Workshop on Invariant Random Subgroups

Forgetting the group structure via Schreier graphs, invariant random subgroups in discrete groups can be regarded as random graphs satisfying an invariance property called unimodularity. In the continuous setting, one can translate IRSs in Lie groups into random Riemannian manifolds with an ad hoc invariance property, which makes sense beyond the locally symmetric setting.

• Ian Biringer, Omer Tamuz, Unimodularity of Invariant Random Subgroups, Trans. AMS 2016, Arxiv version.
• Miklós Abért, Ian Biringer, Unimodular measures on the space of all Riemannian manifolds , Arxiv preprint.