Number Theory Days in Lille

Applications of the orbit method to the analysis of automorphic forms

9 juil. 2019, 09:45

1h

Salle de réunion (Université de Lille)

Galois representations and modular forms

Orateur

Paul Nelson (ETH Zurich)

Description

I will discuss joint work with Akshay Venkatesh in which we use microlocalized test vectors (inspired by the orbit method) and Ratner theory to study mean values of L-functions on Gross--Prasad pairs. I will also indicate some further applications of these methods, such as to the quantum variance problem for Hecke--Maass eigenforms.