Seminar

An invariant random subgroup (IRS) of a group is a random subgroup with a conjugacy-invariant distribution. IRS-es can be used to encode the stabilizer structure of measure preserving actions and in many senses, they tend to behave like normal subgroups. On the other hand, they also carry geometric information and weak convergence of IRS-es translates to a stochastic sampling convergence that has been introduced by Benjamini and Schramm for finite graphs. In the talk I will introduce IRS-es and present recent results.