Symplectic Dynamics Working Group

I would like to discuss three topics concerning applications of holomorphic curve methods to the planar circular restricted three-body problem. The first is the existence of direct orbits and a conjecture due to Birkhoff. The second is the use of finite-energy foliations to estimate topological entropy via symbolic dynamics. The third is the existence of forcing phenomena for periodic orbits for energies slightly above the lowest critical value, related to some kind of "local Weinstein conjecture" that can be of independent interest.