Integrable Systems and Algebraic Geometry: Volume 1

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Ron Donagi (University of Pennsylvania) Tony Shaska (Oakland University, Michigan)

Integrable Systems and Algebraic Geometry

Volume 1

Ron Donagi (University of Pennsylvania), Tony Shaska (Oakland University, Michigan)

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English

Cambridge University Press
02 April 2020

Differential calculus & equations; Algebraic geometry; Mathematical physics

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Ron Donagi (University of Pennsylvania), Tony Shaska (Oakland University, Michigan)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 228mm, Width: 152mm, Spine: 22mm
Weight: 610g
ISBN: 9781108715744
ISBN 10: 1108715745
Series: London Mathematical Society Lecture Note Series
Pages: 420
Publication Date: 02 April 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Ron Donagi is Professor of Mathematics and Physics at the University of Pennsylvania. He works in algebraic geometry and string theory, and is a Fellow of the American Mathematical Society. He has written and edited several books, including Integrable Systems and Quantum Groups (2009). Tony Shaska is Associate Professor in the Department of Mathematics at Oakland University, Michigan. He works in algebraic and arithmetic geometry with an emphasis on algebraic curves and their Jacobians, including arithmetic aspects. He is an active researcher and has edited many books including Computational Aspects of Algebraic Curves (2005), Advances in Coding Theory and Cryptography (2007), Advances on Superelliptic Curves and Their Applications (2015) and Algebraic Curves and Their Applications (2019). He has been Editor in Chief of the Albanian Journal of Mathematics since 2007.

Reviews for Integrable Systems and Algebraic Geometry: Volume 1

'I compliment the authors for the fact that the articles are all well-written and very interesting. However, the consistent high-quality throughout the collection suggests that the editors and the researcher to whom it is dedicated also deserve to share some of the credit. This two volume set captures a fascinating snapshot of the current state of this (literally) dynamic area of algebraic geometry research. It is highly recommended as a reference and an inspiration for anyone interested in this subject.' Alex Kasman, MAA Reviews