5月27日巴黎北京东京算术几何讨论班注册

时间:2020年5月27日(周三)16:30—17:30(北京时间)
报告人:坂内健一(Kenichi Bannai 慶應義塾/理研)
题目:Shintani generating class and the p-adic polylogarithm for totally real fields
摘要:
In this talk, we will give a new interpretation of Shintani's work concerning the generating function of nonpositive values of Hecke L-functions for totally real fields. In particular, we will construct a canonical class, which we call the Shintani generating class, in the cohomology of a certain quotient stack of an infinite direct sum of algebraic tori associated with a fixed totally real field. Using our observation that cohomology classes, not functions, play an important role in the higher dimensional case, we proceed to newly define the p-adic polylogarithm function in this case, and investigate its relation to the special value of p-adic Hecke L-functions. Some observations concerning the quotient stack will also be discussed.

This is a joint work with Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto.

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