This will be a school on dynamical systems in a rather wide sense, including background results on invariant manifolds and symplectic geometry (Chaperon), weak Kolmogorov-Arnold-Moser (KAM) theory and Arnold diffusion (Cheng, Seara), weak solutions of Hamilton-Jacobi evolution equations (Cheng, Wei), small denominators and KAM theory (Eliasson, Kuksin), partial differential equations (Cheng, Eliasson, Wei, Kuksin) and ergodic theory (Cheng, Luzzatto). Complex dynamics will be represented by a mini-course and a talk by Anna Miriam Benini (Rome). There will also be daily more advanced talks.