Preface. Part I: Quantum Mathematics. Dual Quasitriangular Structures Related to the Temperley-Lieb Algebra; P. Akueson, D. Gurevich. On the Quantization of Quadratic Poisson Brackets on a Polynomial Algebra of Four Variables; J. Donin. Two Types of Poisson Pencils and Related Quantum Objects; D. Gurevich, et al. Wave Packet Transform in Symplectic Geometry and Asymptotic Quantization; V. Nazaikinskii, B. Sternin. On Quantum Methods in the Classical Theory of Representations; D.P. Zhelobenko. Part II: Hypergroups. Multivalued Groups, n-Hopf Algebras and n-Ring Homomorphisms; V.M. Buchstaber, E.G. Rees. Hypergroups and Differential Equations; W.C. Connett, A.L. Schwartz. The Haar Measure on Locally Compact Hypergroups; O. Gebuhrer. Laguerre Hypergroup and Limit Theorem; M.M. Nessibi, M. Sifi. The Representation of the Reproducing Kernel in Orthogonal Polynomials on Several Intervals; B.P. Osilenker. Part III: Homogeneous Spaces and Lie Algebras and Superalgebras. Homology Invariants of Homogeneous Complex Manifolds; B. Gilligan. Micromodules; B. Komrakov, A. Tchuryumov. A Spectral Sequence for the Tangent Sheaf Cohomology of a Supermanifold; A.L. Onishchik. On a Duality of Varieties of Representations of Ternary Lie and Super Lie Systems; Yu.P. Razmyslov. Various Aspects and Generalizations of the Godbillon-Vey Invariant; C. Roger. Volume of Bounded Symmetric Domains and Compactification of Jordan Triple Systems; G. Roos. Part IV: Representations. Asymptotic Behavior of the Poisson Transform on a Hyperboloid of One Sheet; A.A. Artemov. Maximal Degenerate Representations, Berezin Kernels and Canonical Representations; G. van Dijk, S.C. Hille. Asymptotic Representation of Discrete Groups; A.S. Mishchenko, M. Mohammad. Maximal Degenerate Series Representations of the Universal Covering of the Group SU(n,n); V.F. Molchanov. Almost Representations and Quasi-Symmetry; A.I. Shtern. Part V: Differential Equations. Orbital Isomorphism Between Two Classical Integrable Systems; A.V. Bolsinov, A.T. Fomenko. Noncommutative Deformation of the KP Hierarchy and the Universal Grassmann Manifold; E.E. Demidov. Symmetries of Completely Integrable Distributions; B. Dubrov, B. Komrakov. Algebras with Flat Connections and Symmetries of Differential Equations; I.S. Krasil'shchik. On the Geometry of Current Groups and a Model of the Landau-Lifschitz Equation; A.M. Lukatsky. Change Variable Formulas for Gaussian Integrals over Spaces of Paths in Compact Riemannian Manifolds; O.G. Smolyanov.