BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Arnaud Mayeux (BICMR)
DTSTART:20200506T080000Z
DTEND:20200506T090000Z
DTSTAMP:20260404T111101Z
UID:POINTS/1
DESCRIPTION:Title: Dilatations and Néron blowups (with Timo Richarz and Matthieu Romag
ny)\nby Arnaud Mayeux (BICMR) as part of POINTS - Peking Online Intern
ational Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Timo Richarz (TU Darmstadt)
DTSTART:20200506T090000Z
DTEND:20200506T100000Z
DTSTAMP:20260404T111101Z
UID:POINTS/2
DESCRIPTION:Title: Applications of Néron blowups to integral models of moduli stacks o
f shtukas\nby Timo Richarz (TU Darmstadt) as part of POINTS - Peking O
nline International Number Theory Seminar\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Newton (King's College London)
DTSTART:20200513T100000Z
DTEND:20200513T110000Z
DTSTAMP:20260404T111101Z
UID:POINTS/3
DESCRIPTION:Title: Symmetric power functoriality for modular forms\nby James Newton
(King's College London) as part of POINTS - Peking Online International N
umber Theory Seminar\n\n\nAbstract\nLanglands functoriality predicts the t
ransfer of automorphic representations along maps of L-groups. In particul
ar\, the symmetric power representation $\\mathrm{Symm}^{n-1}$ of $\\mathr
m{GL}(2)$ should give rise to a lifting from automorphic representations o
f $\\mathrm{GL}(2)$ to automorphic representations of $\\mathrm{GL}(n)$. I
will discuss joint work with Jack Thorne\, in which we prove the existenc
e of all symmetric power lifts for many cuspidal Hecke eigenforms (for exa
mple\, those of square-free level).\n\nZoom ID = 616 2536 2002 \; PIN = 67
2097\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miyu Suzuki (Kanazawa University)
DTSTART:20200617T070000Z
DTEND:20200617T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/4
DESCRIPTION:Title: Prehomogeneous zeta functions and toric periods for inner forms of G
L(2)\nby Miyu Suzuki (Kanazawa University) as part of POINTS - Peking
Online International Number Theory Seminar\n\n\nAbstract\nI will explain a
new application of prehomogeneous zeta functions to non-vanishing of peri
ods of automorphic forms. The zeta functions we use were first introduced
by F. Sato and a general theory is developed by the recent work of Wen-Wei
Li. They can be used to show non-vanishing of infinitely many toric perio
ds of cuspidal representations of inner forms of $\\mathrm{GL}(2)$. If tim
e permits\, I will mention future works based on the local theory of Wen-W
ei Li. This is a joint work with Satoshi Wakatsuki.\n\nZoom ID = 691 6842
4338\n\nPIN = 902454\n\nLink: https://zoom.com.cn/j/69168424338?pwd=Tms3bn
lBRWl0V1htMVV5dTZSZk9qQT09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Huy Dang (University of Virginia)
DTSTART:20200520T050000Z
DTEND:20200520T060000Z
DTSTAMP:20260404T111101Z
UID:POINTS/5
DESCRIPTION:Title: Hurwitz trees and deformations of Artin-Schreier covers\nby Huy
Dang (University of Virginia) as part of POINTS - Peking Online Internatio
nal Number Theory Seminar\n\n\nAbstract\nIn this talk\, we introduce the n
otion of Hurwitz tree for an Artin-Schreier deformation (deformation of $\
\mathbb{Z}/p$-covers in characteristic $p > 0$). It is a combinatorial-dif
ferential object that is endowed with essential degeneration data\, measur
ed by Kato's refined Swan conductors\, of the deformation. We then show ho
w the existence of a deformation between two covers with different branchi
ng data (e.g.\, different number of branch points) equates to the presence
of a Hurwitz tree with behaviors determined by the branching data. One ap
plication of this result is to prove that the moduli space of Artin-Schrei
er covers of fixed genus $g$ is connected when $g$ is sufficiently large.
If time permits\, we will discuss a generalization of the Hurwitz tree tec
hnique to all cyclic covers and beyond.\n\nZoom ID: 625 5863 1654\n\nPassw
ord: 809410\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiyuan Wang (Johns Hopkins University)
DTSTART:20200527T013000Z
DTEND:20200527T023000Z
DTSTAMP:20260404T111101Z
UID:POINTS/6
DESCRIPTION:Title: The Tate conjecture for a concrete family of elliptic surfaces\n
by Xiyuan Wang (Johns Hopkins University) as part of POINTS - Peking Onlin
e International Number Theory Seminar\n\n\nAbstract\nWe prove the Tate con
jecture for a concrete family of elliptic surfaces. This is a joint work w
ith Lian Duan. In this talk\, I will begin with an general introduction to
the Tate conjecture and the Fontaine-Mazur conjecture. Then I will focus
on the Tate conjecture for a family of elliptic surfaces introduced by Gee
men and Top\, and try to explain the motivation and elementary idea behind
the proof.\n\nZoom Conference number = 643 5504 3567\n\nPassword = 904742
\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiaolei Wan (National University of Singapore)
DTSTART:20200708T010000Z
DTEND:20200708T020000Z
DTSTAMP:20260404T111101Z
UID:POINTS/7
DESCRIPTION:Title: Examples related to the Sakellaridis-Venkatesh conjecture\nby Xi
aolei Wan (National University of Singapore) as part of POINTS - Peking On
line International Number Theory Seminar\n\n\nAbstract\nIn this talk\, I w
ill introduce the Sakellaridis-Venkatesh conjecture on the decomposition o
f global period\, and give examples related to this conjecture. More speci
fically\, the cases $X = \\mathrm{SO}(n-1) \\backslash \\mathrm{SO}(n)$ an
d $X = \\mathrm{U}(2) \\backslash \\mathrm{SO}(5)$. In both cases\, I will
determine the Plancherel decompositions of $L^2(X_v)$\, where $v$ is a lo
cal place. Then I will prove the local relative character identity. In the
global setting\, I will give the factorization of the global period of $X
= \\mathrm{SO}(n-1) \\backslash \\mathrm{SO}(n)$\, where the local functi
onal comes from the local Plancherel decomposition. The example $X = \\mat
hrm{U}(2) \\backslash \\mathrm{SO}(5)$ is slightly beyond the SV conjectur
e but we still have a decomposition of the global period as the sum of two
factorizable elements.\n\nZoom ID: 646 0419 2446\n\nZoom password: 984662
\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xiaoyu Zhang (Universität Duisburg-Essen)
DTSTART:20200610T100000Z
DTEND:20200610T110000Z
DTSTAMP:20260404T111101Z
UID:POINTS/8
DESCRIPTION:Title: p-adic family of modular forms on GSpin Shimura varieties\nby Xi
aoyu Zhang (Universität Duisburg-Essen) as part of POINTS - Peking Online
International Number Theory Seminar\n\n\nAbstract\nThe theory of $p$-adic
interpolation of modular forms on the upper half plane started with Serre
for Eisenstein series and then was developed by Hida for ordinary cuspida
l modular forms. This theory plays an important role in the construction o
