
tney inequality\, and Young's convolution inequality: it\ncontrols the siz
e of a product of pullbacks of low-dimensional\nfunctions to a common high
-dimensional space by the size of the\nindividual functions. One can take
an 'adjoint' of this inequality\,\nand control the size of a high-dimensio
nal function by the size of\nvarious marginals. This adjoint is equivalent
to an entropy inequality\nof Carlen and Cordero-Erasquin\, and implies a
Holder inequality for\nthe Gowers uniformity norms of non-negative functio
ns that had only\npreviously been known in special cases. The best constan
t for this\nadjoint inequality however differs slightly from that of the o
riginal\nBrascamp-Lieb inequality. These results arise from joint work in
\nprogress with Jonathan Bennett.
DTSTART:20230308T200000Z
DTEND:20230308T210000Z
LAST-MODIFIED:20230411T144218Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-6
END:VEVENT
BEGIN:VEVENT
UID:65643735-6438-4132-b133-393235386165
DTSTAMP:20230530T042550Z
CREATED:20221114T204117Z
DESCRIPTION:Topic: Structure and Randomness in the Pro-Nilpotent Tower of N
umber Fields\n\nSpeakers: Carlo Pagano\n\nAffiliation: Concordia Universit
y\n\n_I will talk about a program aimed at exploiting randomness of certai
n\n'graphs of symbols' in determining the precise structure of the\npro-ni
lpotent Galois groups of number fields\, and how this has been\nsuccessful
ly implemented in nilpotency class 2. I will overview how\nsome recent pro
gresses in arithmetic statistics informs us of the\ndifficulties in extend
ing this\, starting from nilpotency class 4\nonward. Finally\, I will expl
ain the strong ties that this problem\nhas with two variants of the inver
se Galois problem\, namely the\nminimal ramification problem and Malle's c
onjecture: I will present\nsome recent progress on the latter in the nilpo
tent case. This is\nbased on joint works with Peter Koymans._
DTSTART:20230309T213000Z
DTEND:20230309T223000Z
LAST-MODIFIED:20230314T121506Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:34653137-3261-4865-b833-343636323631
DTSTAMP:20230530T042550Z
CREATED:20221116T194437Z
DESCRIPTION:Topic: Conformal blocks of Liouville conformal field theory \n
\nSpeakers: Colin Guillarmou\, Rémi Rhodes\n\nAffiliation: Université d'Or
say\; Institut de Mathématiques de Marseille\n\nLiouville conformal field
theory is a CFT with central charge c>25 and\ncontinuous spectrum\, its co
rrelation functions on Riemann surfaces\nwith marked points can be express
ed using the bootstrap method in\nterms of conformal blocks. We will expla
in how the conformal blocks\nappear from the probabilistic construction\,
and their link with the\nWard identity\, using certain Markovian semigroup
s.
DTSTART:20230310T151500Z
DTEND:20230310T171500Z
LAST-MODIFIED:20230411T144319Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:61636237-3866-4465-b362-666665383131
DTSTAMP:20230530T042550Z
CREATED:20221014T133456Z
DESCRIPTION:Topic: TBD
DTSTART:20230310T180000Z
DTEND:20230310T203000Z
LAST-MODIFIED:20230411T191416Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-10
END:VEVENT
BEGIN:VEVENT
UID:34363432-6431-4664-b631-616431343934
DTSTAMP:20230530T042550Z
CREATED:20221114T181830Z
DESCRIPTION:Topic: Almost all Collatz Orbits Attain Almost Bounded Values\n
\nSpeakers: Terence Tao\n\nAffiliation: University of California\, Los Ang
eles\; Member\, School of Mathematics\n\nDefine the Collatz map Col on the
natural numbers by setting Col(n) to\nequal 3n+1 when n is odd and n/2 wh
en n is even. The notorious Collatz\nconjecture asserts that all orbits of
this map eventually attain the\nvalue 1. This remains open\, even if one
is willing to work with almost\nall orbits rather than all orbits. We show
that almost all orbits n\,\nCol(n)\, Col^2(n)\, ... eventually attain a v
alue less than f(n)\, for\nany function f that goes to infinity (no matter
how slowly). A key\nstep is to obtain an approximately invariant (or more
precisely\,\nself-similar) measure for the (accelerated) Collatz dynamics
.
DTSTART:20230313T180000Z
DTEND:20230313T190000Z
LAST-MODIFIED:20230314T121357Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-47
END:VEVENT
BEGIN:VEVENT
UID:35666638-3830-4562-a335-333236313565
DTSTAMP:20230530T042550Z
CREATED:20221116T182140Z
DESCRIPTION:Topic: The Riemann-Hilbert Correspondence in Nonarchimedean Geo
metry\n\nSpeakers: Jacob Lurie\n\nAffiliation: School of Mathematics\n\nLe
t X be a smooth projective variety over the field of complex\nnumbers. The
classical Riemann-Hilbert correspondence supplies a fully\nfaithful embed
ding from the category of perverse sheaves on X to the\ncategory of algebr
aic D_X-modules. In this talk\, I'll describe joint\nwork with Bhargav Bha
tt on an analogous construction in the setting of\nnon-archimedean geometr
y.
DTSTART:20230313T203000Z
DTEND:20230313T213000Z
LAST-MODIFIED:20230411T191458Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/iasprinceton-arithmetic-geometry-semina
r-1
END:VEVENT
BEGIN:VEVENT
UID:61626164-3862-4635-a433-666432303538
DTSTAMP:20230530T042550Z
CREATED:20221116T193159Z
DESCRIPTION:Topic: TBD
DTSTART:20230315T190000Z
DTEND:20230315T200000Z
LAST-MODIFIED:20230411T153123Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-9
END:VEVENT
BEGIN:VEVENT
UID:33316339-3438-4764-a466-346364326437
DTSTAMP:20230530T042550Z
CREATED:20230310T160818Z
DESCRIPTION:Topic: Bisectors in random plane geometry\n\nSpeakers: Bálint V
irág\n\nAffiliation: University of Toronto\n\nIn Euclidean geometry\, bise
ctors are perpendicular lines. In random\nplane geometry\, the situation i
s more complicated. I will describe\nbisectors in the directed landscape\,
the universal geometry in the KPZ\nclass. These help answer some open que
stions in particle systems.
