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SUMMARY:Daniel Beltita (Institute of Mathematics "Simion Stoilow" of the R
 omanian Academy of Sciences)
DTSTART:20250219T123000Z
DTEND:20250219T133000Z
DTSTAMP:20260502T043715Z
UID:PHK-cohomology-seminar/120
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/120/">On the integrability of transitive Lie algebroids</a>\nby
  Daniel Beltita (Institute of Mathematics "Simion Stoilow" of the Romanian
  Academy of Sciences) as part of Prague-Hradec Kralove seminar Cohomology 
 in algebra\, geometry\, physics and statistics\n\n\nAbstract\nWe discuss a
 n approach to the integration problem for general transitive Lie algebroid
 s using two basic ingredients: the Čech cohomology and the generalization
  of smooth manifolds that was proposed by Raymond Barre under the name of 
 Q-manifolds. To this end we study the notion of Q-principal bundle\, i.e.\
 , a natural version of principal fibre bundles in the theory of Q-manifold
 s. We then prove that every transitive Lie algebroid arises from the Atiya
 h sequence of a Q-principal bundle and we give the interpretation of that 
 result in terms of groupoids. The presentation is based on joint work with
  Fernand Pelletier.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/120/
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