##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Shengli Kong

#### UCSD

## Ancient solutions of Ricci flow on spheres and generalized Hopf fibrations

##### Abstract:

I will discuss a construction of ancient solutions to Ricci flow on spheres and complex projective spaces which generalize Fateev's examples on three spheres. These examples supply counter-examples to some folklore conjectures on ancient solutions of Ricci flow on compact manifolds. This a joint work with Ioannis Bakas and Lei Ni.

### May 27, 2009

### 4:00 PM

### AP&M 5402

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