1. Background and purpose：

Theory of automorphic representations is a very important subject in

modern number theory. In particular, it is one of the most powerful tools in

the research on analytic aspects of L-functions. The purpose of this course

is to introduce and study automorphic representations for GL(2).

 

2. Outline and speakers：

Lecturer: Fu-Tsun Wei.

Local theory of representation on GL(2)

(1) Weil representations on SL(2)

(2) Explicit construction of representations on GL(2) as quotients of Weil representations

(3) Whittaker models and Kirillov models

(4) Classification of admissible irreducible representations on GL(2)

(5) Local Jacquet-Langlands correspondence via theta lifting

(6) Theory of local L-functions for GL(2) and GL(2)xGL(2)

 

Because of ICCM, we don't have class on 12/25.