The orbit method, microlocal analysis and applications to L-functions

I will describe how the orbit method can be developed in a quantitative form, along the lines of microlocal analysis, and applied to local problems in representation theory and global problems involving the analysis of automorphic forms. This talk will overlap with a number theory seminar given last semester, but will be aimed instead towards people who are not necessarily number theorists, and could be considered as a retroactive introduction to that seminar. The results and methods to be surveyed are the subject of the following papers/preprints:

 

https://arxiv.org/abs/1805.07750

 

https://arxiv.org/abs/2012.02187

 

https://arxiv.org/abs/2109.15230

Date

Affiliation

Eidgenössische Technische Hochschule Zürich; von Neumann Fellow, School of Mathematics

Speakers