# Optimal conditions for the extension of the mean curvature flow

Friday, February 12, 2010 -

3:00pm to 5:00pm

In this talk, we will discuss several optimal (global) conditions for the existence of a smooth solution to the mean curvature flow. Our focus will be on quantities involving only the mean curvature. We will also discuss several applications of a local curvature estimate which is a parabolic analogue of Choi-Schoen estimate for minimal submanifolds. This is joint work with Natasa Sesum.

Speaker:

Nam Le

Columbia University

Event Location:

Fine Hall 314