##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry

## Mao-Pei Tsui

#### The University of Toledo

## The Curvature Estimate Of Higher Codimensional Mean Curvature Flow

##### Abstract:

K . Ecker and G. Huisken have derived a priori estimate for the curvature (second fundamental forms) when they study the mean curvature flow of the graph of a function in Euclidean space. In this talk, I will explain that a similar curvature estimate also exists for higher codimensional mean curvature flow under certain natural conditions. This is joint work with Knut Smoczyk and Mu-Tao Wang.

Host: Lei Ni

### February 21, 2013

### 9:00 AM

### AP&M 7218

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