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Softcover ISBN:  9780821820933 
Product Code:  CRMP/26 
List Price:  $108.00 
MAA Member Price:  $97.20 
AMS Member Price:  $86.40 
eBook ISBN:  9781470439408 
Product Code:  CRMP/26.E 
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AMS Member Price:  $80.80 
Softcover ISBN:  9780821820933 
eBook ISBN:  9781470439408 
Product Code:  CRMP/26.B 
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MAA Member Price:  $188.10 $142.65 
AMS Member Price:  $167.20 $126.80 

Book DetailsCRM Proceedings & Lecture NotesVolume: 26; 2000; 264 ppMSC: Primary 81; 82; 33; 35; Secondary 37
This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montréal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in surprisingly different directions.
Beyond the intrinsic interest in the study of integrable models of manyparticle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of current interest. These fields include theoretical physics and pure mathematics, for example the SeibergWitten approach to supersymmetric YangMills theory, the spectral theory of random matrices, topological models of quantum gravity, conformal field theory, mirror symmetry, quantum cohomology, etc.
This collection gives a nice crosssection of the current state of the work in the area of integrable systems which is presented by some of the leading active researchers in this field. The scope and quality of the articles in this volume make this a valuable resource for those interested in an uptodate introduction and an overview of many of the main areas of study in the theory of integral systems.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in integrable systems; theoretical physicists.

Table of Contents

Chapters

On the chiral WZNW phase space, exchange rmatrices and PoissonLie groupoids

Loop groups, $R$matrices and separation of variables

The geometry of generalised Hitchin systems

Determinant representation for form factors

Isomonodromic deformations in genus zero and one: Algebrogeometric solutions and Schlesinger transformations

Quantum inverse scattering problem and correlation functions of integrable models

Multiseparability and superintegrability for classical and quantum systems

Integrability and symmetry of the XXZ model

Characteristic systems on Poisson Lie groups and their quantization

Special functions associated with CalogeroMoser type quantum systems

Bäcklund transformations and Baster’s $Q$operator

Universality of the distribution functions of random matrix theory


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This volume presents the papers based upon lectures given at the 1999 Séminaire de Mathémathiques Supérieurs held in Montréal. It includes contributions from many of the most active researchers in the field. This subject has been in a remarkably active state of development throughout the past three decades, resulting in new motivation for study in surprisingly different directions.
Beyond the intrinsic interest in the study of integrable models of manyparticle systems, spin chains, lattice and field theory models at both the classical and the quantum level, and completely solvable models in statistical mechanics, there have been new applications in relation to a number of other fields of current interest. These fields include theoretical physics and pure mathematics, for example the SeibergWitten approach to supersymmetric YangMills theory, the spectral theory of random matrices, topological models of quantum gravity, conformal field theory, mirror symmetry, quantum cohomology, etc.
This collection gives a nice crosssection of the current state of the work in the area of integrable systems which is presented by some of the leading active researchers in this field. The scope and quality of the articles in this volume make this a valuable resource for those interested in an uptodate introduction and an overview of many of the main areas of study in the theory of integral systems.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in integrable systems; theoretical physicists.

Chapters

On the chiral WZNW phase space, exchange rmatrices and PoissonLie groupoids

Loop groups, $R$matrices and separation of variables

The geometry of generalised Hitchin systems

Determinant representation for form factors

Isomonodromic deformations in genus zero and one: Algebrogeometric solutions and Schlesinger transformations

Quantum inverse scattering problem and correlation functions of integrable models

Multiseparability and superintegrability for classical and quantum systems

Integrability and symmetry of the XXZ model

Characteristic systems on Poisson Lie groups and their quantization

Special functions associated with CalogeroMoser type quantum systems

Bäcklund transformations and Baster’s $Q$operator

Universality of the distribution functions of random matrix theory