Lectures by the Mercator Fellow

Cologne, 28 September 2021
Leonid Polterovich (Tel Aviv)
Approximate representations of symplectomorphisms via quantization

Abstract: We show that for a special class of geometric quantizations with "small" quantum errors, the quantum classical correspondence gives rise to an approximate projective representation of the group of Hamiltonian diffeomorphisms. As an application, we get an obstruction to Hamiltonian actions of finitely presented groups. Joint work with Laurent Charles.