Graduate Groups and Dynamics Seminar
Robert Kozma
UIC
Tarski's theorem - non-amenable groups are paradoxical
Abstract: The basis for the Hausdorff-Banach-Tarski "paradox"
is the fact that the free group $F_2$, and therefore any group containing $F_2$,
admits a paradoxical decomposition.
Amenable groups have no paradoxical decompositions.
While not all n-n-amenable groups contain $F_2$, Tarski proved that
every non-amenable group admits a paradoxical decomposition.
The talk presents a proof of this theorem.
Tuesday October 2, 2018 at 3:00 PM in 1227 SEO