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SUMMARY:Žan Grad (Instituto Superior Técnico)
DTSTART:20230509T150000Z
DTEND:20230509T160000Z
DTSTAMP:20260423T022718Z
UID:Geolis/120
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/120/"
 >Lie categories</a>\nby Žan Grad (Instituto Superior Técnico) as part of
  Geometria em Lisboa (IST)\n\n\nAbstract\nWhat does it mean for a category
  to be endowed with a compatible differentiable structure? In this talk\, 
 we will discuss the interplay of a categorical structure with that of a sm
 ooth manifold\, and show how to describe such categories infinitesimally\,
  similarly as to how we construct the Lie algebra of a Lie group. We will 
 generalise the notion of rank from linear algebra to morphisms of Lie cate
 gories\, and introduce the notion of an extension of a Lie category to a g
 roupoid. Examples of Lie categories arising in differential geometry and i
 n physics will be highlighted.\n
LOCATION:https://researchseminars.org/talk/Geolis/120/
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