f $p$-adic $L$-functions\, modularity theorems\, etc. In this talk\, I wil
l generalize this theory to modular forms on $\\mathrm{GSpin}$ Shimura var
ieties. In such cases\, the ordinary locus may be empty and we need to wor
k with the $\\mu$-ordinary locus. Then we follow Hida’s idea to construc
t $p$-adic families of modular forms and give the control theorem on the d
imension of the space of such $p$-adic families.\n\nZoom number: 682 6223
4350\n\nPassword: 300890\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Linhui Shen (Michigan State University)
DTSTART:20200603T013000Z
DTEND:20200603T023000Z
DTSTAMP:20260404T111101Z
UID:POINTS/9
DESCRIPTION:Title: Quantum geometry of moduli spaces of local systems\nby Linhui Sh
en (Michigan State University) as part of POINTS - Peking Online Internati
onal Number Theory Seminar\n\n\nAbstract\nLet $G$ be a split semi-simple a
lgebraic group over $\\mathbb{Q}$. We introduce a natural cluster structur
e on moduli spaces of G-local systems over surfaces with marked points. As
a consequence\, the moduli spaces of $G$-local systems admit natural Pois
son structures\, and can be further quantized. We will study the principal
series representations of such quantum spaces. It will recover many class
ical topics\, such as the $q$-deformed Toda systems\, quantum groups\, and
the modular functor conjecture for such representations. This talk will m
ainly be based on joint work with A.B. Goncharov.\n\nZoom number: 681 9707
4659\n\nZoom password: 929593\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Dotto (University of Chicago)
DTSTART:20200624T013000Z
DTEND:20200624T023000Z
DTSTAMP:20260404T111101Z
UID:POINTS/10
DESCRIPTION:Title: Mod p Bernstein centres of p-adic groups\nby Andrea Dotto (Univ
ersity of Chicago) as part of POINTS - Peking Online International Number
Theory Seminar\n\n\nAbstract\nThe centre of the category of smooth mod $p$
representations of a $p$-adic reductive group does not distinguish the bl
ocks of finite length representations\, in contrast with Bernstein's theor
y in characteristic zero. Motivated by this observation and the known conn
ections between the Bernstein centre and the local Langlands correspondenc
e in families\, we consider the case of $\\mathrm{GL}_2(\\mathbb{Q}_p)$ an
d we prove that its category of representations extends to a stack on the
Zariski site of a simple geometric object: a chain $X$ of projective lines
\, whose points are in bijection with Paskunas's blocks. Taking the centre
over each open subset we obtain a sheaf of rings on $X$\, and we expect t
he resulting space to be closely related to the Emerton-Gee stack for $2$-
dimensional representations of the absolute Galois group of $\\mathbb{Q}_p
$. Joint work in progress with Matthew Emerton and Toby Gee.\n\nZoom ID: 6
50 3772 0269\n\nPassword: 585279\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jun Su (Cambridge University)
DTSTART:20200701T080000Z
DTEND:20200701T090000Z
DTSTAMP:20260404T111101Z
UID:POINTS/11
DESCRIPTION:Title: Arithmetic group cohomology: coefficients and automorphy\nby Ju
n Su (Cambridge University) as part of POINTS - Peking Online Internationa
l Number Theory Seminar\n\n\nAbstract\nCohomology of arithmetic subgroups\
, with coefficients being algebraic representations of the corresponding r
eductive group\, has played an important role in the construction of Langl
ands correspondence. Traditionally the first step to access these objects
is to view them as cohomology of (locally constant) sheaves on locally sym
metric spaces and hence connect them with spaces of functions. However\, s
ometimes infinite dimensional coefficients also naturally arise\, e.g. whe
n you try to attach elliptic curves to weight 2 eigenforms on $\\mathrm{GL
}_2$ / an imaginary cubic field\, and the sheaf theoretic viewpoint might
no longer be fruitful. In this talk we’ll explain a different but very s
imple understanding of the connection between arithmetic group cohomology
(with finite dimensional coefficients) and function spaces\, and discuss t
he application of this idea to infinite dimensional coefficients.\n\nZoom
ID: 663 6110 0929\n\nZoom password: 059123\n\nLink: https://zoom.com.cn/j/
66361100929?pwd=Y2JQdTd5QnhEOFBKWVRDR1JsV1VZZz09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Esmail Arasteh Rad (Universität Münster)
DTSTART:20200722T080000Z
DTEND:20200722T090000Z
DTSTAMP:20260404T111101Z
UID:POINTS/12
DESCRIPTION:Title: Local models for moduli of global and local shtukas\nby Esmail
Arasteh Rad (Universität Münster) as part of POINTS - Peking Online Inte
rnational Number Theory Seminar\n\n\nAbstract\nModuli spaces for global $G
$-shtukas appear as function fields analogs for Shimura varieties. This ca
n be observed for example through Langlands philosophy. They possess local
counterparts which are called Rapoport-Zink spaces for local $P$-shtukas
which similarly arise as function fields analogs for Rapoport-Zink spaces
for $p$-divisible groups. In this talk we first recall the construction of
these moduli stacks (spaces)\, and after providing some preliminary backg
rounds\, we discuss the theory of local models for them. If time permits w
e also discuss some of the applications.\n\nZoom ID: 646 7802 6902\n\nPass
word: 762858\n\nLink: https://zoom.com.cn/j/64678026902?pwd=VUdTbUsvQmtYam
hwT2dWbTZCSmx6Zz09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kei Yuen Chan (Shanghai Center for Mathematical Sciences)
DTSTART:20200813T070000Z
DTEND:20200813T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/13
DESCRIPTION:Title: Gan-Gross-Prasad conjectures for general linear groups\nby Kei
Yuen Chan (Shanghai Center for Mathematical Sciences) as part of POINTS -
Peking Online International Number Theory Seminar\n\n\nAbstract\nIn this t
alk\, I will talk about restriction problems of general linear groups over
local and global fields\, surrounding Gan-Gross-Prasad conjectures. In pa
rticular\, I will discuss a local conjecture on predicting the branching l
aws of the non-tempered representations arisen from Arthur packets and my
recent work on a proof of the conjecture. Along the way\, I will also disc
uss some significant properties of restrictions such as multiplicity one\,
Ext-vanishing\, projectivity and indecomposability.\n\nZoom ID: 688 0605
5569\n\nZoom Password: 773605\n\nZoom Link: https://zoom.com.cn/j/68806055
569?pwd=MFczUVdvc1JpeWdKVEhyR3J2VXdMZz09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuanqing Cai (Kyoto University)
DTSTART:20200826T023000Z
DTEND:20200826T033000Z
DTSTAMP:20260404T111101Z
UID:POINTS/14
DESCRIPTION:Title: Doubling integrals for Brylinski-Deligne extensions of classical gr
