YoVDO

The Orbit Method, Microlocal Analysis and Applications to L-Functions

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Representation Theory Courses L-functions Courses Automorphic Forms Courses Microlocal Analysis Courses

Course Description

Overview

Explore a 57-minute lecture on the quantitative development of the orbit method using microlocal analysis and its applications to representation theory and automorphic forms. Delve into local applications, including asymptotic expansions of relative characters, and global applications such as moment estimates and subconvex bounds for L-functions. Examine the research presented in two papers, one co-authored with Akshay Venkatesh, which form the basis of this talk delivered at the Hausdorff Center for Mathematics.

Syllabus

Paul Nelson (Zurich): The orbit method, microlocal analysis and applications to L-functions


Taught by

Hausdorff Center for Mathematics

Related Courses

On the Kudla-Rapoport Conjecture - Chao Li
Institute for Advanced Study via YouTube
Quantum Complexity and L-functions
Fields Institute via YouTube
Eisenstein Cocycles and Values of L-Functions
Fields Institute via YouTube
Valentin Blomer - The Polynomial Method for Point Counting and Exponential Sums, Lecture III
Hausdorff Center for Mathematics via YouTube
Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
ICTP Mathematics via YouTube