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Integrable Systems in the realm of Algebraic Geometry

2013-11-11 Mathematics
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Release : 2013-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 357/5 ( reviews)

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Book Synopsis Integrable Systems in the realm of Algebraic Geometry by : Pol Vanhaecke

Download or read book Integrable Systems in the realm of Algebraic Geometry written by Pol Vanhaecke. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: Integrable systems are related to algebraic geometry in many different ways. This book deals with some aspects of this relation, the main focus being on the algebraic geometry of the level manifolds of integrable systems and the construction of integrable systems, starting from algebraic geometric data. For a rigorous account of these matters, integrable systems are defined on affine algebraic varieties rather than on smooth manifolds. The exposition is self-contained and is accessible at the graduate level; in particular, prior knowledge of integrable systems is not assumed.

Integrable Hamiltonian Systems in the Realm of Algebraic Geometry

1995 Abelian varieties
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Release : 1995
Genre : Abelian varieties
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Integrable Hamiltonian Systems in the Realm of Algebraic Geometry by : Pol Vanhaecke

Download or read book Integrable Hamiltonian Systems in the Realm of Algebraic Geometry written by Pol Vanhaecke. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Integrable Systems and Algebraic Geometry

2020-04-02 Mathematics
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Release : 2020-04-02
Genre : Mathematics
Kind : eBook
Book Rating : 745/5 ( reviews)

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Book Synopsis Integrable Systems and Algebraic Geometry by : Ron Donagi

Download or read book Integrable Systems and Algebraic Geometry written by Ron Donagi. This book was released on 2020-04-02. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Tropical Geometry and Integrable Systems

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 531/5 ( reviews)

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Book Synopsis Tropical Geometry and Integrable Systems by : Chris Athorne

Download or read book Tropical Geometry and Integrable Systems written by Chris Athorne. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on tropical geometry and integrable systems, held July 3-8, 2011, at the University of Glasgow, United Kingdom. One of the aims of this conference was to bring together researchers in the field of tropical geometry and its applications, from apparently disparate ends of the spectrum, to foster a mutual understanding and establish a common language which will encourage further developments of the area. This aim is reflected in these articles, which cover areas from automata, through cluster algebras, to enumerative geometry. In addition, two survey articles are included which introduce ideas from researchers on one end of this spectrum to researchers on the other. This book is intended for graduate students and researchers interested in tropical geometry and integrable systems and the developing links between these two areas.

Algebraic Integrability, Painlevé Geometry and Lie Algebras

2013-03-14 Mathematics
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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 50X/5 ( reviews)

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Book Synopsis Algebraic Integrability, Painlevé Geometry and Lie Algebras by : Mark Adler

Download or read book Algebraic Integrability, Painlevé Geometry and Lie Algebras written by Mark Adler. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.

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