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SUMMARY:Functoriality of Lie groupoid convolution algebras [MPIM]
DTSTART:20251022T083000Z
DTEND:20251022T100000Z
DTSTAMP:20260814T064100Z
UID:indico-event-845@math-events.uni-bonn.de
DESCRIPTION:Speakers: David Aretz (MPIM)\n\nHigher Differential Geometry S
 eminar\nI will discuss the following guiding slogan: The noncommutative di
 fferential geometry of a differentiable stack is encoded in the convolutio
 n algebra of smooth functions on a Lie groupoid presentation. I will intr
 oduce the bornological convolution algebra associated to a Lie groupoid an
 d show how this construction assembles into a 2-functor. In particular\, t
 his functorial perspective implies Morita invariance. I will also describ
 e several examples illustrating how aspects of the transverse geometry of 
 a Lie groupoid manifest algebraically in the convolution algebra. This is
  joint work with Christian Blohmann.\n\nhttps://math-events.uni-bonn.de/ev
 ent/845/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/845/
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