Algebra/Topology seminar – University of Copenhagen

Algebra/Topology seminar

Gareth Wilkes (Oxford), Profinite rigidity of graph manifolds

Abstract: There has been recent interest in those properties of 3-manifolds which can be characterised by the behaviour of their finite quotients. In particular one may study the circumstances under which two non-homeomorphic 3-manifolds may have fundamental groups with the same finite quotients. I will describe the classification of those pairs of graph manifolds with this property, and give some examples. I will also discuss the implications of this result for the mapping class group.