Conférence

Jérémie Szeftel - General relativity (Workshop)

Réalisation : 1 juillet 2014 Mise en ligne : 1 juillet 2014
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Descriptif

In order to control locally a space time which satisfies the Einstein equations, what are the minimal assumptions one should make on its curvature tensor? The bounded L2 curvature conjecture roughly asserts that one should only need L2 bounds of the curvature tensor on a given space like hypersurface. This conjecture has its roots in the remarkable developments of the last twenty years centered around the issue of optimal well posedness for nonlinear wave equations. In this context, a corresponding conjecture for nonlinear wave equations cannot hold, unless the nonlinearity has a very special nonlinear structure. I will present the proof of this conjecture, which sheds light on the specific null structure of the Einstein equations. This is joint work with Sergiu Klainerman and Igor Rodnianski.

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Anglais
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Fanny Bastien (Réalisation)
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CC BY-NC-ND 4.0
Citer cette ressource:
I_Fourier. (2014, 1 juillet). Jérémie Szeftel - General relativity (Workshop). [Vidéo]. Canal-U. https://www.canal-u.tv/86543. (Consultée le 21 mai 2022)
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