Geometria em Lisboa

14 May 2002, 17h00

Dirac Geometry
Anfiteatro do Complexo Interdisciplinar da UL

Henrique Bursztyn (MSRI and Université Libre de Bruxelles)

Resumo:

Dirac manifolds were introduced by Weinstein and Courant to provide a geometric framework for the study of mechanical systems with constraints. Examples of Dirac structures on manifolds include (pre-)symplectic forms, Poisson structures and foliations. In this talk, I will describe the basic features of the geometry of Dirac manifolds, pointing out their role in Poisson geometry and explaining their connection with the world of Lie algebroids and groupoids.

| back