Colloquium Mathematics - Sonja Hohloch, University of Antwerp

Title: On low dimensional integrable Hamiltonian systems with S^1-symmetry

Abstract:
This talk gives an introduction and overview of recent developments around so-called hypersemitoric systems. These are two-degree of freedom integrable Hamiltonian systems on 4-dimensional compact symplectic manifolds with possibly mild degeneracies where one of the integrals gives rise to an effective Hamiltonian S^1-action.