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Dirichlet-to-Neumann map for Poincare-Einstein metrics

Date: 
Monday 3rd October 2005 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Session Title: 
Mathematical issues in Ads/CFT minisymposium
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.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons