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.
Lecturer
Date
1st April ~ 17th June, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday | 08:50 - 12:15 | A14-203 | ZOOM 2 | 638 227 8222 | BIMSA |
Prerequisite
Linear algebra, Basic representation theory, Basic number theory , Basic Lie theory
Reference
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.
Video Public
No
Notes Public
Yes
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.