College of Liberal Arts & Sciences
Representation Theory Seminar
Speaker:
Yeongseong Jo
Topic:
The Rankin-Selberg integrals for local symmetric square $L$-functions on $GL(2)$ - Part III
Abstract:
We introduce the two main ingredients - exceptional and regular L-functions and Whittaker models associated to Bernstein-Zelevinsky's derivatives. Along the line of Cogdell and Piatetski-Shapiro, these enable us to compute local symmetric square $L$-functions for principal series representations (not necessarily unramified). This plays a crucial role in establishing the agreement of analytic and arithmetic $L$-functions on $GL(2)$.
URL: E-mail Muthu Krishnamurthy for Meeting ID
Event Date:
September 24, 2020 - 1:30pm to 2:20pm
Location:
Online
Calendar Category:
Seminar
Seminar Category:
Representation Theory