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.