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On the algebraic structure of groups of area-preserving homeomorphisms
Virtualconference
Autoren : Seyfaddini, Sobhan (Auteur de la Conférence)
CIRM (Editeur )
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
53D40 - Floer homology and cohomology, symplectic aspects
53DXX - Symplectic geometry, contact geometry
CIRM (Editeur )
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Résumé :
In the late 70s, Fathi showed that the group of compactly supported volume-preserving homeomorphisms of the ball is simple in dimensions greater than 2. We present our recent article which proves that the remaining group, that is area-preserving homeomorphisms of the disc, is not simple. This settles what is known as the simplicity conjecture in the affirmative. This is joint work with Dan Cristofaro-Gardiner and Vincent Humiliere.
Keywords : simplicity; area-preserving homeomorphisms; disc; sphere; periodic Floer homology
Codes MSC : Keywords : simplicity; area-preserving homeomorphisms; disc; sphere; periodic Floer homology
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
53D40 - Floer homology and cohomology, symplectic aspects
53DXX - Symplectic geometry, contact geometry
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 17/05/2021 Date de captation : 26/04/2021 Sous collection : Research School arXiv category : Symplectic Geometry ; Dynamical Systems Domaine : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Durée : 00:57:47 Audience : Researchers Download : https://videos.cirm-math.fr/2021-04-26_Seyfaddini.mp4 
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Outreach
Nom de la rencontre : From Hamiltonian Dynamics to Symplectic TopologyOrganisateurs de la rencontre : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas Dates : 26/04/2021 - 30/04/2021 Année de la rencontre : 2021 URL Congrès : https://conferences.cirm-math.fr/2558.html
Données de citation
DOI : 10.24350/CIRM.V.19751103Citer cette vidéo: Seyfaddini, Sobhan (2021). On the algebraic structure of groups of area-preserving homeomorphisms. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19751103 URI : http://dx.doi.org/10.24350/CIRM.V.19751103 |
Siehe auch
- [Virtualconference] On symplectic radii of $\ell_p$-products / Auteur de la Conférence Ostrover, Yaron.
- [Virtualconference] On the Viterbo conjecture about Lagrangian spectral norms / Auteur de la Conférence Guillermou, Stéphane.
- [Virtualconference] Inductive limit which appears in Lagrangian Floer theory / Auteur de la Conférence Fukaya, Kenji.
- [Virtualconference] Symplectic Landau-Ginzburg models and their Fukaya categories / Auteur de la Conférence Auroux, Denis.
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