Introduction to Cartan Geometry - 2023
Cours par Elisha Falbel
Travaux dirigés par Raphael Alexandre
Le polycopié sera actualisé chaque semaine.
cours 10/01 : Introduction, Frobenius theorem, Differential ideals.
cours 13/01 : Differential ideals, the equivalence problem.
cours 17/01 : Pfaff problem, Darboux's theorem. Some global results: Godbillon-Vey invariant, Gray's rigidity theorem.
cours 20/01 : Lie groups and Lie algebras. The automorphism group of the Heisenberg group.
cours 24/01 : Maurer-Cartan forms. The adjoint representation.
cours 27/01 : Homogeneous spaces, principal bundles, frame and coframe bundles.
cours 03/02 : Tautological forms, Cartan connections.
cours 07/02 : Examples: Riemannian Geometry and Web geometry.
cours 10/02 : Example: Path structures.
cours 14/02 : Dynamics: Poincaré's recurrence theorem.
cours 17/02 : Uniformization of strict path structures with large automorphism group.
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