Laszlo Feher
Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
First, we develop sufficient conditions for guaranteeing that an integrable system with symmetry group K on a manifold M descends to an integrable system on a dense open subspace of the quotient Poisson space M/K and on its symplectic leaves. Then, we present applications to reductions of master systems on cotangent bundles and Heisenberg doubles of compact Lie groups and to integrable systems on moduli spaces of flat connections. In almost all examples, the term ‘integrability’ refers to degenerate integrability, alias superintegrability. The talk is based on a joint paper with Maxime Fairon.
