“Profinite detection of free factors”
Martedì 3 Marzo 2026, ore 17:00 - Aula 2AB40 - Henrique Souza (Universidade Autónoma de Madrid)
Abstract
How much of an infinite group can be recovered from its finite quotients? Often, not much, but when restricted to certain classes of groups they become surprisingly effective at describing the group structure. After introducing free products and free factors, I’ll explain how such decompositions leave traces in finite quotients and discuss why turning those traces into detection theorems is subtle, highlighting examples, recent progress and open problems.
