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Integrability, Quantization, and Geometry

Theories and Algebraic Geometry'', reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided;

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Symplectic, Poisson, and Noncommutative Geometry

mathematical quantization scheme based on a geometric approach to operator algebras. Deformation quantization, a blend of symplectic methods and;

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Northern California Symplectic Geometry Seminar

and topology, Poisson geometry, quantization theory, and applications. This volume includes papers by several of the distinguished seminar;

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Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation;

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Geometry and Integrability

Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially;

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Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes & Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry

of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity. The;

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Quantization, PDEs, and Geometry

in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub;

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Quantization PDEs and Geometry

in physics. Specifically, it discusses global aspects of elliptic PDEs, Berezin-Toeplitz quantization, the stability of solitary waves, and sub;

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Differential Geometry And Kinematics Of Continua

continuum mechanics and continuum physics, with a focus on finite deformation kinematics and classical differential geometry. Of particular interest;

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Quantum versus Classical Mechanics and Integrability Problems

idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author.The;

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Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces

equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on;

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Discrete Systems and Integrability

algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painleve equations; and the novel;

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Discrete Systems and Integrability

algorithms; singularities and geometry; Hirota's bilinear formalism for lattices; intriguing properties of discrete Painleve equations; and the novel;

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Geometry and Dynamics of Integrable Systems

is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic;

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Generalized Ricci Flow

, Hitchin's generalized geometry program, and complex geometry. This book gives an introduction to this new area, discusses recent developments, and;

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Differential Galois Theory and Non-Integrability of Hamiltonian Systems

Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability;

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The Symbolic Computation of Integrability Structures for Partial Differential Eq

This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability;

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Encyclopedia of Mathematics and its Applications

understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: 1. Canonical quantization of scalar;

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Encyclopedia of Mathematics and its Applications

understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: 1. Canonical quantization of scalar;

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New Spaces in Physics: Volume 2

quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry;

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Quantum Field Theory and Noncommutative Geometry

theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Elements of Classical and Quantum Integrable Systems

, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite;

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Symplectic Fibrations and Multiplicity Diagrams

theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical;

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Symplectic Fibrations and Multiplicity Diagrams

theorem, the interplay between coadjoint orbits and representation theory, and quantization. Students and researchers in geometry and mathematical;

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Symplectic Geometry and Fourier Analysis

This book derives from author Nolan R. Wallach's notes for a course on symplectic geometry and Fourier analysis, which he delivered at;

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Surveys in Geometry and Number Theory

specialists who are associated with strong research groups in Moscow and St. Petersburg in the fields of algebraic geometry and number theory. Their;

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