DTSTART:20230317T141500Z
DTEND:20230318T031500Z
LAST-MODIFIED:20230411T153217Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-27
END:VEVENT
BEGIN:VEVENT
UID:31636536-3563-4934-b135-313665343331
DTSTAMP:20230530T042550Z
CREATED:20221116T194516Z
DESCRIPTION:Topic: The Fyodorov-Hiary-Keating conjecture\n\nSpeakers: Paul
Bourgade\n\nAffiliation: New York University\n\nThrough the random matrix
analogy\, Fyodorov\, Hiary and Keating\nconjectured very precisely the typ
ical values of the Riemann zeta\nfunction in short intervals of the critic
al line\, in particular their\nmaximum. Their prediction relied on techniq
ues from statistical\nmechanics such as the freezing scenario. Recent rigo
rous progress has\nexploited underlying branching structures instead\, bot
h for random\ncharacteristic polynomials and L-functions. I will explain t
hese\ndevelopments\, in particular joint work with Arguin and Radziwill.
DTSTART:20230317T151500Z
DTEND:20230317T161500Z
LAST-MODIFIED:20230411T153256Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:61366136-3334-4131-b634-336233383837
DTSTAMP:20230530T042550Z
CREATED:20221014T133527Z
DESCRIPTION:Topic: TBD
DTSTART:20230317T170000Z
DTEND:20230317T193000Z
LAST-MODIFIED:20230411T191547Z
LOCATION:West Bldg. Lecture Hall
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-9
END:VEVENT
BEGIN:VEVENT
UID:64666332-3365-4335-a363-653133333134
DTSTAMP:20230530T042550Z
CREATED:20221114T181914Z
DESCRIPTION:Topic: Recent Results on Finite Group Lattice Gauge Theories\n
\nSpeakers: Sky Yang Cao\n\nAffiliation: Member\, School of Mathematics\n
\nThe rigorous study of spin systems such as the Ising model is\ncurrently
one of the most active research areas in probability theory.\nIn this tal
k\, I will introduce one particular class of such models\,\nknown as latti
ce gauge theories (LGTs)\, and go over its origins\,\nmotivations\, and th
en some recent results. Along the way\, I will also\ntry to highlight some
of the key differences between LGTs and the\nusual spin systems. The gene
ral theme is that LGTs are spin systems\nwith topological considerations.
DTSTART:20230320T180000Z
DTEND:20230320T190000Z
LAST-MODIFIED:20230324T142428Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-48
END:VEVENT
BEGIN:VEVENT
UID:64356235-3538-4232-b262-373831643065
DTSTAMP:20230530T042550Z
CREATED:20221206T175429Z
DESCRIPTION:Speakers: Yunqing Tang\n\nAffiliation: University of California
\, Berkeley
DTSTART:20230320T203000Z
DTEND:20230320T213000Z
LAST-MODIFIED:20230215T183824Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-2
END:VEVENT
BEGIN:VEVENT
UID:64343139-6436-4665-b733-616232306433
DTSTAMP:20230530T042550Z
CREATED:20230202T192049Z
DESCRIPTION:
DTSTART:20230321T190000Z
DTEND:20230321T210000Z
LAST-MODIFIED:20230504T131202Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-2
END:VEVENT
BEGIN:VEVENT
UID:30626236-6133-4832-b932-643235653065
DTSTAMP:20230530T042550Z
CREATED:20221116T193225Z
DESCRIPTION:Topic: Diffusion and Mixing for Two-dimensional Hamiltonian Flo
ws\n\nSpeakers: Michele Coti-Zelati\n\nAffiliation: Imperial College Londo
n\n\nWe consider general two-dimensional autonomous velocity fields and\np
rove that their mixing and dissipation features are limited to\nalgebraic
rates. As an application\, we consider a standard cellular\nflow on a peri
odic box\, and explore potential consequences for the\nlong-time dynamics
in the two-dimensional Euler equations.
DTSTART:20230322T190000Z
DTEND:20230322T200000Z
LAST-MODIFIED:20230411T153410Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-5
END:VEVENT
BEGIN:VEVENT
UID:61323637-6534-4837-b962-373361356433
DTSTAMP:20230530T042550Z
CREATED:20221114T204206Z
DESCRIPTION:Topic: The Nonvanishing of Selmer Groups for Certain Symplectic
Galois Representations\n\nSpeakers: Samuel Mundy\n\nAffiliation: Princeto
n University\n\nGiven an automorphic representation \pi of SO(n\,n+1) with
certain nice\nproperties at infinity\, one can nowadays attach to \pi a p
-adic Galois\nrepresentation R of dimension 2n. The Bloch--Kato conjecture
s then\npredict in particular that if the L-function of R vanishes at its
\ncentral value\, then the Selmer group attached to a particular twist of
\nR is nontrivial.\n\nI will explain work in progress proving the nonvanis
hing of these\nSelmer groups for such representations R\, assuming the L-f
unction of R\nvanishes to odd order at its central value\, under some hypo
theses on\n\pi at the prime p. The proof constructs a nontrivial Selmer cl
ass\nusing p-adic deformations of Eisenstein series attached to \pi\, and
I\nwill highlight the key new input coming from local representation\ntheo
ry which allows us to check the Selmer conditions for this class\nat prime
s for which \pi is ramified.
DTSTART:20230323T203000Z
DTEND:20230323T213000Z
LAST-MODIFIED:20230324T142321Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-20
END:VEVENT
BEGIN:VEVENT
UID:33373934-3235-4334-a636-656235376437
DTSTAMP:20230530T042550Z
CREATED:20221116T194540Z
DESCRIPTION:Topic: Topic #1 (Aru): A few recent stories about the Gaussian
free field\; Topic #2 (Ding): Long range order for three-dimensional rando
m field Ising model\n\nSpeakers: Juhan Aru\, Jian Ding\n\nAffiliation: Éco
le Polytechnique Fédérale de Lausanne\; Peking University\n\nAru Abstract:
In the first story we wonder about the ubiquity of the\nfree field and lo
ok at a few characterisation theorems. In the second\nstory we discuss the
mutually benefiting relationship between the\ndiscrete free field and the
O(N) spin model. Finally\, in a third story\nwe see how twisted/orbifold
free fields\, CLE_4 and Brownian loop soup\ncome together to help describe
correlation functions of the\nAshkin-Teller model.\n\nDing Abstract: Cons
ider the Ising model in three and higher dimensions\nwith i.i.d. mean-zero
Gaussian external field. A classic result of\nImbrie (1985) and Bricmont-
Kupiainen (1988) proved that at very low\ntemperature long range order exi
sts as long as the variance of the\nexternal field is small enough. In thi
s talk\, I will present a couple\nof recent results: (1) A new and simple
proof (with Zijie Zhuang) for\nthe result of Imbrie and Bricmont-Kupiainen
. The proof combines an\nextension of the Peierls argument with an ingredi
ent from Chalker\n(1983) and Fisher-Fröhlich-Spencer (1984). (2) A result
(with Yu Liu\nand Aoteng Xia) that takes (1) as a starting point and exten
ds it to\nthe entire low temperature regime. In addition\, I will mention
a new\ncorrelation inequality (with Jian Song and Rongfeng Sun) for the Is
ing\nmodel which implies exponential decay in the entire high temperature
\nregime.