oups\nby Yuanqing Cai (Kyoto University) as part of POINTS - Peking On
line International Number Theory Seminar\n\n\nAbstract\nIn the 1980s\, Pia
tetski-Shapiro and Rallis discovered a family of Rankin-Selberg integrals
for the classical groups that did not rely on Whittaker models. This is th
e so-called doubling method. It grew out of Rallis' work on the inner prod
ucts of theta lifts -- the Rallis inner product formula.\n\nRecently\, a f
amily of global integrals that represent the tensor product L-functions fo
r classical groups (joint with Friedberg\, Ginzburg\, and Kaplan) and the
tensor product L-functions for covers of symplectic groups (Kaplan) was di
scovered. These can be viewed as generalizations of the doubling method. I
n this talk\, we explain how to develop the doubling integrals for Brylins
ki-Deligne extensions of all connected classical groups. This gives a fami
ly of Eulerian global integrals for this class of non-linear extensions.\n
\nZoom ID = 688 8198 6448\n\nZoom Password = 472875\n\nZoom Link = https:/
/zoom.com.cn/j/68881986448?pwd=d3BCRzR2Q1AwM0hyV1RHVCtFcnR4UT09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinhe Ye (MSRI)
DTSTART:20201021T080000Z
DTEND:20201021T090000Z
DTSTAMP:20260404T111101Z
UID:POINTS/15
DESCRIPTION:Title: Lovely pairs of valued fields and adic spaces\nby Jinhe Ye (MSR
I) as part of POINTS - Peking Online International Number Theory Seminar\n
\nLecture held in Science Building 1\, room 1303\, Peking University (Yany
uan campus).\n\nAbstract\nHrushovski and Loeser used the space \\(\\wideha
t{V}\\) of generically stable types concentrating on \\(V\\) to study the
topology of Berkovich analytification \\(V^{an}\\) of \\(V\\). In this tal
k we will give a brief introduction to this object and present an alternat
ive approach\, based on lovely pairs of valued fields\, to study various a
nalytifications using model theory. We will provide a model-theoretic coun
terpart \\(\\widetilde{V}\\) of the Huber's analytification of \\(V\\). We
show that\, the same as for \\(\\widehat{V}\\)\, the space \\(\\widetilde
{V}\\) is strict pro-definable.\n\nFurthermore\, we will discuss canonical
liftings of the deformation retraction developed by Hrushovski and Loeser
. This is a joint project with Pablo Cubides-Kovacsics and Martin Hils.\n\
nThe talk will be given in the offline + online duplex mode.\n\nZoom ID: 6
49 4104 826\n\nPassowrd: 143688\n\nLink: https://zoom.com.cn/j/64941048264
?pwd=aUI5ZWQvbTYwVmlEekowZ0w0eTZ4UT09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ariyan Javanpeykar (Johannes Gutenberg-Universität Mainz)
DTSTART:20201125T063000Z
DTEND:20201125T073000Z
DTSTAMP:20260404T111101Z
UID:POINTS/16
DESCRIPTION:Title: Hilbert's irreducibility theorem for abelian varieties\nby Ariy
an Javanpeykar (Johannes Gutenberg-Universität Mainz) as part of POINTS -
Peking Online International Number Theory Seminar\n\n\nAbstract\nWe will
discuss joint work with Corvaja\, Demeio\, Lombardo\, and Zannier in which
we extend Hilbert's irreducibility theorem (for rational varieties) to th
e setting of abelian varieties. Roughly speaking\, given an abelian variet
y A over a number field k and a ramified covering X of A\, we show that X
has "less" k-rational points than A.\n\nZoom ID: 637 7860 6108\n\nZoom Pas
sword: 742636\n\nURL: https://zoom.com.cn/j/63778606108?pwd=RlpyQWR2MlRDbT
Zzcmlha09oRVd6QT09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ziquan Yang (Harvard University)
DTSTART:20201223T030000Z
DTEND:20201223T040000Z
DTSTAMP:20260404T111101Z
UID:POINTS/17
DESCRIPTION:Title: Finiteness and the Tate Conjecture in Codimension 2 for K3 Squares<
/a>\nby Ziquan Yang (Harvard University) as part of POINTS - Peking Online
International Number Theory Seminar\n\n\nAbstract\nTwo years ago\, via a
refined CM lifting theory\, Ito-Ito-Koshikawa proved the Tate Conjecture f
or squares of K3 surfaces over finite fields by reducing to Tate's theorem
on the endomorphisms of abelian varieties. I will explain a different pro
of\, which is based on a twisted version of Fourier-Mukai transforms betwe
en K3 surfaces. In particular\, I do not use Tate's theorem after assuming
some known properties of individual K3's. The main purpose of doing so is
to illustrate Tate's insight on the connection between the Tate conjectur
e and the positivity results in algebraic geometry for codimension 2 cycle
s\, through some "geometry in cohomological degree 2".\n\nZoom ID = 613 53
32 8443\n\nPassword = 182269\n\nLink = https://zoom.com.cn/j/61353328443?p
wd=eEpaNkpCdTBER3o1eFJER2NaS29qUT09\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hiroshi Ishimoto (Kyoto University)
DTSTART:20210121T070000Z
DTEND:20210121T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/18
DESCRIPTION:Title: A proof of Ibukiyama's conjecture on Siegel modular forms of half-
integral weight and of degree 2\nby Hiroshi Ishimoto (Kyoto University
) as part of POINTS - Peking Online International Number Theory Seminar\n\
n\nAbstract\nIn 2006\, Ibukiyama conjectured that there is a linear isomo
rphism between a space of Siegel cusp forms of degree $2$ of integral wei
ght and that of half-integral weight. With Arthur's multiplicity formula
on the odd special orthogonal group $\\mathrm{SO}(5)$ and Gan-Ichino's mu
ltiplicity formula on the metaplectic group $\\mathrm{Mp}(4)$\, Ibukiyama'
s conjecture can be proven in a representation theoretic way.\n\nZoom Lin
k: https://zoom.com.cn/j/68649455267?pwd=RjZ1RXNZRGxIVkM5cnIzd3pmVnBjdz09\
n\nID: 686 4945 5267\n\nPassword: 376422\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhixiang Wu (Université Paris-Saclay)
DTSTART:20210407T070000Z
DTEND:20210407T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/19
DESCRIPTION:Title: Companion forms and partially classical eigenvarieties\nby Zhix
iang Wu (Université Paris-Saclay) as part of POINTS - Peking Online Inter
national Number Theory Seminar\n\n\nAbstract\nIn general\, there exist $p$
-adic automorphic forms of different weights with the same associated $p$-
adic Galois representation. The existence of these companion forms is also
predicted by Breuil's locally analytic socle conjecture in the $p$-adic l
ocal Langlands program. Under the Taylor-Wiles assumption\, Breuil-Hellman
n-Schraen proved the existence of all companion forms when the associated
crystalline Galois representations have regular Hodge-Tate weights. In thi
s talk\, I will explain how to generalize their results to some cases when
the Hodge-Tate weights are not necessarily regular. The method relies on
Ding's construction of partially classical eigenvarieties and their relati
