Approximate representations of symplectomorphisms via quantization

Leonid Polterovich

We argue that quantization, a mathematical model of the quantum classical correspondence, gives rise to approximate unitary representations of symplectomorphism groups. As an application, we get an obstruction to symplectic action of Lubotzky-Oppenheim non pp-norm approximated groups. Preliminaries on symplectic geometry and quantization will be explained. Joint work with Laurent Charles.

https://www.ias.edu/video/approximate-representations-symplectomorphisms-quantization