Representation theory of reductive groups over non-Archimedean local fields
In this course we will discuss the general theory of representations for reductive groups over non-Archimedean local fields. Meanwhile, we will also focus on the some special groups (GL2, GLn or classical groups etc.). In particular, the Bernstein-Zelevinsky classification for irreducible representations of GLn will be discussed.
讲师
日期
2025年04月01日 至 06月17日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周二 | 08:50 - 12:15 | A14-203 | ZOOM 2 | 638 227 8222 | BIMSA |
修课要求
Linear algebra, Basic representation theory, Basic number theory , Basic Lie theory
参考资料
1. Prasad, Dipendra, and Anantharam Raghuram. "Representation theory of GL (n) over non-Archimedean local fields." preprint (2001).
2.Cartier, Pierre. "Representations of p-adic groups: a survey." Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part. Vol. 1. 1979.
3.Zelevinsky, Andrei V. "Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n) ." Annales scientifiques de l'École Normale Supérieure. Vol. 13. No. 2. 1980.
4. Bump, Daniel. Automorphic forms and representations. No. 55. Cambridge university press, 1998.
5.Tadić, Marko. "On reducibility and unitarizability for classical p-adic groups, some general results." Canadian journal of mathematics 61.2 (2009): 427-450.
2.Cartier, Pierre. "Representations of p-adic groups: a survey." Automorphic forms, representations and L-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part. Vol. 1. 1979.
3.Zelevinsky, Andrei V. "Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n) ." Annales scientifiques de l'École Normale Supérieure. Vol. 13. No. 2. 1980.
4. Bump, Daniel. Automorphic forms and representations. No. 55. Cambridge university press, 1998.
5.Tadić, Marko. "On reducibility and unitarizability for classical p-adic groups, some general results." Canadian journal of mathematics 61.2 (2009): 427-450.
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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。