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Speaker: Philippe G. LeFlochTitle: 9/10/2021 General Relativity SeminarVenue: VirtualTitle: Asymptotic localization, massive fields, and gravitational singularities Abstract: I will review three recent developments on Einstein’s field equations under low decay or low regularity conditions. First, the Seed-to-Solution Method for Einstein’s constraint equations, introduced in collaboration with T.-C. Nguyen generates asymptotically Euclidean manifolds with the weakest or strongest possible decay (infinite ADM mass, Schwarzschild decay, etc.). The ‘asymptotic localization problem’ is also proposed an alternative to the ‘optimal localization problem’ by Carlotto and Schoen. We solve this new problem at the harmonic level of decay. Second, the Euclidian-Hyperboloidal Foliation Method, introduced in collaboration with Yue Ma, applies to nonlinear wave systems which need not be asymptotically invariant under Minkowski’s scaling field and to solutions with low decay… |
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Speaker:Title: General Relativity Seminar, WednesdaysVenue: VirtualThe Seminar on General Relativity will take place every Wednesday from 12pm – 1pm in CMSA Building, 20 Garden Street, G10. The list of speakers is below and will be updated as details are confirmed. Date Name Title 04-06-2016 Mihalis Dafermos (Princeton) The black hole stability problem: the inside story 04-13-2016 Felix Finster, University of Regensburg Linear stability of Kerr black holes 04-20-2016 Paul Chesler, Harvard Physics Numerical relativity in asymptotically anti-de Sitter spacetime 04-27-2016 Andy Strominger (Harvard Physics) & Mihalis Dafermos (Princeton University) The Scattering Problem in General Relativity 05-04-2016 Robert Penna, MIT BMS invariance and the membrane paradigm 05-11-2016 Piotr T. Chruściel, University of Vienna Gluing things in general relativity 05-18-2016 Achilleas Porfyriadis, Harvard Physics Gravitational waves from the Kerr/CFT correspondence 05-25-2016 Scott Hughes, MIT… |