Title: Flexibility of the adjoint action of the group of Hamiltonian diffeomorphisms

Abstract: On a closed and connected symplectic manifold, the group of Hamiltonian diffeomorphisms has the structure of an infinite dimensional Fréchet Lie group, where the Lie algebra is naturally identified with the space of smooth and zero-mean normalized functions, and the adjoint action is given by pushforwards. In my talk I will explain why the adjoint action is flexible and how this relates to the subject of uniqueness of the Hofer metric. Based on a joint work with Yaron Ostrover, and a recent joint work with Maksim Stokić.

Live broadcast and recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=835c8990-f72a-4a86-a1db-affc00e5890b