English
Microlocal analysis for Kerr-de Sitter black holes
Post-edited
Auteurs : Vasy, Andras (Auteur de la Conférence)
CIRM (Editeur )
35A21 - Propagation of singularities (PDE)
35A27 - Microlocal methods; methods of sheaf theory and homological algebra in PDE
35B40 - Asymptotic behavior of solutions of PDE
58J40 - Pseudodifferential and Fourier integral operators on manifolds
83C35 - Gravitational waves
83C57 - Black holes
58J47 - Propagation of singularities; initial value problems
35B34 - Resonances in solutions of PDE
CIRM (Editeur )
Résumé :
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.
Codes MSC : 35A21 - Propagation of singularities (PDE)
35A27 - Microlocal methods; methods of sheaf theory and homological algebra in PDE
35B40 - Asymptotic behavior of solutions of PDE
58J40 - Pseudodifferential and Fourier integral operators on manifolds
83C35 - Gravitational waves
83C57 - Black holes
58J47 - Propagation of singularities; initial value problems
35B34 - Resonances in solutions of PDE
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 23/03/17 Date de captation : 14/03/17 Sous collection : Research talks arXiv category : Analysis of PDEs ; Differential Geometry ; Mathematical Physics Domaine : Geometry ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 01:01:17 Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-14_Vasy.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamiqueOrganisateurs de la rencontre : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz Dates : 13/03/17 - 17/03/17 Année de la rencontre : 2017 URL Congrès : http://conferences.cirm-math.fr/1604.html
Données de citation
DOI : 10.24350/CIRM.V.19142403Citer cette vidéo: Vasy, Andras (2017). Microlocal analysis for Kerr-de Sitter black holes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19142403 URI : http://dx.doi.org/10.24350/CIRM.V.19142403 |
Voir aussi
- [Multi angle] Correlation spectrum of Morse-Smale flows / Auteur de la Conférence Rivière, Gabriel.
- [Multi angle] Isomorphisms between eigenspaces of slow and fast transfer operators / Auteur de la Conférence Pohl, Anke.
- [Multi angle] Asymptotics of resonances for hyperbolic surfaces / Auteur de la Conférence Borthwick, David.
- [Multi angle] The stability of Kerr-de Sitter black holes / Auteur de la Conférence Hintz, Peter.
Bibliographie
- Hintz, P., & Vasy, A. (2016). The global non-linear stability of the Kerr-de Sitter family of black holes.
- 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
