Gromov-Tischler theorem for symplectic stratified spaces

by Mr Balarka Sen (TIFR, Mumbai)

Monday 26 Sept 2022, 16:30 → 17:30 Asia/Kolkata

A369

Abstract: Singular symplectic spaces appear naturally as examples of reduced Hamiltonian phase spaces in physics as well as singular projective algebraic varieties in mathematics. We give a unified and geometric definition for these objects, and prove a singular variant of the Gromov-Tischler theorem: such a space with an integral symplectic form can always be embedded symplectically inside the complex projective space. On the way we discuss the topology of stratified spaces, symplectic reduction and h-principles. This is joint work with Mahan Mj.