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SUMMARY:An overview on Lie pseudogroups and geometric structures
DTSTART:20261020T080000Z
DTEND:20261020T090000Z
DTSTAMP:20261104T060800Z
UID:indico-event-17554@indico.math.cnrs.fr
DESCRIPTION:Speakers: Francesco Cattafi (Julius-Maximilians-Universität W
 ürzburg)\n\nThe space of (local) symmetries of a given geometric structur
 e has the natural structure of a Lie (pseudo)group. Conversely\, geometric
  structures admitting a local model can be described via the pseudogroup o
 f symmetries of such local model.The main goal of this talk is to provide 
 several examples and give an intuitive understanding of the slogan above\,
  which can be made precise at various levels of generality (depending on t
 he definition of "geometric structure") and using different tools/methods.
 Moreover\, I will sketch a new framework\, which include previous formalis
 ms (e.g. G-structures or Cartan geometries) and allows us to prove integra
 bility theorems. In particular\, I will provide intuition on the relevant 
 objects which make this approach work\, namely Lie groupoids endowed with 
 a multiplicative "PDE-structure" and their principal actions. Poisson geom
 etry will give us the guiding principles to understand those objects\, whi
 ch are directly inspired from\, respectively\, symplectic groupoids and pr
 incipal Hamiltonian bundles.This is based on a forthcoming book written jo
 intly with Luca Accornero\, Marius Crainic and María Amelia Salazar.\n\nh
 ttps://indico.math.cnrs.fr/event/17554/
LOCATION:125
URL:https://indico.math.cnrs.fr/event/17554/
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