From Hamiltonian Dynamics to Symplectic Topology

Collection From Hamiltonian Dynamics to Symplectic Topology

Organizer(s) Damian, Mihai ; Hofer, Helmut ; Humilière, Vincent ; Oancea, Alexandru ; Vichery, Nicolas

Date(s) 26/04/2021 - 30/04/2021

linked URL https://conferences.cirm-math.fr/2558.html

00:00:00 / 00:00:00

2 5

On the algebraic structure of groups of area-preserving homeomorphisms

By Sobhan Seyfaddini

simplicity

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.

Information about the video

Date of recording 26/04/2021
Date of publication 17/05/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19751103
Cite this video Seyfaddini, Sobhan (26/04/2021). On the algebraic structure of groups of area-preserving homeomorphisms. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19751103
URL https://dx.doi.org/10.24350/CIRM.V.19751103

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