I will explain how to construct the Ruelle invariant of a symplectic cocycle over an arbitrary measure preserving flow. I will provide examples and computations in the case of Hamiltonian flows and Reeb flows (in particular, for toric domains). As an application of this invariant, I will construct toric examples of dynamically convex domains that are not symplectomorphic to convex ones in any dimension.
This talk is based on joint work with Oliver Edtmair, and based on this first arXiv paper and this second arXiv paper.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
