Noncommutative Geometry and Cayley-smooth Orders, Le Bruyn, Lieven
Автор: Bellamy Название: Noncommutative Algebraic Geometry ISBN: 1107129540 ISBN-13(EAN): 9781107129542 Издательство: Cambridge Academ Рейтинг: Цена: 82370.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Ali Chamseddine; Caterina Consani; Nigel Higson; M Название: Advances in Noncommutative Geometry ISBN: 3030295966 ISBN-13(EAN): 9783030295967 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23–April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.
Автор: Walter D. van Suijlekom Название: Noncommutative Geometry and Particle Physics ISBN: 9402401717 ISBN-13(EAN): 9789402401714 Издательство: Springer Рейтинг: Цена: 52230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Yuri I. Manin Название: Quantum Groups and Noncommutative Geometry ISBN: 3030074323 ISBN-13(EAN): 9783030074326 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an approach to quantum groups as symmetry objects in noncommutative geometry in contrast to the more deformation-oriented approach due to Faddeev, Drinfeld, and others. This new edition contains an extra chapter by Theo Raedschelders and Michel Van den Bergh, surveying recent work that focuses on the representation theory of a number of bi- and Hopf algebras that were first introduced in Manin's lectures, and have since gained a lot of attention. Emphasis is placed on the Tannaka–Krein formalism, which further strengthens Manin's approach to symmetry and moduli-objects in 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 Рейтинг: Цена: 73990.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Wim Beenakker; Thijs van den Broek; Walter D. Suij Название: Supersymmetry and Noncommutative Geometry ISBN: 3319247964 ISBN-13(EAN): 9783319247960 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this work the question whether noncommutative geometry allows for supersymmetric theories is addressed.
Автор: Eisenbud Название: Commutative Algebra and Noncommutative Algebraic Geometry ISBN: 110714972X ISBN-13(EAN): 9781107149724 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In recent years there have been many significant developments in these two fields; furthermore, the boundary between them has become increasingly blurred. Based on a series of successful lectures, this two-volume series contains survey articles and research papers by experts in the field which emphasise the connections between them. Volume 2 focuses on the most recent research.
Автор: Igor V. Nikolaev Название: Noncommutative Geometry: A Functorial Approach ISBN: 3110543176 ISBN-13(EAN): 9783110543179 Издательство: Walter de Gruyter Цена: 123910.00 T Наличие на складе: Невозможна поставка. 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
Автор: Guillermo Cortinas Название: Topics in Noncommutative Geometry ISBN: 0821868640 ISBN-13(EAN): 9780821868645 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 78540.00 T Наличие на складе: Невозможна поставка. 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 Kontsevich's 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 Kasparov's $KK$-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.
Автор: Eisenbud Название: Commutative Algebra and Noncommutative Algebraic Geometry ISBN: 1107065623 ISBN-13(EAN): 9781107065628 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 1 contains expository papers ideal for those entering the field.
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