Integrable systems and algebraic geometry. Volume 1 / edited by Ron Donagi, Tony Shaska.

Format:

Book

Contributor:

Donagi, Ron, editor.

Shaska, Tony, 1967- editor.

Series:

London Mathematical Society lecture note series ; 458.

London Mathematical Society lecture note series ; 458

Language:

English

Subjects (All):

Differentiable dynamical systems.

Geometry, Algebraic.

Physical Description:

1 online resource (viii, 412 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2020.

Language Note:

English

Summary:

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.

Notes:

Title from publisher's bibliographic system (viewed on 19 Mar 2020).

"A Celebration of Emma Previato's 65th Birthday"--Title page.

ISBN:

1-108-80358-X

1-108-80206-0

1-108-77328-1