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SUMMARY:Stability of leaves of Dirac structures
DTSTART:20260911T120000Z
DTEND:20260911T130000Z
DTSTAMP:20260910T060900Z
UID:indico-event-17257@indico.math.cnrs.fr
CONTACT:kellendonk@math.univ-lyon1.fr\;athomas@math.univ-lyon1.fr
DESCRIPTION:Speakers: Karandeep Singh (KU Leuven)\n\nDirac structures were
  introduced by T. Courant\, and can be used to describe classical phase sp
 aces in the presence of constraints. \nA Dirac structure over a manifold 
 M is a subbundle of TM + T*M satisfying an integrability condition\, and i
 t foliates M by presymplectic manifolds of possibly different dimensions. 
 Examples include Poisson structures\, symplectic structures and regular fo
 liations.\nGiven a compact leaf of the characteristic foliation\, it is na
 tural to consider the stability of the (presymplectic) leaf under small de
 formations of the Dirac structure. In the case that the Dirac manifold is 
 Poisson\, M. Crainic and R. Fernandes gave a sufficient condition in terms
  of Lie algebroid cohomology. In this talk\, we generalize their results t
 o the Dirac setting.\n\nhttps://indico.math.cnrs.fr/event/17257/
LOCATION:Salle Fokko du Cloux (Bat. Braconnier)
URL:https://indico.math.cnrs.fr/event/17257/
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