Graduate Groups and Dynamics Seminar
Alex Furman
UIC
On some theorems of Margulis, Stuck-Zimmer, Peterson and IRS
Abstract: Margulis's Normal Subgroup Theorem states that for an irreducible lattice $\Gamma$ in a higher rank center-free
semi-simple Lie group $G$ does not have normal subgroups of infinite index.
Stuck and Zimmer have proved that every non-transitive p.m.p. ergodic action of $G$ is essentially free.
This strengthens Margulis' NST.
More recently, Peterson proved character super-rigidity for higher rank lattices,
strengthening the result of Stuck-Zimmer.
In the talk, I will discuss the relations between these statements and will sketch some ideas of the proofs.
Wednesday March 20, 2019 at 4:00 PM in 612 SEO