Time:14:00-15:00, Wednesday, Spetember 13 2023
Venue:E4-233 & ZOOM
ZOOM ID: 921 6725 8223
Passcode:064984
Speaker:Universität Duisburg-Essen, Jie Lin
Title:Period Relations for Arithmetic Automorphic Periods on Unitary Groups
Abstract:Given an automorphic representation of a unitary group, one can define an arithmetic automorphic period as the Petersson inner product of a deRham rational form. Here the deRham rational structure comes from the cohomology of Shimura varieties. When the form is holomorphic, the period can be related to special values of L-functions and is better understood. In this talk, we formulate a conjecture on relations among general arithmetic periods of representations in the same L-packet and explain a conditional proof.