Venue: Quan 9, BICMR

Time: Wednesday Dec. 24 , 14:00-16:00

Speaker: Ping Xu (Pennsylvania State University)

Abstract: For a smooth manifold $X$, it is well known that $T^*X$ is a symplectic manifold. The manifold $X$ can be seen as a (rather trivial) Poisson manifold when endowed with the zero Poisson bracket. The canonical projection from $T^*X$ to $X$ is a Poisson map and $X$ is embedded as a Lagrangian submanifold of $T^*X$ (by the zero section). In this talk, I will discuss a few important extensions of this result to non-trivial (smooth or holomorphic) Poisson manifolds and its connection with PTVV +1 shifted symplectic stacks.