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SUMMARY:Rylee Lyman (Tufts)
DTSTART:20200602T153000Z
DTEND:20200602T160000Z
DTSTAMP:20260423T020956Z
UID:GaTO/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/12/">Ou
 ter automorphisms of free Coxeter groups</a>\nby Rylee Lyman (Tufts) as pa
 rt of Geometry and topology online\n\n\nAbstract\nA famous theorem of Birm
 an and Hilden\nprovides a close link between the mapping class group of a\
 npunctured sphere and the centraliser\, in the mapping class\ngroup of a c
 losed surface\, of a hyperelliptic involution.\nThere is a group theory an
 alogue of this in Out(\\(F_n\\))\, the\nouter automorphism group of a free
  group.  Namely\, the outer\nautomorphism of a <i>free Coxeter group</i> i
 s linked to the\ncentraliser\, in Out(\\(F_n\\))\, of a hyperelliptic invo
 lution.\nIn this talk we will meet the outer automorphism group of a\nfree
  Coxeter group\, try to understand the analogy with mapping\nclass groups\
 , and survey some recent results and interesting\nquestions.\n
LOCATION:https://researchseminars.org/talk/GaTO/12/
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