Deformations of symplectic groupoids

Abstract: Symplectic groupoids are geometric objects that function as global counterparts to Poisson manifolds, in the same way, that Lie groups are global counterparts to Lie algebras. In this talk, I will first give an idea of what these objects are and of how that analogy works, and I will then present the construction of the deformation cohomology controlling deformations of symplectic groupoids. I will then compute this cohomology in some examples, explain how to use it in a Moser path argument, and relate it to the deformation theory of the corresponding Poisson manifolds. The talk is based on joint work with Cristian Cárdenas (UFF) and Ivan Struchiner (USP).

MathematicsPhysics

Audience: researchers in the discipline

Seminario de Geometría y Física - Matemática UCN-USP