$L$ -function for $\mathrm{Sp}(4) \times \mathrm{GL}(2)$ via a non-unique model

Seminar:

Algebra and Number Theory Seminar

Event time:

Tuesday, February 22, 2022 - 4:30pm

Speaker:

Pan Yan

Speaker affiliation:

Ohio State University

Event description:

We prove a conjecture of Ginzburg and Soudry (2020 IMRN) on an integral representation for the tensor product partial L-function for $\mathrm{Sp}(4) \times \mathrm{GL}(2)$ which is derived from the twisted doubling method of Cai, Friedberg, Ginzburg, and Kaplan. We show that the integral unfolds to a non-unique model and analyze it using the New Way method of Piatetski-Shapiro and Rallis.

Research Area(s):

Number Theory

Representation Theory

LL-function for Sp(4)×GL(2)\mathrm{Sp}(4) \times \mathrm{GL}(2) via a non-unique model

$L$ -function for $\mathrm{Sp}(4) \times \mathrm{GL}(2)$ via a non-unique model