Course Descriptions

16:640:556 - Representation Theory

Stephen Miller

Text:

TBA

Prerequisites:

It will be helpful, though not required, to have some familiarity with Lie groups

Course Description:

I will cover the representation theory of semisimple Lie groups, with (time permitting) extensions to p-adic groups. The main planned topics include:

1. Weyl's theory for compact groups

2. Bargmann's theory for SL(2,R)

3. Principal series and discrete series representations

4. Harish-Chandra and (g,K)-modules

5. Intertwining operators

Schedule of Sections: