Some personal historic notes on our seminar;An elementary derivation of certain classical dynamical matrices;Incidence matrix description of intersecting brane solutions;A discrete time Lagrange top and discrete elastic curves;The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schr�odinger equation;From the tetrahedron equation to universal matrices;On some quadratic algebras;Quantum inverse scattering method and correlation functions;Testing Seiberg-Witten solution;Drinfeld twists and algebraic Bethe ansatz;Darboux transformations, covariance theorems and integrable systems;Generalized deformed Gelfand-Dickey structures on the group of pseudodifference operators;On time evolutions associated with the nonstationary Schr�odinger equation;Deformation quantization of K�ahler manifolds;Canonicity of B�acklund transformation: matrix approach. I;Quasi-classical study of form factors in finite volume;Completeness of the hypergeometric solutions of the KZ equation at level zero