A generalization of the Poincare-Birkhoff fixed point theorem and the restricted three-body problem
Otto van Koert (Seoul National University)
05-May-2021, 11:10-12:30 (3 years ago)
Abstract: In joint work with Agustin Moreno, we propose a generalization of the Poincare-Birkhoff fixed point theorem. We start with a construction of global hypersurfaces of section in the spatial three-body problem, describe some return maps and suggest some generalizations of the Poincare-Birkhoff fixed point theorem. We use symplectic homology in the proof of our theorem.
differential geometrydynamical systemsgeometric topologysymplectic geometry
Audience: researchers in the topic
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Organizers: | Michael Bialy, Lev Buhovsky*, Yaron Ostrover, Leonid Polterovich |
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