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