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Post-edited Microlocal analysis for Kerr-de Sitter black holes

Auteurs : Vasy, Andras (Auteur de la Conférence)
CIRM (Editeur )

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manifold structure totally characteristic analysis other analytic structures pseudo-differential operators Sobolev spaces Fredholm analysis two steps to Fredholm estimates normal operators and resonances Kerr-de-Sitter spaces questions of the audience

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

    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 23/03/17
    Date de captation : 14/03/17
    Collection : Research talks
    Format : MP4 (.mp4) - HD
    Durée : 01:01:17
    Domaine : Geometry ; PDE ; Mathematical Physics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : http://videos.cirm-math.fr/2017-03-14_Vasy.mp4

Informations sur la rencontre

Nom du congrès : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamique
Organisteurs Congrès : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz
Dates : 13/03/17 - 17/03/17
Année de la rencontre : 2017
URL Congrès : http://scientific-events.weebly.com/1604.html

Citation Data

DOI : 10.24350/CIRM.V.19142403
Cite this video as: 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

Bibliographie

  1. 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

  2. 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

  3. 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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