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SUMMARY:Lory Aintablian (MPIM Bonn)
DTSTART:20250402T150000Z
DTEND:20250402T163000Z
DTSTAMP:20260422T174128Z
UID:tandg/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/28/">D
 ifferentiation of groupoid objects in tangent categories</a>\nby Lory Aint
 ablian (MPIM Bonn) as part of Topology and Geometry Seminar (Texas\, Kansa
 s)\n\n\nAbstract\nThe infinitesimal counterpart of a Lie group(oid) is its
  Lie algebra(oid). I will show that the differentiation procedure works in
  any category with an abstract tangent structure in the sense of Rosicky\,
  which was later rediscovered by Cockett and Cruttwell. Mainly\, I will co
 nstruct the abstract Lie algebroid of a differentiable groupoid in a carte
 sian tangent category $C$ with a scalar $R$-multiplication\, where $R$ is 
 a ring object of $C$. Examples include differentiation of infinite-dimensi
 onal Lie groups\, elastic diffeological groupoids\, etc. This is joint wor
 k with Christian Blohmann.\n
LOCATION:https://researchseminars.org/talk/tandg/28/
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