English
Which geodesic flows are left-handed?
Post-edited
Auteurs : Dehornoy, Pierre (Auteur de la conférence)
CIRM (Editeur )
37C10 - Vector fields, flows, ordinary differential equations
37C15 - Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
37C27 - periodic orbits of vector fields and flows
57M25 - Knots and links in $S^3$
CIRM (Editeur )
Résumé :
Left-handed flows are 3-dimensional flows which have a particular topological property, namely that every pair of periodic orbits is negatively linked. This property (introduced by Ghys in 2007) implies the existence of as many Bikrhoff sections as possible, and therefore allows to reduce the flow to a suspension in many different ways. It then becomes natural to look for examples. A construction of Birkhoff (1917) suggests that geodesic flows are good candidates. In this conference we determine on which hyperbolic orbifolds is the geodesic flow left-handed: the answer is that yes if the surface is a sphere with three cone points, and no otherwise.
dynamical system - geodesic flow - knot - periodic orbit - global section - linking number - fibered knot
Codes MSC : dynamical system - geodesic flow - knot - periodic orbit - global section - linking number - fibered knot
37C10 - Vector fields, flows, ordinary differential equations
37C15 - Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
37C27 - periodic orbits of vector fields and flows
57M25 - Knots and links in $S^3$
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 28/04/14 Date de Captation : 27/11/13 Sous Collection : Research School Catégorie arXiv : Geometric Topology ; Dynamical Systems Domaine(s) : Topologie ; Systèmes Dynamiques & EDO Format : QuickTime (.mov) Durée : 01:05:24 Audience : Chercheurs Download : https://videos.cirm-math.fr/2013-11-27_Dehornoy.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean-Morlet Chair - Doctoral school : Young mathematicians in dynamical systems / Chaire Jean-Morlet - Ecole doctorale : Paroles aux jeunes chercheurs en systèmes dynamiquesOrganisateurs de la Rencontre : Dal'Bo, Françoise ; Funar, Louis ; Hasselblatt, Boris ; Schapira, Barbara Dates : 25/11/13 - 29/11/13 Année de la rencontre : 2013 URL de la Rencontre : https://www.chairejeanmorlet.com/1097.html
Données de citation
DOI : 10.24350/CIRM.V.18479303Citer cette vidéo: Dehornoy, Pierre (2013). Which geodesic flows are left-handed?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18479303 URI : http://dx.doi.org/10.24350/CIRM.V.18479303 |
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