On the (path-)connectedness of the space of commuting diffeomorphisms of 1-manifolds

Apparaît dans la collection : 2024 - T2 - WS1 - Low dimensional actions

I will present the ideas and techniques of proof of a result in collaboration with Hélène Eynard-Bontemps: the space of commuting diffeomorphisms with absolute continuous derivartive of a compact 1-manifold is path connected. Several open questions will be addressed.

Informations sur la vidéo

Date de captation 29/04/2024
Date de publication 29/04/2024
Institut IHP
Licence CC BY-NC-ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Mandarine Audiovisuel
Format MP4
Lieu IHP - Hermite Amphitheater

Données de citation

DOI 10.57987/IHP.2024.T2.WS1.004
Citer cette vidéo Navas, Andres (29/04/2024). On the (path-)connectedness of the space of commuting diffeomorphisms of 1-manifolds. IHP. Audiovisual resource. DOI: 10.57987/IHP.2024.T2.WS1.004
URL https://dx.doi.org/10.57987/IHP.2024.T2.WS1.004

Domaine(s)

Systèmes dynamiques

Bibliographie

The space of $C^{1+ac}$ actions of $\mathbb{Z}^d$ on a one-dimensional manifold is path-connected / Hélène Eynard-Bontemps & Andrés Navas, with an appendix in collaboration with Théo Virot. arXiv:2306.17731