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Convergence and Low Regularity in General Relativity: April 29-May 3, 2019

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Workshop: Convergence and Low Regularity in General Relativity

April 29-May 3, 2019

Organized by: Philippe LeFloch, Jeff Jauregui, Mike Anderson, Christina Sormani

To truly address the many open questions that persist in Mathematical General Relativity, one cannot restrict oneself to smooth metrics and strong notions of convergence.   One must apply Lebesgue, Sobolev, Sormani-Wenger Intrinsic Flat, and possibly Gromov-Hausdorff convergence to handle sequences of manifolds that naturally arise when studying notions of mass.  These weak notions of convergence and perhaps others are needed to rigorously define stability and almost rigidity in both Riemannian and Lorentzian General Relativity.  It has become increasingly important to define low regularity metrics and explicitly describe how they may be considered as having nonnegative scalar curvature, or more generally satisfying Einstein’s Equation or the Constraint Equations.  This workshop brings together geometers with results on convergence in low regularity with geometric analysts specializing in low regularity general relativity.

Workshop Application Deadline: January 29, 2019 (or when event is at maximum capacity). Applicants will be contacted soon after this date.