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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Yupeng Wang (Chinese Academy of Sciences)
DTSTART:20230315T070000Z
DTEND:20230315T080000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/1
DESCRIPTION:Title: Integral p-adic non-abelian Hodge theory for small representations\nby Yupeng Wang (Chinese Academy of Sciences) as part of PKU/BICMR Numb
er Theory Seminar\n\nLecture held in Room 77201\, BICMR.\n\nAbstract\nThe
abstract rendered in LaTeX is available on https://wwli.asia/index.php/en/
seminars-item-en/points2023-item-en\n\nZoom ID: 743 736 2326\n\nZoom Passw
ord: 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Li Lai (Tsinghua University)
DTSTART:20230405T073000Z
DTEND:20230405T083000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/2
DESCRIPTION:Title: On the irrationality of certain 2-adic zeta values\nby Li Lai (T
singhua University) as part of PKU/BICMR Number Theory Seminar\n\nLecture
held in Room 77201\, BICMR.\n\nAbstract\nLet $\\zeta_2(\\cdot)$ be the Kub
ota-Leopoldt $2$-adic zeta function. We prove that\, for every nonnegative
integer $s$\, there exists an odd integer $j$ in the interval $[s+3\,3s+5
]$ such that $\\zeta_2(j)$ is irrational. In particular\, at least one of
$\\zeta_2(7)\,\\zeta_2(9)\,\\zeta_2(11)\,\\zeta_2(13)$ is irrational.\n\nO
ur approach is inspired by the recent work of Sprang. We construct explici
t rational functions. The Volkenborn integrals of the (higher order) deriv
atives of these rational functions produce good linear combinations of $1$
and $2$-adic Hurwitz zeta values. The most difficult step is to prove tha
t certain Volkenborn integrals are nonzero\, which is resolved by careful
manipulation of the binomial coefficients.\n\nZoom number: 743 736 2326\n\
nPassword: 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fan Gao (Zhejiang University)
DTSTART:20230412T073000Z
DTEND:20230412T083000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/3
DESCRIPTION:Title: Some satisfactory and unsatisfactory aspects of the dual groups for
central covers\nby Fan Gao (Zhejiang University) as part of PKU/BICMR
Number Theory Seminar\n\nLecture held in Room 77201\, BICMR.\n\nAbstract\n
We consider finite degree central covers of a linear reductive group in th
e local setting. Using some examples as the highlights\, we will explain t
he dual group of such a central cover\, and illustrate how much it capture
s the representation-theoretic information of the central cover\, and also
how much it fails for the same purpose. We concentrate on two aspects of
a representation: formal degree and wavefront set.\n\nZoom number: 743 736
2326\nZoom password: 013049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:King Fai Lai
DTSTART:20230426T073000Z
DTEND:20230426T083000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/4
DESCRIPTION:Title: A remark on homological algebra\nby King Fai Lai as part of PKU/
BICMR Number Theory Seminar\n\nLecture held in Room 77201\, BICMR.\n\nAbst
ract\n(The talk is supposed to be in Chinese\, beamer-based)\n\n谈一谈
关于非交换环的同调代数的几方面。\n\nZoom number: 743 736 2
326\n\nZoom password: 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Koji Shimizu (YMSC)
DTSTART:20230531T073000Z
DTEND:20230531T083000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/6
DESCRIPTION:Title: Robba site and Robba cohomology\nby Koji Shimizu (YMSC) as part
of PKU/BICMR Number Theory Seminar\n\nLecture held in Room 77201\, BICMR.\
n\nAbstract\nWe will discuss a $p$-adic cohomology theory for rigid analyt
ic varieties with overconvergent structure (dagger spaces) over a local fi
eld of characteristic $p$. After explaining the motivation\, we will defin
e a site (Robba site) and discuss its basic properties.\n\nFor online or h
ybrid talks\, the Zoom number is 743 736 2326\, and the password is 013049
.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Juan Esteban Rodríguez Camargo (Max-Planck-Institut für Mathemat
ik)
DTSTART:20230517T070000Z
