On factorization of automorphic periods

13.11.2018 13:15 - 14:45

Jie Lin, Universität Duisburg-Essen

Abstract: The question on the factorization of automorphic periods was initiated by Shimura where periods refer to the Petersson inner products of algebraic forms. Essentially, he predicted that periods related to algebraic forms on a division algebra factorize as products of periods indexed by the split archimedean places. In this talk, we will explain a generalisation of this conjecture and its proof. We will also explain how to read this factorization from the point of view of motives, and why it is important in the study of automorphic L-values.

Organiser:

H. Grobner, A. Minguez-Espallargas, A. Mellit

Location:

SR 01, EG, OMP 1