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).
讲师
日期
2024年03月14日 至 06月13日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周四 | 14:30 - 17:55 | A3-2a-201 | ZOOM 08 | 787 662 9899 | BIMSA |
修课要求
Linear algebra, basic number theory, real and complex analysis, basic algebraic group theory.
参考资料
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.
听众
Undergraduate
, Advanced Undergraduate
, Graduate
, 博士后
视频公开
不公开
笔记公开
公开
语言
英文
讲师介绍
邓太旺博士于2022年11月加入BIMSA，担任助理研究员。他的研究兴趣是朗兰兹纲领（广义上说，是朗兰兹纲领的算术、分析和表示方面）。他在巴黎十三大学获得了数学博士学位。此前，他曾在波恩大学、马克斯•普朗克数学研究所和清华大学担任博士后。