Back to Departmental Colloquium: Spring 2000
Departmental Colloquium
Date: Thursday, Mar 30, 2000
Time: 4:15PM
Location: JWB 335
Peter E. Trapa
Princeton)
Title |
Current directions in the representation theory of real Lie groups |
Abstract |
Suppose G is a real Lie group. A classical and still open problem is to describe all continuous, irreducible, length-preserving actions of G on a Hilbert space. An impressive array of ideas has been applied to this problem with varying degrees of partial success. In many cases, these ideas have taken on a life of their own and have revealed deep and interesting insights into nonunitary representations. The purpose of this talk is to survey a handful of those ideas — some algebraic, some geometric, and some arithmetic — with a view toward optimistic applications of them. |
Number Theory
Representation Theory