##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Zhiwei Wu

#### UC Irvine

## Equations of KdV type and curve flows in affine space

##### Abstract:

The KdV equation is one of the most important equations in soliton theory. It can be generalized to Gelfand-Dikii hierarchy and there have been a lot of work related to it. In this talk, I will give a geometric interpretation of the equations in Gelfand-Dikii hierarchy as curve flows in $R^n$. I will also discuss Backlund transformation and Hamiltonian structures for these curve flows.

Host: Lei Ni

### February 15, 2012

### 3:00 PM

### AP&M 5829

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