The number of cuspidal representations over a function field and its behavior under base changes

開催日時
2025/11/28 金 13:30 - 14:30
場所
3号館552号室
講演者
深山拓郎
講演者所属
東京大学
概要

Cuspidal representations of a reductive group are largely determined by their local components. In the function field case, it is important to describe how the number of cuspidal representations with given local conditions changes under base changes. Assuming Arthur's simple trace formula for function fields, this number should be given by the sum of Gross's L-functions attached to some reductive groups. In this talk, I will explain the expression of the sum of L-functions and its behavior under base changes for some classical groups.