Objectives

Hamilton-Jacobi-Bellman equations lay at the interface between PDE’s, dynamics, geometry and probability. The conference will bring together experts in different fields: partial differential equations, symplectic geometry, celestial mechanics, Aubry-Mather theory, Lagrangian/Hamiltonian dynamics, variational problems, discrete ergodic optimization. The weak KAM theory is the central theme of these different approaches. Two mini-courses of 4 hours each are scheduled during the conference: the first one in “Aubry Theory for systems of weakly coupled Hamilton-Jacobi equations” by A. Davini, the second one in “Action selectors from symplectic topology and applications to Hamiltonian dynamics” by V. Humilière and V. Roos. Speakers of the plenary lectures are asked to present both the state of the art and further progress of their domain of research.

Scientific committee