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Recent progress on groups of area-preserving homeomorphisms
Multi angle
Authors : Humilière, Vincent (Author of the conference)
CIRM (Publisher )
53D40 - Floer homology and cohomology, symplectic aspects
37J06 - General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants
CIRM (Publisher )
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Abstract :
Unlike other similar groups, these groups remained very poorly understood for a long time. I'll review some recent progress in two directions: (non)-simplicity and the existence of quasimorphisms. I'll also give some ideas on the proofs which are based on tools from symplectic topology. This is based on joint works with Dan Cristofaro-Gardiner, Cheuk-Yu Mak, Sobhan Seyfaddini, and Ivan Smith.
Keywords : C0 symplectic geometry; group of area preserving homeomorphisms
MSC Codes : Keywords : C0 symplectic geometry; group of area preserving homeomorphisms
53D40 - Floer homology and cohomology, symplectic aspects
37J06 - General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 10/01/2025 Conference Date : 10/12/2024 Subseries : Research talks arXiv category : Symplectic Geometry Mathematical Area(s) : Dynamical Systems & ODE ; Geometry ; Topology Format : MP4 (.mp4) - HD Video Time : 00:58:13 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-12-10_Humiliere.mp4 
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Information on the Event
Event Title : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de DifféomorphismeEvent Organizers : Eynard-Bontemps, Hélène ; Meigniez, Gaël ; Nariman, Sam ; Yazdi, Mehdi Dates : 09/12/2024 - 13/12/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3082.html
Citation Data
DOI : 10.24350/CIRM.V.20274603Cite this video as: Humilière, Vincent (2024). Recent progress on groups of area-preserving homeomorphisms. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20274603 URI : http://dx.doi.org/10.24350/CIRM.V.20274603 |
See Also
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Bibliography
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