The conference was devoted to a wide range of mathematical problems related to description of quantum and/or classical physical systems. From the point of view of physics the main attention was paid to such topics as quantization of classical systems, path integrals, rigid bodies and graded algebras. Mathematical aspects of these topics occupy the following branches: Poisson and symplectic geometry, Lie algebras, C*-algebras, spectral theory, non-commutative geometry, Riemannian spaces, differential equations, cryptography and some others.