 
Summary: COLLOQUIUM
University of Regina
Department of Mathematics and Statistics
Speaker: Bruce Gilligan, University of Regina
Title: A Complex Analyst's View of Homogeneous Spaces
Date: Friday, October 15, 2004
Time: 3:30PM
Place: Math & Stats Lounge (CW 307.18)
Abstract
We begin with basic concepts: holomorphic functions on an open
subset of Cn
, complex manifolds, and homogeneous spaces. In order to
use Lie theory we then restrict to coset spaces of complex Lie groups;
i.e., G/H, where G is a (connected) complex Lie group and H is a
closed complex subgroup of G. We will give some illustrative examples
of these, including Cousin groups.
In this talk we concentrate on the existence of analytic hypersur
faces in homogeneous complex manifolds. By definition these are pure
complex codimension one closed analytic subsets of the manifold. They
arise as the level sets of certain holomorphic functions. In complex pro
