The Gan-Gross-Prasad conjectures for unitary groupsMPIM

by Paul Boisseau (MPIM)

Thursday Nov 6, 2025, 3:00 PM → 4:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPI-Oberseminar

The Gan-Gross-Prasad conjectures connect two central themes in the theory of automorphic forms: the study of branching laws in the representation theory of classical (real or p-adic) Lie groups, and the relation between automorphic periods and special values of L functions. In this introductory talk, I will explain how a celebrated result of Waldspurger unites these two questions for GL2. I will then describe the generalization proposed by Gan, Gross and Prasad in the case of unitary groups, and discuss recent progress.