Proceedings of the NATO Advanced Study Institute, held in Cambridge, UK, from 25th June to 6th July, 2001

Inhalt

Preface. List of contributors. List of invited NATO ASI participants. Notes on Macdonald polynomials and the geometry of Hilbert schemes; H. Haiman. The Laplacian method; P. Hanlon. Kerov's central limit theorem for the Plancherel measure on Young diagrams; V. Ivanov, G. Olshanski. Symmetric functions and the Fock space; B. Leclerc. An introduction to birational Weyl group actions; M. Noumi. Symmetric functions and random partitions; Okounkov. From Littlewood-Richardson coefficients to cluster algebras in three lectures; A. Zelevinsky.