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Integrability, Quantization, and Geometry: I. Integrable Systems

Edited by: Sergey Novikov University of Maryland, College Park, MD and Steklov Institute of Mathematics, Moscow, Russia
Igor Krichever Columbia University, New York, NY and Skoltech, Moscow, Russia
Oleg Ogievetsky Center of Theoretical Physics, Marseille, France and Labadev Physical Institute, Moscow, Russia
Senya Shlosman Center of Theoretical Physics, Marseille, France and Skoltech, Moscow, Russia
Available Formats:
Softcover ISBN: 978-1-4704-5591-0
Product Code: PSPUM/103.1
List Price: $137.00 MAA Member Price:$123.30
AMS Member Price: $109.60 Electronic ISBN: 978-1-4704-6434-9 Product Code: PSPUM/103.1.E List Price:$137.00
MAA Member Price: $123.30 AMS Member Price:$109.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $205.50 MAA Member Price:$184.95
AMS Member Price: $164.40 Click above image for expanded view Integrability, Quantization, and Geometry: I. Integrable Systems Edited by: Sergey Novikov University of Maryland, College Park, MD and Steklov Institute of Mathematics, Moscow, Russia Igor Krichever Columbia University, New York, NY and Skoltech, Moscow, Russia Oleg Ogievetsky Center of Theoretical Physics, Marseille, France and Labadev Physical Institute, Moscow, Russia Senya Shlosman Center of Theoretical Physics, Marseille, France and Skoltech, Moscow, Russia Available Formats:  Softcover ISBN: 978-1-4704-5591-0 Product Code: PSPUM/103.1  List Price:$137.00 MAA Member Price: $123.30 AMS Member Price:$109.60
 Electronic ISBN: 978-1-4704-6434-9 Product Code: PSPUM/103.1.E
 List Price: $137.00 MAA Member Price:$123.30 AMS Member Price: $109.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$205.50 MAA Member Price: $184.95 AMS Member Price:$164.40
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 1032021; 516 pp
MSC: Primary 14; 33; 53;

This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.

The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Graduate students and researchers interested in mathematical physics, enumerative and differential geometry, and geometric representation theory.

This item is also available as part of a set:

• Articles
• Konstantin Aleshkin and Kyoji Saito - Primitive Forms without Higher Residue Structure and Integrable Hierarchies (I)
• Maali Alkadhem, Georgios Antoniou and Misha Feigin - Solutions of $BC_{n}$ Type of WDVV Equations
• P. P. Boalch - Topology of the Stokes phenomenon
• Giordano Cotti and Alexander Varchenko - Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and \textcyr{B}-Theorem
• Liana David and Claus Hertling - Meromorphic Connections over F-manifolds
• George Jorjadze and Stefan Theisen - Canonical maps and integrability in $T\bar T$ deformed 2d CFTs
• Igor Krichever and Alexander Varchenko - Incarnations of XXX $\widehat {\frak {sl}_N}$ Bethe ansatz equations and integrable hierarchies
• Franco Magri - The Kowalewski separability conditions
• O.I. Mokhov and N.A. Strizhova - On the Liouville Integrable Reduction of the Associativity Equations in the Case of Three Primary Fields
• Sergey M. Natanzon and Aleksandr Yu. Orlov - Hurwitz numbers from matrix integrals over Gaussian measure
• Nicolai Reshetikhin - Spin Calogero-Moser models on symmetric spaces
• Michael Semenov-Tian-Shansky - Quantum Toda Lattice: a Challenge for Representation Theory
• A. O. Smirnov, M. V. Pavlov, V. B. Matveev and V. S. Gerdjikov - Finite-Gap Solutions of the Mikhalëv Equation
• Ian A.B. Strachan - Flat coordinates on orbit spaces: from Novikov algebras to cyclic quotient singularities
• Kanehisa Takasaki - Cubic Hodge integrals and integrable hierarchies of Volterra type
• Gang Tian and Guangbo Xu - Gauged Witten Equation and Adiabatic Limit

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 1032021; 516 pp
MSC: Primary 14; 33; 53;

This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.

The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

Graduate students and researchers interested in mathematical physics, enumerative and differential geometry, and geometric representation theory.

This item is also available as part of a set:
• Articles
• Konstantin Aleshkin and Kyoji Saito - Primitive Forms without Higher Residue Structure and Integrable Hierarchies (I)
• Maali Alkadhem, Georgios Antoniou and Misha Feigin - Solutions of $BC_{n}$ Type of WDVV Equations
• P. P. Boalch - Topology of the Stokes phenomenon
• Giordano Cotti and Alexander Varchenko - Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and \textcyr{B}-Theorem
• Liana David and Claus Hertling - Meromorphic Connections over F-manifolds
• George Jorjadze and Stefan Theisen - Canonical maps and integrability in $T\bar T$ deformed 2d CFTs
• Igor Krichever and Alexander Varchenko - Incarnations of XXX $\widehat {\frak {sl}_N}$ Bethe ansatz equations and integrable hierarchies
• Franco Magri - The Kowalewski separability conditions
• O.I. Mokhov and N.A. Strizhova - On the Liouville Integrable Reduction of the Associativity Equations in the Case of Three Primary Fields
• Sergey M. Natanzon and Aleksandr Yu. Orlov - Hurwitz numbers from matrix integrals over Gaussian measure
• Nicolai Reshetikhin - Spin Calogero-Moser models on symmetric spaces
• Michael Semenov-Tian-Shansky - Quantum Toda Lattice: a Challenge for Representation Theory
• A. O. Smirnov, M. V. Pavlov, V. B. Matveev and V. S. Gerdjikov - Finite-Gap Solutions of the Mikhalëv Equation
• Ian A.B. Strachan - Flat coordinates on orbit spaces: from Novikov algebras to cyclic quotient singularities
• Kanehisa Takasaki - Cubic Hodge integrals and integrable hierarchies of Volterra type
• Gang Tian and Guangbo Xu - Gauged Witten Equation and Adiabatic Limit
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.