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Random subgroups, totally non free actions and factor representations

By Rostislav Grigorchuk

Appears in 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 $II_1$.

Information about the video

Date of recording 30/06/2015
Date of publication 15/07/2015
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18775603
Cite this video 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

Domain(s)

Bibliography

[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

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