At the crossroads of dynamics and mathematical physics, the study of Hamiltonian systems demands a deep exchange of ideas between many dierent areas of mathematics. Indeed, many of the recents advances in the eld merge techniques coming from dynamics and nonlinear analysis, perturbation theory, symplectic geometry or probability. The benet is reciprocal since, the intrinsic complexity of the dynamics exhibited by Hamiltonian systems, has lead to the development of many powerful techniques which are now standard tools in dynamics, analysis and geometry. Our program aims to gather several experts in the eld, providing them a unique opportunity to interact, tackle longstanding questions and explore new emerging directions. The list of topics includes:

• Averaging theory and statistical properties of Hamiltonian Systems.
• Coexistence of hyperbolic and elliptic behavior in Hamiltonian Systems.
• KAM theory.
• Stability and Instability in Innite Dimensional Hamiltonian Systems (Growth of Sobolev norms, KAM theory for innite dimensional systems, Anderson Localization...)
• Perturbative techniques in Celestial Mechanics.
• Hamiltonian systems with noise.