On deformations of symplectic groupoids

Speaker: Cristian Cardenas, UFF.

Date: 31 may 2019, 11h.

Place: Room 409, Bloco H, Campus Gragoatá, UFF.

Abstract: In this talk, I will show how a subcomplex of the Bott-Shulman complex controls deformations of symplectic groupoids. I will also explain a Moser argument in the context of symplectic groupoids by using this subcomplex.

Moreover, I will describe the global counterpart of the map defined by Crainic and Moerdijk (2004) which relates the Poisson cohomology of a Poisson manifold to the deformation cohomology of its underlying algebroid.
Joint work with Ivan Struchiner and João Mestre.