Local converse theorems for simple supercuspidal representations

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, October 8, 2019 - 4:15pm
Location: 
LOM 205
Speaker: 
Rongqing Ye
Speaker affiliation: 
Purdue University
Event description: 

Abstract: Typically local converse theorems are done using the Rankin-Selberg gamma factors, but in this talk we will follow a conjecture of Ramakrishnan to present a new kind of local converse theorems using twisted exterior power gamma factors. We then prove a local converse theorem for simple supercuspidal representations using twisted exterior square gamma factors. This is joint work with Elad Zelingher.