BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Kenichi Bannai (Keio University/RIKEN)
DTSTART:20200527T083000Z
DTEND:20200527T093000Z
DTSTAMP:20260423T022714Z
UID:PPT/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PPT/3/">Shin
 tani generating class and the $p$-adic polylogarithm for totally real fiel
 ds</a>\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 <a href="https:
 //docs.google.com/forms/d/e/1FAIpQLSdJZfL8VvrFSFxGU77SvGb9y2-093Ntb6YUTjkJ
 Wx9pDf9gYw/viewform">form</a>.\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
END:VCALENDAR