Optimal conditions for the extension of the mean curvature flow

Optimal conditions for the extension of the mean curvature flow

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Nam Le, Columbia University
Fine Hall 314

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.