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Tuesday, November 12, 2019
3:00 PM - 4:00 PM
Linde Hall 387

Logic Seminar

Hyperfinite actions with the same invariant random subgroup
Forte Shinko, Department of Mathematics, Caltech,

Let Gamma be a countable group. The invariant random subgroup of a pmp action of Gamma on X is the measure on the space of subgroups of Gamma obtained by pushing forward the measure on X via the map sending x to its stabilizer. A result of Elek states that if two pmp actions of Gamma have the same invariant random subgroup and one is hyperfinite, then they are strongly equivalent, so in particular they are both hyperfinite. We present a proof due to Giraud.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.