The conference was devoted to a wide range of mathematical problems related to description of quantum physical systems as well as classical ones. From the point of view of physics the main attention was paid to such topics as integrability and quantization of classical systems. Mathematical aspects of these topics occupy the following branches: Poisson and symplectic geometry, Lie algebras, C*-algebras, Spectral theory, Quantum groups, Noncommutative geometry and some others.