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

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Chapters

Microlocal analysis for Kerr-de Sitter black holes

Appears in 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.

Information about the video

Date of recording 14/03/2017
Date of publication 23/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19142403
Cite this video 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

Domain(s)

Bibliography

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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