# GMR

## Seminar

### Dirichlet-to-Neumann map for Poincare-Einstein metrics

Seminar Room 1, Newton Institute

#### Abstract

An analogue of a Dirichlet-to-Neumann map for asymptotically hyperbolic Einstein metrics will be discussed. 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 the analysis of self-dual Poincare-Einstein metrics.