Poisson Geometry and Its Applications

Special Session Speaker

Deformation of Poisson structures in the Hamiltonian perturbation theory of adiabatic type

Misael Avendaño-Camacho

We present geometric approach of study the normal forms of a class of slow–fast Hamiltonian systems on general Poisson fiber bundles with symmetry which is motivated by a link between the deformation theory for Poisson structures on fibered manifolds and the adiabatic perturbation theory. We present some normalization results which are based on the averaging theorem for horizontal 2-cocycles on Poisson fiber bundles. This is a joint work with Jose Antonio Vallejo and Yury Vorobiev.

Friday August 18 , 16:20 - 17:00