Hamiltonian $S^1$-spaces, semitoric integrable systems, and hyperbolic singularities

Joseph Palmer (University of Illinois, Urbana-Champaign)

03-May-2021, 15:00-15:25 (3 years ago)

Abstract: A Hamiltonian action of $S^1$ on a symplectic 4-manifold comes with a real valued Hamiltonian function $J$. When we can we find a smooth map $H$ such that $(J,H)$ is an integrable system? Moreover, what can we say about the properties of the resulting system $(J,H)$ in different situations? We explore these questions and how their answers relates to toric integrable systems, semitoric integrable systems, and a class of integrable systems with hyperbolic singularities which generalize semitoric systems. This is joint work with S. Hohloch.

mathematical physicsalgebraic geometrydifferential geometrydynamical systemssymplectic geometry

Audience: researchers in the topic


Junior Global Poisson Workshop II

Organizers: Lennart Döppenschmitt, Ilia Gaiur*, Nikita Nikolaev, Anastasiia Matveeva
*contact for this listing

Export talk to