onships with some spaces of Galois representations.\n\nZoom ID: 648 9548 7
663\n\nZoom password: 525224\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jinbo Ren (University of Virginia)
DTSTART:20210521T020000Z
DTEND:20210521T030000Z
DTSTAMP:20260404T111101Z
UID:POINTS/20
DESCRIPTION:Title: Some applications of Diophantine Approximation to Group theory\
nby Jinbo Ren (University of Virginia) as part of POINTS - Peking Online I
nternational Number Theory Seminar\n\n\nAbstract\nTranscendental Number Th
eory tells us an essential difference between transcendental numbers and a
lgebraic numbers is that the former can be approximated by rational number
s ``very well’’ but not the latter. More specifically\, one has the fo
llowing Fields Medal work by Roth. Given a real algebraic number $a$ of de
gree $\\geq 3$ and any $\\delta>0$\, there is a constant $c=c(a\,\\delta)>
0$ such that for any rational number $\\eta$\, we have $|\\eta-a|>c H(\\et
a)^{-\\delta}$\, where $H(\\eta)$ is the height of $\\eta$. Moreover\, we
have Schmidt’s Subspace theorem\, a non-trivial generalization of Roth
’s theorem.\n \nOn the other hand\, we have the notion of Bounded Genera
tion in Group Theory. An abstract group $\\Gamma$ is called Boundedly Gene
rated if there exist $g_1\,g_2\,\\cdots\, g_r\\in \\Gamma$ such that $\\Ga
mma=\\langle g_1\\rangle \\cdots \\langle g_r\\rangle$ where $\\langle g\\
rangle$ is the cyclic group generated by $g$. While being a purely combina
torial property of groups\, bounded generation has a number of interesting
consequences and applications in different areas. For example\, bounded g
eneration has close relation with Serre’s Congruence Subgroup Problem an
d Margulis-Zimmer conjecture.\n \nIn my recent joint work with Corvaja\, R
apinchuk and Zannier\, we applied an ``algebraic geometric’’ version o
f Roth and Schmidt’s theorems\, i.e. Laurent’s theorem\, to prove a se
ries of results about when a group is boundedly generated. In particular\,
we have shown that a finitely generated anisotropic linear group over a f
ield of characteristic zero has bounded generation if and only if it is vi
rtually abelian\, i.e. contains an abelian subgroup of finite index.\n \nI
n my talk\, I will explain the idea of this proof and give certain open qu
estions.\n\nZoom ID: 854 7383 4027\n\nPassword: 562471\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zicheng Qian (Toronto University)
DTSTART:20210602T020000Z
DTEND:20210602T030000Z
DTSTAMP:20260404T111101Z
UID:POINTS/21
DESCRIPTION:Title: Moduli of Fontaine-Laffaille modules and mod p local-global compati
bility\nby Zicheng Qian (Toronto University) as part of POINTS - Pekin
g Online International Number Theory Seminar\n\nLecture held in 77201\, Be
ijing International Center for Mathematical Research\, Peking University.\
n\nAbstract\nWe introduce a set of invariant functions on the moduli of Fo
ntaine-Laffaille modules and prove that they separate points on the moduli
in a suitable sense. Consequently\, we prove the following local-lobal co
mpatibility result for suitable global set up and under standard Kisin-Tay
lor-Wiles conditions: the Hecke eigenspace attached to a modular mod \\(p\
\) global Galois representation determines its restriction at a place unra
mified over \\(p\\)\, if the restriction is Fontaine-Laffaille and has a g
eneric semisimplification. The genericity assumption is mild and explicit.
This is a joint work with D. Le\, B.V. Le Hung\, S. Morra and C. Park.\n\
nZoom ID: 881 3287 2530\n\nZoom Password: 898924\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Tsimerman (University of Toronto)
DTSTART:20210610T020000Z
DTEND:20210610T030000Z
DTSTAMP:20260404T111101Z
UID:POINTS/22
DESCRIPTION:Title: Abelian Varieties not Isogeneous to Jacobians - in Arbitrary Charac
teristic\nby Jacob Tsimerman (University of Toronto) as part of POINTS
- Peking Online International Number Theory Seminar\n\nLecture held in Ro
om 77201 at BICMR.\n\nAbstract\n(Joint w/ Ananth Shankar) We prove that ov
er an arbitrary global field\, for every $g>3$ there exists an abelian var
iety which is not isogenous to a Jacobian.\n\nZOOM ID: 869 4660 9830\n\nCo
de: 219147\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weibo Fu (Princeton University)
DTSTART:20211202T005000Z
DTEND:20211202T015000Z
DTSTAMP:20260404T111101Z
UID:POINTS/23
DESCRIPTION:Title: A derived construction of eigenvarieties\nby Weibo Fu (Princeto
n University) as part of POINTS - Peking Online International Number Theor
y Seminar\n\nLecture held in 77201\, Beijing International Center for Math
ematical Research\, Peking University.\n\nAbstract\nWe construct a derived
variant of Emerton's eigenvarieties using the locally analytic representa
tion theory of p-adic groups. The main innovations include comparison and
exploitation of two homotopy equivalent completed complexes associated to
the locally symmetric spaces of a quasi-split reductive group 𝔾\, compa
rison to overconvergent cohomology\, proving exactness of finite slope par
t functor\, together with some representation-theoretic statements. As a g
lobal application\, we exhibit an eigenvariety coming from data of $\\math
rm{GL}_n$ over a CM field as a subeigenvariety for a quasi-split unitary g
roup.\n\nZoom number: 828 5069 1379\n\nPassword: 046645\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chung-Ru Lee (Duke University)
DTSTART:20220106T020000Z
DTEND:20220106T030000Z
DTSTAMP:20260404T111101Z
UID:POINTS/24
DESCRIPTION:Title: Endoscopic Relative Orbital Integrals on a Unitary Group\nby Ch
ung-Ru Lee (Duke University) as part of POINTS - Peking Online Internation
al Number Theory Seminar\n\n\nAbstract\nThe characterization of distinguis
hed representations is crucial for studying automorphic representations. T
he celebrated conjectures of Sakellaridis and Venkatesh provide such a cha
racterization in many cases. In particular\, they provide a conjectural de
scription of the representations of a split reductive group that are disti
nguished by a split reductive spherical subgroup. However\, there remain m
any mysteries when the generic stabilizer is disconnected.\n\nThe comparis
on of relative trace formulae\, initially suggested by Jacquet\, has been
one of the most effective ways to study distinction problems in automorphi
c representation theory. Stabilization is a pivotal step for the compariso
n of relative trace formulae. To prepare for stabilization\, one needs to
investigate the endoscopic relative orbital integrals.\n\nIn this talk\, w
e study the endoscopy theory for unitary groups in a relative setting wher
e the generic stabilizer is disconnected and finite over a $p$-adic field.
