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The Gauss-Bonnet theorem for Poincare-Einstein metrics

Date: 
Monday 3rd October 2005 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Session Title: 
Mathematical issues in AdS/CFT minisymposium
Abstract: 

A useful tool in the study of the AdS/CFT correspondence is the renormalized volume. For four dimensional Poincare-Einstein manifolds, a theorem of Mike Anderson relates the renormalized volume and the Euler characteristic of the underlying manifold with boundary. We will discuss the extension of the renormalization procedure to curvature integrals on these manifolds and the proof of the corresponding Gauss-Bonnet theorem in all even dimensions.

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