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The wave equation for Weil-Petersson metrics
Multi angle
Authors : Melrose, Richard (Author of the conference)
CIRM (Publisher )
30F60 - Teichmüller theory
32G15 - Moduli of Riemann surfaces, Teichmüller theory
35L05 - Wave equation (hyperbolic PDE)
CIRM (Publisher )
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Abstract :
In this somewhat speculative talk I will briefly describe recent results with Xuwen Zhu on the boundary behaviour of the Weil-Petersson metric (on the moduli space of Riemann surfaces) and ongoing work with Jesse Gell-Redman on the associated Laplacian. I will then describe what I think happens for the wave equation in this context and what needs to be done to prove it.
MSC Codes : 30F60 - Teichmüller theory
32G15 - Moduli of Riemann surfaces, Teichmüller theory
35L05 - Wave equation (hyperbolic PDE)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 12/05/2016 Conference Date : 26/04/2016 Subseries : Research talks arXiv category : Analysis of PDEs ; Differential Geometry Mathematical Area(s) : PDE ; Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 01:05:28 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-04-26_Melrose.mp4 
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Information on the Event
Event Title : Evolution equations on singular spaces / Équations d'évolution sur les espaces singuliersEvent Organizers : Baskin, Dean ; Hillairet, Luc ; Wunsch, Jared Dates : 25/04/2016 - 29/04/2016 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1396.html
Citation Data
DOI : 10.24350/CIRM.V.18964903Cite this video as: Melrose, Richard (2016). The wave equation for Weil-Petersson metrics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18964903 URI : http://dx.doi.org/10.24350/CIRM.V.18964903 |
See Also
- [Multi angle] A Polyakov formula for sectors / Author of the conference Rowlett, Julie.
- [Multi angle] Quantum Sabine law for resonances in transmission problems / Author of the conference Galkowski, Jeffrey.
- [Multi angle] Hyperbolic triangles with no positive Neumann eigenvalues / Author of the conference Judge, Christopher.
- [Post-edited] Correspondence between Ruelle resonances and quantum resonances for non-compact Riemann surfaces / Author of the conference Guillarmou, Colin.
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