DTSTART:20230324T141500Z
DTEND:20230324T161500Z
LAST-MODIFIED:20230411T153449Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:63613437-6563-4261-a533-313531303334
DTSTAMP:20230530T042550Z
CREATED:20220712T181242Z
DESCRIPTION:Topic: Connes Embedding Problem\, Kirchberg's Conjecture and Ts
irelson's Problem\n\nSpeakers: Thomas Vidick\n\nAffiliation: California In
stitute of Technology\n\nThe three problems referred to in the title origi
nate in the theory of\nvon Neumann algebras\, C* algebras\, and quantum in
formation theory\nrespectively. Each of them has been a deep long-standing
open problem\nin its respective area. Surprisingly\, the three problems a
re\nequivalent.\n\nRecently we gave a negative answer to all three problem
s by taking an\nunexpected path -- through complexity theory.\n\nThe goal
of these three lectures is to give a flavor of the resolution\nof these th
ree problems\, for a mathematical audience. In the first\nlecture I will i
ntroduce the problems described in the title and\nexplain their equivalenc
e. I will then formulate the approach\, which\ngoes through the careful de
sign of families of linear functionals\nacting on 'quantum correlation spa
ces' and derived from the theory of\nnonlocal games in quantum information
theory.
DTSTART:20230327T151500Z
DTEND:20230327T161500Z
LAST-MODIFIED:20230403T152425Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-103
END:VEVENT
BEGIN:VEVENT
UID:30306236-6433-4238-b965-313731303332
DTSTAMP:20230530T042550Z
CREATED:20230202T192139Z
DESCRIPTION:
DTSTART:20230328T190000Z
DTEND:20230328T210000Z
LAST-MODIFIED:20230504T131107Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-3
END:VEVENT
BEGIN:VEVENT
UID:61653235-3566-4934-b962-373133383966
DTSTAMP:20230530T042550Z
CREATED:20221115T194439Z
DESCRIPTION:Topic: From Nonlocal Games to Undecidability\n\nSpeakers: Thoma
s Vidick\n\nAffiliation: California Institute of Technology\n\nIn this lec
ture I will present basic elements of the theory of\nnonlocal games from q
uantum information theory and give some examples.\nI will then introduce t
he idea of 'compressing' the complexity of\nnonlocal games\, and show how
the right form of compression leads to\nundecidability of a natural optimi
zation problem associated with the\ngames. Using the results from the firs
t lecture\, the undecidability\nresult will imply a negative answer to Tsi
relson's problem and its\nequivalent problems in operator algebras.
DTSTART:20230329T150000Z
DTEND:20230329T160000Z
LAST-MODIFIED:20230403T152346Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-104
END:VEVENT
BEGIN:VEVENT
UID:34356532-6263-4063-b432-366238383065
DTSTAMP:20230530T042550Z
CREATED:20221114T203524Z
DESCRIPTION:Topic: Integrality of Theta Liftings to a Definite U(2)\n\nSpea
kers: Yu-Sheng Lee\n\nAffiliation: Columbia University\n\nWe discuss the i
ntegrality of theta liftings of anti-cyclotomic\ncharacters to a definite
unitary group of two variables. This will\nallow us to construct a Hida fa
mily of the theta liftings and relate\nthe congruence module of which to a
n anti-cyclotomic p-adic\nL-function. The result is an input to a construc
tion of Euler systems\nfollowing Urban's approach.
DTSTART:20230330T203000Z
DTEND:20230330T213000Z
LAST-MODIFIED:20230403T145240Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:38656439-3165-4036-b363-346266303761
DTSTAMP:20230530T042550Z
CREATED:20221115T194532Z
DESCRIPTION:Topic: Efficient Stability for the Weyl-Heisenberg Group\n\nSpe
akers: Thomas Vidick\n\nAffiliation: California Institute of Technology\n
\nThe question of stability of approximate group homomorphisms was first\n
formulated by Ulam in the 1940s. One of the most famous results in\nthis a
rea is Kazhdan's 1982 result on stability of approximate unitary\nrepresen
tations of an amenable group\, when approximation is measured\nusing the o
perator norm. More recently\, motivated in part by the study\nof group sof
icity and hyperlinearity\, the study of stability has been\npursued for an
increasing variety of notions of approximation.\n\nOne of the key technic
al ingredients in the resolution of Tsirelson's\nproblem is a notion of 'e
fficient' approximate stability\, and its\ndemonstration for a specific fa
mily of finite non-abelian groups\, the\nWeyl-Heisenberg groups. In this (
mostly self-contained) lecture I will\nformulate the efficient stability r
esult\, give some proof ideas\, and\nexplain its use for the compression p
rocedure introduced in the second\nlecture.
DTSTART:20230331T150000Z
DTEND:20230331T160000Z
LAST-MODIFIED:20230403T152303Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Marston Morse Lectures
URL:https://www.ias.edu/math/events/marston-morse-lectures-105
END:VEVENT
BEGIN:VEVENT
UID:37373064-3137-4432-b632-333566386163
DTSTAMP:20230530T042550Z
CREATED:20230123T163624Z
DESCRIPTION:Topic: Fractal properties\, noise-sensitivity and chaos in mode
ls of random geometry.\n\nSpeakers: Shirshendu Ganguly\n\nPlanar last pass
age percolation models are canonical examples of\nstochastic growth\, poly
mers and random geometry in the\nKardar-Parisi-Zhang universality class\,
where one considers oriented\npaths between points in a random environment
accruing the integral of\nthe noise along itself as its weight. Given the
endpoints\, the\nextremal path with the maximum weight is termed as the g
eodesic. \n\nThese models can also be viewed as examples of disordered sy
stems\nadmitting complex energy landscapes. In this formulation\, the geod
esic\nis the ground state\, the configuration with lowest energy\, lying a
t\nthe base of the deepest valley.\n\n In this talk we will review various
recent results about such models\nrelated to fractal geometry\, noise-sen
sitivity and chaos.
