Logic Seminar

Clinton ConleyCarnegie Mellon University
Borel asymptotic dimension, hyperfiniteness, and lamplighters

Friday, September 29, 2023 - 2:55pm
Malott 205

We introduce a “purely Borel” version of Gromov’s notion of asymptotic
dimension, and show how to use it to establish hyperfiniteness of
various equivalence relations. Time permitting, we discuss the
hyperfiniteness of orbit equivalence relations of free actions of
lamplighter groups. This is joint work with Jackson, Marks, Seward,
and Tucker-Drob.