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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
Integrability, Quantization, and Geometry
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
eBook 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
Softcover ISBN:  978-1-4704-5592-7
eBook: ISBN:  978-1-4704-6435-6
Product Code:  PSPUM/103.2.B
List Price: $274.00 $205.50
MAA Member Price: $246.60 $184.95
AMS Member Price: $219.20 $164.40
Integrability, Quantization, and Geometry
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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
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
eBook 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
Softcover ISBN:  978-1-4704-5592-7
eBook ISBN:  978-1-4704-6435-6
Product Code:  PSPUM/103.2.B
List Price: $274.00 $205.50
MAA Member Price: $246.60 $184.95
AMS Member Price: $219.20 $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.

    Readership

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

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    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.

Readership

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 publishers of book reviews
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.