DTSTART:20230331T151500Z
DTEND:20230331T161500Z
LAST-MODIFIED:20230411T153858Z
LOCATION:West Lecture Hall and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:37653838-3337-4138-a339-303362343734
DTSTAMP:20230530T042550Z
CREATED:20221014T133630Z
DESCRIPTION:Topic: TBD
DTSTART:20230331T170000Z
DTEND:20230331T193000Z
LAST-MODIFIED:20230411T154102Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-11
END:VEVENT
BEGIN:VEVENT
UID:65376437-6464-4739-b033-393434636362
DTSTAMP:20230530T042550Z
CREATED:20221114T182144Z
DESCRIPTION:Topic: Simple Zeros of Modular Form L-Functions\n\nSpeakers: Al
exandre de Faveri\n\nAffiliation: Member\, School of Mathematics\n\nZeros
of L-functions have been extensively studied\, due to their close\nconnect
ion to arithmetic problems. Despite several precise conjectures\nabout the
ir behavior\, our unconditional understanding of them remains\nlimited. In
this talk we will discuss certain intrinsic properties of\nsuch zeros\, f
ocusing on what is known (in degrees one and two) about\ntheir accumulatio
n on the central line and their multiplicity. Here\nthe tools of analytic
number theory can give quantitative advances\,\nand we will show how to de
duce that there are many zeros of\nmultiplicity one for the L-function ass
ociated to a modular form.
DTSTART:20230403T180000Z
DTEND:20230403T190000Z
LAST-MODIFIED:20230421T171656Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-50
END:VEVENT
BEGIN:VEVENT
UID:61666332-3936-4437-a432-333234316562
DTSTAMP:20230530T042550Z
CREATED:20221206T175517Z
DESCRIPTION:Topic: Functions on the Commuting Scheme Via Langlands Duality
\n\nSpeakers: Zhiwei Yun\n\nAffiliation: Massachusetts Institute of Techno
logy\n\nI will explain how ideas from the (geometric) Langlands program he
lp\nsolve the following purely algebraic problem: describe the ring of\nco
njugation-invariant functions on the scheme of commuting pairs in a\ncompl
ex reductive group. The answer was known up to nilpotents\, and we\nshow t
hat this ring is indeed reduced. We also describe the ring of\ninvariant f
unctions on the derived version of the commuting scheme.\nThe proof brings
in seemingly unrelated objects such as the affine\nHecke category and cha
racter sheaves (of the Langlands dual group).\nThis is joint work with Pen
ghui Li and David Nadler.
DTSTART:20230403T200000Z
DTEND:20230403T213000Z
LAST-MODIFIED:20230420T173413Z
LOCATION:Princeton University\, Fine Hall 314
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-3
END:VEVENT
BEGIN:VEVENT
UID:30306361-3563-4135-b833-373834346636
DTSTAMP:20230530T042550Z
CREATED:20230202T192224Z
DESCRIPTION:
DTSTART:20230404T190000Z
DTEND:20230404T210000Z
LAST-MODIFIED:20230504T131010Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-4
END:VEVENT
BEGIN:VEVENT
UID:32616635-3261-4239-b930-393034316161
DTSTAMP:20230530T042550Z
CREATED:20221116T193331Z
DESCRIPTION:Topic: Scattering for nonlinear wave equations\n\nSpeakers: Han
s Lindblad\n\nAffiliation: Johns Hopkins University\; Member\, School of M
athematics\n\nWe construct solutions with prescribed radiation fields for
wave\nequations with polynomially decaying sources close to the lightcone.
\nIn this setting\, which is motivated by semi-linear wave equations\nsati
sfying the weak null condition\, solutions to the forward problem\nhave a
logarithmic leading order term on the lightcone and non-trivial\nhomogeneo
us asymptotics in the interior of the lightcone. The backward\nscattering
solutions we construct from knowledge of the source and the\nradiation fie
ld at null infinity alone are given to second order by\nexplicit asymptoti
c solutions which satisfy novel matching conditions\nclose to the light co
ne. This requires a delicate analysis close to\nthe light cone of the forw
ard solution with sources on the light cone.\nWe also relate the asymptoti
cs of the radiation field towards\nspace-like infinity to explicit homogen
eous solutions in the exterior\nof the light cone for slowly polynomially
decaying data corresponding\nto mass\, charge and angular momentum in the
applications. The somewhat\nsurprising discovery is that these data can ca
use the same logarithmic\nradiation field as the source term. This require
s a delicate analysis\nof the forward homogeneous solution close to the li
ght cone using the\ninvertibility of the Funk transform. This is joint wor
k with Volker\nSchlue.
DTSTART:20230405T190000Z
DTEND:20230405T200000Z
LAST-MODIFIED:20230517T125909Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-8
END:VEVENT
BEGIN:VEVENT
UID:30383834-6130-4736-b932-643037626534
DTSTAMP:20230530T042550Z
CREATED:20221114T204251Z
DESCRIPTION:Topic: Subconvexity for L-functions on U(n) x U(n+1)\n\nSpeaker
s: Simon Marshall\n\nAffiliation: University of Wisconsin-Madison\n\nWe pr
ove this bound by first using the unitary Ichino-Ikeda formula of\nN. Harr
is to relate the central L-value to an automorphic period\nintegral. Ther
e is a `trivial' bound for this integral\, which turns\nout to correspond
to the convexity bound for the L-value if the test\nvector is chosen corre
ctly. We are able to improve the bound for the\nperiod integral using a t
echnique called arithmetic amplification\,\nwhich uses the action of the H
ecke operators\, and this yields a\nsubconvex bound.
