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SUMMARY:Carl-Fredrik Nyberg Brodda (Kias)
DTSTART:20260922T130000Z
DTEND:20260922T140000Z
DTSTAMP:20261006T044749Z
UID:UEAPS/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/79/">P
 rofinite non-rigidity of braid groups and free-by-cyclic groups</a>\nby Ca
 rl-Fredrik Nyberg Brodda (Kias) as part of ANTLR seminar\n\nLecture held i
 n C.HALL 01.10.\n\nAbstract\nWhen is a finitely generated algebraic object
  determined by its finite quotients? This is the core question underlying 
 profinite rigidity. I will give an introduction to some of the key ideas b
 ehind profinite rigidity\, and discuss some recent results concerning the 
 non-rigidity of some groups. In particular\, I will show that braid groups
  are not profinitely rigid\, giving the first known examples of profinitel
 y non-rigid mapping class groups. I will also give a brief overview of a r
 ecent result that free-by-cyclic groups are not relatively profinitely rig
 id\, which answered a question of Bridson & Reid from 2015. Time permittin
 g I will also discuss what happens in the semigroup setting\, especially f
 or free semigroups.\n
LOCATION:https://researchseminars.org/talk/UEAPS/79/
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