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Seminar on
Mathematical General Relativity
Organizers: Sergiu Klainerman (Princeton)
Philippe G. LeFloch (Univ. Pierre et Marie Curie) Gabriele Veneziano (Collège de France)
With the financial support of the Fondation des Sciences Mathématiques de Paris
Monday June 13, 2011
Institut Henri Poincaré, Paris, Lecture room 314
11h Lars Andersson (Potsdam) Linear fields on Kerr spacetime
Abstract. The problem of nonlinear stability for the Kerr model of a rotating black hole is one of the central problems in general relativity. The analysis of linear fields of spin 0, 1, 2, on the Kerr spacetime is an important model problem for full nonlinear stability. I will report on recent progress on this problem.
14h Yvonne Choquet-Bruhat (IHES, Bures-sur-Yvette) Positive gravitational energy in arbitrary dimensions
Abstract. The most elegant and convincing proof of the positive energy theorem is based on spinors, as did Witten in dimension 3 +1, inspired by heuristic work by Deser and Grisaru originating from supergravity. Our aim here is to present a streamlined and complete proof, that is valid in arbitrary space dimension and uses only spinors on an oriented Riemannian space without referring to spacetime spinors.