DTSTART:20230406T203000Z
DTEND:20230406T213000Z
LAST-MODIFIED:20230505T144339Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-21
END:VEVENT
BEGIN:VEVENT
UID:37333438-3063-4930-a335-626265663730
DTSTAMP:20230530T042550Z
CREATED:20221116T194632Z
DESCRIPTION:Topic: Topic #1 (Kavvadias): Conformal removability of non-simp
le Schramm-Loewner evolutions\; Topic #2 (Narayanan): Large deviations for
random hives and the spectrum of the sum of two random matrices.\n\nSpeak
ers: Hariharan Narayanan\, Konstantinos Kavvadias\n\nAffiliation: Tata Ins
titute of Fundamental Research\; Cambridge University\n\nTopic #1 (Kavvadi
as): We consider the Schramm-Loewner evolution\n(SLE_{kappa}) for kappa in
(4\,8)\, which is the regime that the curve\nis self-intersecting but not
space-filling. We let K be the set of\nkappa in (4\,8) for which the adja
cency graph of connected components\nof the complement of an SLE_{kappa} i
s almost surely connected\, in the\nsense that for every pair of complemen
tary components U\,V there exist\ncomplementary components U_1\,...\,U_n w
ith U_1 = U\, U_n = V\, and the\nboundaries of U_i and U_{i+1} intersect f
or each i between 1 and n-1.\nWe show that the range of an SLE_{kappa} for
kappa in K is almost\nsurely conformally removable\, which answers a ques
tion of Sheffield.\nAs a step in the proof\, we construct the canonical co
nformally\ncovariant volume measure on the cut points of an SLE_{kappa} fo
r kappa\nin (4\,8) and establish a precise upper bound on the measure that
it\nassigns to any Borel set in terms of its diameter. This is joint work
\nwith Jason Miller and Lukas Schoug.\n\nTopic #2 (Narayanan): \n\nHives\,
as defined by Knutson and Tao\, are discrete concave functions\non a tria
ngular grid on an equilateral triangle of side n. It is known\nthrough the
work of Knutson and Tao that the probability distribution\nof the spectru
m of the sum of two independent random matrices with\nunitarily invariant
distributions and given spectra can be expressed\nin terms of certain marg
inals of random hives.\n\n \n\nWe prove the existence of a surface tension
function sigma depending\non the Hessian\, for continuum limits of random
hives\, and prove a\nlarge deviation principle for the large n limit of r
andom hives in\nterms of sigma. Through the aforementioned connection\, we
also obtain\na large deviation principle for the spectrum of the sum of t
wo random\nmatrices with given spectra.\n\n \n\nThis is joint work with Sc
ott Sheffield.
DTSTART:20230407T141500Z
DTEND:20230407T161500Z
LAST-MODIFIED:20230502T130547Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-19
END:VEVENT
BEGIN:VEVENT
UID:64336530-6636-4938-b938-363032656366
DTSTAMP:20230530T042550Z
CREATED:20221014T133716Z
DESCRIPTION:Topic: TBD
DTSTART:20230407T170000Z
DTEND:20230407T193000Z
LAST-MODIFIED:20230502T130617Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-14
END:VEVENT
BEGIN:VEVENT
UID:63323630-6533-4463-a161-663230376361
DTSTAMP:20230530T042550Z
CREATED:20221114T182716Z
DESCRIPTION:Topic: Cohomology and arithmetic of some mapping spaces\n\nSpea
kers: Oishee Banerjee\n\nAffiliation: Member\, School of Mathematics\n\nHo
w do we describe the topology of the space of all nonconstant\nholomorphic
(respectively\, algebraic) maps F: X--->Y from one\ncomplex manifold (re
spectively\, variety) to another? What is\, for\nexample\, its cohomology?
Such problems are old but difficult\, and are\nnontrivial even when the d
omain and range are Riemann spheres. In this\ntalk I will explain how thes
e problems relate to other parts of\nmathematics such as spaces of polynom
ials\, arithmetic (e.g the\ngeometric Batyerv-Manin type conjectures)\, al
gebraic geometry (e.g.\nmoduli spaces of elliptic fibrations\, of smooth s
ections of a line\nbundle\, etc) and if time permits\, homotopy theory (e.
g. derived\nindecomposables of modules over monoids). I will show how one
can\nfruitfully attack such problems by incorporating techniques from\ntop
ology to the holomorphic/algebraic world (e.g. by constructing a\nnew spec
tral sequence).
DTSTART:20230410T180000Z
DTEND:20230410T190000Z
LAST-MODIFIED:20230421T171621Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-49
END:VEVENT
BEGIN:VEVENT
UID:30323030-3432-4565-a531-343235383433
DTSTAMP:20230530T042550Z
CREATED:20221116T182213Z
DESCRIPTION:Topic: Around Logarithmic Prismatic Chomology\n\nSpeakers: Teru
hisa Koshikawa\n\nAffiliation: Research Institute for Mathematical Science
s\n\nI will recall my approach to log prismatic cohomology and discuss som
e\nresults on them (partly joint with Zijian Yao). I will also try to\noff
er a stacky perspective.
DTSTART:20230410T203000Z
DTEND:20230410T220000Z
LAST-MODIFIED:20230502T130649Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/iasprinceton-arithmetic-geometry-semina
r-2
END:VEVENT
BEGIN:VEVENT
UID:32363664-3133-4034-b334-396665373565
DTSTAMP:20230530T042550Z
CREATED:20230202T192309Z
DESCRIPTION:
DTSTART:20230411T190000Z
DTEND:20230411T210000Z
LAST-MODIFIED:20230504T130910Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-5
END:VEVENT
BEGIN:VEVENT
UID:31616531-3535-4865-a266-383835313639
DTSTAMP:20230530T042550Z
CREATED:20221116T193358Z
DESCRIPTION:Topic: Generalized Entropy Methods and Stability in Sobolev and
Related Inequalities\n\nSpeakers: Jean Dolbeault\n\nAffiliation: Universi
té Paris Dauphine\n\nThis lecture is devoted to a survey on explicit stabi
lity results in\nGagliardo-Nirenberg-Sobolev and logarithmic Sobolev inequ
alities.\nGeneralized entropy methods based on carré du champ computations
and\nnonlinear diffusion flows can be used for proving inequalities in\ns
harp form. Under restrictions on the functions\, these methods also\nprovi
de remainder terms which control various distances to the set of\noptimal
functions. A result without restriction will also be presented\nfor some S
obolev and logarithmic Sobolev inequalities.
