Mon, March 5, 2018
4:15 pm - 5:15 pm
Math Tower 154
Title: Local converse theorem for unitary groups
Speaker: Qing Zhang (Sun Yat-Sen University, China)
Abstract: Local converse theorem says that an irreducible generic representation of a classical group over a p-adic field should be determined by its various local gamma factors twisting with GL_n. In this talk, I will describe a sketch of a proof of local converse theorems for quasi-split unitary groups. A main ingredient of the proof is certain properties of partial Bessel functions developed by Cogdell-Shahidi-Tsai.
Seminar URL: https://research.math.osu.edu/numbertheory/number.php