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Geometry-Topology Seminar

Thursday, April 13, 2017 - 4:30pm

Jacob Bernstein

Johns Hopkins University


University of Pennsylvania


Following Colding and Minicozzi, we consider the entropy of (hyper)-surfaces in Euclidean space.  This is a numerical measure of the geometric complexity of the surface.  In addition, this quantity is intimately tied to to the singularity formation of the mean curvature flow which is a natural geometric heat flow of submanifolds.  In the talk, I will discuss several results that show that closed surfaces for which the entropy is small are simple in various senses.  This is all joint work with L. Wang.