EVENT DETAILS AND ABSTRACT

Title: Analytic base point free theorem
Speaker: Jian Song
Speaker Info: Rutgers University
Brief Description:
Special Note:
Abstract:

The abundance conjecture predicts that if the canonical bundle of a projective manifold is nef, then it is semi-ample. A special case is proved by Kawamata for big and nef canonical bundles. We give an analytic proof of Kawamata's theorem using the Ricci flow, L² theory and degeneration of Riemannian manifolds. We further construct unique Kähler-Einstein metrics with a global Riemannian structure on canonical models. We will also discuss a more general analytic base point free theorem.