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SUMMARY:Arthur-César Le Bras (CNRS & Université Paris 13)
DTSTART:20200422T083000Z
DTEND:20200422T093000Z
DTSTAMP:20260422T212725Z
UID:PPT/1
DESCRIPTION:Title: Pris
matic Dieudonné theory\nby Arthur-César Le Bras (CNRS & Université
Paris 13) as part of Beijing-Paris-Tokyo arithmetic geometry webinar\n\nLe
cture held in Centre de conférences Marilyn et James Simons.\n\nAbstract\
nI would like to explain a classification result for p-divisible groups\,
which unifies many of the existing results in the literature. The main too
l is the theory of prisms and prismatic cohomology recently developed by B
hatt and Scholze. This is joint work with Johannes Anschütz. http://www.
ihes.fr/~abbes/SGA/lebras.html\n
LOCATION:https://researchseminars.org/talk/PPT/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yifeng Liu (Yale University)
DTSTART:20200513T083000Z
DTEND:20200513T093000Z
DTSTAMP:20260422T212725Z
UID:PPT/2
DESCRIPTION:Title: On t
he Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives\nby Yife
ng Liu (Yale University) as part of Beijing-Paris-Tokyo arithmetic geometr
y webinar\n\n\nAbstract\nIn this talk\, we will explain the final outcome
on the Beilinson-Bloch-Kato conjecture for motives coming from certain aut
omorphic representations of GL(n) x GL(n+1)\, of our recent project with Y
ichao Tian\, Liang Xiao\, Wei Zhang\, and Xinwen Zhu. In particular\, we s
how that the nonvanishing of the central L-value of the motive implies the
vanishing of the corresponding Bloch-Kato Selmer group. We will also expl
ain the main ideas and ingredients of the proof.\n\n----------------\n\nTo
follow this webinar\, please fill out the form below. The connection link
will be sent to you the day before by email at the address indicated on t
his form.\n\nhttps://docs.google.com/forms/d/e/1FAIpQLSdJZfL8VvrFSFxGU77Sv
Gb9y2-093Ntb6YUTjkJWx9pDf9gYw/viewform\n
LOCATION:https://researchseminars.org/talk/PPT/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenichi Bannai (Keio University/RIKEN)
DTSTART:20200527T083000Z
DTEND:20200527T093000Z
DTSTAMP:20260422T212725Z
UID:PPT/3
DESCRIPTION:Title: Shin
tani generating class and the $p$-adic polylogarithm for totally real fiel
ds\nby Kenichi Bannai (Keio University/RIKEN) as part of Beijing-Paris
-Tokyo arithmetic geometry webinar\n\n\nAbstract\nIn this talk\, we will g
ive a new interpretation of Shintani's work concerning the generating func
tion of nonpositive values of Hecke L-functions for totally real fields. I
n particular\, we will construct a canonical class\, which we call the Shi
ntani generating class\, in the cohomology of a certain quotient stack of
an infinite direct sum of algebraic tori associated with a fixed totally r
eal field. Using our observation that cohomology classes\, not functions\,
play an important role in the higher dimensional case\, we proceed to new
ly define the p-adic polylogarithm function in this case\, and investigate
its relation to the special value of p-adic Hecke L-functions. Some obser
vations concerning the quotient stack will also be discussed. This is a jo
int work with Kei Hagihara\, Kazuki Yamada\, and Shuji Yamamoto.\n\nIn thi
s time of confinement\, the Beijing-Paris-Tokyo Arithmetic Geometry Semina
r 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://researchseminars.org/talk/PPT/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Christophe Breuil (CNRS\, Université Paris-Sud)
DTSTART:20200617T083000Z
DTEND:20200617T093000Z
DTSTAMP:20260422T212725Z
UID:PPT/4
DESCRIPTION:Title: On m
odular representations of GL_2(L) for unramified L\nby Christophe Breu
il (CNRS\, Université Paris-Sud) as part of Beijing-Paris-Tokyo arithmeti
c geometry webinar\n\n\nAbstract\nLet p be a prime number and L a finite u
nramified extension of Q_p. We give a survey of past and new results on sm
ooth admissible representations of GL_2(L) that appear in mod p cohomology
. This is joint work with Florian Herzig\, Yongquan Hu\, Stefano Morra and
Benjamin Schraen.\n\nThe organizers of the Beijing-Paris-Tokyo Arithmetic
Geometry Seminar stands in solidarity with our black colleagues\, in the
US and around the world\, in the struggle against the plague of systemic r
acism. In response to the call launched by #ShutDownAcademia\, #ShutDownSt
em and #Strike4BlackLives movements\, we decided\, in agreement with the s
peaker\, to move Christophe Breuil's lecture from Wednesday June 10 to Wed
nesday June 17 at 10:30 am (Paris). The lecture will be given by webinar.
If you have not yet registered\, you can do so by filling in the form belo
w before June 16.\n
LOCATION:https://researchseminars.org/talk/PPT/4/
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