Ancient solutions in geometric flows

Abstract: We will talk about classification of ancient solutions in geometric flows. In particular, we will show the only closed ancient noncollapsed Ricci flow solutions are the shrinking spheres and Perelman's solution. We will talk about the higher dimensional analogue of this result under suitable curvature assumptions as well. These are joint works with Brendle, Daskalopoulos and Naff.

Mathematics

Audience: researchers in the discipline

Caltech geometry/topology seminar