Workshop on Geometric Functionals: Analysis and Applications
Topic:	Self-similar solutions of mean curvature flow and entropy
Speaker:	Jacob Bernstein
Affiliation:	Johns Hopkins University; Member, School of Mathematics
Date:	Monday, March 4
Time/Room:	2:30pm - 3:30pm/Simonyi Hall 101

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Abstract: Colding-Minicozzi introduced a natural entropy for hypersurfaces in euclidean space that is non-increasing under the mean curvature flow (MCF) and is a natural measure of the hypersurface's geometric complexity.  In particular, hypersurfaces of low entropy turn out to be "simple" in various senses.  This phenomena is most striking for self-similar solutions of MCF and I will discuss recent results illustrating this.  This is all joint work with Lu Wang.