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Random processes on symmetric spaces and discrete subgroups

By Mikolaj Fraczyk

Appears in collection : Group Actions and Rigidity: Around the Zimmer Program / Actions de Groupes et Rigidité : Autour du programme de Zimmer

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.

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Citation data

  • DOI 10.24350/CIRM.V.20159003
  • Cite this video Fraczyk, Mikolaj (15/04/2024). Random processes on symmetric spaces and discrete subgroups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20159003
  • URL https://dx.doi.org/10.24350/CIRM.V.20159003

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