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# Ben Weinkove : Symplectic forms, Kahler metrics and the Calabi-Yau equation

Yau's theorem on Kahler manifolds states that there exists a unique Kahler metric in every Kahler class with prescribed volume form. This has many applications in complex geometry. I will discuss symplectic manifolds. In a different direction, I will talk about the problem of existence of constant scalar curvature Kahler metrics, which can also be considered a generalization of Yau's theorem.

**Category**: Presentations**Duration**: 01:34:43**Date**: January 21, 2008 at 4:25 PM**Views**: 171-
**Tags:**seminar, Department of Mathematics Seminar

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