##### Department of Mathematics,

University of California San Diego

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### Special Colloquium

## Ben Weinkove

#### Harvard

## Canonical metrics and Kahler geometry

##### Abstract:

I will discuss canonical metrics on Kahler manifolds, including Kahler-Einstein and constant scalar curvature Kahler metrics. By conjectures of Yau, Tian and Donaldson, the existence of such a metric should be equivalent to the properness of the relevant energy functional and to the algebraic `stability' of the manifold. I will describe some work on energy functionals in Kahler geometry and methods for finding canonical metrics.

Host: Peter Ebenfelt

### October 23, 2007

### 4:00 PM

### AP&M 6402

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