|Representation Theory of p-adic groups and the local Langlands correspondence|
|Time：||Tue/Thu 13:00-14:50 (Lecture on June 11 changed to June 8)|
|Instructor：||Dipendra Prasad [Tata Institute of Fundamental Research]|
|Place：||Conference Room 3，Floor 2, Jin Chun Yuan West Building|
The course will give an introduction to the representation theory of p-adic groups, a subject of great contemporary interest, and a very active area of research both for its own sake, and also for questions about Automorphic forms and number theory.
We will follow the trilogy of the papers of Bernstein-Zelevinsky, and Zelevinsky, the first of which appeared in Russian Math Survey 31:3(1976), 1-68, entitled, “Representations of the group GL(n,F) where F is a non-Archimedean local field”.
We hope to cover what’s called the Zelevinsky classification of irreducible admissible representations of GL(n,F) besides some general results valid for arbitrary reductive p-adic groups, and relationship to the Local Langlands Conjectures.
Basic familiarity with p-adic fields, and some Algebraic Groups theory such as the notion of Parabolic subgroups and Bruhat decomposition.
1. J. Bernstein and A. Zelevinsky : Representation of the group GL(n,F) where F is a non-Archimedean local field; Russian Math Surveys 31:3(1976), 1-68.
2. W. Casselman: Introduction to the theory of admissible representations of p-adic reductive groups (Unpublished lecture notes).