Geometry Seminar

 

 

 CR Geometry and Representations of Semisimple Lie Groups

 

Professor J. Wolf

UC Berkeley, USA

 

Abstract

 

This will continue from last week's lecture “Real Group Orbits on Complex Flag Manifolds”. Again, Z = G/Q is a complex flag manifold, G0 is a real form of G, and we study the G0 orbit structure of Z. Last week we saw the connection between open orbits and discrete series representations. This lecture will first recall the other series of representations of G0 that enter into the Plancherel formula, and then indicate how they show up on certain partially complex G0 orbits as the natural action of G0 on certain partially holomorphic cohomology spaces. The lecture will concentrate on the case of the complex Grassmann manifold and the “principal series” of representations of G0 .

 

 

Date:

November 3, 2004 (Wednesday)

Time:

4:00 – 5:00pm

Place:

Room 517, Meng Wah Complex

 

 

All are welcome