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Geometry & Topology - Ryan Spitler - Profinite Rigidity and 3-Manifold Groups


HH 312

Speaker: Ryan Spitler (McMaster University)

Title: Profinite Rigidity and 3-Manifold Groups

Abstract: The profinite completion of a group encodes the information of all of the group's finite quotients. It is interesting to consider what information about a group can be determined from its profinite completion. Similarly, one can try to detect information about a 3-manifold from the profinite completion of its fundamental group. I will survey some of what is known on these topics and explain how my work fits into the picture.
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