DTSTART:20230412T190000Z
DTEND:20230412T200000Z
LAST-MODIFIED:20230502T130720Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-1
END:VEVENT
BEGIN:VEVENT
UID:38373661-6632-4232-a136-393936373661
DTSTAMP:20230530T042550Z
CREATED:20221114T203610Z
DESCRIPTION:Topic: Arithmetic of critical p-adic L-functions\n\nSpeakers: K
azim Buyukboduk\n\nAffiliation: University College Dublin\n\nIn joint work
with Denis Benois\, we give an étale construction of\nBellaïche's p-adic
L-functions about θ-critical points on the\nColeman–Mazur eigencurve. I wi
ll discuss applications of this\nconstruction towards leading term formula
e in terms of p-adic\nregulators on what we call the thick Selmer groups\,
which come\nattached to the infinitesimal deformation at the said θ-criti
cal\npoint along the eigencurve\, and a Λ-adic L-invariant. Besides our\ni
nterpolation of the Beilinson–Kato elements about this point\, the\nkey in
put to prove the interpolative properties of this p-adic\nL-function is a
new p-adic Hodge-theoretic 'eigenspace-transition via\ndifferentiation' pr
inciple.\n\n \n\n
DTSTART:20230413T203000Z
DTEND:20230413T213000Z
LAST-MODIFIED:20230421T172246Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-17
END:VEVENT
BEGIN:VEVENT
UID:66323638-3330-4536-a437-343338343863
DTSTAMP:20230530T042550Z
CREATED:20221116T194656Z
DESCRIPTION:Topic: Topic #1 (Wang): Holography of the Loewner Energy\; Topi
c #2 (Hutchcroft): Critical Behaviour in Long-Range and Hierarchical Perco
lation\n\nSpeakers: Yilin Wang\; Tom Hutchcroft\n\nAffiliation: Institut d
es Hautes Études Scientifiques\; California Institute of Technology\n\nTop
ic #1 (Wang): The Loewner energy is a Möbius invariant quantity\nthat meas
ures the roundness of Jordan curves on the Riemann sphere. It\narises from
large deviation deviations of SLE0+ and is also a Kähler\npotential on th
e Weil-Petersson Teichmüller space. Motivated by\nAdS/CFT correspondence a
nd the fact that Möbius transformations\nextend to isometries of the hyper
bolic 3-space $H^3$\, we look for\nquantities defined geometrically in $H^
3$ which equal the Loewner\nenergy of a curve in the conformal boundary. W
e show that the Loewner\nenergy equals the renormalized volume of a subman
ifold of $H^3$\nconstructed using the Epstein surfaces associated to the h
yperbolic\nmetric on both sides of the curve. This is a work in progress w
ith\nMartin Bridgeman (Boston College)\, Ken Bromberg (Utah)\, and Franco
\nVargas-Pallete (Yale).\n\nTopic #2 (Hutchcroft): Statistical mechanics m
odels undergoing a\nphase transition often exhibit rich\, fractal-like beh
aviour at their\ncritical points\, which are described in part by critical
exponents\,\nthe indices governing the power-law growth or decay of vario
us\nquantities of interest. These exponents are expected to depend on the
\ndimension but not on the microscopic details of the model such as the\nc
hoice of lattice. After much progress over the last 30 years\, we now\nund
erstand two-dimensional and high-dimensional models rather well\,\nbut int
ermediate dimensions such as three remain mysterious. I will\ndiscuss thes
e issues in the context of long-range and hierarchical\npercolation\, and
in particular how we can now compute some critical\nexponents for the hier
archical model in all dimensions.
DTSTART:20230414T141500Z
DTEND:20230414T161500Z
LAST-MODIFIED:20230502T130747Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Probability Seminar
URL:https://www.ias.edu/math/events/probability-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:34663466-6139-4634-b333-616662633138
DTSTAMP:20230530T042550Z
CREATED:20221014T133752Z
DESCRIPTION:Topic: TBD
DTSTART:20230414T170000Z
DTEND:20230414T193000Z
LAST-MODIFIED:20230502T130816Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-15
END:VEVENT
BEGIN:VEVENT
UID:35636361-3531-4936-b836-353330366165
DTSTAMP:20230530T042550Z
CREATED:20221114T182829Z
DESCRIPTION:Topic: Classification of Smooth Actions by Higher Rank Lattices
in Critical Dimensions\n\nSpeakers: Zhiren Wang\n\nAffiliation: Pennsylva
nia State University\; von Neumann Fellow\, School of Mathematics\n\nThe Z
immer program asks how lattices in higher rank semisimple Lie\ngroups may
act smoothly on compact manifolds. Below a certain critical\ndimension\, t
he recent proof of the Zimmer conjecture by\nBrown-Fisher-Hurtado asserts
that\, for SL(n\,R) with n\geq 3 or other\nhigher rank R-split semisimple
Lie groups\, the action is trivial up to\na finite group action. In this t
alk\, we will explain what happens in\nthe critical dimension for higher r
ank R-split semisimple Lie groups.\nFor example\, non-trivial actions by l
attices in SL(n\,R)\, n\geq 3\, on\n(n-1)-dimensional manifolds are isomor
phic to the standard action on\nRP^{n-1} up to a finite quotient group and
a finite covering. This is\na joint work with Aaron Brown and Federico Ro
driguez Hertz.
DTSTART:20230417T180000Z
DTEND:20230417T190000Z
LAST-MODIFIED:20230421T171547Z
LOCATION:Simonyi Hall 101 and Remote Access - see Zoom link below
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-45
END:VEVENT
BEGIN:VEVENT
UID:62353135-3934-4337-b963-353036656330
DTSTAMP:20230530T042550Z
CREATED:20230202T192344Z
DESCRIPTION:
DTSTART:20230418T190000Z
DTEND:20230418T210000Z
LAST-MODIFIED:20230504T130743Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-6
END:VEVENT
BEGIN:VEVENT
UID:32653531-3334-4739-a563-323966663331
DTSTAMP:20230530T042550Z
CREATED:20230123T152816Z
DESCRIPTION:Topic: Root Number Correlation Bias of Fourier Coefficients of
Modular Forms\n\nSpeakers: Nina Zubrilina\n\nAffiliation: Princeton Univer
sity\n\nIn a recent machine learning based study\, He\, Lee\, Oliver\, and
\nPozdnyakov observed a striking oscillating pattern in the average\nvalue
of the P-th Frobenius trace of elliptic curves of prescribed\nrank and co
nductor in an interval range. Sutherland discovered that\nthis bias extend
s to Dirichlet coefficients of a much broader class of\narithmetic L-funct
ions when split by root number. \n\nIn my talk\, I will discuss this root
number correlation bias when the\naverage is taken over weight 2 modular n
ewforms of all Galois orbit\nsizes simultaneously. I will point to a sourc
e of this phenomenon in\nthis case and compute the correlation function ex
actly.
