Introduction to Arthur-Selberg trace formula
The Arthur-Selberg trace formula is a fundamental result in modern number theory and representation theory, providing deep insights into the arithmetic properties of algebraic groups. This formula establishes a powerful connection between spectral theory and the theory of automorphic forms. The aim of this course is to give an introduction to the Arthur-Selberg trace formula with emphasis on the case of GL(2).
Lecturer
Date
14th March ~ 13th June, 2024
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 14:30 - 17:55 | A3-2a-201 | ZOOM 08 | 787 662 9899 | BIMSA |
Prerequisite
Linear algebra, basic number theory, real and complex analysis, basic algebraic group theory.
Reference
James Arthur: An Introduction to the Trace Formula
Steve Gelbart: Lectures on the Arthur-Selberg trace formula.
Tasho Kaletha: Lectures on the stable trace formula with emphasis on SL_2.
Steve Gelbart: Lectures on the Arthur-Selberg trace formula.
Tasho Kaletha: Lectures on the stable trace formula with emphasis on SL_2.
Audience
Undergraduate
, Advanced Undergraduate
, Graduate
, Postdoc
Video Public
No
Notes Public
Yes
Language
English
Lecturer Intro
Dr. DENG Taiwang has joined BIMSA in November 2022 as an Assistant Professor. His research interests are in the Langlands program (broadly speaking, the arithmetic, analytic and representation aspects of it). He obtained a Phd in Mathematics from the University of Paris 13. Previously, he has held the postdoctorial positions in Bonn University, the Max Planck Institute of Mathematics in Bonn and Tsinghua University.