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Microlocal analysis for Kerr-de Sitter black holes
Post-edited
Authors : Vasy, Andras (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/03/17 Conference Date : 14/03/17 Subseries : Research talks arXiv category : Analysis of PDEs ; Differential Geometry ; Mathematical Physics Mathematical Area(s) : Geometry ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 01:01:17 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-14_Vasy.mp4 
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Information on the Event
Event Title : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamiqueEvent Organizers : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz Dates : 13/03/17 - 17/03/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1604.html
Citation Data
DOI : 10.24350/CIRM.V.19142403Cite 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 |
See Also
- [Multi angle] Correlation spectrum of Morse-Smale flows / Author of the conference Rivière, Gabriel.
- [Multi angle] Isomorphisms between eigenspaces of slow and fast transfer operators / Author of the conference Pohl, Anke.
- [Multi angle] Asymptotics of resonances for hyperbolic surfaces / Author of the conference Borthwick, David.
- [Multi angle] The stability of Kerr-de Sitter black holes / Author of the conference Hintz, Peter.
Bibliography
- 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