DTSTART:20230420T203000Z
DTEND:20230420T213000Z
LAST-MODIFIED:20230421T172155Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:38386466-6163-4636-a539-303635633864
DTSTAMP:20230530T042550Z
CREATED:20221014T133827Z
DESCRIPTION:Topic: TBD
DTSTART:20230421T170000Z
DTEND:20230421T193000Z
LAST-MODIFIED:20230502T131140Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-16
END:VEVENT
BEGIN:VEVENT
UID:31363864-3261-4139-b137-666630353137
DTSTAMP:20230530T042550Z
CREATED:20230202T192416Z
DESCRIPTION:
DTSTART:20230425T190000Z
DTEND:20230425T210000Z
LAST-MODIFIED:20230504T130656Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-1
END:VEVENT
BEGIN:VEVENT
UID:39663336-6365-4630-b437-633632303037
DTSTAMP:20230530T042550Z
CREATED:20221213T151335Z
DESCRIPTION:Topic: Global Stability of Kaluza-Klein Spacetimes\n\nSpeakers:
Zoe Wyatt\n\nAffiliation: King's College London\n\nSpacetimes formed from
the cartesian product of Minkowski space and a\nflat torus play an import
ant role as toy models for theories of\nsupergravity and string theory. In
this talk\, I will discuss an\nupcoming work\, joint with Huneau and Stin
go\, showing the nonlinear\nstability of such a Kaluza-Klein spacetime. I
will also explain how\nour result is connected to some earlier work of Wit
ten.
DTSTART:20230426T190000Z
DTEND:20230426T200000Z
LAST-MODIFIED:20230502T131220Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-7
END:VEVENT
BEGIN:VEVENT
UID:64313938-6661-4161-b139-316632306632
DTSTAMP:20230530T042550Z
CREATED:20230123T153653Z
DESCRIPTION:Topic: Hecke Orbits on Shimura Varieties of Hodge Type\n\nSpeak
ers: Pol van Hoften\n\nAffiliation: Stanford University\n\nOort conjecture
d in 1995 that isogeny classes in the moduli space A_g\nof principally pol
arised abelian varieties in characteristic p are\nZariski dense in the New
ton strata containing them. There is a\nstraightforward generalisation of
this conjecture to the special\nfibres of Shimura varieties of Hodge type\
, and in this talk\, I will\npresent a proof of this conjecture. I will m
ostly focus on the case\nof A_g since many of the new ideas can already be
explained in this\nspecial case. This is joint work with Marco D'Addezio.
DTSTART:20230427T203000Z
DTEND:20230427T213000Z
LAST-MODIFIED:20230504T125303Z
LOCATION:Remote Access - see Zoom link below
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-23
END:VEVENT
BEGIN:VEVENT
UID:64346366-3537-4532-a666-363566336637
DTSTAMP:20230530T042550Z
CREATED:20230202T193340Z
DESCRIPTION:
DTSTART:20230502T190000Z
DTEND:20230502T210000Z
LAST-MODIFIED:20230202T193436Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-8
END:VEVENT
BEGIN:VEVENT
UID:37656161-6562-4766-a466-353764623061
DTSTAMP:20230530T042550Z
CREATED:20221213T151511Z
DESCRIPTION:Topic: The Alt-Phillips Functional for Negative Powers\n\nSpeak
ers: Daniela De Silva\n\nAffiliation: Columbia University \n\nWe discuss a
one-phase degenerate free boundary problem which arises\nfrom the minimiz
ation of the so-called Alt-Phillips functional\n$$\int_\Omega (|\nabla u|^
2 + u^\gamma \chi_{\{u>0\}}) dx$$ for\n$\gamma \in (-2\,0).$ We establish
partial regularity results for the\nfree boundary and discuss the rigidity
of global minimizers when\n$\gamma$ approaches the endpoints of the inter
val of admissible\nvalues.
DTSTART:20230503T190000Z
DTEND:20230503T200000Z
LAST-MODIFIED:20230503T115416Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-10
END:VEVENT
BEGIN:VEVENT
UID:63356564-3236-4664-b436-616434396531
DTSTAMP:20230530T042550Z
CREATED:20230123T152918Z
DESCRIPTION:Topic: Restricted Arithmetic Quantum Unique Ergodicity\n\nSpeak
ers: Peter Humphries\n\nAffiliation: University of Virginia\n\nThe quantum
unique ergodicity conjecture of Rudnick and Sarnak\nconcerns the mass equ
idistribution in the large eigenvalue limit of\nLaplacian eigenfunctions o
n negatively curved manifolds. This\nconjecture has been resolved by Linde
nstrauss when this manifold is\nthe modular surface assuming these eigenfu
nctions are additionally\nHecke eigenfunctions\, namely Hecke-Maass cusp f
orms. I will discuss a\nvariant of this problem in this arithmetic setting
concerning the mass\nequidistribution of Hecke-Maass cusp forms on subman
ifolds of the\nmodular surface.
DTSTART:20230504T203000Z
DTEND:20230504T213000Z
LAST-MODIFIED:20230515T143909Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-24
END:VEVENT
BEGIN:VEVENT
UID:32393135-6363-4164-a438-303962363234
DTSTAMP:20230530T042550Z
CREATED:20230202T193449Z
DESCRIPTION:
DTSTART:20230509T190000Z
DTEND:20230509T210000Z
LAST-MODIFIED:20230202T193524Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-9
END:VEVENT
BEGIN:VEVENT
UID:32326164-6230-4330-b665-306566613565
DTSTAMP:20230530T042550Z
CREATED:20230123T153810Z
DESCRIPTION:Topic: Harris-Venkatesh Plus Stark\n\nSpeakers: Robin Zhang\n\n
Affiliation: Columbia University\n\nThe class number formula describes the
behavior of the Dedekind zeta\nfunction at s=0 and s=1. The Stark and Gro
ss conjectures extend the\nclass number formula\, describing the behavior
of Artin L-functions and\np-adic L-functions at s=0 and s=1 in terms of un
its and class numbers.\nThe Harris-Venkatesh conjecture describes the resi
due of Stark units\nmodulo p\, giving a modular analogue to the Stark and
Gross conjectures\nwhile also serving as the first verifiable part of the
broader\nPrasanna-Venkatesh conjectures. In this talk\, I will give a pict
ure\,\nformulate a unified conjecture combining Harris-Venkatesh and Stark
\nfor weight one modular forms\, and describe the proof of this in the\nim
aginary dihedral case.
