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Topics in Noncommutative Geometry, Guillermo Cortinas


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в Мои желания

Автор: Guillermo Cortinas
Название:  Topics in Noncommutative Geometry
ISBN: 9780821868645
Издательство: Mare Nostrum (Eurospan)
Классификация:



ISBN-10: 0821868640
Обложка/Формат: Paperback
Страницы: 276
Вес: 0.51 кг.
Дата издания: 30.12.2012
Серия: Mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Mathematical physics
Подзаголовок: Third luis santalo winter school-cimpa research school on topics in noncommutative geometry, july 26-august 6, 2010, universidad de buenos aires, buenos aires, argentina
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Поставляется из: Англии
Описание: Luis Santalo Winter Schools are organized yearly by the Mathematics Department and the Santalo Mathematical Research Institute of the School of Exact and Natural Sciences of the University of Buenos Aires (FCEN). This volume contains the proceedings of the third Luis Santalo Winter School which was devoted to noncommutative geometry and held at FCEN July 26-August 6, 2010. Topics in this volume concern noncommutative geometry in a broad sense, encompassing various mathematical and physical theories that incorporate geometric ideas to the study of noncommutative phenomena. It explores connections with several areas including algebra, analysis, geometry, topology and mathematical physics. Bursztyn and Waldmann discuss the classification of star products of Poisson structures up to Morita equivalence. Tsygan explains the connections between Kontsevichs formality theorem, noncommutative calculus, operads and index theory. Hoefel presents a concrete elementary construction in operad theory. Meyer introduces the subject of $\mathrm{C}^*$-algebraic crossed products. Rosenberg introduces Kasparovs $KK$-theory and noncommutative tori and includes a discussion of the Baum-Connes conjecture for $K$-theory of crossed products, among other topics. Lafont, Ortiz, and Sanchez-Garcia carry out a concrete computation in connection with the Baum-Connes conjecture. Zuk presents some remarkable groups produced by finite automata. Mesland discusses spectral triples and the Kasparov product in $KK$-theory. Trinchero explores the connections between Connes noncommutative geometry and quantum field theory. Karoubi demonstrates a construction of twisted $K$-theory by means of twisted bundles. Tabuada surveys the theory of noncommutative motives.

Noncommutative Algebraic Geometry

Автор: Bellamy
Название: Noncommutative Algebraic Geometry
ISBN: 1107129540 ISBN-13(EAN): 9781107129542
Издательство: Cambridge Academ
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Цена: 82370.00 T
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Описание: This book provides a comprehensive introduction to some of the most significant interactions between noncommutative algebra and representation theory and classical algebraic geometry, including noncommutative projective algebraic geometry, deformation theory, symplectic reflection algebras, and noncommutative resolutions of singularities.

Noncommutative Geometry and Particle Physics

Автор: Walter D. van Suijlekom
Название: Noncommutative Geometry and Particle Physics
ISBN: 9402401717 ISBN-13(EAN): 9789402401714
Издательство: Springer
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Цена: 52230.00 T
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Описание: 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.

Spectral Action in Noncommutative Geometry

Автор: Eckstein
Название: Spectral Action in Noncommutative Geometry
ISBN: 3319947877 ISBN-13(EAN): 9783319947877
Издательство: Springer
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Цена: 51230.00 T
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Описание: This book offers a guided tour through the mathematical habitat of noncommutative geometry a la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given.

Noncommutative Motives

Автор: Goncalo Tabuada
Название: Noncommutative Motives
ISBN: 1470423979 ISBN-13(EAN): 9781470423971
Издательство: Mare Nostrum (Eurospan)
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Цена: 44350.00 T
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Описание: Provides an overview of the advances in the theory of noncommutative motives. Part one is devoted to the study of DG categories from a homotopical viewpoint; part two covers the theory of noncommutative pure motives, noncommutative standard conjectures, and noncommutative motivic Galois groups; the third part is devoted to the theory of noncommutative mixed motives.

Noncommutative Geometry and Optimal Transport

Автор: Pierre Martinetti, Jean-Christophe Wallet
Название: Noncommutative Geometry and Optimal Transport
ISBN: 1470422972 ISBN-13(EAN): 9781470422974
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: Contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held in November 2014. This volume contains several review papers that will give the reader an extensive introduction to the metric aspect of noncommutative geometry and its possible interpretation as a Wasserstein distance on a quantum space, as well as several topic papers.

