April 3, 2008

Damin Wu (Ohio State University)

Title: Good Kahler Einstein metric on quasi-projective manifolds

Abstract: A K\"ahler metric on a quasi-projective manifold is good (in the sense of Mumford) if it has Poincar\'e growth near the boundary divisor. In this talk, we will discuss about certain necessary and sufficient conditions on the existence of a good Kahler-Einstein metric. We will also talk about the construction of a good metric with prescribed singularities away from the divisor.