About:

This conference on classical and modern aspects of dynamical systems theory, with applications to classical mechanics including hydrodynamics and celestial mechanics was dedicated to the memory of V.I. Arnold in recognition of his outstanding personal contributions, and those of his school, to this field.

The subject of dynamical systems is a major area of mathematics, with important connections to analysis, to geometry, and to a broad variety of applications. Its origins lie in the theory of classical mechanics, a topic which has provided scientific c motivation and a consistent source of problems of physical importance, as well as mathematical elegance and good taste. In the past half century, dynamical systems techniques, and in particular those from the theory of Hamiltonian systems, have made important contributions to fluid dynamics, to nonlinear optics, to nonlinear elasticity, and to numerous other fields of the physical sciences and engineering.

The conference focused on current research areas that have been fundamentally influenced by the insights of V.I. Arnold including: the impact of KAM theory on celestial mechanics, differential geometry and PDEs; Arnold's vision of fluid dynamics and its influence both on theoretical of hydrodynamics and on its physical applications; the geometrical setting of classical mechanics that was part of the Russian scientific tradition so successfully communicated in Arnold's scientific writings and in his highly influential books.