Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces - Couverture souple

Hitchin, N.J.; Segal, G. B.; Ward, R.S.

 
9780199676774: Integrable Systems: Twistors, Loop Groups, and Riemann Surfaces
Couverture souple
ISBN 10 : 0199676771 ISBN 13 : 9780199676774
Editeur : Oxford University Press, 2013

Synopsis

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors. The book has its origins in a series of lecture courses given by the authors, all of whom are internationally known mathematicians and renowned expositors. It is written in an accessible and informal style, and fills a gap in the existing literature. The introduction by Nigel Hitchin addresses the meaning of integrability: how do we recognize an integrable system? His own contribution then develops connections with algebraic geometry, and includes an introduction to Riemann surfaces, sheaves, and line bundles. Graeme Segal takes the Kortewegde Vries and nonlinear Schrödinger equations as central examples, and explores the mathematical structures underlying the inverse scattering transform. He explains the roles of loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and the self-dual Yang-Mills equations, and describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Nigel Hitchin is Savilian Professor of Geometry at the University of Oxford

Graeme Segal is Emeritus Fellow of All Souls College, University of Oxford

Richard Ward is Professor in the Department of Mathematical Sciences, Durham University

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
2013
Langue
anglais
ISBN 10 
0199676771
ISBN 13 
9780199676774
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
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