Real Group Orbits on Complex Flag Manifolds
Professor J. Wolf
UC
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: |
|
Place: |
Room 517, Meng
Wah Complex |
All are welcome |