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GDM-2021-16-Abstract

GDMSeminar: Abstracts of the Talks (2021/15)

Sonja Hohloch (Antwerpen))
Hamiltonian S1-actions and integrable systems

Tuesday, September 14, 2021, 15:00 GMT

Abstract:In this talk, we will discuss recent progress towards a symplectic classification of 2-degree of freedom integrable Hamiltonian systems with S1-symmetry and mildly degenerate singularities. In particular, we will explain how to extend an arbitrary e ective Hamiltonian S1-action on a compact 4-dimensional manifold to a 2-degree of freedom integrable systems
with only mild degeneracies (if any).