Geometry and Integrability / Edited by Lionel Mason, Yavuz Nutku.

Contributor(s): Mason, Lionel [editor of compilation.] | Nutku, Yavuz [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 295Publisher: Cambridge : Cambridge University Press, 2003Description: 1 online resource (166 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511543135 (ebook)Other title: Geometry & IntegrabilitySubject(s): Global differential geometry | Twistor theory | Fiber spaces (Mathematics)Additional physical formats: Print version: : No titleDDC classification: 516.3/62 LOC classification: QA670 | .G463 2003Online resources: Click here to access online Summary: Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.
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Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.

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