## Speaker:

Professor Robin Graham

## Institution:

University of Washington

## Time:

Tuesday, February 22, 2005 - 3:00pm

## Location:

MSTB 254

This talk will describe an analogue of a Dirichlet to Neumann

map for Poincar\'e-Einstein metrics, also known as asymptotically

hyperbolic or conformally compact Einstein metrics. An explicit

identification of the linearization of the map at the sphere will be

given for even interior dimensions, together with applications

to the structure of the map near the sphere and to a different proof of

the positive frequency conjecture of LeBrun which was resolved by Biquard.