Event description
Abstract: In this talk we discuss Hamiltonian actions. The action of a Lie group on a symplectic manifold by symplectomorphisms is called Hamiltonian if there exists a momentum map. We will give an introduction to this notion and explore its fundamental properties. We will observe that the momentum map gives us further tools to characterize coisotropic actions; this yields an equivalence theorem for coisotropic Hamiltonian actions. We discuss to what extent does the reduction principle holds for Hamiltonian coisotropic actions.