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


Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).

Organizers: Michael Bialy, Lev Buhovsky*, Yaron Ostrover, Leonid Polterovich
*contact for this listing

Export talk to