Microlocal analysis for Kerr-de Sitter black holes | Vidéo | Carmin.tv

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Chapitres

Microlocal analysis for Kerr-de Sitter black holes

Apparaît dans la collection : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamique

In this lecture I will describe a framework for the Fredholm analysis of non-elliptic problems both on manifolds without boundary and manifolds with boundary, with a view towards wave propagation on Kerr-de-Sitter spaces, which is the key analytic ingredient for showing the stability of black holes (see Peter Hintz' lecture). This lecture focuses on the general setup such as microlocal ellipticity, real principal type propagation, radial points and generalizations, as well as (potentially) normally hyperbolic trapping, as well as the role of resonances.

Informations sur la vidéo

Date de captation 14/03/2017
Date de publication 23/03/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19142403
Citer cette vidéo Vasy, Andras (14/03/2017). Microlocal analysis for Kerr-de Sitter black holes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19142403
URL https://dx.doi.org/10.24350/CIRM.V.19142403

Domaine(s)

Bibliographie

Hintz, P., & Vasy, A. (2016). The global non-linear stability of the Kerr-de Sitter family of black holes. <arXiv:1606.04014> - https://arxiv.org/abs/1606.04014
Hintz, P., & Vasy, A. (2015). Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes. Analysis & PDE, 8(8), 1807-1890 - http://dx.doi.org/10.2140/apde.2015.8.1807
Vasy, A. (2013). Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov). Inventiones Mathematicae, 194(2), 381-513 - http://dx.doi.org/10.1007/s00222-012-0446-8

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