L -function for Sp(4)×GL(2) via a non-unique model

Tue Feb 22, 2022 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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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 Sp(4)×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