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Profinite rigidity of graph manifolds

Profinite rigidity of graph manifolds
Datum:

14.06.2018

Ort:

2.059 (20.30)

Referent:

Gareth Wilkes

Zeit:

15:45

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 illustrate by means of examples the way in which such manifolds may arise. I will also discuss the implications of this result for the mapping class group.