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SUMMARY:Sam Hughes (University of Oxford)
DTSTART:20231207T140500Z
DTEND:20231207T150000Z
DTSTAMP:20260423T003256Z
UID:GaTO/93
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/93/">Ce
 ntralisers and classifying spaces for $\\mathrm{Out}(F_N)$</a>\nby Sam Hug
 hes (University of Oxford) as part of Geometry and topology online\n\nLect
 ure held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\n
 Abstract\nIn this talk I will outline reduction theory for mapping classes
  and explain various attempts to construct similar machinery for elements 
 of $\\mathrm{Out}(F_N)$.  I will then present a new reduction theory for s
 tudying centralisers of elements in $\\mathrm{IA}_3(N)$\, the finite index
  level three congruence subgroup of $\\mathrm{Out}(F_N)$.  Using this I wi
 ll explain an application to the classifying space for virtually cyclic su
 bgroups\, a space notable for its appearance in the Farrell--Jones Conject
 ure. \n\nBased on joint work with Yassine Guerch and Luis Jorge Sanchez Sa
 ldana.\n
LOCATION:https://researchseminars.org/talk/GaTO/93/
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