Department of Mathematics - Master Calendar

Title: On the integration of Lie bialgebroids

Abstract: Lie bialgebroids are important objects in Lie theory, providing a convenient language to describe Poisson actions of Poisson-Lie groups, dynamical r-matrices and generalized Kahler structures. Lie bialgebroids are known to be the infinitesimal counterparts of double symplectic groupoids. Under mild natural conditions, I will describe how to use multiplicative Courant algebroids and differential forms of shift two in the Bott-Shulman-Stasheff complex of a Lie groupoid to construct double symplectic groupoids in most cases of interest.