##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry

## Xian Ren

#### China University of Mining and Technology/UCSD

## Differential Harnack Estimates for Heat Equation on Manifolds

##### Abstract:

Differential Harnack estimates, also called Li-Yau-Hamilton estimates, play an important part in geometric analysis, especially geometric flows. Firstly, I will review the developments of differential Harnack estimates. Then I will talk about the Constrained matrix differential Harnack estimates for the heat equation on Kaehler Manifolds.

Organizer: Lei Ni

### October 5, 2016

### 3:00 PM

### AP&M 7321

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