Reiko Miyaoka's Books

Differential Geometry and Integrable Systems

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

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Differential Geometry and Integrable Systems

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced byintegrable systems. This book is the first of three collections of expository and research articles. This volume focuses on differential geometry. It is remarkable that many classical objects in surface theory and submanifold theory are described as integrable systems. Having such a description generallyreveals previously unnoticed symmetries and can lead to surprisingly explicit solutions. Surfaces of constant curvature in Euclidean space, harmonic maps from surfaces to symmetric spaces, and analogous structures on higher-dimensional manifolds are some of the examples that have broadened the horizons of differential geometry, bringing a rich supply of concrete examples into the theory of integrable systems. Many of the articles in this volume are written by prominent researchers and willserve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The second volume from this conference also available from the AMS is Integrable Systems,Topology, and Physics, Volume 309 CONM/309in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.

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Page Count

370

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829386

ISBN 13

9780821829387

Integrable Systems, Topology, and Physics

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integrable Systems, Topology, and Physics

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on topology and physics. The role of zero curvature equations outside of the traditional context of differential geometry has been recognized relatively recently, but it has been an extraordinarily productive one, and most of the articles in this volume make some reference to it. Symplectic geometry, Floer homology, twistor theory, quantum cohomology, and the structure of special equations of mathematical physics, such as the Toda field equations--all of these areas have gained from the integrable systems point of view and contributed to it. Many of the articles in this volume are written by prominent researchers and will serve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The first volume from this conference also available from the AMS is Differential Geometry and Integrable Systems, Volume 308 CONM/308 in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.

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Solve jigsaw puzzle

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Page Count

344

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829394

ISBN 13

9780821829394

Differential Geometry and Integrable Systems

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Geometry and Integrable Systems

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

370

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829386

ISBN 13

9780821829387

Integrable Systems, Topology, and Physics

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integrable Systems, Topology, and Physics

A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000

By: Martin A. Guest,Reiko Miyaoka,Yoshihiro Ohnita

Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie theory, algebraic geometry, symplectic geometry, and topology, classical problems are investigated more systematically. New problems are also arising in mathematical physics. A major international conference was held at the University of Tokyo in July 2000. It brought together scientists in all of the areas influenced by integrable systems. This book is the second of three collections of expository and research articles. This volume focuses on topology and physics. The role of zero curvature equations outside of the traditional context of differential geometry has been recognized relatively recently, but it has been an extraordinarily productive one, and most of the articles in this volume make some reference to it. Symplectic geometry, Floer homology, twistor theory, quantum cohomology, and the structure of special equations of mathematical physics, such as the Toda field equations--all of these areas have gained from the integrable systems point of view and contributed to it. Many of the articles in this volume are written by prominent researchers and will serve as introductions to the topics. It is intended for graduate students and researchers interested in integrable systems and their relations to differential geometry, topology, algebraic geometry, and physics. The first volume from this conference also available from the AMS is Differential Geometry and Integrable Systems, Volume 308 CONM/308 in the Contemporary Mathematics series. The forthcoming third volume will be published by the Mathematical Society of Japan and will be available outside of Japan from the AMS in the Advanced Studies in Pure Mathematics series.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

344

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829394

ISBN 13

9780821829394

Book's by Reiko Miyaoka

Differential Geometry and Integrable Systems

Differential Geometry and Integrable Systems

Integrable Systems, Topology, and Physics

Integrable Systems, Topology, and Physics

Differential Geometry and Integrable Systems

Differential Geometry and Integrable Systems

Integrable Systems, Topology, and Physics

Integrable Systems, Topology, and Physics

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