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Chapitres

Random subgroups, totally non free actions and factor representations

De Rostislav Grigorchuk

Apparaît dans les collections : Group representations in dynamical systems and geometry / Représentations des groupes en géométrie et dynamique, Exposés de recherche

I will present results of three studies, performed in collaboration with M.Benli, L.Bowen, A.Dudko, R.Kravchenko and T.Nagnibeda, concerning the invariant and characteristic random subgroups in some groups of geometric origin, including hyperbolic groups, mapping class groups, groups of intermediate growth and branch groups. The role of totally non free actions will be emphasized. This will be used to explain why branch groups have infinitely many factor representations of type $II_1$.

Informations sur la vidéo

Date de captation 30/06/2015
Date de publication 15/07/2015
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18775603
Citer cette vidéo Grigorchuk, Rostislav (30/06/2015). Random subgroups, totally non free actions and factor representations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18775603
URL https://dx.doi.org/10.24350/CIRM.V.18775603

Domaine(s)

Bibliographie

[1] Benli, M.G., Grigorchuk, R., & Nagnibeda, T. (2015). Universal groups of intermediate growth and their invariant random subgroups. <arXiv:1503.01705> - http://arxiv.org/abs/1503.01705
[2] Bowen, L., Grigorchuk, R., & Kravchenko, R. (2013). Invariant random subgroups of the lamplighter group. <arXiv:1206.6780> - http://arxiv.org/abs/1206.6780
[3] Bowen, L., Grigorchuk, R., & Kravchenko, R. (2015). Characteristic random subgroups of geometric groups and free abelian groups of infinite rank. <arXiv:1402.3705> - http://arxiv.org/abs/1402.3705
[4] Dudko, A., & Grigorchuk, R. (2014). On diagonal actions of branch groups and the corresponding characters. <arXiv:1412.5476> - http://arxiv.org/abs/1412.5476

Codes MSC

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