Preface. List of Participants. Analysis and Spectral Theory. Quantization of Hitchin's Fibration and Langland's Program; A. Beilinson, V. Drinfeld. Boundary Values of the Resolvent of a Self-Adjoint Operator: Higher Order Estimates; A. Boutet de Monvel, V. Georgescu. Index Theorems and Microsupport; L. Boutet de Monvel. Equation des Ondes Amorties; G. Lebeau. Oscillatory Integrals Controlling the Drift of Spectral Projections for Pseudo-Differential Operators; N. Lerner. Linear Adiabatic Theory: Exponential Estimates and Applications; G. Nenciu. Mathematical Problems of Quantum Field Theory and Statistical Physics. Vector Bundles on Riemann Surfaces and Conformal Field Theory; A. Beauville. Introduction to the Conformal Field Theory; A. Belavin. Discretized Moduli Spaces and Matrix Models; L. Chekhov. Spectral and Probabilistic Aspects of Matrix Models; L. Pastur. On Approximation of General Hamiltonians by Hamiltonians of the Theories of Superconductivity and Superfluidity; D. Petrina. Nonlinear Equations and Integrable Systems. Initial and Boundary Value Problems for the Sine-Gordon Equation; E. Belokolos. Algebra of Compositions and Nonlinear Equations; Yu. Daletskii. Nonlinear Equations for Equilibrium Costs and their Solvability; N. Gonchar. Soliton Asymptotics of Non-Decreasing Solutions of Nonlinear Evolutionary Equations; E. Khruslov. Operator Algebras, Nonlinear Equations and Darboux-like Transform; V. Marchenko. Trivial S-matrices, Wigner-von Neumann Resonances and Positon Solutions of the Integrable Nonlinear Evolution Equations; V. Matveev. Minimal Surfaces in the Hyperbolic Space and Radial-Symmetric Solutions of the Cosh-Laplace Equation; V. Novokshenov. Spectral Properties of Non-Selfadjoint Hill's Operators with Smooth Potentials; J.-J. Sansuc, V. Tkachenko. Short Communications. Complex Deformations of Riemann Surfaces, Frequency Maps and Instability Problems; R. Bikbaev. A Propagation Estimate for the Dirac Hamiltonian in the Field of an Electromagnetic Wave; A. Boutet de Monvel, R. Purice. The Commutativity of the Singularly Perturbed Self-Adjoint Operators; N. Dudkin. Approximate-Iterative Method for Solving Nonlinear Differential and Integral Equations; V. Dzyadyk. Regular Representations of Affine Kac&endash;Moody Algebras; B. Feigin, S. Parkhomenko. On Boundary Value Problems for Operator Differential Equations; M. Gorbachuk, V. Gorbachuk. Singularly Perturbed Operators of Type - &Dgr; + &lgr;&dgr;; V. Koshmanenko. Inverse Scattering Problems for Hyperbolic Equations and their Applications; L. Nizhnik. Sine-Gordon Equation in Laboratory Coordinates and Inverse Problem on the Semi-Axis; A. Sakhnovic. Gibbs States and Regularized Dynamics of the Chern&endash;Simons Charged Particle System; W. Skrypnik. Almost-Periodic Sturm Liouville Operators with Homogeneous Spectrum; M. Sodin, P. Yuditski. On Higher-Order Difference Operators; V. Yurko. Invariant Measures for Infinite-Dimensional Dynamical Systems with Applications to a Nonlinear Schrödinger Equation; P. Zhidkov.