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SUMMARY:The quotients of the congruence subgroups of braid groups - Peter 
 Patzt\, University of Oklahoma
DTSTART:20220810T150000Z
DTEND:20220810T160000Z
UID:TALK177392@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:The congruence subgroups of braid groups arise from a congruen
 ce condition on the integral Burau representation B_n -> GL_{n−1}(Z). We
  solve a problem posed by Dan Margalit\, what the image of such a congruen
 ce subgroup is in GL_{n−1}(Z). We describe also the quotients of the bra
 id groups by their congruence subgroups in terms of symplectic congruence 
 subgroups. This is joint work with Wade Bloomquist and Nancy Scherich.
LOCATION:MR13
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