Integrable Systems And Algebraic Geometry Volume 1 PDF Download
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| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 421 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 110880358X |
Download Integrable Systems and Algebraic Geometry: Volume 1 Book in PDF, ePub and Kindle
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.
| Author | : W. V. D. Hodge |
| Publisher | : Cambridge University Press |
| Total Pages | : 454 |
| Release | : 1994-03-10 |
| Genre | : Mathematics |
| ISBN | : 9780521469005 |
Download Methods of Algebraic Geometry: Volume 1 Book in PDF, ePub and Kindle
All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 537 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 1108805337 |
Download Integrable Systems and Algebraic Geometry: Volume 2 Book in PDF, ePub and Kindle
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
| Author | : Kenji Iohara |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 633 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1447148630 |
Download Symmetries, Integrable Systems and Representations Book in PDF, ePub and Kindle
This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some review articles. The subjects discussed range across diverse areas such as algebraic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through these topics, the reader will find some recent developments in the field of mathematical physics and their interactions with several other domains.
| Author | : Sergey Novikov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 516 |
| Release | : 2021-04-12 |
| Genre | : Education |
| ISBN | : 1470455919 |
Download Integrability, Quantization, and Geometry: I. Integrable Systems Book in PDF, ePub and Kindle
This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.
| Author | : Pol Vanhaecke |
| Publisher | : Springer Verlag |
| Total Pages | : 240 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : |
Download Integrable Systems in the Realm of Algebraic Geometry Book in PDF, ePub and Kindle
2. Divisors and line bundles 97 2.1. Divisors . . 97 2.2. Line bundles 98 2.3. Sections of line bundles 99 2.4. The Riemann-Roch Theorem 101 2.5. Line bundles and embeddings in projective space 103 2.6. Hyperelliptic curves 104 3. Abelian varieties 106 3.1. Complex tori and Abelian varieties 106 3.2. Line bundles on Abelian varieties 107 3.3. Abelian surfaces 109 4. Jacobi varieties . . . 112 4.1. The algebraic Jacobian 112 4.2. The analytic/trancendental Jacobian 112 4.3. Abel's Theorem and Jacobi inversion 116 4.4. Jacobi and Kummer surfaces 118 4.5. Abelian surfaces of type (1.4) 120 V. Algebraic completely integrable Hamiltonian systems 123 1. Introduction . 123 2. A.c.i. systems 125 3. Painleve analysis for a.c.i. systems 131 4. Linearization of two-dimensional a.c.i. systems 134 5. Lax equations 136 VI. The master systems 139 1. Introduction . . . . .
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 421 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 1108715745 |
Download Integrable Systems and Algebraic Geometry Book in PDF, ePub and Kindle
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
| Author | : N.J. Hitchin |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 148 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 0199676771 |
Download Integrable Systems Book in PDF, ePub and Kindle
Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
| Author | : Mark Adler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 487 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 366205650X |
Download Algebraic Integrability, Painlevé Geometry and Lie Algebras Book in PDF, ePub and Kindle
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.
| Author | : Paolo Aluffi |
| Publisher | : Cambridge University Press |
| Total Pages | : 418 |
| Release | : 2022-04-07 |
| Genre | : Mathematics |
| ISBN | : 1108890539 |
Download Facets of Algebraic Geometry: Volume 1 Book in PDF, ePub and Kindle
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
