Prehomogeneous zeta functions and toric periods for inner forms of GL(2)

Abstract: I will explain a new application of prehomogeneous zeta functions to non-vanishing of periods of automorphic forms. The zeta functions we use were first introduced by F. Sato and a general theory is developed by the recent work of Wen-Wei Li. They can be used to show non-vanishing of infinitely many toric periods of cuspidal representations of inner forms of $\mathrm{GL}(2)$. If time permits, I will mention future works based on the local theory of Wen-Wei Li. This is a joint work with Satoshi Wakatsuki.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

( paper )

Comments: Zoom ID = 691 6842 4338

PIN = 902454

Link: zoom.com.cn/j/69168424338?pwd=Tms3bnlBRWl0V1htMVV5dTZSZk9qQT09

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POINTS - Peking Online International Number Theory Seminar

Series comments: Description: Seminar on number theory and related topics

This seminar series is sponsored by the Beijing International Center of Mathematical Research (BICMR) and the School of Mathematical Sciences of Peking University.

The conference number and password are available on the external website. See also the announcements on bicmr.pku.edu.cn

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