Room P3.10, Mathematics Building

Manuel de León, ICMAT-Consejo Superior de Investigaciones Cientificas
Generalized Hamiltonian systems and applications to nonholonomic mechanics

Over twenty years ago Alan Weinstein proposed to formulate mechanics in the framework of Lie algebroids. The use of Lie algebroids in mechanics has recently permitted two unexpected applications: the development of a Hamilton--Jacobi theory and a simple reduced scheme for nonholonomic mechanical systems.