Geometry Seminar

 

 

 Real Group Orbits on Complex Flag Manifolds

 

Professor J. Wolf

UC Berkeley, USA

 

Abstract

 

This will be an elementary lecture on real group orbits on complex flag manifolds. Complex flag manifolds appear in many forms, for example as compact homogeneous Kähler manifolds, as homogeneous projective varieties, and as quotient manifolds Z = G/Q of a complex semisimple Lie group by a parabolic subgroup. If G0 is a real form of G then the orbits of G0 on Z are very interesting from the viewpoints of differential geometry, complex analysis, and group representation theory. This lecture will indicate some basic facts about the G0 orbit structure of Z and the relation between open orbits and the discrete series, and will concentrate on the case where Z is a complex Grassmann manifold.

 

 

Date:

October 28, 2004 (Thursday)

Time:

4:00 – 5:00pm

Place:

Room 517, Meng Wah Complex

 

 

All are welcome