Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry

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Publisher : World Scientific
ISBN 13 : 9814425028
Total Pages : 537 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry by : Giuseppe Dito

Download or read book Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry written by Giuseppe Dito and published by World Scientific. This book was released on 2013-01-11 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 1982 Fields Medalist Alain Connes on the basis of his fundamental works in operator algebras. It is now a very active branch of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field. It is an important topic both for mathematics and physics.

Fields And Geometry 1986 - Proceedings Of The 22nd Winter School And Workshop Of Theoretical Physics

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Publisher : World Scientific
ISBN 13 : 9813201819
Total Pages : 688 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Fields And Geometry 1986 - Proceedings Of The 22nd Winter School And Workshop Of Theoretical Physics by : Arkadiusz Jadczyk

Download or read book Fields And Geometry 1986 - Proceedings Of The 22nd Winter School And Workshop Of Theoretical Physics written by Arkadiusz Jadczyk and published by World Scientific. This book was released on 1987-01-01 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuation of global poverty is inextricably entwined with the fundamental philosophy of the market economy. It is driven by the individual's neverending desire for “profit”, leading to a critically imbalanced distribution of resources. As an entrepreneurial initiative, this book advocates a shift in the responsibility for relief of poverty away from the government to the private sector, and in particular to corporate entities. The concept of the “residual” is used as the cornerstone of business operations and wealth distribution. Corporate decision-makers, while making proprietary decisions for resources allocation, must assume stewardship responsibility and be accountable not just to financial investors but to all contributors of the corporate entity.

Noncommutative Spacetimes

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Publisher : Springer
ISBN 13 : 3540897933
Total Pages : 205 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Noncommutative Spacetimes by : Paolo Aschieri

Download or read book Noncommutative Spacetimes written by Paolo Aschieri and published by Springer. This book was released on 2009-07-07 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many approaches to noncommutative geometry and its use in physics, the ? operator algebra and C -algebra one, the deformation quantization one, the qu- tum group one, and the matrix algebra/fuzzy geometry one. This volume introduces and develops the subject by presenting in particular the ideas and methods recently pursued by Julius Wess and his group. These methods combine the deformation quantization approach based on the - tion of star product and the deformed (quantum) symmetries methods based on the theory of quantum groups. The merging of these two techniques has proven very fruitful in order to formulate ?eld theories on noncommutative spaces. The aim of the book is to give an introduction to these topics and to prepare the reader to enter the research ?eld himself/herself. This has developed from the constant interest of Prof. W. Beiglboeck, editor of LNP, in this project, and from the authors experience in conferences and schools on the subject, especially from their interaction with students and young researchers. In fact quite a few chapters in the book were written with a double purpose, on the one hand as contributions for school or conference proceedings and on the other handaschaptersforthepresentbook.Thesearenowharmonizedandcomplemented by a couple of contributions that have been written to provide a wider background, to widen the scope, and to underline the power of our methods.

Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory

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Publisher : World Scientific
ISBN 13 : 9812381317
Total Pages : 495 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory by : Hernan Ocampo

Download or read book Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory written by Hernan Ocampo and published by World Scientific. This book was released on 2003 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.

Proceedings of the International Congress of Mathematicians

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Publisher : Birkhäuser
ISBN 13 : 3034890788
Total Pages : 1669 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Proceedings of the International Congress of Mathematicians by : S.D. Chatterji

Download or read book Proceedings of the International Congress of Mathematicians written by S.D. Chatterji and published by Birkhäuser. This book was released on 2012-12-06 with total page 1669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Handbook of Algebra

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Publisher : Elsevier
ISBN 13 : 0080569412
Total Pages : 577 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2008-04-18 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed. - Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Krichever–Novikov Type Algebras

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110381478
Total Pages : 453 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Krichever–Novikov Type Algebras by : Martin Schlichenmaier

Download or read book Krichever–Novikov Type Algebras written by Martin Schlichenmaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-19 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric origin are still manageable. This book gives an introduction for the newcomer to this exciting field of ongoing research in mathematics and will be a valuable source of reference for the experienced researcher. Beside the basic constructions and results also applications are presented.

Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9814555509
Total Pages : 1228 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) by : Sultan Catto

Download or read book Differential Geometric Methods In Theoretical Physics - Proceedings Of The Xx International Conference (In 2 Volumes) written by Sultan Catto and published by World Scientific. This book was released on 1992-01-27 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings reports on some of the most recent advances on the interaction between Differential Geometry and Theoretical Physics, a very active and exciting area of contemporary research.The papers are grouped into the following four broad categories: Geometric Methods, Noncommutative Geometry, Quantum Gravity and Topological Quantum Field Theory. A few of the topics covered are Chern-Simons Theory and Generalizations, Knot Invariants, Models of 2D Gravity, Quantum Groups and Strings on Black Holes.

