Convergence of the normalized Kaehler-Ricci flow on Fano varieties

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• Vincent Guedj (Toulouse)
• Thursday 12 April 2012, 16:00-17:00
• MR2.

If you have a question about this talk, please contact Dr. J Ross.

Let X be a Fano manifold whose Mabuchi functional is proper. A deep result of Perelman-Tian-Zhu asserts that the normalized Kaehler-Ricci flow, starting from an arbitrary Kaehler form in c_1(X), smoothly converges towards the unique Kaehler-Einstein metric. We will explain an alternative proof of a weaker convergence result which applies to the broader context of (log-)Fano varieties.

This is joint work with Berman, Boucksom, Eyssidieux and Zeriahi.

This talk is part of the Workshop on Kahler Geometry series.

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