Noncommutative Geometry And Physics 4 - Workshop On Strings, Membranes And Topological Field Theory

Автор: Kotani Motoko, Maeda Yoshiaki, Moriyoshi Hitoshi, Watamura Satoshi
Название: Noncommutative Geometry And Physics 4 - Workshop On Strings, Membranes And Topological Field Theory
ISBN: 9813144602 ISBN-13(EAN): 9789813144606
Издательство: World Scientific Publishing
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Цена: 129890.00 T
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Описание:

This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 "Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information", and related events in the period 2014-2016.

This volume especially contains an overview of recent developments in the theory of strings and membranes, as well as topological field theory.


Noncommutative Geometry: A Functorial Approach

Автор: Igor V. Nikolaev
Название: Noncommutative Geometry: A Functorial Approach
ISBN: 3110543176 ISBN-13(EAN): 9783110543179
Издательство: Walter de Gruyter
Цена: 123910.00 T
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Описание:

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical remarks, bibliography, and a list of exercises is included. The presentation is intended for graduate students and researchers with interests in NCG, but will also serve nonexperts in the field.

Contents
Part I: Basics
Model examples
Categories and functors
C∗-algebras

Part II: Noncommutative invariants
Topology
Algebraic geometry
Number theory

Part III: Brief survey of NCG
Finite geometries
Continuous geometries
Connes geometries
Index theory
Jones polynomials
Quantum groups
Noncommutative algebraic geometry
Trends in noncommutative geometry


Noncommutative Geometry and Number Theory

Автор: Caterina Consani; Klas Diederich; Matilde Marcolli
Название: Noncommutative Geometry and Number Theory
ISBN: 3834826731 ISBN-13(EAN): 9783834826732
Издательство: Springer
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Цена: 74010.00 T
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Описание: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. Research across these ?elds has now reached an imp- tant turning point, as shows the increasing interest with which the mathematical community approaches these topics. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new c- nections between the ?elds of number theory, algebraic geometry and noncom- tative geometry. Thecontributionstothisvolumepartlyre?ectthetwoworkshops"Noncom- tative Geometry and Number Theory" that took place at the Max-Planck-Institut f] ur Mathematik in Bonn, in August 2003 and June 2004. The two workshops were the ?rst activity entirely dedicated to the interplay between these two ?elds of mathematics. An important part of the activities, which is also re?ected in this volume, came from the hindsight of physics which often provides new perspectives onnumber theoretic problems that make it possible to employ the tools of nonc- mutative geometry, well designed to describe the quantum world.

Noncommutative Differential Geometry and Its Applications to Physics

Автор: Yoshiaki Maeda; Hitoshi Moriyoshi; Hideki Omori; D
Название: Noncommutative Differential Geometry and Its Applications to Physics
ISBN: 0792369300 ISBN-13(EAN): 9780792369301
Издательство: Springer
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Цена: 148010.00 T
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Описание: Contains the proceedings of the international symposium on commutative differential geometry and its applications to physics held in Japan, in July 1999. Designed for a seminar in noncommutative geometry and physics, this title covers topics such as deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes.

Noncommutative Geometry and the Standard Model of Elementary Particle Physics

Автор: Florian Scheck; Wend Werner; Harald Upmeier
Название: Noncommutative Geometry and the Standard Model of Elementary Particle Physics
ISBN: 3642078974 ISBN-13(EAN): 9783642078972
Издательство: Springer
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Цена: 95770.00 T
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Elements of Noncommutative Geometry

Автор: Jose M. Gracia-Bondia; Joseph C. Varilly; Hector F
Название: Elements of Noncommutative Geometry
ISBN: 146126569X ISBN-13(EAN): 9781461265696
Издательство: Springer
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Цена: 83850.00 T
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Quantum Field Theory and Noncommutative Geometry

Автор: Ursula Carow-Watamura; Yoshiaki Maeda; Satoshi Wat
Название: Quantum Field Theory and Noncommutative Geometry
ISBN: 3642062873 ISBN-13(EAN): 9783642062872
Издательство: Springer
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Цена: 73990.00 T
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Описание: This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry.


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