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X-FROM-URL:https://eom.sdu.dk/events/ical/00e8cae1-76ab-436d-ad8a-de4a4376
 353e
X-WR-CALNAME:QM Research Seminar: Improved homological stability for the m
 oduli of handlebodies
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260720T025743Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Oscar Bendix Harr [/b](University of Copenhagen) [
 nl][nl]\n[b]Abstract:[/b][nl] Not much is known about the cohomology of t
 he moduli space of handlebodies (equivalently\, the cohomology of handleb
 ody mapping class groups) except what it stabilizes to\, by Hatcher's ana
 logue of the Madsen--Weiss theorem. Hatcher and Wahl have shown that the 
 degree d cohomology of the moduli space of genus g handlebodies is stable
  for d less than roughly g/2. I will discuss some work from my PhD thesis
  (in preparation) which expands this range to g roughly less than 2g/3\, 
 using the methods of Galatius\, Kupers\, and Randal-Williams. By a comput
 ation of Morita\, this is the optimal range for homological stability for
  moduli spaces of handlebody groups. A similar argument shows that the co
 homology of automorphism groups of free groups Aut(F_n) is stable in degr
 ees roughly less than 2n/3\, which improves the best known range for inte
 ger coefficients. Time provided\, I will also say something about ongoing
  work on the cohomology outside the stable range.\n[nl]\n[nl]
DTEND:20241007T140000Z
DTSTAMP:20260720T025743Z
DTSTART:20241007T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Improved homological stability for the moduli
  of handlebodies
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