**Date & Time:** Thursday, December 24, 2009, 15:00-16:00

**Venue:** Ramanujan Hall

**Title:** Weighted homogeneous pluripotential theory

**Speaker:** Margaret Stawiska, University of Kansas, Department of Mathematics

**Abstract:** We introduce a weighted version of the pluripotential theory on
complex K\"{a}hler manifolds developed recently by Guedj
and Zeriahi. We define a weighted pluricomplex Green function, prove
its basic properties and study its behavior under
holomorphic maps. For projective algebraic manifolds we also provide a
homogeneous version of the weighted theory and
generalize so-called Siciak’s H-principle and some classical
approximation results.