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 |
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