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SUMMARY:Higher generalized morphisms and Morita equivalence of geometric 
 ∞-groupoids [MPIM]
DTSTART:20260211T093000Z
DTEND:20260211T110000Z
DTSTAMP:20260417T220900Z
UID:indico-event-1125@math-events.uni-bonn.de
DESCRIPTION:Speakers: Christian Blohmann (MPIM)\n\nHigher Differential Geo
 metry Seminar\nI will carefully review the various equivalent definitions 
 of principal $G$-bundles (free and proper $G$-action\, fiber bundle with f
 ree and transitive $G$-action on fibers\, local transition functions on co
 ver satisfying cocycle condition\, classifying map to $BG$). Then I show h
 ow these notions generalize to Lie ∞-groupoids. The main result is that 
 we can still move between principal groupoid bibundles\, anafunctors\, and
  classifying maps in the ∞-categorical setting. This implies that we hav
 e a consistent notion of Morita equivalence that provides a localization o
 f Lie ∞-groupoids at weak equivalences. Our approach also works for othe
 r "geometric" categories such as Banach manifolds\, topological spaces\, d
 iffeological spaces\, affine schemes\, etc. that are equipped with a Groth
 endieck topology satisfying a number of axioms. This is joint work with Ch
 enchang Zhu and Kalin Krishna.\n\nhttps://math-events.uni-bonn.de/event/11
 25/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1125/
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