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UID:20260413T063930EDT-6045b5vEBw@132.216.98.100
DTSTAMP:20260413T103930Z
DESCRIPTION:Title: Classifying principal bundles for smooth 2-groups\n\nAbs
 tract: A 2-group is a categorified version of a group: a category with a m
 ultiplication operator\, for which all group axioms hold up to natural iso
 morphism. Similarly\, there is a notion of a smooth 2-group\, and of princ
 ipal 2-group bundles. We classify 2-group bundles in terms of Čech data or
  transition functions\, which enables us to give a concrete description of
  the moduli space of principal 2-group bundles.\n\nIn the case of a finite
  2-group\, we prove that this moduli space gives a 2-fibration over the mo
 duli space of flat principal bundles for an ordinary finite group\, and pr
 ovides a categorification of the Freed–Quinn line bundle\, a mapping-class
 -group-equivariant line bundle arising in Dijkgraaf–Witten theory for the 
 finite group. We expect analogous results to hold in the smooth setting\, 
 with applications to the Chern-Simons theory of a Lie group. This is joint
  work with Daniel Berwick-Evans and Laura Murray.\n\nLocation: UQAM PK-567
 5\n
DTSTART:20260408T180000Z
DTEND:20260408T190000Z
SUMMARY:Emily Cliff (Université de Sherbrooke)
URL:/mathstat/channels/event/emily-cliff-universite-de
 -sherbrooke-372284
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