Department of Mathematics

Nov 25, 2016 from 05:15 PM to 06:15 PM


The goal of the lecture is to introduce the notion of profinite completion of a group, which is a way to encode all finite quotients of the group. We will focuse on finitely generated and residually finite groups and discuss the rigidity problem,that is to say when the profinite completion determines the group. In particular we will consider the case of 3-manifold groups and what properties or invariants of a compact 3-manifold can be detected by the profinite completion of its fundamental group, like for example the geometric structures, the simplicial volume, the Thurston norm, the fiberness...)


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