Relative character asymptotics and applications

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces
Topic:Relative character asymptotics and applications
Speaker:Paul Nelson
Affiliation:ETH Z├╝rich
Date:Tuesday, March 6
Time/Room:4:00pm - 5:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/RepTheoryAnalysisLocallySymmetricSpaces/2018/0306-PaulNelson

Abstract: Relative (or spherical) characters describe the restriction of a representation to a subgroup. They arise naturally in the study of periods of automorphic forms, e.g., in the setting of conjectures of Gan-Gross-Prasad and Ichino-Ikeda. I will discuss the problem of their asymptotic estimation, emphasizing some known results, open problems and applications.