Seminarium KMMF "Teoria Dwoistości"

I will report on joint work with Stephane Geudens. A b-symplectic structure is a certain kind of Poisson structure which is symplectic outside of a hypersurface. We single out two classes of coisotropic submanifolds: those transverse to the hypersurface turn out to admit a normal form theorem, which extends Gotay's theorem in symplectic geometry. Those that satisfy a stronger transversality property admit a coisotropic quotient which locally is always smooth, and which inherits a reduced b-symplectic structure.In the first part of the talk, I will give review some of the background material, including symplectic geometry and the role of coisotropic submanifolds there, as well as the b-tangent bundle. To attend our ​online ​seminar please use the Zoom identificator: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09