Algebraicity of Critical Values of Automorphic L-functions: Examples and Conjectures
Time: 2022-03-03
Published By: He Liu
Speaker(s): Shih-Yu Chen (Academia Sinica)
Time: 10:30-11:30 March 14, 2022
Venue: Online
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.
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