**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

1999; 299 pp; Hardcover

MSC: Primary 58; Secondary 81

**Print ISBN: 978-0-8218-1388-1**

Product Code: TRANS2/191

Product Code: TRANS2/191

List Price: $138.00

AMS Member Price: $110.40

MAA Member Price: $124.20

**Electronic ISBN: 978-1-4704-3402-1
Product Code: TRANS2/191.E**

List Price: $130.00

AMS Member Price: $104.00

MAA Member Price: $117.00

# Moscow Seminar in Mathematical Physics

Share this page *Edited by *
*A. Yu. Morozov; M. A. Olshanetsky*

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
Knizhnik-Zamolodchikov-Bernard connection and its far-reaching
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

## Moscow Seminar in Mathematical Physics

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents vii8
- Preface. ITEP: Proceedings of the mathematical physics seminar ix10
- Quantum dynamical 𝑅-matrices 112
- Some examples of quantum groups in higher genus 3344
- Poisson structure on moduli of flat connections on Riemann surfaces and the 𝑟-matrix 6778
- KZB equations as a flat connection with spectral parameter 8798
- Kadomtsev-Petviashvili hierarchy and generalized Kontsevich model 119130
- Yangian algebras and classical Riemann problems 163174
- Vacuum curves of elliptic 𝐿-operators and representations of the Sklyanin algebra 199210
- Hierarchies of isomonodromic deformations and Hitchin systems 223234
- Infinite-dimensional algebras, many-body systems and gauge theories 263274
- Back Cover Back Cover1314