Eingeladener Vortrag am Institute for Advanced Study (Princeton) von Goulnara Arzhantseva

20.04.2021

Computer Science and Discrete Mathematics Program: Stability and Testability research seminar

Approximations of infinite groups

We discuss various (still open) questions on approximations of finitely generated groups, focusing on finite-dimensional approximations such as residual finiteness and soficity. We survey our results on the existence, stability and quantification of metric approximations. We suggest a few conjectures, e.g. on Gromov hyperbolic groups and their infinite monster limits.

Based on joint works with Liviu Paunescu (Bucharest).

 School of Mathematics, Institute for Advanced Study, Princeton