On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 1 | Vidéo | Carmin.tv

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On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 1

De Andres Navas

Apparaît dans la collection : Foliations and Diffeomorphism Groups / Feuilletages et Groupes de Difféomorphisme

Studying the (closure of the) (semi-)conjugacy class of a given group action on a 1-manifold is interesting from many points of view. Depending on the manifold and/or the differentiability involved, one is faced with problems concerning small denominators, growth of groups / orbits, distortion elements, bounded cohomology, group orderability, etc. In this minicourse we will explore several general results on this topic such as the $C^1$ smoothing via (semi-)conjugacies of small group actions and obstructions in class $C^2$ and higher. We will also explore some of the ideas involved in the proof of the connectedness of the space of $\mathbb{Z}^d$ actions by diffeomorphisms of $C^{1+ac}$ regularity (obtained in collaboration with H. Eynard-Bontemps).

Informations sur la vidéo

Date de captation 09/12/2024
Date de publication 10/01/2025
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20275503
Citer cette vidéo Navas, Andres (09/12/2024). On conjugate actions in dimension 1: applications to deformation and distortion - Lecture 1 . CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20275503
URL https://dx.doi.org/10.24350/CIRM.V.20275503

Domaine(s)

Bibliographie

EYNARD-BONTEMPS, Hélène et NAVAS, Andrés. The space of $ C^{1+ ac} $ actions of $\mathbb {Z}^ d $ on a one-dimensional manifold is path-connected. arXiv preprint arXiv:2306.17731, 2023. - https://doi.org/10.48550/arXiv.2306.17731

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