Français
On the algebraic structure of groups of area-preserving homeomorphisms
Virtualconference
Authors : Seyfaddini, Sobhan (Author of the conference)
CIRM (Publisher )
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
53D40 - Floer homology and cohomology, symplectic aspects
53DXX - Symplectic geometry, contact geometry
CIRM (Publisher )
Loading the player...
|
Abstract :
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
MSC Codes : 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
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/05/2021 Conference Date : 26/04/2021 Subseries : Research School arXiv category : Symplectic Geometry ; Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:57:47 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-04-26_Seyfaddini.mp4 
|
Information on the Event
Event Title : From Hamiltonian Dynamics to Symplectic TopologyEvent Organizers : Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas Dates : 26/04/2021 - 30/04/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2558.html
Citation Data
DOI : 10.24350/CIRM.V.19751103Cite this video as: 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 |
See Also
- [Virtualconference] On symplectic radii of $\ell_p$-products / Author of the conference Ostrover, Yaron.
- [Virtualconference] On the Viterbo conjecture about Lagrangian spectral norms / Author of the conference Guillermou, Stéphane.
- [Virtualconference] Inductive limit which appears in Lagrangian Floer theory / Author of the conference Fukaya, Kenji.
- [Virtualconference] Symplectic Landau-Ginzburg models and their Fukaya categories / Author of the conference Auroux, Denis.
Bibliography
