FSUMATH

Alan Reid


MATHEMATICS COLLOQUIUM

Speaker: Alan Reid
Title: Profinite Rigidity in Low-Dimensions
Affiliation: Rice University
Date: Friday, February 9, 2018
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. A finitely generated residually finite group G is called profinitely rigid if whenever a finitely generated residually finite group H has a profinite completion isomorphic to that of G, then H is isomorphic to G. Although by now there are many constructions of groups that are not profinitely rigid, there seems to be a growing sense that when G is a free group, surface group or the fundamental group of a finite volume hyperbolic 3-manifold, things are different and these will be profinitely rigid. This talk will discuss motivating examples, and survey some recent work on this topic.