This talk aims to compute an explicit formula for endoscopic relative orb
ital integrals.\n\nZoom number: 859 0713 0926\n\nPassword: 243862\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Liyang Yang (Princeton University)
DTSTART:20220113T010000Z
DTEND:20220113T020000Z
DTSTAMP:20260404T111101Z
UID:POINTS/25
DESCRIPTION:Title: The Jacquet-Zagier Trace Formula for GL(n)\nby Liyang Yang (Pri
nceton University) as part of POINTS - Peking Online International Number
Theory Seminar\n\n\nAbstract\nThe so-called Jacquet-Zagier trace formula w
as established by Jacquet and Zagier for GL(2) for two main reasons: deduc
ing the holomorphy of adjoint L-functions and generalizing Selberg's trace
formula in a different way from Arthur's truncation process. In this talk
we will describe Jacquet-Zagier'strace formula in higher ranks. It plays
a role in the study of holomorphic continuation of automorphic L-functions
and certain Artin L-functions.\n\nZoom number: 816 7216 0068\n\nPassword:
536786\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yasuhiro Terakado (National Center for Theoretical Sciences)
DTSTART:20220303T023000Z
DTEND:20220303T040000Z
DTSTAMP:20260404T111101Z
UID:POINTS/26
DESCRIPTION:Title: Mass formula on the basic loci of unitary Shimura varieties\nby
Yasuhiro Terakado (National Center for Theoretical Sciences) as part of P
OINTS - Peking Online International Number Theory Seminar\n\n\nAbstract\nW
e study a mass of the group of self-quasi-isogenies of the abelian variety
corresponding to a point on the basic locus in the reduction modulo p of
a GU(r\,s) Shimura variety. We give explicit formulas for the number of ir
reducible components of the basic locus\, and for the cardinality of the z
ero-dimensional Ekedahl-Oort stratum\, in a Shimura variety associated wit
h a unimodular Hermitian lattice. On the way\, we also give a formula for
the number of connected components of a Shimura variety. This is joint wor
k with Chia-Fu Yu.\n\nZoom ID: 830 7759 2753\n\nPassword: 814734\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shih-Yu Chen (Academia Sinica)
DTSTART:20220314T023000Z
DTEND:20220314T033000Z
DTSTAMP:20260404T111101Z
UID:POINTS/27
DESCRIPTION:Title: Algebraicity of critical values of automorphic L-functions: Example
s and Conjectures\nby Shih-Yu Chen (Academia Sinica) as part of POINTS
- Peking Online International Number Theory Seminar\n\n\nAbstract\nIn thi
s talk\, we introduce some algebraicity results on the critical values of
automorphic $L$-functions. The techniques in these examples are integral r
epresentation of automorphic $L$-functions\, constant terms of Eisenstein
series\, and their cohomological interpretations. \nThese results are comp
atible with Clozel's conjecture on existence of motives associated to alge
braic cuspidal automorphic representations of general linear groups and De
ligne's conjecture on algebraicity of critical values of motivic $L$-funct
ions.\n\nZoom ID：817 4314 0004\n\nZoom PW：199319\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shih-Yu Chen (Academia Sinica)
DTSTART:20220316T023000Z
DTEND:20220316T033000Z
DTSTAMP:20260404T111101Z
UID:POINTS/28
DESCRIPTION:Title: On Deligne's conjecture for critical values of tensor product L-fun
ctions and symmetric power L-functions of modular forms\nby Shih-Yu Ch
en (Academia Sinica) as part of POINTS - Peking Online International Numbe
r Theory Seminar\n\n\nAbstract\nIn this talk\, we introduce our result on
the algebraicity of ratios of product of critical values of Rankin--Selber
g $L$-functions and its applications. \nMore precisely\, let $\\mathit{\\S
igma\,\\Sigma'}$ (resp. $\\mathit{\\Pi\,\\Pi'}$) be cohomological tamely i
sobaric automorphic representations of $\\mathrm{GL}_n(\\mathbb{A})$ (resp
. $\\mathrm{GL}_{n'}(\\mathbb{A})$) such that $\\mathit{\\Sigma}_\\infty =
\\mathit{\\Sigma}_\\infty'$ and $\\mathit{\\Pi}_\\infty = \\mathit{\\Pi}_
\\infty'$. It is a consequence of Deligne's conjecture on critical $L$-val
ues that the ratio \n\\[\n\\frac{L(s\, \\mathit{\\Sigma} \\times \\mathit{
\\Pi}) \\cdot L(s\,\\mathit{\\Sigma}' \\times \\mathit{\\Pi}')}{L(s\,\\mat
hit{\\Sigma} \\times \\mathit{\\Pi}')\\cdot L(s\,\\mathit{\\Sigma}' \\time
s \\mathit{\\Pi})}\n\\]\nis algebraic and Galois-equivariant at critical p
oints.\nWe show that this assertion holds under certain parity and regular
ity conditions.\nAs applications\, we prove Deligne's conjecture for some
tensor product $L$-functions and symmetric odd power $L$-functions for $\\
mathrm{GL}_2$.\n\nZoom ID：817 4314 0004\n\nZoom password：199319\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandeep Varma (Tata Institute of Fundamental Research)
DTSTART:20220406T023000Z
DTEND:20220406T033000Z
DTSTAMP:20260404T111101Z
UID:POINTS/29
DESCRIPTION:Title: On residues of certain intertwining operators\nby Sandeep Varma
(Tata Institute of Fundamental Research) as part of POINTS - Peking Onlin
e International Number Theory Seminar\n\n\nAbstract\nLet $G$ be a connecte
d reductive group over a finite extension $F$ of $\\mathbb{Q}_p$. Let $P =
MN$ be a Levi decomposition of a maximal parabolic subgroup of $G$\, and
$\\pi$ an irreducible unitary supercuspidal representation of $M(F)$. One
