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 II

**Abstract: **

We construct the Rankin-Selberg-Shimura type zeta integrals for symmetric square $L$-functions on $GL$(2) by Yamana, which is in turn based on the work of Gelbart-Jacquet, Bump-Ginzburg and Takeda. To define the $L$-function, which is given by so called the "greatest common divisor" (gcd) of a family of integrals, it is required to utilize "good sections" developed by Piatetski-Shapiro and Rallis. With this in hand, we present local gamma, epsilon factors and the functional equation over finite ramified places.

**URL:** E-mail Muthu Krishnamurthy for Meeting ID

Event Date:

September 17, 2020 - 1:30pm to 2:20pm

Location:

Online

Calendar Category:

Seminar

Seminar Category:

Representation Theory