Poisson Geometry

Poisson Geometry

Boris Dubrovin (SISSA)
First lecture: Tuesday, April 4, at 10:30, Room F.


Programme
  1. Darboux coordinates for Poisson brackets
  2. Geometry of linear and quadratic Poisson brackets. Lie-Poisson groups.
  3. Poisson cohomology.
  4. Variational bicomplex. Applications to the inverse problem of calculus of variations.
  5. Geometry of local Poisson structures on loop spaces.
  6. Bihamiltonian structures and Frobenius manifolds.