BEGIN:VCALENDAR
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CALSCALE:GREGORIAN
UID:34346266-6535-4336-a638-623136326535
X-WR-TIMEZONE:UTC
X-WR-CALNAME:IAS Seminar
BEGIN:VEVENT
UID:64383330-3133-4664-a566-383964643331
DTSTAMP:20240720T155407Z
CREATED:20240325T121727Z
DESCRIPTION:Topic: Algebraic K-Theory and P-Adic Arithmetic Geometry\n\nSpe
akers: Matthew Morrow\n\nTo any unital\, associative ring R one may associ
ate a family of\ninvariants known as its algebraic K-groups. Although they
are\nessentially constructed out of simple linear algebra data over the\n
ring\, they see an extraordinary range of information: depending on the\nr
ing\, its K-groups can be related to zeta functions\, corbordisms\,\nalgeb
raic cycles and the Hodge conjecture\, elliptic operators\,\nGrothendieck'
s theory of motives\, and so on.\n\nOur understanding of algebraic K-group
s\, at least as far as they\nappear in algebraic and arithmetic geometry\,
has rapidly improved in\nthe past few years. This talk will present some
of the fundamentals of\nthe subject and explain why K-groups are related t
o the ongoing\nspecial year in p-adic Arithmetic Geometry. The intended au
dience is\nnon-specialists
DTSTART:20240422T180000Z
DTEND:20240422T190000Z
LAST-MODIFIED:20240422T112851Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-66
END:VEVENT
BEGIN:VEVENT
UID:35623661-6164-4362-a366-363966376464
DTSTAMP:20240720T155407Z
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:30333034-6331-4833-b930-383634396136
DTSTAMP:20240720T155407Z
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:37343737-6466-4533-b061-383165373464
DTSTAMP:20240720T155407Z
CREATED:20240325T121751Z
DESCRIPTION:Topic: Triangulated Surfaces in Moduli Space\n\nSpeakers: Sahan
a Vasudevan\n\nTriangulated surfaces are Riemann surfaces formed by gluing
together\nequilateral triangles. They are also the Riemann surfaces defin
ed over\nthe algebraic numbers. Brooks\, Makover\, Mirzakhani and many oth
ers\nproved results about the geometric properties of random large genus\n
triangulated surfaces\, and similar results about the geometric\npropertie
s of random large genus hyperbolic surfaces. These results\nmotivated the
question: how are triangulated surfaces distributed in\nthe moduli space o
f Riemann surfaces\, quantitatively? I will talk\nabout results related to
this question.
DTSTART:20240429T180000Z
DTEND:20240429T190000Z
LAST-MODIFIED:20240429T130651Z
LOCATION:Simonyi 101 and Remote Access
SUMMARY:Members' Colloquium
URL:https://www.ias.edu/math/events/members-colloquium-67
END:VEVENT
BEGIN:VEVENT
UID:38363164-6262-4437-b863-356630636431
DTSTAMP:20240720T155407Z
CREATED:20231206T182354Z
DESCRIPTION:Topic: Microlocal Sheaves and Aﬃne Springer Fibers\n\nSpeakers:
Pablo Boixeda Alvarez\n\nThe resolutions of Slodowy slices $\tilde{S}_{e}
$ are symplectic\nvarieties that contain the Springer fiber $(G/B)_{e}$ as
a Lagrangian\nsubvariety. In joint work with R. Bezrukavnikov\, M. McBree
n and Z.\nYun\, we construct analogues of these spaces for homogeneous aff
ine\nSpringer fibers. We further understand the categories of microlocal\n
sheaves in these symplectic spaces supported on the affine Springer\nfiber
as some categories of coherent sheaves. In this talk I will\nmostly focus
on the case of the homogeneous element ts𝑡𝑠 for\ns𝑠 a regular semisimple
element and will discuss some relations of\nthese categories with the smal
l quantum group providing a\ncategorification of joint work with R.Bezruka
vnikov\, P. Shan and E.\nVasserot. If I have time I will then mention some
recent application\nof this result to the Breuil-Mezard conjecture by T.
Feng and B. Le\nHung.
DTSTART:20240429T193000Z
DTEND:20240429T203000Z
LAST-MODIFIED:20240426T191555Z
LOCATION:Fine 322\, Princeton University
SUMMARY:Joint IAS/Princeton Arithmetic Geometry Seminar
URL:https://www.ias.edu/math/events/joint-iasprinceton-arithmetic-geometry-
seminar-23
END:VEVENT
BEGIN:VEVENT
UID:30326337-3436-4630-a465-626139666633
DTSTAMP:20240720T155408Z
CREATED:20240207T145738Z
DESCRIPTION:Topic: Some Analytic Applications of the Polynomial Method\n\nS
peakers: Bodan Arsovski\n\nThis talk will be about the polynomial method a
nd its applications to\nquestions that have traditionally been tackled by
Fourier analysis\,\nwith emphasis on the Kakeya conjecture\, the cap set p
roblem\,\narithmetic progressions in dense sets\, and the Katz-Tao arithme
tic\nKakeya conjecture which connects the three together.
