Authors : Vaugon, Anne (Author of the conference) ;
Dehornoy, Pierre (Author of the conference)
CIRM (Publisher )
Abstract :
This course is devoted to the interplay of several topological and dynamical notions, namely contact forms and their Reeb flows, open book decompositions, and Anosov flows. We will spend some time explaining the basic definitions and several important examples. The rough plan is (1) Contact forms, Reeb flows, and open book decomposition (2) Birkhoff sections, Anosov flows, and Reeb-Anosov flows.
Keywords : contact structures; Reeb flows; open book decomposition; Birkhoff sections; Dehn surgeries; Anosov flows; 3-dimension flow
MSC Codes :
37C10
- Vector fields, flows, ordinary differential equations
53D10
- Contact manifolds, general
57R65
- Surgery and handlebodies
Film maker : Hennenfent, Guillaume
Language : English
Available date : 02/05/2023
Conference Date : 10/04/2023
Subseries : Research School
arXiv category : Dynamical Systems ; Symplectic Geometry
Mathematical Area(s) : Dynamical Systems & ODE ; Topology
Format : MP4 (.mp4) - HD
Video Time : 01:01:07
Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
Download : https://videos.cirm-math.fr/2023-04-10_Vaugon_1.mp4
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Event Title : Anosov Dynamics / La dynamique des sytèmes d'Anosov Event 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
DOI : 10.24350/CIRM.V.20036503
Cite this video as:
Vaugon, Anne ;Dehornoy, Pierre (2023). Contact flows and Birkhoff sections - Part 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20036503
URI : http://dx.doi.org/10.24350/CIRM.V.20036503
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See Also
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[Multi angle]
Contact flows and Birkhoff sections - Part 3
/ Author of the conference Vaugon, Anne ; Author of the conference Dehornoy, Pierre.
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[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.
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[Multi angle]
Microlocal methods for Anosov flows - Part 3
/ Author of the conference Guillarmou, Colin.
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[Multi angle]
Microlocal methods for Anosov flows - Part 2
/ Author of the conference Guillarmou, Colin.
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[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]
Microlocal methods for Anosov flows - Part 1
/ Author of the conference Guillarmou, Colin.
-
[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