2 dimensional categories, Johnson, Niles (associate Professor, Associate Professor, Ohio State University) Yau, Donald (professor, Professor, Ohio State University)

Автор: Fiorenzo Franceschini; Maurizio Galetto; Domenico
Название: Distributed Large-Scale Dimensional Metrology
ISBN: 1447158393 ISBN-13(EAN): 9781447158394
Издательство: Springer
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Цена: 130590.00 T
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Описание: The new idea of using WSNs for large-scale dimensional metrology has led to the design of distributed systems, subverting classic approaches and providing unique advantages such as portability and flexibility. This book explores the cutting edge in this field.

Название: Lectures on Tensor Categories and Modular Functors, Bojko Bakalov and Alexander Kirillov, Jr.
ISBN: 0821826867 ISBN-13(EAN): 9780821826867
Издательство: Mare Nostrum (Eurospan)
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Цена: 30090.00 T
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Описание: Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory).

Автор: Johnson, Niles (associate Professor, Associate Professor, Ohio State University) Yau, Donald (professor, Professor, Ohio State University)
Название: 2 dimensional categories
ISBN: 0198871376 ISBN-13(EAN): 9780198871378
Издательство: Oxford Academ
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Цена: 116160.00 T
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Описание: 2-Dimensional Categories is an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory.

Автор: Denis-Charles Cisinski; Fr?d?ric D?glise
Название: Triangulated Categories of Mixed Motives
ISBN: 3030332411 ISBN-13(EAN): 9783030332419
Издательство: Springer
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Цена: 111790.00 T
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Описание: The primary aim of this monograph is to achieve part of Beilinson`s program on mixed motives using Voevodsky`s theories of A1-homotopy and motivic complexes.

Автор: Ballard
Название: Superschool on Derived Categories and D-branes
ISBN: 3319916254 ISBN-13(EAN): 9783319916255
Издательство: Springer
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Цена: 167700.00 T
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Описание: Abelian and Triangulated Categories (C. Hanratty).- Derived Categories and Derived Functors (N.K. Chidambaram).- Introduction to Quivers (M. Chinen).- Semi-orthogonal Decompositions of Derived Categories (Y. Liu).- Introduction to Bridgeland Stability Conditions (R. Tramel).- A Brief Introduction to Geometric Invariant Theory (N. Grieve).- Birational Geometry and Derived Categories (C. Diemer).- Introduction to Mirror Symmetry (R. Hughes).- Batyrev Mirror Symmetry (M. Talpo).- Differential Graded Categories (A.A. Takeda).- Introduction to Symplectic Geometry and Fukaya Category (A.Z. Zhang).- Homological Mirror Symmetry (A. Harder).- The Syz Conjecture Via Homological Mirror Symmetry (D. Bejleri).- The Derived Category of Coherent Sheaves and B-model Topological String Theory (S. Pietromonaco).- Introduction to Topological String Theories (K. Osuga).- An Overview of B-branes in Gauged Linear Sigma Models (N. Ishtiaque).

Автор: Matthew Ballard; Charles Doran; David Favero; Eric
Название: Superschool on Derived Categories and D-branes
ISBN: 3030062708 ISBN-13(EAN): 9783030062705
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.

Автор: Simona Paoli
Название: Simplicial Methods for Higher Categories
ISBN: 3030056732 ISBN-13(EAN): 9783030056735
Издательство: Springer
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Цена: 130430.00 T
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Описание: This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic.While strict n-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of its cells; a geometry dubbed weak globularity. The new model, called weakly globular n-fold categories, is one of the simplest known algebraic structures yielding a model of weak n-categories. The central result is the equivalence of this model to one of the existing models, due to Tamsamani and further studied by Simpson. This theory has intended applications to homotopy theory, mathematical physics and to long-standing open questions in category theory.As the theory is described in elementary terms and the book is largely self-contained, it is accessible to beginning graduate students and to mathematicians from a wide range of disciplines well beyond higher category theory. The new model makes a transparent connection between higher category theory and homotopy theory, rendering it particularly suitable for category theorists and algebraic topologists. Although the results are complex, readers are guided with an intuitive explanation before each concept is introduced, and with diagrams showing the interconnections between the main ideas and results.

Автор: Heunen Chris
Название: Categories for Quantum Theory
ISBN: 0198739613 ISBN-13(EAN): 9780198739616
Издательство: Oxford Academ
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Цена: 54910.00 T
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Описание: Categories for Quantum Theory: An Introduction lays foundations for an approach to quantum theory that uses category theory, a branch of pure mathematics. Prior knowledge of quantum information theory or category theory helps, but is not assumed, and basic linear algebra and group theory suffices.

Автор: Maria Jos? Pacifico; Pablo Guarino
Название: New Trends in One-Dimensional Dynamics
ISBN: 3030168328 ISBN-13(EAN): 9783030168322
Издательство: Springer
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Цена: 46570.00 T
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Описание: This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students.Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

Автор: Yasumichi Hasegawa
Название: System Theory of Continuous Time Finite Dimensional Dynamical Systems
ISBN: 3030304795 ISBN-13(EAN): 9783030304799
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book discusses the realization and control problems of finite-dimensional dynamical systems which contain linear and nonlinear systems. The author focuses on algebraic methods for the discussion of control problems of linear and non-linear dynamical systems.

Автор: Lemons
Название: A Student`s Guide to Dimensional Analysis
ISBN: 131661381X ISBN-13(EAN): 9781316613818
Издательство: Cambridge Academ
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Цена: 24290.00 T
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Описание: This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.

Название: Advances in One-Dimensional Wave Mechanics
ISBN: 3642408907 ISBN-13(EAN): 9783642408908
Издательство: Springer
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Цена: 95770.00 T
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Описание: This book examines the motion of microscopic particles in one-dimensional, arbitrary-shaped potentials based on the analogy between Quantum Mechanics and Electromagnetism. Covers scattered sub-waves and new results using the Analytical Transfer Matrix method.