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SUMMARY:On the congruence subgroup property for mapping class groups of su
 rfaces - Henry Wilton\, Cambridge
DTSTART:20250214T134500Z
DTEND:20250214T144500Z
UID:TALK224413@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:I will relate two notorious open questions.  The first asks wh
 ether every hyperbolic group is residually finite. The second\, the  congr
 uence subgroup property\, relates the finite-index subgroups of mapping cl
 ass groups of surfaces to the topology of the underlying surface. I will e
 xplain why\, if every hyperbolic group is residually finite\, then mapping
  class groups enjoy the congruence subgroup property. I will then give som
 e applications to the profinite rigidity of hyperbolic 3-manifolds.
LOCATION:MR13
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