American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1999; 299 pp; hardcover Volume: 191 ISBN10: 0821813889 ISBN13: 9780821813881 List Price: US$130 Member Price: US$104 Order Code: TRANS2/191
 The Theory Department of the Institute of Theoretical and Experimental Physics (ITEP) is internationally recognized for achievements in various branches of theoretical physics. The seminars at ITEP for many years have been among the main centers of scientific life in Moscow. This volume presents results from the seminar on mathematical physics that has been held at ITEP since 1983. It reflects the style and direction of some of the work done at the Institute. The majority of the papers in the volume describe the KnizhnikZamolodchikovBernard connection and its farreaching generalizations. The remaining papers are related to other aspects of the theory and integrable models. Included are discussions on quantum Lax operators analyzed by methods of algebraic geometry, current algebras associated with complex curves, and the relationship between matrix models and integrable systems. Readership Graduate students and research mathematicians working in ordinary differential equations on manifolds and dynamical systems. Table of Contents  G. E. Arutyunov, L. O. Chekhov, and S. A. Frolov  Quantum dynamical \(R\)matrices
 B. Enriquez and V. Rubtsov  Some examples of quantum groups in higher genus
 V. V. Fock and A. A. Rosly  Poisson structure on moduli of flat connections on Riemann surfaces and the \(r\)matrix
 D. A. Ivanov and A. S. Losev  KZB equations as a flat connection with spectral parameter
 S. Kharchev  KadomtsevPetviashvili hierarchy and generalized Kontsevich model
 S. Khoroshkin, D. Lebedev, and S. Pakuliak  Yangian algebras and classical Riemann problems
 I. Krichever and A. Zabrodin  Vacuum curves of elliptic \(L\)operators and representations of the Sklyanin algebra
 A. M. Levin and M. A. Olshanetsky  Hierarchies of isomonodromic deformations and Hitchin systems
 N. Nekrasov  Infinitedimensional algebras, manybody systems and gauge theories
