19 oct 2022 -- 11:30
Aula Tricerri, DIMaI, Firenze
Seminario di Geometria del Dini
Abstract.
I will show that any symplectic manifold is a coadjoint orbit of a central extension of the group of Hamiltonian diffeomorphisms by the torus of periods of the symplectic form. The particularity of this construction is that it covers the general case when the torus of periods is irrational. This is where diffeology is essential.