can then consider the representation $Ind_{P(F)}^{G(F)} \\pi$ (normalized
parabolic induction). Assume that $P$ is conjugate to an opposite by an el
ement $w_0 \\in G(F)$ that normalizes $M$\, and which fixes the isomorphis
m class of $\\pi$ (i.e.\, $\\pi \\cong \\\,^{w_0}\\pi$). Then\, by the wor
k of Harish-Chandra\, $Ind_{P(F)}^{G(F)} \\pi$ is irreducible if and only
if a certain family $A(s\, \\pi\, w_0)$ of so called intertwining operator
s has a pole at $s = 0$. In this case\, after making certain choices\, the
residue of $A(s\, \\pi\, w_0)$ at $s = 0$ can be captured by a scalar $R(
\\tilde \\pi) \\in \\mathbb{C}$\, which has a conjectural expression in te
rms of some gamma factors related to Shahidi's local coefficients\, as des
cribed by Arthur's local intertwining relation.\n\nFollowing a program pio
neered by Freydoon Shahidi\, and furthered by him as well as David Goldber
g\, Steven Spallone\, Wen-Wei Li\, Li Cai\, Bin Xu\, Xiaoxiang Yu etc.\, o
ne seeks to:\n\n(a) get explicit expressions to describe $R(\\tilde \\pi)$
\; and\n(b) interpret the resulting expression for $R(\\tilde \\pi)$ suit
ably\, using the theory of endoscopy when applicable.\n\nSo far\, these qu
estions have been studied mostly for classical (including unitary) groups\
, or in some simple situations. We will discuss (a) above in a non-classic
al and slightly "less simple" situation\, in the cases where $G$ is an alm
ost simple group whose absolute root system is of exceptional type or of t
ype $B_n$ with $n \\geq 3$ or $D_n$ with $n \\geq 4$\, and where $P$ is a
"Heisenberg parabolic subgroup". We will then comment on what we can say o
f (b) above in the $G_2$\, $B_3$ and $D_4$ cases. Though the reducibility
results and the $R(\\tilde \\pi)$ values are more or less already known in
these cases by the Langlands-Shahidi method and related results (e.g.\, t
he work of Henniart and Lomeli and Caihua Luo in the case of $D_4$)\, our
investigations also suggest the existence of harmonic analytic expressions
for certain gamma values\, which in some cases just amount to the formal
degree conjecture of Ichino\, Ikeda and Hiraga\, but in other cases seem s
lightly unwieldy and perhaps intriguing.\n\nZoom link: https://us02web.zoo
m.us/j/81501452154?pwd=OWVtRmU0bFpoMEY3OUxrVW04STFJQT09\n\nZoom number: 81
5 0145 2154\n\nZoom password: 363804\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Petrov (Harvard University)
DTSTART:20220330T020000Z
DTEND:20220330T033000Z
DTSTAMP:20260404T111101Z
UID:POINTS/30
DESCRIPTION:Title: On arithmetic characterization of local systems of geometric origin
\nby Alexander Petrov (Harvard University) as part of POINTS - Peking
Online International Number Theory Seminar\n\n\nAbstract\nI will talk abou
t the problem of classifying local systems of geometric origin on algebrai
c varieties over complex numbers.\n\nConjecture: For a smooth algebraic va
riety \\(S\\) over a finitely generated field \\(F\\) \, a semi-simple \\(
\\mathbb{Q}_l\\)-local system on \\(S_{\\bar{F}}\\) is of geometric origin
if and only if it extends to a local system on \\(S_{F'} \\) for a finite
extension \\(F' \\supset F\\) .\n\nMy main goal will be to provide motiva
tion for this conjecture arising from the Fontaine-Mazur conjecture\, and
survey known results and related problems.\n\nZoom number: 827 4915 3248\n
\nZoom password: 623413\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ben Heuer (Universität Bonn)
DTSTART:20220413T073000Z
DTEND:20220413T083000Z
DTSTAMP:20260404T111101Z
UID:POINTS/31
DESCRIPTION:Title: Moduli spaces in p-adic non-abelian Hodge theory\nby Ben Heuer
(Universität Bonn) as part of POINTS - Peking Online International Number
Theory Seminar\n\n\nAbstract\nIn analogy to Simpson's non-abelian Hodge t
heory over the complex numbers\, the p-adic Simpson correspondence over no
n-archimedean fields like \\(C_p\\) aims to relate p-adic representations
of the étale fundamental group of a smooth proper rigid space \\(X\\) to
Higgs bundles on \\(X\\). In this talk\, I will introduce p-adic moduli sp
aces for either side of the correspondence\, and explain how these can be
compared by way of a non-abelian generalisation of the Hodge-Tate sequence
. This allows one to construct new geometric incarnations of the p-adic Si
mpson correspondence\, and to interpret the choices necessary for its form
ulation in a geometric fashion.\n\nZoom ID: 818 0595 3631\n\nZoom password
: 746304\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haoyang Guo (Max-Planck-Institut für Mathematik)
DTSTART:20220420T073000Z
DTEND:20220420T083000Z
DTSTAMP:20260404T111101Z
UID:POINTS/32
DESCRIPTION:Title: Prismatic approach to crystalline local systems\nby Haoyang Guo
(Max-Planck-Institut für Mathematik) as part of POINTS - Peking Online I
nternational Number Theory Seminar\n\n\nAbstract\nLet \\(X\\) be a smooth
proper scheme over a \\(p\\)-adic field such that \\(X\\) has a good reduc
tion. Inspired by the de Rham comparison theorem in complex geometry\, Gro
thendieck asked if there is a "mysterious functor" relating étale cohomol
ogy of the generic fiber and crystalline cohomology of the special fiber.
