myths, realities, and futures
15:00
Profinite rigidity of group extensions
Abstract
Profinite rigidity explores the extent to which non-isomorphic groups can be distinguished by their finite quotients. Many interesting examples of this phenomenon arise in the context of group extensions—short exact sequences of groups with a fixed kernel and quotient. This talk will outline two main mechanisms that govern profinite rigidity in this setting and provide concrete examples of families of extensions that cannot be distinguished by their finite quotients.
The talk is based on my DPhil thesis.
Together with colleagues at the Warwick Mathematics Institute, we have two fantastic fully funded collaborative projects for a Fall 2025 start as part of the HetSys CDT at Warwick, with different cross-disciplinary teams and a common theme of multi-physics interfacial fluid dynamics (links complete with embarrassing videos!):