Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
Speaker |
: |
Prof. Alan Huckleberry, |
Affiliation | : | Ruhr University, Bochum, Germany |
Subject Area |
: |
Mathematics
|
Venue |
: |
Lecture Hall - I, Dept. of Mathematics
|
Time |
: |
2.30 p.m.
|
Date |
: |
Dec 11, 2009 (Friday) |
Title |
: |
"Hyperbolicity of cycle spaces and Automorphism groups of flag domains" |
Abstract |
: |
The appropriate context for algebraic-geometric realizations of holomorphic representations of a complex semisimple group is that of a compact homogeneous projective flag manifold Z = G/Q. One topic of more current interest is the study of the possibility of realizing (infinite-dimensional) unitary representations of a real form G0 of G on function- and/or cohomology-spaces of open G_0-orbits D in Z (flag domains) and their cycle spaces. After an introduction for nonspecialists, we will indicate a proof by Schubert incidence geometry of the Kobayashi hyperbolicity of the relevant cycle spaces. This will then be applied to give an exact description of the group Aut_O(D) of holomorphic automorphisms. |