DTEND:20230517T083000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/7
DESCRIPTION:Title: Solid locally analytic representations (Joint with Joaquín Rodrigue
s Jacinto)\nby Juan Esteban Rodríguez Camargo (Max-Planck-Institut f
ür Mathematik) as part of PKU/BICMR Number Theory Seminar\n\nLecture held
in Room 77201\, BICMR.\n\nAbstract\nIn this talk I will introduce differe
nt categories of $p$-adic representations in the framework of condensed ma
thematics. We give different geometric interpretations to them\, construct
explicit adjunctions that serve to compare cohomology theories\, and see
an application to $p$-adic categorical local Langlands for $\\mathrm{GL}_1
$.\n\nOnline talk. The Zoom number is 743 736 2326\, and the password is 0
13049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Bett (Harvard University)
DTSTART:20230607T010000Z
DTEND:20230607T020000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/8
DESCRIPTION:Title: p-adic obstructions and Selmer sections\nby Alexander Bett (Harv
ard University) as part of PKU/BICMR Number Theory Seminar\n\n\nAbstract\n
In 1983\, shortly after Faltings' resolution of the Mordell Conjecture\, G
rothendieck formulated his famous Section Conjecture\, positing that the s
et of rational points on a projective curve Y of genus at least two should
be equal to a certain section set defined in terms of the etale fundament
al group of Y. To this day\, this conjecture remains wide open\, with only
a small handful of very special examples known. In this talk\, I will dis
cuss recent work with Jakob Stix\, in which we proved a Mordell-like finit
eness theorem for the "Selmer" part of the section set for any smooth proj
ective curve Y of genus at least 2 over the rationals. This generalises th
e Faltings-Mordell Theorem\, and implies strong constraints on the finite
descent locus from obstruction theory. The key new idea in our proof is an
adaptation of the recent proof of Mordell by Lawrence and Venkatesh to th
e study of the Selmer section set. Time permitting\, I will also briefly d
escribe recent work with Theresa Kumpitsch and Martin Lüdtke in which we
compute the Selmer section set in one example using the Chabauty-Kim metho
d.\n\nOnline only. The Zoom number is 743 736 2326\, and the password is 0
13049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rui Chen (Zhejiang University)
DTSTART:20230621T063000Z
DTEND:20230621T073000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/9
DESCRIPTION:Title: Ext-vanishing result for Gan-Gross-Prasad model\nby Rui Chen (Zh
ejiang University) as part of PKU/BICMR Number Theory Seminar\n\n\nAbstrac
t\nIn this talk we will show that the Ext-analogue of GGP model vanishes f
or tempered representations\, as conjectured by D. Prasad. As a corollary\
, this implies that the geometric multiplicity equals the Euler-Poincare c
haracteristic.\n\nthe Zoom number is 743 736 2326\, and the password is 01
3049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lie Qian (Stanford University)
DTSTART:20230719T010000Z
DTEND:20230719T020000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/10
DESCRIPTION:Title: Local Compatibility for Trianguline Representations\nby Lie Qia
n (Stanford University) as part of PKU/BICMR Number Theory Seminar\n\nLect
ure held in Room 77201\, BICMR.\n\nAbstract\nTrianguline representations a
re a big class of $p$-adic representations that contain all nice enough (c
ristalline) ones but allow a continuous variation of weights. Global consi
deration suggests that the $GL_2(\\mathbb{Q}_p)$ representation arising fr
om a trianguline representation should have nonzero eigenspace under Emert
on's Jacquet functor. We prove this result using purely local method as we
ll as a generalization to $p$-adic representation of $G_F$ for $F$ unramif
ied over $\\mathbb{Q}_p$.\n\nFor online or hybrid talks\, the Zoom number
is 743 736 2326\, and the password is 013049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiajun Ma (Xiamen University)
DTSTART:20230904T070000Z
DTEND:20230904T080000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/11