Supplemento ai Rendiconti del Circolo matematico di Palermo

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Publisher :
ISBN 13 :
Total Pages : 562 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Supplemento ai Rendiconti del Circolo matematico di Palermo by : Circolo matematico di Palermo

Download or read book Supplemento ai Rendiconti del Circolo matematico di Palermo written by Circolo matematico di Palermo and published by . This book was released on 2006 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Structures and Applications

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Publisher : Springer
ISBN 13 : 3319971751
Total Pages : 468 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematical Structures and Applications by : Toka Diagana

Download or read book Mathematical Structures and Applications written by Toka Diagana and published by Springer. This book was released on 2018-10-31 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume features invited papers on current research and applications in mathematical structures. Featuring various disciplines in the mathematical sciences and physics, articles in this volume discuss fundamental scientific and mathematical concepts as well as their applications to topical problems. Special emphasis is placed on important methods, research directions and applications of analysis within and beyond each field. Covered topics include Metric operators and generalized hermiticity, Semi-frames, Hilbert-Schmidt operator, Symplectic affine action, Fractional Brownian motion, Walker Osserman metric, Nonlinear Maxwell equations, The Yukawa model, Heisenberg observables, Nonholonomic systems, neural networks, Seiberg-Witten invariants, photon-added coherent state, electrostatic double layers, and star products and functions. All contributions are from the participants of the conference held October 2016 in Cotonou, Benin in honor of Professor Mahouton Norbert Hounkonnou for his outstanding contributions to the mathematical and physical sciences and education. Accessible to graduate students and postdoctoral researchers, this volume is a useful resource to applied scientists, applied and pure mathematicians, and mathematical and theoretical physicists.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structure and Geometry of Lie Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 0387847944
Total Pages : 742 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Structure and Geometry of Lie Groups by : Joachim Hilgert

Download or read book Structure and Geometry of Lie Groups written by Joachim Hilgert and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.

Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski

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Publisher : World Scientific
ISBN 13 : 9812700471
Total Pages : 528 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski by : Hugo Garc¡a-Compe n

Download or read book Topics in Mathematical Physics, General Relativity, and Cosmology in Honor of Jerzy Pleba?ski written by Hugo Garc¡a-Compe n and published by World Scientific. This book was released on 2006 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of modern science's most famous and controversial figures, Jerzy Plebanski was an outstanding theoretical physicist and an author of many intriguing discoveries in general relativity and quantum theory. Known for his exceptional analytic talents, explosive character, inexhaustible energy, and bohemian nights with brandy, coffee, and enormous amounts of cigarettes, he was dedicated to both science and art, producing innumerable handwritten articles - resembling monk's calligraphy - as well as a collection of oil paintings. As a collaborator but also an antagonist of Leopold Infeld's (a coauthor of Albert Einstein's), Plebanski is recognized for designing the "heavenly" and "hyper-heavenly" equations, for introducing new variables to describe the gravitational field, for the exact solutions in Einstein's gravity and in quantum theory, for his classification of the tensor of matter, for some outstanding results in nonlinear electrodynamics, and for analyzing general relativity with continuous sources long before Chandrasekhar et al. A tribute to Plebaski's contributions and the variety of his interests, this is a unique and wide-ranging collection of invited papers, covering gravity quantization, strings, branes, supersymmetry, ideas on the deformation quantization, and lesser known results on the continuous Baker-Campbell-Hausdorff problem.

Cartan Geometries and their Symmetries

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Publisher : Springer
ISBN 13 : 9462391920
Total Pages : 298 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Cartan Geometries and their Symmetries by : Mike Crampin

Download or read book Cartan Geometries and their Symmetries written by Mike Crampin and published by Springer. This book was released on 2016-05-20 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.

Deformation Theory of Algebras and Their Diagrams

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Publisher : American Mathematical Soc.
ISBN 13 : 0821889796
Total Pages : 143 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Deformation Theory of Algebras and Their Diagrams by : Martin Markl

Download or read book Deformation Theory of Algebras and Their Diagrams written by Martin Markl and published by American Mathematical Soc.. This book was released on 2012 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopy-invariant setup of Maurer-Cartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations.

Symmetries and Overdetermined Systems of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387738312
Total Pages : 565 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Symmetries and Overdetermined Systems of Partial Differential Equations by : Michael Eastwood

Download or read book Symmetries and Overdetermined Systems of Partial Differential Equations written by Michael Eastwood and published by Springer Science & Business Media. This book was released on 2009-04-23 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

Differential Geometric Methods in Theoretical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1468491482
Total Pages : 795 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Differential Geometric Methods in Theoretical Physics by : Ling-Lie Chau

Download or read book Differential Geometric Methods in Theoretical Physics written by Ling-Lie Chau and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit ful again. Many of the leading specialists of both fields became involved in this devel opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preceded by a two-week summer school. Ten lecturers gave extended lectures on related topics. The proceedings of the school will also be published in the NATO-AS[ volume by Plenum. The Editors vii ACKNOWLEDGMENTS We would like to thank the many people who have made the conference a success. Furthermore, ·we appreciate the excellent talks. The active participation of everyone present made the conference lively and stimulating. All of this made our efforts worth while.