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.