Generalizations of Mean Curvature Flow Entropy

Generalizations of Mean Curvature Flow Entropy

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Ao Sun, Massachusetts Institute of Technology

Please note the time change for this seminar

Zoom link:

https://princeton.zoom.us/j/594605776

Abstract: Mean curvature flow entropy was introduced by Colding-Minicozzi, and it is a very important quantity in the study of mean curvature flow and related geometric problem. In this talk, I will discuss two generalizations of mean curvature flow entropy: one is a localized version of entropy, another one is entropy in a closed manifold. I will discuss how to use these generalizations to study the regularity problem of mean curvature flow. In particular, I will discuss how to use these generalizations of entropy rule out some pathological asymptotic behaviors.