Categorification in Geometry, Topology, and Physics, Anna Beliakova, Aaron D. Lauda
Автор: Bengtsson Ingemar Название: Geometry of Quantum States ISBN: 1107026253 ISBN-13(EAN): 9781107026254 Издательство: Cambridge Academ Рейтинг: Цена: 91860.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Kashiwara Название: Regular and Irregular Holonomic D-Modules ISBN: 1316613453 ISBN-13(EAN): 9781316613450 Издательство: Cambridge Academ Рейтинг: Цена: 55970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.
Автор: David Ayala, Daniel S. Freed, Ryan E. Grady Название: Topology and Quantum Theory in Interaction ISBN: 1470442434 ISBN-13(EAN): 9781470442439 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108680.00 T Наличие на складе: Невозможна поставка. Описание: This volume contains the proceedings of the NSF-CBMS Regional Conference on Topological and Geometric Methods in QFT, held from July 31-August 4, 2017, at Montana State University in Bozeman, Montana.In recent decades, there has been a movement to axiomatize quantum field theory into a mathematical structure. In a different direction, one can ask to test these axiom systems against physics. Can they be used to rederive known facts about quantum theories or, better yet, be the framework in which to solve open problems? Recently, Freed and Hopkins have provided a solution to a classification problem in condensed matter theory, which is ultimately based on the field theory axioms of Graeme Segal.Papers contained in this volume amplify various aspects of the Freed-Hopkins program, develop some category theory, which lies behind the cobordism hypothesis, the major structure theorem for topological field theories, and relate to Costello's approach to perturbative quantum field theory. Two papers on the latter use this framework to recover fundamental results about some physical theories: two-dimensional sigma-models and the bosonic string. Perhaps it is surprising that such sparse axiom systems encode enough structure to prove important results in physics. These successes can be taken as encouragement that the axiom systems are at least on the right track toward articulating what a quantum field theory is.
Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.
Автор: Baake Название: Aperiodic Order ISBN: 0521869919 ISBN-13(EAN): 9780521869911 Издательство: Cambridge Academ Рейтинг: Цена: 102430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This first volume in a series provides a graduate-level introduction to the many facets of aperiodic order. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. Numerous illustrations and examples are included.
Автор: Anna Beliakova, Aaron D. Lauda Название: Categorification and Higher Representation Theory ISBN: 1470424606 ISBN-13(EAN): 9781470424602 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108680.00 T Наличие на складе: Невозможна поставка. Описание: The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, revealing richer and more robust structures capable of describing more complex phenomena. Categorified representation theory, or higher representation theory, aims to understand a new level of structure present in representation theory. Rather than studying actions of algebras on vector spaces where algebra elements act by linear endomorphisms of the vector space, higher representation theory describes the structure present when algebras act on categories, with algebra elements acting by functors. The new level of structure in higher representation theory arises by studying the natural transformations between functors. This enhanced perspective brings into play a powerful new set of tools that deepens our understanding of traditional representation theory.This volume exhibits some of the current trends in higher representation theory and the diverse techniques that are being employed in this field with the aim of showcasing the many applications of higher representation theory.The companion volume (Contemporary Mathematics, Volume 684) is devoted to categorification in geometry, topology, and physics.
Автор: Nakahara, M. (department Of Mathematics And Physic Название: Geometry, topology and physics ISBN: 0750306068 ISBN-13(EAN): 9780750306065 Издательство: Taylor&Francis Рейтинг: Цена: 91860.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.
Автор: Cardona Alexander Название: Geometric, Algebraic and Topological Methods for Quantum Fie ISBN: 9814460044 ISBN-13(EAN): 9789814460040 Издательство: World Scientific Publishing Рейтинг: Цена: 141510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
Автор: Kholodenko Arkady Название: Applications of Contact Geometry and Topology in Physics ISBN: 9814412082 ISBN-13(EAN): 9789814412087 Издательство: World Scientific Publishing Рейтинг: Цена: 163680.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Although contact geometry and topology still remains a domain of research in pure mathematics. This book attempts to change the status quo. It is written in the style of Landau - Lifshitz (L - L) multivolume course in theoretical physics. It expects readers to have background in theoretical physics (at least at the level of the L - L course).
Автор: Sergei Gukov, Mikhail Khovanov, Johannes Walcher Название: Physics and Mathematics of Link Homology ISBN: 1470414597 ISBN-13(EAN): 9781470414597 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 108680.00 T Наличие на складе: Невозможна поставка. Описание: Throughout recent history, the theory of knot invariants has been a fascinating melting pot of ideas and scientific cultures, blending mathematics and physics, geometry, topology and algebra, gauge theory, and quantum gravity.The 2013 Seminaire de Mathematiques Superieures in Montreal presented an opportunity for the next generation of scientists to learn in one place about the various perspectives on knot homology, from the mathematical background to the most recent developments, and provided an access point to the relevant parts of theoretical physics as well.This volume presents a cross-section of topics covered at that summer school and will be a valuable resource for graduate students and researchers wishing to learn about this rapidly growing field.
Автор: Mathieu Anel, Gabriel Catren Название: New Spaces in Mathematics: Volume 1: Formal and Conceptual Reflections ISBN: 1108490638 ISBN-13(EAN): 9781108490634 Издательство: Cambridge Academ Рейтинг: Цена: 66530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explores various new notions of space in mathematics, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. It is suitable for mathematicians and mathematical physicists, as well as historians and philosophers of these disciplines.
Автор: Huai-Dong Cao, Shing-Tung Yau Название: Advances in Geometry and Mathematical Physics: Lectures given at the Geometry and Topology conference at Harvard University in 2014 ISBN: 1571463224 ISBN-13(EAN): 9781571463227 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: This volume consists of articles by speakers at the Conference on Geometry and Topology held at Harvard University in 2014. Included are: Camillo De Lellis, on the size of the singular set of area-minimizing currents; Simon Donaldson, on Kähler–Einstein metrics and algebraic structures on limit spaces; Mark Gross, on theta functions and mirror symmetry; Nigel Hitchin, on Higgs bundles and diffeomorphism groups; Fernando Marques, on topology of the space of cycles and existence of minimal varieties; William Meeks, on constant mean curvature surfaces; Richard Thomas, on the proof of the KKV conjecture; Claire Voisin, on stable birational invariants and the Luroth problem; and Mu-Tao Wang, on energy, momentum, and center of mass in general relativity.
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