School of Mathematics Seminars and Lectures
Gromov-Tischler theorem for symplectic stratified spaces
by Mr. Balarka Sen (TIFR, Mumbai)
Monday, September 26, 2022 from to (Asia/Kolkata)
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.