This question was answered by work of many people\, including Fontaine and
Faltings. In particular\, this motivates the definition of a \\(p\\)-adic
Galois representation being crystalline\, generalizing the étale cohomol
ogy of \\(X\\) as above. In this talk\, we will give an overview for the p
rismatic approach of Bhatt-Scholze on crystalline representations. Moreove
r\, jointly with Emanuel Reinecke\, we will consider the higher dimensiona
l generalization of this approach on crystalline local systems.\n\nZoom ID
: 818 0595 3631\n\nZoom password: 746304\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hongjie Yu (IST Austria)
DTSTART:20220427T073000Z
DTEND:20220427T083000Z
DTSTAMP:20260404T111101Z
UID:POINTS/33
DESCRIPTION:Title: Number of irreducible representations in the cuspidal automorphic s
pectrum\nby Hongjie Yu (IST Austria) as part of POINTS - Peking Online
International Number Theory Seminar\n\n\nAbstract\nLet \\(G\\) be a reduc
tive group defined and split over a global function field. We are interest
ed in the sum of multiplicities of irreducible representations containing
a regular depth zero representation of \\(G(O)\\)\, where \\(O\\) is the r
ing of integral adeles\, in the automorphic cuspidal spectrum. The sum is
expressed in terms of the number of \\(\\mathbb{F}_q\\)-points of Hitchin
moduli spaces of groups associated to \\(G\\). When \\( G=GL(n) \\)\, it i
mplies some cases of Deligne's conjecture by Langlands correspondence.\n\n
Zoom info: TBA\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Romanov (University of New South Wales)
DTSTART:20220511T070000Z
DTEND:20220511T083000Z
DTSTAMP:20260404T111101Z
UID:POINTS/34
DESCRIPTION:Title: A Soergel bimodule approach to the character theory of real groups<
/a>\nby Anna Romanov (University of New South Wales) as part of POINTS - P
eking Online International Number Theory Seminar\n\n\nAbstract\nAdmissible
representations of real reductive groups are a key player in the world of
unitary representation theory. The characters of irreducible admissible r
epresentations were described by Lustig-Vogan in the 80's in terms of a ge
ometrically-defined module over the associated Hecke algebra. In this talk
\, I'll describe a categorification of a block of the LV module using Soer
gel bimodules.\n\nZoom ID: 820 4104 2066\n\nZoom password: 456409\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chung Pang Mok (Soochow University)
DTSTART:20220415T023000Z
DTEND:20220415T040000Z
DTSTAMP:20260404T111101Z
UID:POINTS/35
DESCRIPTION:Title: Pseudorandom Vectors Generation Using Elliptic Curves And Applicati
ons to Wiener Processes\nby Chung Pang Mok (Soochow University) as par
t of POINTS - Peking Online International Number Theory Seminar\n\n\nAbstr
act\nUsing the arithmetic of elliptic curves over finite fields\, we prese
nt an algorithm for the efficient generation of sequence of uniform pseudo
random vectors in high dimension with long period\, that simulates sample
sequence of a sequence of independent identically distributed random varia
bles\, with values in the hypercube $[0\,1]^d$ with uniform distribution.
As an application\, we obtain\, in the discrete time simulation\, an effic
ient algorithm to simulate\, uniformly distributed sample path sequence of
a sequence of independent standard Wiener processes.\n\nZoom ID: 873 3108
4904\n\nZoom password: 750799\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Frahm (Aarhus Universitet)
DTSTART:20220518T070000Z
DTEND:20220518T083000Z
DTSTAMP:20260404T111101Z
UID:POINTS/36
DESCRIPTION:Title: Analytic continuation of branching laws for unitary representations
\nby Jan Frahm (Aarhus Universitet) as part of POINTS - Peking Online
International Number Theory Seminar\n\n\nAbstract\nBranching problems ask
for the behaviour of the restriction of an irreducible representation of a
group $G$ to a subgroup $H$. In the context of smooth representations of
real reductive groups\, this typically leads to the study of multiplicitie
s with which an irreducible representation of $H$ occurs as a quotient of
an irreducible representation of $G$. Here\, both quantitative results suc
h as multiplicity-one theorems and qualitative results such as the Gan-Gro
ss-Prasad conjectures are of interest.\n\nIn the context of unitary repres
entations of real reductive groups\, one can go a step further and explici
tly decompose an irreducible representation of $G$ into a direct integral
of irreducible representations of $H$. I will explain how branching laws f
or unitary representations are related to those in the smooth category\, a
nd how one can use an analytic continuation procedure along a principal se
ries parameter to obtain explicit branching laws from certain Plancherel f
ormulas for homogeneous spaces.\n\nZoom ID: 863 3902 9748\n\nZoom password
: 831352\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cheng Chen (University of Minnesota)
DTSTART:20220601T113000Z
DTEND:20220601T123000Z
DTSTAMP:20260404T111101Z
UID:POINTS/37
DESCRIPTION:Title: The local Gross-Prasad conjecture over archimedean local fields
\nby Cheng Chen (University of Minnesota) as part of POINTS - Peking Onlin
e International Number Theory Seminar\n\n\nAbstract\nThe local Gross-Prasa
d conjecture is a refinement of the multiplicity one theorem for spherical
pairs of Bessel type defined by a pair of special orthogonal groups. The
conjecture shows that there is exactly one representation having multiplic
ity equal to one in each Vogan packet (with generic parameter) and it also
depicts this unique representation with an epsilon character. I will intr
oduce some recent progress for the conjecture over \\(\\mathbb{R}\\) and \
\(\\mathbb{C}\\)\, part of the work was joint with Z. Luo. This local conj
ecture is a necessary ingredient for the global Gross-Prasad conjecture. B
esides\, the codimension-one case of the conjecture is closely related to
the branching problem for special orthogonal groups.\n\nZoom ID: 852 3108
0387\n\nZoom password: 625020\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masatosho Kitagawa (Waseda University)
DTSTART:20220824T060000Z
DTEND:20220824T070000Z
DTSTAMP:20260404T111101Z
UID:POINTS/38
DESCRIPTION:Title: Uniformly bounded multiplicities in the branching problem and D-mod
ules\nby Masatosho Kitagawa (Waseda University) as part of POINTS - Pe
king Online International Number Theory Seminar\n\n\nAbstract\nIn the repr
esentation theory of real reductive Lie groups\, several finiteness result
s of lengths and multiplicities are known and fundamental. The Harish-Chan
dra admissibility theorem and the finiteness of the length of Verma module
s and principal series representations are typical examples.\n\nMore preci
sely\, such multiplicities and lengths are bounded on some parameter sets.
T. Oshima and T. Kobayashi ('13 adv. math.) gave a criterion on which bra
nching laws have (uniformly) bounded multiplicities.\n\nIn arXiv:2109.0555
6\, I defined uniform boundedness of a family of $\\mathscr{D}$-modules (a
nd $\\mathfrak{g}$-modules) to treat the boundedness properties uniformly.
