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SUMMARY:Profinitely Rigid Seifert Fibered Spaces and Grothendieck’s Prob
 lem - Ryan Spitler (Rice University)
DTSTART:20220513T124500Z
DTEND:20220513T134500Z
UID:TALK173033@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:One natural starting point when studying a group is to investi
 gate its finite quotients\, and one might wonder how much these finite quo
 tients can detect about the group in question. In particular\, many have r
 ecently been interested in distinguishing fundamental groups of 3-manifold
 s using just their finite quotients. I will discuss a few infinite familie
 s of Seifert fibered spaces whose fundamental groups can be shown to be pr
 ofinitely rigid\; each of these groups can be distinguished from all other
  finitely generated\, residually finite groups by their finite quotients. 
 I will also discuss how these 3-manifold groups can be used to create inte
 resting examples related to Grothendieck's problem on profinite completion
 s. This is joint work with Martin Bridson and Alan Reid.
LOCATION:MR15
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