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Hardcover ISBN:  9780821813881 
Product Code:  TRANS2/191 
List Price:  $175.00 
MAA Member Price:  $157.50 
AMS Member Price:  $140.00 
eBook ISBN:  9781470434021 
Product Code:  TRANS2/191.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
Hardcover ISBN:  9780821813881 
eBook ISBN:  9781470434021 
Product Code:  TRANS2/191.B 
List Price:  $340.00 $257.50 
MAA Member Price:  $306.00 $231.75 
AMS Member Price:  $272.00 $206.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 191; 1999; 299 ppMSC: Primary 58; Secondary 81
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.
ReadershipGraduate students and research mathematicians working in ordinary differential equations on manifolds and dynamical systems.

Table of Contents

Chapters

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


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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.
Graduate students and research mathematicians working in ordinary differential equations on manifolds and dynamical systems.

Chapters

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