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SUMMARY:Prof. Melanie Matchett Wood (Harvard University)
DTSTART:20220330T123000Z
DTEND:20220330T133000Z
DTSTAMP:20260423T005707Z
UID:tmc-dls/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tmc-dls/30/"
 >Finite quotients of 3-manifold groups</a>\nby Prof. Melanie Matchett Wood
  (Harvard University) as part of TMC Distinguished Lecture Series\n\n\nAbs
 tract\nFor any finite group G\, it is easy to see there exists a compact\,
  oriented 3 dimensional manifold M with G as a quotient of the fundamental
  group of M.  However\, we can ask more detailed questions about the possi
 ble finite quotients of 3-manifold groups\, e.g. for G and H finite groups
 \, does there exist a 3-manifold group with G as a quotient but not H as a
  quotient?  We answer all such questions.  To prove non-existence\, we pro
 ve new parity properties of the fundamental groups of 3-manifolds.  To pro
 ve existence of 3-manifolds with certain finite quotients but not others\,
  we use a probabilistic method\, by first proving a formula for the distri
 bution of the fundamental group of a random 3-manifold\, in the sense of D
 unfield-Thurston.  This is joint work with Will Sawin.\n
LOCATION:https://researchseminars.org/talk/tmc-dls/30/
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