Speaker: Alan Reid, Rice University, USA
January 4, 2024 04:00 PM
- 05:00 PM
Abstract:
We will discuss recent work (with Bridson and Spitler) that constructs examples of finitely presented residually finite groups G that are profinitely rigid amongst finitely presented groups but not amongst finitely generated groups. This will connect with Bridson’s talk in that a key step is to reduce the failure of profinite rigidity to that of Grothendieck pairs, allowing us to construct infinitely many finitely generated subgroups Pn < G for which (G, Pn) is a Grothendieck pair (in particular G and Pn have isomorphic profinite completions).