BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

A construction of local Lie groupoids using Lie algebroid sprays Cabrera, Alejandro


We give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a connection. We also give a complete account of local Lie theory based on these explicit constructions. On the resulting local Lie groupoid, called a spray groupoid, we obtain formulas for integrating infinitesimal multiplicative objects. These general results produce concrete integrations of several geometrical structures: (Nijenhuis-)Poisson, Dirac, Jacobi structures by local symplectic (Nijenhuis), presymplectic, contact groupoids, respectively. Joint work with A. Cabrera and I. Marcut.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International