Room P3.10, Mathematics Building

Henrique Bursztyn, IMPA, Brasil
Generalized reduction and super geometry

I will discuss the reduction procedure for Courant algebroids and Dirac/generalized complex structures developed in joint work with Cavalcanti and Gualtieri. After illustrating this construction, I will show how it has a natural interpretation in super-geometric terms: viewing Courant algebroids as symplectic graded manifolds, the reduction procedure can be seen as a symplectic (Marsden-Weinstein) quotient.