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Integrable Systems and Algebraic Geometry: Volume 1

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Title: Integrable Systems and Algebraic Geometry: Volume 1
Description: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
Authors: Ron Donagi, Tony Shaska
Resource Type: eBook.
Subjects: Differentiable dynamical systems, Geometry, Algebraic
Categories: MATHEMATICS / General
Database: eBook Collection (EBSCOhost)
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PubType: eBook
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  Data: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
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    Classifications:
      – Code: 515.39
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differentiable dynamical systems
        Type: general
      – SubjectFull: Geometry, Algebraic
        Type: general
    Titles:
      – TitleFull: Integrable Systems and Algebraic Geometry: Volume 1
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Ron Donagi
      – PersonEntity:
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            NameFull: Tony Shaska
      – PersonEntity:
          Name:
            NameFull: Ron Donagi
      – PersonEntity:
          Name:
            NameFull: Tony Shaska
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
            – D: 10
              M: 12
              Type: profile
              Y: 2025
          Identifiers:
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              Value: 9781108715744
            – Type: isbn-electronic
              Value: 9781108802062
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              Value: 00001
          Titles:
            – TitleFull: Integrable Systems and Algebraic Geometry: Volume 1
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