Mardi 24 Mai


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Mardi 24 Mai
Heure: 13:30 - 14:30
Lieu: Amphi Copernic, Institut Galilée, Université Paris 13
Résumé: PM - EDP - Global stability of Kaluza-Klein Theories -
Description: Annalaura StingoThe Kaluza-Klein theories represent the classical mathematical approach to the unification of general relativity with electromagnetism and more generally with gauge fields. In these theories, general relativity is considered in 1+3+d dimensions and in the simplest case d=1 dimensional gravity is compactified on a circle to obtain at low energies a (3+1)-dimensional Einstein-Maxwell-Scalar systems. Kaluza-Klein space-times have been proven by Witten to be unstable at the semi-classical level, but heuristic arguments are given in support of their classical stability.
In this talk I will discuss the problem of the classical global stability of Kaluza-Klein theories when d=1 and present a toy model we studied in collaboration with C. Huneau.