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Grothendieck's Problem for 3-Manifold Groups

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Alan Reid
U Texas/MPI
Mon, 2010-06-28 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
Topics in Topology

The following problem was posed by Grothendieck: Let $G$ be a finitely presented residually finite group and $u : H \to G$ the inclusion homomorphism of a finitely presented subgroup. Suppose that the extension $\hat u$ to the profinite completion is an isomorphism. Is $u$ an isomorphism? This talk will discuss this problem in the context of the fundamental groups of compact 3-manifolds.

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