DESCRIPTION:Title: Applications of Hecke Algebra in the Representation of Reductive Gr
oups\nby Jiajun Ma (Xiamen University) as part of PKU/BICMR Number The
ory Seminar\n\nLecture held in Room 77201\, BICMR.\n\nAbstract\nConsider a
reductive linear algebraic group G. Let H be the generic Hecke algebra a
ttached to the Weyl group of G. The representations of G and H have many d
eep connections. In this talk\, I will discuss our two recent works where
Hecke algebras play a crucial role: \n 1. Counting special unipotent repr
esentations of real reductive groups\n 2. Determining the theta correspon
dence over finite fields.\nI will also discuss the analog picture in the t
heta correspondence over p-adic fields when time permits.\n\nHybrid talk\n
\nZoom livestream: ID 743 736 2326 / Password 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Chenji Fu (Bonn University)
DTSTART:20230913T060000Z
DTEND:20230913T070000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/12
DESCRIPTION:Title: Explicit categorical mod l local Langlands correspondence for depth
-zero supercuspidal part of GL_2\nby Chenji Fu (Bonn University) as pa
rt of PKU/BICMR Number Theory Seminar\n\nLecture held in Room 77201\, BICM
R.\n\nAbstract\nLet $F$ be a non-archimedean local field. I will explicitl
y describe:\n\n(1) (The category of quasicoherent sheaves on) The connecte
d component of the moduli space of Langlands parameters over $\\overline{\
\mathbb{Z}_l}$ containing an irreducible tame L-parameter with $\\overline
{\\mathbb{F}_l}$ coefficients\;\n(2) the block of the category of smooth r
epresentations of $G(F)$ with $\\overline{\\mathbb{Z}_l}$ coefficients con
taining a depth-zero supercuspidal representation with $\\overline{\\mathb
b{F}_l}$ coefficients.\n\nThe argument works at least for (simply connecte
d) split reductive group $G$\, but I will focus on the example of $\\mathr
m{GL}_2$ for simplicity. The two sides turn out to match abstractly. If ti
me permits\, I will explain how to get the categorical local Langlands cor
respondence for depth-zero supercuspidal part of $\\mathrm{GL}_2$ with $\\
overline{\\mathbb{Z}_l}$ coefficients in Fargues-Scholze's form.\n\nHybrid
talk\n\nZoom livestream: ID 743 736 2326 / Password 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Haruzo Hida (UCLA)
DTSTART:20231011T070000Z
DTEND:20231011T080000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/13
DESCRIPTION:Title: Adjoint L-value formula and Period conjecture\nby Haruzo Hida (
UCLA) as part of PKU/BICMR Number Theory Seminar\n\nLecture held in Room 7
7201\, BICMR.\n\nAbstract\nFor a Hecke eigenform $f$\, we state an adjoin
t L-value formula relative to each division quaternion algebra $D$ over
${\\mathbb Q}$ with discriminant $\\partial$ and reduced norm $N$. A ke
y to prove the formula is the theta correspondence for the quadratic ${\\m
athbb Q}$-space $(D\,N)$. Under the $R=T$-theorem\, the $p$-part of the B
loch-Kato conjecture is known\; so\, the formula is an adjoint Selmer clas
s number formula. We also describe how to relate the formula to a conjectu
re on periods of Shimura subvarieties of quaternionic Shimura varieties.\n
\nZoom number: 743 736 2326\n\nZoom password: 013049\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Weixiao Lu (MIT)
DTSTART:20240104T070000Z
DTEND:20240104T080000Z
DTSTAMP:20260404T094702Z
UID:PekiNT/14
DESCRIPTION:Title: Fourier-Jacobi period on unitary group\nby Weixiao Lu (MIT) as
part of PKU/BICMR Number Theory Seminar\n\nLecture held in Room 77201\, BI
CMR.\n\nAbstract\nWe formulate coarse spectral and geometric expansion of
relative trace formula developed by Yifeng Liu and Hang Xue，and prove GG
P conjectures for Fourier-Jacobi period for unitary groups with arbitrary
corank as a consequence. This is a joint work with Hang Xue and Paul Boiss
eau.\n\nThe Zoom number is 743 736 2326\, and the password is 013049.\n
LOCATION:https://stable.researchseminars.org/talk/PekiNT/14/
END:VEVENT
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