##### Department of Mathematics,

University of California San Diego

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### Joint UCI-UCR-UCSD Seminar

## Jacob Bernstein

#### Johns Hopkins University

## Surfaces of Low Entropy

##### Abstract:

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.

Host: Lei Ni

### January 17, 2017

### 3:00 PM

### AP&M 2402

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