Affine Kac-Moody algebras, integrable systems and their deformations

Abstract

This is the text of the Hermann Weyl Prize lecture given by the author at the XXIV Colloquium on Group Theoretical Methods in Physics, Paris, July 2002 (to appear in the Proceedings of the Colloquium).

12 pages

References in corpus (12)

• Vertex Algebras and Algebraic Curves
• Gaudin Model, Bethe Ansatz and Critical Level
• Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras
• Quantum Affine Algebras and Deformations of the Virasoro and W-algebras
• Quantum W-algebras and Elliptic Algebras
• Quantum $W_N$ Algebras and Macdonald Polynomials
• Multi-point Local Height Probabilities in the Integrable RSOS Model
• Deformations of W-algebras associated to simple Lie algebras
• Affine Algebras, Langlands Duality and Bethe Ansatz
• Lectures on Wakimoto modules, opers and the center at the critical level
• Bosonization of vertex operators for the $A^{(1)_{n-1}$ face model
• Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General Semisimple Case