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Asymptotics of resonances for hyperbolic surfaces
Multi angle
Authors : Borthwick, David (Author of the conference)
CIRM (Publisher )
11F72 - Spectral theory; Selberg trace formula
11M36 - Selberg zeta functions and regularized determinantsSelberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
58J50 - Spectral problems; spectral geometry; scattering theory
CIRM (Publisher )
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Abstract :
After a brief introduction to the spectral theory of hyperbolic surfaces, we will focus on the problem of understanding the asymptotic distribution of resonances for hyperbolic surfaces. The theory of open quantum chaotic systems has inspired several interesting conjectures about this distribution. We will highlight the recent theoretical progress towards these conjectures, and present some of the latest numerical evidence.
MSC Codes : 11F72 - Spectral theory; Selberg trace formula
11M36 - Selberg zeta functions and regularized determinantsSelberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. Explicit formulas
58J50 - Spectral problems; spectral geometry; scattering theory
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/03/17 Conference Date : 15/03/17 Subseries : Research talks arXiv category : Spectral Theory ; Mathematical Physics ; Differential Geometry Mathematical Area(s) : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:57:54 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-15_Borthwick.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.19142803Cite this video as: Borthwick, David (2017). Asymptotics of resonances for hyperbolic surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19142803 URI : http://dx.doi.org/10.24350/CIRM.V.19142803 |
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] The stability of Kerr-de Sitter black holes / Author of the conference Hintz, Peter.
- [Post-edited] Microlocal analysis for Kerr-de Sitter black holes / Author of the conference Vasy, Andras.
Bibliography
- Borthwick, D. (2016). Spectral theory of infinite-area hyperbolic surfaces. Basel: Birkhäuser/Springer - http://dx.doi.org/10.1007/978-3-319-33877-4
