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Thursday, July 30, 2020 | History

4 edition of Noncommutative geometry and physics found in the catalog.

Noncommutative geometry and physics

proceedings of the COE international workshop, Yokohama, Japan 26-28 February, 1-3 March 2004

  • 17 Want to read
  • 15 Currently reading

Published by World Scientific Publishing in Singapore, Hackensack, NJ .
Written in English


Edition Notes

Statementedited by Yoshiaki Maeda ... [et al.].
Classifications
LC ClassificationsQC
The Physical Object
Paginationix, 378 p. ;
Number of Pages378
ID Numbers
Open LibraryOL22721133M
ISBN 109812564926

Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense). This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry.

Hopf Algebras in Noncommutative Geometry and Physics - CRC Press Book This comprehensive reference summarizes the proceedings and keynote presentations from a recent conference held in Brussels, Belgium. "Basic Noncommutative Geometry provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for self-study. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject.

  This book has been on my shelf for several years. It is more of a bible for noncommutative geometry written by its chief inventor than it is a math textbook. If you want the perspective and context that Alain Connes invented all of these crazy ideas in, this is the first place to go/5. Developed by Alain Connes, noncommutative geometry is the set of tools and methods that makes possible the classification and analysis of a broad range of /5(7).


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Noncommutative geometry and physics Download PDF EPUB FB2

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative by: The common theme of the articles is the influence of ideas from noncommutative geometry (NCG) on subjects ranging from number theory to Lie algebras, index theory, and mathematical physics.

Matilde Marcolli's article gives a survey of relevant aspects of NCG in number theory, building on an introduction to motives for beginners by Jorge Plazas and Sujatha by: Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics. It was founded in the early eighties by the Fields Medalist Alain Connes on the basis of his fundamental works in operator : Hardcover.

The subject of noncommutative geometry has recently made its way into theoretical physics, and so a perusal of this book would be of interest to individuals working in string theory or quantum field theory.

The main idea of this book is to generalize measure and operator theory to non-commutative situations.4/5(9). This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics.

It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry.

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative : Springer Netherlands.

Noncommutative Geometry and Physics 3. Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics.

It was founded in the early eighties by the Fields Medalist Alain Connes on the basis of his fundamental works in. This review is based on two lectures given at the TMR school in Torino∗. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z2, and its application to Kaluza-Klein gauge theories on discrete internal spaces.

This book is based on lectures delivered at Harvard in the Spring of and at the University of Utah during the academic year Formally, the book assumes only general algebraic knowledge (rings, modules, groups, Lie algebras, functors etc.).

It is helpful, however, to know some basics of. The correspondence between geometric spaces and commutative algebras is a familiar and basic idea of algebraic geometry. The purpose of this book is to extend this correspondence to the noncommutative case in the framework of real analysis.

The theory, called noncommutative geometry, rests on two essential points: 1. This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period – Noncommutative Geometry and Physics.

Analysis and Mathematical Physics. Möbius. The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.

( views) Noncommutative Geometry by Alain Connes. This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative.

Noncommutative Geometry and Physics 3 (Keio COE Lecture Series on Mathematical Science Book 1) - Kindle edition by Giuseppe Dito, Motoko Kotani, Yoshiaki Maeda, Hitoshi Moriyoshi, Toshikazu Natsume, Satoshi Watamura. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Noncommutative Geometry. Alain Connes’ noncommutative geometry, started in [0], widely develo- ped in as expounded in his book at this date [0] (it has grown meanwhile) is a systematic quantization of Author: Daniel Kastler.

Noncommutative Geometry and Number Theory Where Arithmetic meets Geometry and Physics They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

*immediately available upon purchase as print book. Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics.

The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various. The book stresses the relevance of noncommutative geometry in dealing with these two spaces. The first part of the book deals with quantum field theory and the geometric structure of renormalization as a Riemann-Hilbert correspondence.

It also presents a model of elementary particle physics based on noncommutative geometry. His research specialties include noncommutative geometry, mathematical physics, noncommutative spectral geometry, cyclic cohomology, quantum groups and Hopf algebras.

Henri Moscovici is professor and Alice Woods Chair in Mathematics at Ohio State University. His areas of research include noncommutative geometry, global analysis and. Buy Noncommutative Geometry and Particle Physics (Mathematical Physics Studies) by van Suijlekom, Walter D.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(1). Purchase Noncommutative Geometry - 1st Edition.

Print Book & E-Book. ISBN  Abstract. Alain Connes’ noncommutative geometry, started in [], widely develo- ped in as expounded in his book at this date [] (it has grown meanwhile) is a systematic quantization of mathematics parallel to the quantization of physics effected in the theory widens the scope of mathematics in a manner congenial to physics, reorganizes the existing Cited by: Noncommutative Geometry, Quantum Fields and Motives by Alain Connes, Matilde Marcolli - American Mathematical Society The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory.

The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.