##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Ben Weinkove

#### UCSD

## The Kahler-Ricci flow on projective bundles

##### Abstract:

\indent I will discuss the behavior of the Kahler-Ricci flow on projective bundles. We show that if the initial metric is in a suitable Kahler class, the fibers collapse in finite time and the metrics converge subsequentially in the Gromov-Hausdorff sense to a metric on the base. This is a joint work with J. Song and G. Szekelyhidi.

### October 5, 2011

### 4:00 PM

### AP&M 5402

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