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Random processes on symmetric spaces and discrete subgroups

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Authors : Fraczyk, Mikolaj (Author of the conference)
CIRM (Publisher )

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Abstract : I will explain how certain probabilistic methods can be used to study the discrete groups of semisimple Lie groups. I will define the space of subgroups with the Chabauty topology and introduce two useful classes of random subgroups - invariant ans stationary random subgroups. In higher rank thses classes admit nice classification witch can be usesd to prove that a confined subgroup of a simple higher rank group must be a lattice.

Keywords : Random walks; symmetric spaces; discrete subgroups

MSC Codes :

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 07/05/2024
    Conference Date : 15/04/2024
    Subseries : Research School
    arXiv category : Group Theory ; Probability
    Mathematical Area(s) : Dynamical Systems & ODE ; Geometry ; Lie Theory and Generalizations ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 01:02:19
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-04-15_Fraczyk.mp4

Information on the Event

Event Title : Group Actions and Rigidity: Around the Zimmer Program / Actions de Groupes et Rigidité : Autour du programme de Zimmer
Event Organizers : Brown, Aaron ; Fisher, David ; Mann, Kathryn ; Pecastaing, Vincent ; Spatzier, Ralf
Dates : 15/04/2024 - 19/04/2024
Event Year : 2024
Event URL : https://conferences.cirm-math.fr/2968.html

Citation Data

DOI : 10.24350/CIRM.V.20159003
Cite this video as: Fraczyk, Mikolaj (2024). Random processes on symmetric spaces and discrete subgroups. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20159003
URI : http://dx.doi.org/10.24350/CIRM.V.20159003

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