I will talk about its definition and applications. In particular\, I will
give a necessary and sufficient condition on uniform boundedness of multi
plicities in the branching problem of real reductive Lie groups.\n\nZoom N
umber: 949 6559 4176\n\nZoom password: 071166\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lue Pan (Princeton University)
DTSTART:20220830T013000Z
DTEND:20220830T030000Z
DTSTAMP:20260404T111101Z
UID:POINTS/39
DESCRIPTION:Title: Regular de Rham Galois representations in the completed cohomology
of modular curves\nby Lue Pan (Princeton University) as part of POINTS
- Peking Online International Number Theory Seminar\n\nLecture held in 77
201\, BICMR.\n\nAbstract\nLet $p$ be a prime. I want to explain how to use
the geometry of modular curves at infinite level and Hodge-Tate period ma
p to study $p$-adic regular de Rham Galois representations appearing in th
e $p$-adically completed cohomology of modular curves. We will show that t
hese Galois representations up to twists come from modular forms and give
a geometric description of the locally analytic representations of $\\math
rm{GL}_2(\\mathbb{Q}_p)$ associated to them. These results were previously
known by totally different methods.\n\nZoom ID = 953 6788 4415\n\nZoom pa
ssword = 373352\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Arthur-César Le Bras (CNRS - IRMA Strasbourg)
DTSTART:20220914T070000Z
DTEND:20220914T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/40
DESCRIPTION:Title: A Fourier transform for Banach-Colmez spaces\nby Arthur-César
Le Bras (CNRS - IRMA Strasbourg) as part of POINTS - Peking Online Interna
tional Number Theory Seminar\n\n\nAbstract\nI will explain how to define a
n \\(\\ell\\)-adic Fourier transform for Banach-Colmez spaces and discuss
some examples. This is a joint work with Anschütz\, which was motivated
by the study of Fargues' geometrization conjecture for \\(\\mathrm{GL}_n\\
).\n\nZoom number: 921 5562 6500\n\nPassword: 760747\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhiyou Wu (BICMR)
DTSTART:20220921T053000Z
DTEND:20220921T070000Z
DTSTAMP:20260404T111101Z
UID:POINTS/41
DESCRIPTION:Title: S=T for Shimura varieties\nby Zhiyou Wu (BICMR) as part of POIN
TS - Peking Online International Number Theory Seminar\n\n\nAbstract\nI wi
ll explain how the new $p$-adic geometry developed by Scholze can help pro
ve the Eichler-Shimura relation for Shimura varieties of Hodge type\, whic
h has nothing to do with $p$-adic geometry a priori.\n\nZoom number: 916 4
653 8894\n\nPassword: 275417\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xinwen Zhu (Stanford University)
DTSTART:20221019T053000Z
DTEND:20221019T063000Z
DTSTAMP:20260404T111101Z
UID:POINTS/42
DESCRIPTION:Title: The p-adic Borel hyperbolicity of A_g\nby Xinwen Zhu (Stanford
University) as part of POINTS - Peking Online International Number Theory
Seminar\n\n\nAbstract\nA theorem of Borel says that any holomorphic map fr
om a smooth complex algebraic variety to a smooth arithmetic variety is au
tomatically an algebraic map. The key ingredient is to show that any holom
orphic map from the punctured disc to the arithmetic variety has no essent
ial singularity. I will discuss some work towards a p-adic analogue of thi
s theorem for Shimura varieties of Hodge type. Joint with Abhishek Oswal a
nd Ananth Shankar.\n\nZoom ID: 995 9287 0950\n\nZoom password: 311062\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haoyang Guo (MPIM)
DTSTART:20221026T070000Z
DTEND:20221026T080000Z
DTSTAMP:20260404T111101Z
UID:POINTS/43
DESCRIPTION:Title: Prismatic approach to Fontaine's C_crys conjecture\nby Haoyang
Guo (MPIM) as part of POINTS - Peking Online International Number Theory S
eminar\n\n\nAbstract\nGiven a smooth proper scheme over a \\(p\\)-adic rin
g of integers\, Fontaine's \\(C_{\\mathrm{crys}}\\) conjecture says that t
he étale cohomology of its generic fiber is isomorphic to the crystalline
cohomology of its special fiber\, after base changing them to the crystal
line period ring. In this talk\, we give a prismatic proof of the conjectu
re\, for general coefficients\, in the relative setting\, and allowing ram
ified base rings. This is a joint work with Emanuel Reinecke.\n\nLink: htt
ps://zoom.us/j/7437362326?pwd=UXd3RzBiUWZNK2Vhdm05R0c5VlJEUT09\n\nZoom ID:
743 736 2326\n\nZoom password: 013049\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Scheidegger (BICMR)
DTSTART:20221102T053000Z
DTEND:20221102T063000Z
DTSTAMP:20260404T111101Z
UID:POINTS/44
DESCRIPTION:Title: Aspects of modularity for Calabi-Yau threefolds\nby Emanuel Sch
eidegger (BICMR) as part of POINTS - Peking Online International Number Th
eory Seminar\n\n\nAbstract\nWe give an overview of some mostly conjectural
aspects of modularity for Calabi-Yau threefolds. We focus on one paramete
r families of hypergeometric type and give computational results in terms
of classical modular forms. In one case we show an explicit correspondence
.\n\nLink: https://zoom.us/j/7437362326?pwd=UXd3RzBiUWZNK2Vhdm05R0c5VlJEUT
09\n\nZoom ID: 743 736 2326\n\nZoom password: 013049\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Breuil (CNRS - Orsay)
DTSTART:20221130T080000Z
DTEND:20221130T090000Z
DTSTAMP:20260404T111101Z
UID:POINTS/45
DESCRIPTION:Title: Multivariable (phi\, Gamma)-modules and modular representations of
Galois and GL2\nby Christophe Breuil (CNRS - Orsay) as part of POINTS
- Peking Online International Number Theory Seminar\n\n\nAbstract\nLet \\(
p\\) be a prime number\, \\(K\\) a finite unramified extension of \\(\\mat
hbf{Q}_p\\)\, and \\(\\pi\\) a smooth representation of \\(\\mathrm{GL}_2(
K)\\) on some Hecke eigenspace in the \\(H^1\\) mod \\(p\\) of a Shimura c
urve. One can associate to \\(\\pi\\) a multivariable \\( (\\phi\, O_K^*)\
\)-module \\(D_A(\\pi) \\). I will state a conjecture which describes \\(
D_A(\\pi) \\) in terms of the underlying 2-dimensional mod \\(p\\) represe
ntation of \\(\\mathrm{Gal}(\\bar{K}/K)\\). When the latter is semi-simple
(sufficiently generic)\, I will sketch a proof of this conjecture. This i
s joint work with F. Herzig\, Y. Hu\, S. Morra and B. Schraen.\n\nZoom num
ber: 743 736 2326\n\nZoom password: 013049\n
LOCATION:https://stable.researchseminars.org/talk/POINTS/45/
END:VEVENT
END:VCALENDAR