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SUMMARY:Kenichi Bannai (Keio University/RIKEN)
DTSTART:20200527T083000Z
DTEND:20200527T093000Z
DTSTAMP:20260404T132229Z
UID:PPT/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/PPT/3
 /">Shintani generating class and the $p$-adic polylogarithm for totally re
 al fields</a>\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 <a href=
 "https://docs.google.com/forms/d/e/1FAIpQLSdJZfL8VvrFSFxGU77SvGb9y2-093Ntb
 6YUTjkJWx9pDf9gYw/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://stable.researchseminars.org/talk/PPT/3/
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