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Mathematical Sciences Research Institute

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Program

Mathematical General Relativity August 19, 2013 to December 20, 2013
Organizers Yvonne Choquet-Bruhat, Piotr Chrusciel (Universit├Ąt Wien), Greg Galloway (University of Miami), Gerhard Huisken (Mathematisches Forschungsinstitut Oberwolfach), LEAD James Isenberg (University of Oregon), Sergiu Klainerman (Princeton University), Igor Rodnianski (Massachusetts Institute of Technology), Richard Schoen (Stanford University)
Description

The study of Einstein's general relativistic gravitational field equation, which has for many years played a crucial role in the modeling of physical cosmology and astrophysical phenomena, is increasingly a source for interesting and challenging problems in geometric analysis and PDE. In nonlinear hyperbolic PDE theory, the problem of determining if the Kerr black hole is stable has sparked a flurry of activity, leading to outstanding progress in the study of scattering and asymptotic behavior of solutions of wave equations on black hole backgrounds. The spectacular recent results of Christodoulou on trapped surface formation have likewise stimulated important advances in hyperbolic PDE. At the same time, the study of initial data for Einstein's equation has generated a wide variety of challenging problems in Riemannian geometry and elliptic PDE theory. These include issues, such as the Penrose inequality, related to the asymptotically defined mass of an astrophysical systems, as well as questions concerning the construction of non constant mean curvature solutions of the Einstein constraint equations. This semester-long program aims to bring together researchers working in mathematical relativity, differential geometry, and PDE who wish to explore this rapidly growing area of mathematics.

Bibliography (PDF)

Connections between Mathematical and Physical General Relativity Wiki

Connections for Women in Mathematical General Relativity Wiki


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Programmatic Workshops
September 03, 2013 - September 04, 2013 Connections for Women: Mathematical General Relativity
September 09, 2013 - September 13, 2013 Introductory Workshop: Mathematical Relativity
November 18, 2013 - November 22, 2013 Initial Data and Evolution Problems in General Relativity