DTSTART:20230511T203000Z
DTEND:20230511T213000Z
LAST-MODIFIED:20230515T143826Z
LOCATION:Princeton University\, Fine Hall 214
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-26
END:VEVENT
BEGIN:VEVENT
UID:32613664-6239-4434-a436-376437626239
DTSTAMP:20230530T042550Z
CREATED:20230425T143723Z
DESCRIPTION:Topic: TBD
DTSTART:20230512T170000Z
DTEND:20230512T193000Z
LAST-MODIFIED:20230425T143825Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-13
END:VEVENT
BEGIN:VEVENT
UID:39383265-3061-4934-b961-333130333761
DTSTAMP:20230530T042550Z
CREATED:20230202T193535Z
DESCRIPTION:
DTSTART:20230516T190000Z
DTEND:20230516T210000Z
LAST-MODIFIED:20230202T193557Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-10
END:VEVENT
BEGIN:VEVENT
UID:66356130-6630-4930-b534-393433653235
DTSTAMP:20230530T042550Z
CREATED:20221213T152011Z
DESCRIPTION:Topic: Resonances as a Computational Tool \n\nSpeakers: Kathar
ina Schratz\n\nAffiliation: Sorbonne Université\n\nA large toolbox of nume
rical schemes for dispersive equations has been\nestablished\, based on di
fferent discretization techniques such as\ndiscretizing the variation-of-c
onstants formula (e.g.\, exponential\nintegrators) or splitting the full e
quation into a series of simpler\nsubproblems (e.g.\, splitting methods).
In many situations\, these\nclassical schemes allow a precise and efficien
t approximation. This\,\nhowever\, drastically changes whenever non-smooth
phenomena enter the\nscene such as for problems at low regularity and hig
h oscillations.\nClassical schemes fail to capture the oscillatory nature
of the\nsolution\, and this may lead to severe instabilities and loss of\n
convergence. In this talk\, I present a new class of resonance based\nsche
mes. The key idea in the construction of the new schemes is to\ntackle and
deeply embed the underlying nonlinear structure of\nresonances into the n
umerical discretization. As in the continuous\ncase\, these terms are cent
ral to structure preservation and offer the\nnew schemes strong geometric
properties at low regularity.\n\nI will present the key idea behind resona
nces as a computational tool\,\ntheir high order counterpart (via tree ser
ies inspired by singular\nSPDEs)\, their error estimates in low regularity
spaces (via discrete\nBourgain spaces) and the fundamental yet widely ope
n question of\nresonance based schemes and structure preservation.
DTSTART:20230517T190000Z
DTEND:20230517T200000Z
LAST-MODIFIED:20230517T114454Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-11
END:VEVENT
BEGIN:VEVENT
UID:30316366-3566-4139-b561-346438623630
DTSTAMP:20230530T042550Z
CREATED:20230123T153416Z
DESCRIPTION:Topic: Symmetric Power Functoriality For Hilbert Modular Forms
\n\nSpeakers: Jack Thorne\n\nAffiliation: University of Cambridge\n\nSymme
tric power functoriality is one of the basic cases of Langlands'\nfunctori
ality conjectures and is the route to the proof of the\nSato-Tate conjectu
re (concerning the distribution of the\nmodulo p point counts of an ellipt
ic curve over Q\, as the\nprime p varies).\n\nI will discuss the proof of
the existence of the symmetric power\nliftings of Hilbert modular forms of
regular weight. The proof uses\nautomorphy lifting theorems\, automorphic
forms on unitary groups\, and\nthe geometry of Shimura varieties\, as wel
l as the fact that Spec Z is\nsimply connected.\n\nThis is joint work with
James Newton.
DTSTART:20230518T203000Z
DTEND:20230518T213000Z
LAST-MODIFIED:20230518T115438Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Joint IAS/PU Number Theory Seminar
URL:https://www.ias.edu/math/events/joint-iaspu-number-theory-seminar-25
END:VEVENT
BEGIN:VEVENT
UID:66663535-3736-4661-a532-343061303439
DTSTAMP:20230530T042550Z
CREATED:20230425T144108Z
DESCRIPTION:Topic: TBD
DTSTART:20230526T170000Z
DTEND:20230526T193000Z
LAST-MODIFIED:20230425T144121Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Milnor Conjecture Learning Seminar
URL:https://www.ias.edu/math/events/milnor-conjecture-learning-seminar-18
END:VEVENT
BEGIN:VEVENT
UID:33623265-6634-4833-b132-376336373634
DTSTAMP:20230530T042550Z
CREATED:20230517T143206Z
DESCRIPTION:
DTSTART:20230530T190000Z
DTEND:20230530T210000Z
LAST-MODIFIED:20230517T143328Z
LOCATION:Rubenstein Commons | Meeting Room 5
SUMMARY:Reading Seminar on Perelman's Stability Theorem
URL:https://www.ias.edu/math/events/reading-seminar-perelmans-stability-the
orem-7
END:VEVENT
BEGIN:VEVENT
UID:32333338-3836-4632-b461-613465393237
DTSTAMP:20230530T042550Z
CREATED:20230109T181422Z
DESCRIPTION:Topic: Connectedness of Solutions to a Problem of Optimal Displ
acement \n\nSpeakers: Darren King\n\nAffiliation: New York University\n\nW
e show that\, for $\lambda$ large enough\, minimizers with convex\ncompone
nts to the problem\n\[\n\min \big\{Per(E) + \lambda W_1(\mathcal L^n_{|E}\
, \mathcal L^n_{|F})\n\, : \, E\, F \subset \mathbb{R}^n\, |E\cap F|=0\,
\, |E|=1\, \, |F|=1\n\big\}\n\]\nwhere $W_1$ denotes the 1-Wasserstein dis
tance\, are connected.
DTSTART:20230531T190000Z
DTEND:20230531T200000Z
LAST-MODIFIED:20230526T174210Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-12
END:VEVENT
END:VCALENDAR