Time：14:00-15:00, Wednesday, December 20 2023
Venue：E4-233 & ZOOM
ZOOM ID: 992 9260 7327
Passcode：313936
Speaker：Bin Xu, Sichuan University
Title：Concrete constructions of automorphic representations and central values of L-functions
Abstract：The central values of L-functions play an important role in number theory and automorphic representation theory. In this talk, we will recall some relations among global packets, automorphic periods, and automorphic L-functions. Then, in the case of PGL(2), we will introduce a new approach to show the existence of different quadratic twists with non-zero central L-values. The new approach is based on concrete constructions of automorphic representations. This talk is based on a joint work with Baiying Liu.
