##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Jie Qing

#### UC Santa Cruz

## Scattering on conformally compact Einstein manifolds

##### Abstract:

I will talk about the scattering operators on conformally compact Einstein manifolds based on the work of Graham and Zworski. A conformally compact Einstein manifold comes with a conformal manifold as its conformal infinity. I will show scattering operators, as spectral property of the bulk space, in many ways are related to global conformal property of the infinity. I will in particular talk about a recent joint work with Colin Guillarmou on the relation of the location of real scattering poles and the Yamabe constant of the conformal infinity.

Hosts: Lei Ni and Ben Weinkove

### November 18, 2009

### 3:00 PM

### AP&M 6402

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