Poles of triple tensor product L-functions involving monomial representations

Heekyoung Hahn (Duke University)

18-Nov-2020, 11:00-12:00 (3 years ago)

Abstract: **PLEASE NOTE THE UNUSUAL TIME**

Little is known about the order of poles of triple tensor product $L$-functions in higher rank. In this talk we will investigate the order of the pole of the triple tensor product $L$-functions $L(s,\pi_1\times\pi_2\times\pi_3,\otimes^3)$ for cuspidal automorphic representations $\pi_i$ of $\GL_{n_i}(\mathbb{A}_F)$ in the setting where one of the $\pi_i$ is a monomial representation. In the view of Brauer theory, this is a natural setting to consider. The results provided in this talk give examples that can be used as a point of reference for Langlands' beyond endoscopy proposal.

number theory

Audience: researchers in the topic


Heilbronn number theory seminar

Series comments: This is part of the University of Bristol's Heilbronn number theory seminar. If you wish to attend the talk (and are not a Bristolian), please register using this form or email us at bristolhnts@gmail.com with your name and affiliation (if any).

We will email out the link to all registered participants the day before.

Organizers: Min Lee*, Dan Fretwell, Oleksiy Klurman
*contact for this listing

Export talk to