Special Day on Analytic Methods in Algebraic Geometry

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

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.
Date: Saturday, April 11, 2015
Time: 02:30pm
Where: Lunt 105
Contact Person: Valentino Tosatti
Contact email: tosatti@math.northwestern.edu
Contact Phone:
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