Preface. Program. List of participants. Part One: Matrix Models and Graph Enumeration. Matrix Quantum Mechanics V. Kazakov. Introduction to matrix models E. Brezin. A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures V. Buslaev, L. Pastur. Combinatorics and Probability of Maps V.A. Malyshev. The Combinatorics of Alternating Tangles: from theory to computerized enumeration J.L. Jacobsen, P. Zinn-Justin. Invariance Principles for Non-uniform Random Mappings and Trees D. Aldous, J. Pitman. Part Two: Integrable Models (of Statistical Physics and Quantum Field Theory). Renormalization group solution of fermionic Dyson model M.D. Missarov. Statistical Mechanics and Number Theory H.E. Boos, V.E. Korepin. Quantization of Thermodynamics and the Bardeen-Cooper-Schriffer-Bogolyubov Equation V.P. Maslov. Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D D.S. Grebenkov. Part Three: Representation Theory. Notes on homogeneous vector bundles over complex flag manifolds S. Igonin. Representation Theory and Doubles of Yangians of Classical Lie Superalgebras V. Stukopin. Idempotent (asymptotic) Mathematics and the Representation theory G.L. Litvinov, et al. A new approach to Berezin kernels and canonical representations G. van Dijk. Theta Hypergeometric Series V.P. Spiridonov.