The deformation cohomology of a symplectic groupoid
 
 
Description:  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 how that analogy works, and I will 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).
Date:  2021-02-17
Start Time:   14:00
Speaker:  João Nuno Mestre (CMUC, Univ. Coimbra)
Institution:  CMUC, University of Coimbra
Research Groups: -Geometry
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