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SUMMARY:An overview on Lie pseudogroups and geometric structures
DTSTART:20261006T091500Z
DTEND:20261006T101500Z
DTSTAMP:20260907T214300Z
UID:indico-event-17252@indico.math.cnrs.fr
DESCRIPTION:Speakers: Francesco Cattafi\n\nThe space of (local) symmetries
  of a given geometric structure has the natural structure of a Lie (pseudo
 )group. Conversely\, geometric structures admitting a local model can be d
 escribed via the pseudogroup of symmetries of such local model.The main go
 al of this talk is to provide several examples and give an intuitive under
 standing of the slogan above\, which can be made precise at various levels
  of generality (depending on the definition of "geometric structure") and 
 using different tools/methods.Moreover\, I will sketch a new framework\, w
 hich include previous formalisms (e.g. G-structures or Cartan geometries) 
 and allows us to prove integrability theorems. In particular\, I will prov
 ide intuition on the relevant objects which make this approach work\, name
 ly Lie groupoids endowed with a multiplicative "PDE-structure" and their p
 rincipal actions. Poisson geometry will give us the guiding principles to 
 understand those objects\, which are directly inspired from\, respectively
 \, symplectic groupoids and principal Hamiltonian bundles.This is based on
  a forthcoming book written jointly with Luca Accornero\, Marius Crainic a
 nd María Amelia Salazar.\n\nhttps://indico.math.cnrs.fr/event/17252/
LOCATION:Pellos
URL:https://indico.math.cnrs.fr/event/17252/
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