KAM theory has recently known a new development, known as the so called weak KAM theory. Such theory has been developed in the framework of the partial derivatives equations (PDE) within the study of the weak solutions of the Hamilton-Jacobi equation. The aim of this workshop is to establish a bridge between physicists and mathematicians working on dynamical systems and the classical KAM theorem with mathematicians working on the weak KAM theory. The workshop will host plenary talks concerning the different aspects of KAM theory (classical, weak, numerical applications) as well as shorter communications. Students and young researchers are especially welcome.