At The Summer School Saint Petersburg 2001, The Main Lecture Courses Bore On Recent Progress In Asymptotic Representation Theory: Those Written Up For This Volume Deal With The Theory Of Representations Of Infinite Symmetric Groups, And Groups Of Infinite Matrices Over Finite Fields; Riemann-hilbert Problem Techniques Applied To The Study Of Spectra Of Random Matrices And Asymptotics Of Young Diagrams With Plancherel Measure; The Corresponding Central Limit Theorems; The Combinatorics Of Modular Curves And Random Trees With Application To Qft; Free Probability And Random Matrices, And Hecke Algebras. Introduction -- Part I: Random Matrices, Orthogonal Polynomials And Riemann-hilbert Problem: A. Borodin: Asymptotic Representation Theory And Riemann-hilbert Problem; P. Deift: Four Lectures On Random Matrix Theory; R. Speicher: Free Probability Theory And Random Matrices -- Part Ii: Algebraic Geometry, Symmetric Functions And Harmonic Analysis: A. Hora: A Noncommutative Version Of Kerov's Gaussian Limit For The Plancherel Measure Of The Symmetric Group; A. Okounkov: Random Tress And Moduli Of Curves; G. Olshanski: An Introduction To Harmonic Analysis On The Infinite Symmetric Group; A. Vershik: Two Lectures On The Asymptotic Representation Theory And Statistics Of Young Diagrams -- Part Iii: Combinatorics And Representation Theory: P. Biane: Characters Of Symmetric Groups And Free Cumulants; M. Bozejko And R. Szwarc: Algebraic Length And PoincarΓ© Series On Reflection Groups With Applications To Representation Theory; M. Nazarov: Mixed Hook-length Formula For Degenerate Affine Hecke Algebras; Addendum: Information About The School. Anatoly M. Vershik (ed.). Includes Bibliographical References.