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Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

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 Lebadev Physical Intitute, Moscow, Russia
Senya Shlosman Center of Theoretical Physics, Marseille, France and Skoltech, Moscow, Russia
Available Formats:
Softcover ISBN: 978-1-4704-5592-7
Product Code: PSPUM/103.2
List Price: $137.00 MAA Member Price:$123.30
AMS Member Price: $109.60 Electronic ISBN: 978-1-4704-6435-6 Product Code: PSPUM/103.2.E List Price:$137.00
MAA Member Price: $123.30 AMS Member Price:$109.60
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List Price: $205.50 MAA Member Price:$184.95
AMS Member Price: $164.40 Click above image for expanded view Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry 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 Lebadev Physical Intitute, Moscow, Russia Senya Shlosman Center of Theoretical Physics, Marseille, France and Skoltech, Moscow, Russia Available Formats:  Softcover ISBN: 978-1-4704-5592-7 Product Code: PSPUM/103.2  List Price:$137.00 MAA Member Price: $123.30 AMS Member Price:$109.60
 Electronic ISBN: 978-1-4704-6435-6 Product Code: PSPUM/103.2.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; 480 pp
MSC: Primary 14; 16; 20; 52; 53; 81;

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.

• Articles
• Tom Bridgeland - Geometry from Donaldson-Thomas invariants
• V.M. Buchstaber and A.P. Veselov - Fricke identities, Frobenius $k$-characters and Markov equation
• Ivan Cherednik - On Harish-Chandra theory of global nonsymmetric functions
• Noémie C. Combe and Yuri I. Manin - Symmetries of genus zero modular operad
• Robert Coquereaux and Jean-Bernard Zuber - On Schur problem and Kostka numbers
• Pavel Etingof, Edward Frenkel and David Kazhdan - An analytic version of the Langlands correspondence for complex curves
• Davide Gaiotto, Theo Johnson-Freyd and Edward Witten - A Note On Some Minimally Supersymmetric Models In Two Dimensions
• Oscar García-Prada and Dietmar Salamon - A moment map interpretation of the Ricci form, Kähler–Einstein structures, and Teichmüller spaces
• Ezra Getzler and Sean Weinz Pohorence - Global gauge conditions in the Batalin–Vilkovisky formalism
• Vasily Golyshev and Don Zagier - Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions
• Yuan-Pin Lee, Hui-Wen Lin and Chin-Lung Wang - Quantum flips I: Local model
• Matilde Marcolli - Aspects of $p$-adic geometry related to entanglement entropy
• Sergei Merkulov - Grothendieck-Teichmüller group, operads and graph complexes: a survey
• Oleg Ogievetsky and Senya Shlosman - Platonic Compounds of Cylinders

• 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; 480 pp
MSC: Primary 14; 16; 20; 52; 53; 81;

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.

• Articles
• Tom Bridgeland - Geometry from Donaldson-Thomas invariants
• V.M. Buchstaber and A.P. Veselov - Fricke identities, Frobenius $k$-characters and Markov equation
• Ivan Cherednik - On Harish-Chandra theory of global nonsymmetric functions
• Noémie C. Combe and Yuri I. Manin - Symmetries of genus zero modular operad
• Robert Coquereaux and Jean-Bernard Zuber - On Schur problem and Kostka numbers
• Pavel Etingof, Edward Frenkel and David Kazhdan - An analytic version of the Langlands correspondence for complex curves
• Davide Gaiotto, Theo Johnson-Freyd and Edward Witten - A Note On Some Minimally Supersymmetric Models In Two Dimensions
• Oscar García-Prada and Dietmar Salamon - A moment map interpretation of the Ricci form, Kähler–Einstein structures, and Teichmüller spaces
• Ezra Getzler and Sean Weinz Pohorence - Global gauge conditions in the Batalin–Vilkovisky formalism
• Vasily Golyshev and Don Zagier - Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions
• Yuan-Pin Lee, Hui-Wen Lin and Chin-Lung Wang - Quantum flips I: Local model
• Matilde Marcolli - Aspects of $p$-adic geometry related to entanglement entropy
• Sergei Merkulov - Grothendieck-Teichmüller group, operads and graph complexes: a survey
• Oleg Ogievetsky and Senya Shlosman - Platonic Compounds of Cylinders
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
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