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Department of Mathematics,
University of California San Diego

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Differential Geometry Seminar

Valentino Tosatti

Harvard University

Kahler-Ricci flow and stability

Abstract:

I will discuss the relationship between convergence of the Ricci flow on a Fano manifold and algebraic stability of the manifold with the anticanonical polarization. I will show that if the curvature remains bounded along the flow then stability implies convergence of the flow and so in particular existence of a Kahler-Einstein metric.

Host: Ben Weinkove

February 19, 2009

9:30 AM

AP&M 5402

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