„Deligne’s conjecture for automorphic motives over CM-fields“

 

Abstract: „In 1979 Deligne conjectured that the critical values of a motivic L-function can be expressed as the algebraic multiple of a certain period, which is nothing else than a determinant, and some explicit powers of 2*pi*i. For motives attached to conjugate self-dual cuspidal automorphic representations of GL(n) over a CM-field Deligne’s conjecture is now a theorem, due to recent work of the speaker jointly with Michael Harris and Jie Lin. Still, our result depends on several assumptions on our automorphic representations in question and on the validity of two very well-expected conjectures, which we will explain in this talk."

 

Everybody is invited. 

 

ZOOM information:

Topic: Unitary Representations and Automorphic Forms Seminar
Time: Apr 12, 2021 04:00 PM Warsaw

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https://zoom.us/j/98890853976

Meeting ID: 988 9085 3976