Being slightly perturbed is interesting

by Oscar Cosserat

Friday 21 Jun 2024, 11:00 → 12:00 Europe/Zurich

HS5 (MI)

I will explain what an integrable Hamiltonian on a symplectic manifold is and illustrate it by examples. I will introduce then a bit of KAM theory to explain why perturbed Hamiltonian systems are at the same time physically relevant and a mathematically rich topic. I will end up by linking this talk to the theory of symplectic numerical integration and, if time permits, extending this framework to the Poisson Hamiltonian setting