Convergence of the normalized Kaehler-Ricci flow on Fano varieties
- ๐ค Speaker: Vincent Guedj (Toulouse)
- ๐ Date & Time: Thursday 12 April 2012, 16:00 - 17:00
- ๐ Venue: MR2
Abstract
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.
Series This talk is part of the Workshop on Kahler Geometry series.
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Vincent Guedj (Toulouse)
Thursday 12 April 2012, 16:00-17:00