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SUMMARY:Arthur-César Le Bras (CNRS & Université Paris 13)
DTSTART:20200422T083000Z
DTEND:20200422T093000Z
DTSTAMP:20260404T094556Z
UID:PPT/1
DESCRIPTION:Title: Prismatic Dieudonné theory\nby Arthur-César Le Bras (CNRS & Unive
rsité Paris 13) as part of Beijing-Paris-Tokyo arithmetic geometry webina
r\n\nLecture held in Centre de conférences Marilyn et James Simons.\n\nAb
stract\nI would like to explain a classification result for p-divisible gr
oups\, which unifies many of the existing results in the literature. The m
ain tool is the theory of prisms and prismatic cohomology recently develop
ed by Bhatt and Scholze. This is joint work with Johannes Anschütz. http
://www.ihes.fr/~abbes/SGA/lebras.html\n
LOCATION:https://stable.researchseminars.org/talk/PPT/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Liu (Yale University)
DTSTART:20200513T083000Z
DTEND:20200513T093000Z
DTSTAMP:20260404T094556Z
UID:PPT/2
DESCRIPTION:Title: On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives\n
by Yifeng Liu (Yale University) as part of Beijing-Paris-Tokyo arithmetic
geometry webinar\n\n\nAbstract\nIn this talk\, we will explain the final o
utcome on the Beilinson-Bloch-Kato conjecture for motives coming from cert
ain automorphic representations of GL(n) x GL(n+1)\, of our recent project
with Yichao Tian\, Liang Xiao\, Wei Zhang\, and Xinwen Zhu. In particular
\, we show that the nonvanishing of the central L-value of the motive impl
ies the vanishing of the corresponding Bloch-Kato Selmer group. We will al
so explain the main ideas and ingredients of the proof.\n\n---------------
-\n\nTo follow this webinar\, please fill out the form below. The connecti
on link will be sent to you the day before by email at the address indicat
ed on this form.\n\nhttps://docs.google.com/forms/d/e/1FAIpQLSdJZfL8VvrFSF
xGU77SvGb9y2-093Ntb6YUTjkJWx9pDf9gYw/viewform\n
LOCATION:https://stable.researchseminars.org/talk/PPT/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenichi Bannai (Keio University/RIKEN)
DTSTART:20200527T083000Z
DTEND:20200527T093000Z
DTSTAMP:20260404T094556Z
UID:PPT/3
DESCRIPTION:Title: Shintani generating class and the $p$-adic polylogarithm for totally re
al fields\nby Kenichi Bannai (Keio University/RIKEN) as part of Beijin
g-Paris-Tokyo arithmetic geometry webinar\n\n\nAbstract\nIn this talk\, we
will give a new interpretation of Shintani's work concerning the generati
ng function of nonpositive values of Hecke L-functions for totally real fi
elds. In particular\, we will construct a canonical class\, which we call
the Shintani generating class\, in the cohomology of a certain quotient st
ack of an infinite direct sum of algebraic tori associated with a fixed to
tally real field. Using our observation that cohomology classes\, not func
tions\, play an important role in the higher dimensional case\, we proceed
to newly define the p-adic polylogarithm function in this case\, and inve
stigate its relation to the special value of p-adic Hecke L-functions. Som
e observations concerning the quotient stack will also be discussed. This
is a joint work with Kei Hagihara\, Kazuki Yamada\, and Shuji Yamamoto.\n\
nIn this time of confinement\, the Beijing-Paris-Tokyo Arithmetic Geometry
Seminar turns into a webinar. To follow it\, please fill out the form.\n\nThe connection link will be sent
to you the day before the webinar by email at the address indicated on the
form.\n
LOCATION:https://stable.researchseminars.org/talk/PPT/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Breuil (CNRS\, Université Paris-Sud)
DTSTART:20200617T083000Z
DTEND:20200617T093000Z
DTSTAMP:20260404T094556Z
UID:PPT/4
DESCRIPTION:Title: On modular representations of GL_2(L) for unramified L\nby Christop
he Breuil (CNRS\, Université Paris-Sud) as part of Beijing-Paris-Tokyo ar
ithmetic geometry webinar\n\n\nAbstract\nLet p be a prime number and L a f
inite unramified extension of Q_p. We give a survey of past and new result
s on smooth admissible representations of GL_2(L) that appear in mod p coh
omology. This is joint work with Florian Herzig\, Yongquan Hu\, Stefano Mo
rra and Benjamin Schraen.\n\nThe organizers of the Beijing-Paris-Tokyo Ari
thmetic Geometry Seminar stands in solidarity with our black colleagues\,
in the US and around the world\, in the struggle against the plague of sys
temic racism. In response to the call launched by #ShutDownAcademia\, #Shu
tDownStem and #Strike4BlackLives movements\, we decided\, in agreement wit
h the speaker\, to move Christophe Breuil's lecture from Wednesday June 10
to Wednesday June 17 at 10:30 am (Paris). The lecture will be given by we
binar. If you have not yet registered\, you can do so by filling in the fo
rm below before June 16.\n
LOCATION:https://stable.researchseminars.org/talk/PPT/4/
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