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

**Colloquium**

Speaker: | Ben Weinkove, Harvard University |

Location: | 2112 MSB |

Start time: | Wed, Jan 17 2007, 4:10PM |

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 results on Donaldson's program of extending the Calabi-Yau theory to 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.

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