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Published online by Cambridge University Press: 06 January 2010
Integrable systems continue to fascinate because they are examples of systems with nontrivial nonlinearities that one can nevertheless systematically analyse and often solve exactly analytically. However, there is no royal road to complete integrability, or even a precise all-encompassing definition and so, instead, one must resort to patterns and themes. This volume is concerned with a theme that emerges time and again of the deep links that integrability has with geometry. The motivation for holding a research semester devoted to ‘Geometry and Integrability’ at the Feza Gürsey Institute was precisely for the purpose of exposing students and post-docs to modern geometrical structures that form the natural setting for completely integrable systems.
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