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Microlocal methods for Anosov flows - Part 1
Multi angle
Authors : Guillarmou, Colin (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
We will introduce some tools from analysis (in particular microlocal analysis) in order to understand the Fredholm theory of Anosov flows. We will then explain how these tools can be used to study a rigidity problem consisting in determining a Riemannian metric from the lengths of its marked closed geodesics, and we will describe a variational approach to study this problem locally near a fixed negatively curved Riemannian metric on a closed manifold.
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 02/05/2023 Conference Date : 11/04/2023 Subseries : Research School arXiv category : Dynamical Systems ; Analysis of PDEs ; Differential Geometry Mathematical Area(s) : Dynamical Systems & ODE ; Geometry Format : MP4 (.mp4) - HD Video Time : 01:05:16 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-04-11_Guillarmou_1.mp4 
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Information on the Event
Event Title : Anosov Dynamics / La dynamique des sytèmes d'AnosovEvent Organizers : Barbot, Thierry ; Barthelmé, Thomas ; Foulon, Patrick ; Hasselblatt, Boris ; Rechtman, Ana Dates : 10/04/2023 - 14/04/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2753.html
Citation Data
DOI : 10.24350/CIRM.V.20036203Cite this video as: Guillarmou, Colin (2023). Microlocal methods for Anosov flows - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20036203 URI : http://dx.doi.org/10.24350/CIRM.V.20036203 |
See Also
- [Multi angle] Contact flows and Birkhoff sections - Part 3 / Author of the conference Vaugon, Anne ; Author of the conference Dehornoy, Pierre.
- [Multi angle] Anosov flows in 3 dimensions and Anosov-like actions - Part 3 / Author of the conference Mann, Kathryn ; Author of the conference Barthelmé, Thomas.
- [Multi angle] Microlocal methods for Anosov flows - Part 3 / Author of the conference Guillarmou, Colin.
- [Multi angle] Microlocal methods for Anosov flows - Part 2 / Author of the conference Guillarmou, Colin.
- [Multi angle] Contact flows and Birkhoff sections - Part 1 / Author of the conference Vaugon, Anne ; Author of the conference Dehornoy, Pierre.
- [Multi angle] Anosov flows in 3 dimensions and Anosov-like actions - Part 1 / Author of the conference Mann, Kathryn ; Author of the conference Barthelmé, Thomas.
- [Multi angle] Anosov flows in 3 dimensions and Anosov-like actions - Part 2 / Author of the conference Mann, Kathryn ; Author of the conference Barthelmé, Thomas.
- [Multi angle] Contact flows and Birkhoff sections - Part 2 / Author of the conference Vaugon, Anne ; Author of the conference Dehornoy, Pierre.
Bibliography
- BONTHONNEAU, Yannick Guedes, GUILLARMOU, Colin, HILGERT, Joachim, et al. Ruelle-Taylor resonances of Anosov actions. arXiv preprint arXiv:2007.14275, 2020. - https://doi.org/10.48550/arXiv.2007.14275
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