Gromov's  asymptotic dimension has beenrecently extended to the Borel setting and used to prove new results

on the problem of determining when Borel equivalencerelations are hyperfinite. I will review Gromov's definition and

the new one and explain how these are used to provide newclasses of examples of amenable groups that have the property 

that their Borel actions define hyperfinite equivalencerelations. The talk is based on a recent preprint

by C. Conley, S. Jackson, A. Marks,  B. Seward and R.Tucker-Drob with the title above.

Zoom link:

https://huji.zoom.us/j/87131022302?pwd=SnRwSFRDNXZ4QVFKSnJ1Wit2cjZtdz09