Title: Canonical Kähler metrics and the Kähler-Ricci flow
Speaker: Professor Jian Song
Speaker Info: Johns Hopkins University
Brief Description:
Special Note:

The existence of Kähler-Einstein metrics on a compact Kähler manifold of definite or vanishing first Chern class has been the subject of intense study over the last few decades, following Yau's solution to Calabi's conjecture. The Kähler-Ricci flow is the most canonical way to construct Kähler-Einstein metrics. We define and prove the existence of a family of new canonical metrics on projective manifolds with semi-ample canonical bundle, where the first Chern class is semi-definite. Such a generalized Kähler-Einstein metric can be constructed as the singular collapsing limit by the Kähler-Ricci flow on minimal surfaces of Kodaira dimension one. Some recent results of Kähler-Einstein metrics on Kähler manifolds of positive first Chern class will also be discussed.
Date: Friday, February 09, 2007
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Eric M. Friedlander
Contact email: eric@math.northwestern.edu
Contact Phone: 847-491-8541
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