DTSTART:20240503T183000Z
DTEND:20240503T193000Z
LAST-MODIFIED:20240603T171027Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-29
END:VEVENT
BEGIN:VEVENT
UID:36313335-3037-4865-b134-316636363264
DTSTAMP:20240720T155408Z
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:20240430T120511Z
LOCATION:Princeton University\, Fine 214
SUMMARY:Condensed Learning Seminar
URL:https://www.ias.edu/math/events/condensed-learning-seminar-22
END:VEVENT
BEGIN:VEVENT
UID:39303439-3833-4061-b536-653164386233
DTSTAMP:20240720T155408Z
CREATED:20240326T140749Z
DESCRIPTION:Topic: The Geometric Langlands Conjecture\n\nSpeakers: Sam Rask
in\n\nI will describe the main ideas that go into the proof of the\n(unram
ified\, global) geometric Langlands conjecture. All of this work\nis joint
with Gaitsgory and some parts are joint with Arinkin\,\nBeraldo\, Chen\,
Faergeman\, Lin\, and Rozenblyum. I will also describe\nrecent work on und
erstanding the structure of Hecke eigensheaves\n(where the attributions ar
e varied and too complicated for an\nabstract).
DTSTART:20240506T193000Z
DTEND:20240506T203000Z
LAST-MODIFIED:20240603T171237Z
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:38373265-3263-4537-b837-646464383230
DTSTAMP:20240720T155408Z
CREATED:20240207T145803Z
DESCRIPTION:Topic: Supersymmetric Approach to the Analysis of Random Band M
atrices\n\nSpeakers: Mariya Shcherbina\n\nWe discuss an application of the
SUSY approach to the analysis of\nspectral characteristics of hermitian a
nd non hermitian random band\nmatrices. In 1D case the obtained integral r
epresentations for\ncorrelation functions of characteristic polynomials al
low to analyze\nthe mechanism of phase transition between “localized” and
\nndelocalized” spectral behavior.
DTSTART:20240510T183000Z
DTEND:20240510T193000Z
LAST-MODIFIED:20240603T171058Z
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:61313564-3135-4462-a366-366663356461
DTSTAMP:20240720T155408Z
CREATED:20240207T145855Z
DESCRIPTION:Topic: Continuous Symmetry Breaking: A Rigorous Approach\n\nSpe
akers: Sara Daneri\n\nAt the base of spontaneous pattern formation is univ
ersally believed\nto be the competition between short range attractive and
long range\nrepulsive forces. Though such a phenomenon is observed in exp
eriments\nand simulations\, a rigorous understanding of the mechanisms at
its\nbase is still in most physical problems a challenging open problem.\n
The main difficulties are due to the nonlocality of the interactions\nand\
, in more than one space dimensions\, the symmetry breaking\nphenomenon (n
amely the fact that the interactions have a larger group\nof symmetries th
an that of their minimizers). \n\nIn this talk we consider a general class
of isotropic functionals in\ndimension $d\geq 2$\, typical in physical mo
dels\, in which a surface\nterm favouring pure phases competes with a nonl
ocal term with power\nlaw kernel favouring alternation between different p
hases. Close to\nthe critical regime in which the two terms are of the sam
e order\, we\ngive a rigorous proof of the conjectured symmetry breaking a
nd pattern\nformation for global minimizers\, in the shape of domains with
flat\nboundary (e.g. stripes or lamellae). \n\nAmong others\, our approac
h relies on detecting a nonlocal\ncurvature-type quantity which is control
led by the energy functional\nand whose finiteness implies flatness for su
fficiently regular\nboundaries. \n\nThis is a joint work with E. Runa.
DTSTART:20240524T183000Z
DTEND:20240524T193000Z
LAST-MODIFIED:20240603T171130Z
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:62353232-6363-4465-b830-643166653438
DTSTAMP:20240720T155408Z
CREATED:20240207T150202Z
DESCRIPTION:Topic: Global Well-Posedness of Stochastic Abelian-Higgs in Two
Dimensions\n\nSpeakers: Sky Cao\n\nThere has been much recent progress on
the local solution theory for\ngeometric singular SPDEs. However\, the gl
obal theory is still largely\nopen. In my talk\, I will discuss the global
well-posedness of the\nstochastic Abelian-Higgs model in two dimensions\,
which is a geometric\nsingular SPDE arising from gauge theory. The proof
is based on a new\ncovariant approach\, which consists of two parts: First
\, we introduce\ncovariant stochastic objects\, which are controlled using
covariant\nheat kernel estimates. Second\, we control nonlinear remainder
s using a\ncovariant monotonicity formula\, which is inspired by earlier w
ork of\nHamilton. \n\nJoint work with Bjoern Bringmann.
DTSTART:20240531T183000Z
DTEND:20240531T193000Z
LAST-MODIFIED:20240604T114840Z
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:37396462-6661-4961-b230-316639316661
DTSTAMP:20240720T155408Z
CREATED:20240603T174435Z
DESCRIPTION:Topic: Inertial Manifolds for the Hyperbolic Cahn-Hilliard Equa
tion\n\nSpeakers: Ahmed Bonfoh\n\nAn inertial manifold is a positively inv
ariant smooth\nfinite-dimensional manifold which contains the global attra
ctor and\nwhich attracts the trajectories at a uniform exponential rate. I
t\nfollows that the infinite-dimensional dynamical system is then\nreduced
\, on the inertial manifold\, to a finite system of ordinary\ndifferential
equations. We will give a new proof of the existence of\nan inertial mani
fold for the hyperbolic relaxation of the\nCahn-Hilliard equation. Then we
will show some continuity properties\nof the inertial manifold\, as the r
elaxation coefficient tends to\nzero.
DTSTART:20240614T183000Z
DTEND:20240614T193000Z
LAST-MODIFIED:20240617T113938Z
LOCATION:Simonyi Hall 101 and Remote Access
SUMMARY:Analysis and Mathematical Physics
URL:https://www.ias.edu/math/events/analysis-and-mathematical-physics-32
END:VEVENT
END:VCALENDAR