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.
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
About the Author
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
'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
'This is a book that will mainly be of interest to people who are at least aware of Emma Prevatio. It gives a good indication of the many areas of mathematics influenced by her work. It is clearly aimed more at working mathematicians or post-graduate students.' John Bartlett, Institute of Mathematics and its Applications
Book Information
ISBN 9781108715744
Author Ron Donagi
Format Paperback
Page Count 420
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 610g
Dimensions(mm) 228mm * 152mm * 22mm
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
About the Author
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
'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
'This is a book that will mainly be of interest to people who are at least aware of Emma Prevatio. It gives a good indication of the many areas of mathematics influenced by her work. It is clearly aimed more at working mathematicians or post-graduate students.' John Bartlett, Institute of Mathematics and its Applications
Book Information
ISBN 9781108715744
Author Ron Donagi
Format Paperback
Page Count 420
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 610g
Dimensions(mm) 228mm * 152mm * 22mm
