Professor Lu Wang, University of Wisconsin: The entropy of a (hyper)-surface is given by the supremum over all Gaussian integrals with varying centers and scales. It is a geometric invariant that measures complexity of the surface. This quantity is introduced by Colding and Minicozzi to understand the singularity formation of mean curvature flow of surfaces. In this talk, I will discuss several results which show that closed surfaces that have small entropy are simple in various senses.

This is joint with Jacob Bernstein.