Geometric Analysis and Topology Seminar

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The Kähler Ricci Flow on Fano Manifolds

Speaker: Bing Wang, UW Madison

Location: Warren Weaver Hall 517

Date: Friday, April 24, 2015, 11 a.m.

Synopsis:

As a generalization of Cheeger-Colding-Tian theory for non-collapsed Einstein manifolds, we develop the compactness of the moduli of non-collapsed Kähler Calabi-Yau spaces with mild singularities. Based on this compactness, we set up a structure theory for polarized Kähler Ricci flows with proper geometric bounds. As applications, we prove the Hamilton-Tian conjecture and the partial-C0-conjecture of Tian. This is a joint work with X.X. Chen.