Algebraicity of critical values of automorphic L-functions: Examples and Conjectures

Abstract: In this talk, we introduce some algebraicity results on the critical values of automorphic $L$-functions. The techniques in these examples are integral representation of automorphic $L$-functions, constant terms of Eisenstein series, and their cohomological interpretations. These results are compatible with Clozel's conjecture on existence of motives associated to algebraic cuspidal automorphic representations of general linear groups and Deligne's conjecture on algebraicity of critical values of motivic $L$-functions.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Comments: Zoom ID：817 4314 0004

Zoom PW：199319

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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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