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SUMMARY:On the Naruse hook length formula and mixing times
DTSTART:20260430T120000Z
DTEND:20260430T130000Z
DTSTAMP:20260411T124000Z
UID:indico-event-15369@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lucas Teyssier (IECL)\n\nIn 2014\, Naruse discovered
  a generalization of the hook-length formula\, which enables computing the
  number of standard Young tableaux of a skew Young diagram. Using this for
 mula\, we established optimal asymptotic bounds on the characters of symme
 tric groups\, which are also the eigenvalues of conjugacy invariant random
  walks on symmetric groups\; and derived optimal estimates of the mixing t
 imes for these walks (L^2 bounds and limiting profiles).\nThe first half o
 f the talk will be devoted to presenting the Naruse hook-length formula. T
 he second will explain how to use this formula some consequences of these 
 bounds for mixing times. The talk mainly focuses on Sections 2 and 3 of th
 e article https://arxiv.org/pdf/2503.12735.\n\nhttps://indico.math.cnrs.fr
 /event/15369/
LOCATION:Fokko du Cloux (ICJ)
URL:https://indico.math.cnrs.fr/event/15369/
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