University of Toronto's Symplectic Geometry Seminar

April 21, 2008, 11:10am
Bahen 6183

Henrique Bursztyn

IMPA, Rio de Janeiro, Brazil

Generalized reduction and supergeometry


In this talk, I will revisit the reduction procedure for Courant algebroids and generalized complex structures developed in joint work with Cavalcanti and Gualtieri. After recalling this construction, I will show how it has a simple interpretation in super-geometric terms: using the characterization of Courant algebroids as symplectic graded manifolds, the reduction procedure turns out to be a natural symplectic/Marsden-Weinstein quotient (for graded manifolds). The talk is based on joint work with Cattaneo, Mehta and Zambon.