Quantitative measure equivalence between finitely generated groups

Vortrag von Prof. Dr. Romain Tessera

Datum: 18.12.19  Zeit: 17.15 - 18.15  Raum: ETH CANCELLED

We initiate a quantitative study of measure equivalence (and orbit equivalence) between finitely generated groups that extends the classical setting of Lp measure equivalence. Orstein Weiss' theorem says that all amenable groups are orbit equivalent. Here we investigate quantitative versions of this result. We also study the stability of hyperbolicity under Lp measure equivalence.