Title：Measure equivalence superrigidity for some generalized Higman groups
Speakers：Jingyin Huang (Ohio State University)
Time: Thursday, October 13, 2022, 20:30-22:00.
Online access: Zoom Meeting ID：882 8540 7533, Password：028422
Link：https://zoom.us/j/88285407533?pwd=NFlsWlZlb2F3c3VmMHBqOXVud1NpQT09
Abstract：In the 1950s, Higman introduced the first class of examples of infinite finitely presented groups without any non-trivial finite quotient. We study Higman groups from the viewpoint of measure equivalence - a notion introduced by Gromov as a measurable counterpart to quasi-isometry. For most Higman groups and some generalizations, we prove a strong measure equivalence rigidity theorem. In this talk, I’ll sketch the proof, discuss some of the consequences, and compare to some other measure equivalence rigidity/flexibility results in the literature. This is joint work with Camille Horbez.
More information about the Functional Analysis Seminar can be found here.
