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Space-Time-Matter: Analytic and Geometric Structures, Matthias Staudacher, Jochen Br?ning


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Автор: Matthias Staudacher, Jochen Br?ning
Название:  Space-Time-Matter: Analytic and Geometric Structures
ISBN: 9783110451351
Издательство: Walter de Gruyter
Классификация:


ISBN-10: 3110451352
Обложка/Формат: Hardcover
Страницы: 516
Вес: 1.11 кг.
Дата издания: 2017-10-15
Серия: Hard Science
Язык: English
Размер: 244 x 178 x 31
Читательская аудитория: Professional and scholarly
Основная тема: MATHEMATICS / Geometry / General
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 Space - Time - Matter, in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail.

Contents
Introduction
Algebraic K-theory, assembly maps, controlled algebra, and trace methods
Lorentzian manifolds with special holonomy - Constructions and global properties
Contributions to the spectral geometry of locally homogeneous spaces
On conformally covariant differential operators and spectral theory of the holographic Laplacian
Moduli and deformations
Vector bundles in algebraic geometry and mathematical physics
Dyson-Schwinger equations: Fix-point equations for quantum fields
Hidden structure in the form factors ofN = 4 SYM
On regulating the AdS superstring
Constraints on CFT observables from the bootstrap program
Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities
Yangian symmetry in maximally supersymmetric Yang-Mills theory
Wave and Dirac equations on manifolds
Geometric analysis on singular spaces
Singularities and long-time behavior in nonlinear evolution equations and general relativity




Hypo-Analytic Structures: Local Theory (PMS-40)

Автор: Treves Francois
Название: Hypo-Analytic Structures: Local Theory (PMS-40)
ISBN: 0691606706 ISBN-13(EAN): 9780691606705
Издательство: Wiley
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Цена: 13939.00 р.
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Описание: In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometri

Riemannian Topology and Geometric Structures on Manifolds

Автор: Krzysztof Galicki; Santiago R. Simanca
Название: Riemannian Topology and Geometric Structures on Manifolds
ISBN: 0817647422 ISBN-13(EAN): 9780817647421
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory.

Spontaneous Formation of Space-Time Structures and Criticality

Автор: T. Riste; David Sherrington
Название: Spontaneous Formation of Space-Time Structures and Criticality
ISBN: 9401055513 ISBN-13(EAN): 9789401055512
Издательство: Springer
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Цена: 45979.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute, Geilo, Norway, April 2-12, 1991

Applications of Analytic and Geometric Methods to Nonlinear Differential Equations

Автор: P.A. Clarkson
Название: Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
ISBN: 9401049246 ISBN-13(EAN): 9789401049245
Издательство: Springer
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Цена: 54504.00 р.
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Описание: In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied.
Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods.
The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlev analysis of partial differential equations, studies of the Painlev equations and symmetry reductions of nonlinear partial differential equations.


(ABSTRACT)
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlev analysis of partial differential equations, studies of the Painlev equations and symmetry reductions of nonlinear partial differential equations.

Large Space Structures: Dynamics and Control

Автор: S.N. Atluri; A.K. Amos
Название: Large Space Structures: Dynamics and Control
ISBN: 3642833780 ISBN-13(EAN): 9783642833786
Издательство: Springer
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Цена: 18284.00 р.
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Описание: Both the NATO and Warsaw pact alliances are pursuing permanent space stations in orbit: large structural systems whose development calls for in-situ fabrication and/or assembly and whose operation will demand innovations in controls technology.

Foliations and Geometric Structures

Автор: Aurel Bejancu; Hani Reda Farran
Название: Foliations and Geometric Structures
ISBN: 9048169410 ISBN-13(EAN): 9789048169412
Издательство: Springer
Цена: 13974.00 р.
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Energy Landscapes, Inherent Structures, and Condensed-Matter Phenomena

Автор: Stillinger F. H., Stillinger Frank H.
Название: Energy Landscapes, Inherent Structures, and Condensed-Matter Phenomena
ISBN: 0691166803 ISBN-13(EAN): 9780691166803
Издательство: Wiley
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Цена: 15048.00 р.
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Описание: This book presents an authoritative and in-depth treatment of potential energy landscape theory, a powerful analytical approach to describing the atomic and molecular interactions in condensed-matter phenomena. Drawing on the latest developments in the computational modeling of many-body systems, Frank Stillinger applies this approach to a diverse


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