250064 VO Selected topics in topological and lie groups (2008W)

theory of the group GL(2,k) for p-adic fields k. The course is related
to the course "AK Algebra" from last summer term, where we studied the
representations of GL(2,k) for finite fields k, which will serve as a
guide to the more difficult case of p-adic fields. We will assume some
familiarity with the representation theory of finite groups. Goal of the
course is - to achieve an understanding of the basics of the
representation theory of p-adic groups - to know to some extent the
representations of GL(2,k). Topics will be - local fields, -
representations of GL(1), admissible repesentations, Jacquet functor,
principal series and discrete series of representations.