“…Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory.…”
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“…This book is dedicated to fundamentals of a new theory, which is an analog of affine algebraic geometry for (nonlinear) partial differential equations. …”
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“…With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and graduate students in mathematics. …”
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“…Covers a variety of topics including modal logic, arithmetic algebraic geometry, orthogonal polynomials, stochastic matrices, and computing theory…”
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“…Topics include algebraic geometry, partial differential equations, Fourier analysis, functional analysis, operator theory, differential geometry, and global analysis…”
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“…This work applies symplectic methods and discusses quantization problems to emphasize the advantage of an algebraic geometry approach to nonlinear differential equations. …”
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“…One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. …”
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“…Provides information on singularity theory and algebraic geometry; the theory of systems of linear differential equations; the theory of homomorphic foliations; and the connection of monodromy theory with Galois theory of differential equations and algebraic functions. …”
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“…This work features the techniques from algebraic geometry, number theory, and profinite groups. …”
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“…The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.…”
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“…The theory may be useful to specialists in representation theory, algebraic geometry or topology.…”
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“…This volume covers a very wide range of topics, including core areas in commutative algebra and also relations to algebraic geometry, algebraic combinatorics, hyperplane arrangements, homological algebra, and string theory.…”
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“…It is one of the foundations of algebraic geometry and has many applications to differential geometry. …”
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“…Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. This book discusses the necessary algebro-geometric results, and offers an exposition of the geometry of elliptic curves, and the formal group of an elliptic curve.…”
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“…The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra. …”
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“…This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.…”
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“…The approach is based on the analysis of the algebraic geometry associated with the Feynman integrals and the use of the creative telescoping algorithm.…”
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“…This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.…”
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“…We also identify mirror pairs of orientifolds, extending the correspondence between symplectic geometry and algebraic geometry by including unorientable worldsheets. …”
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“…Invited articles by top notch expertsFocus is on topics in representation theory of algebraic groups and quantum groupsOf interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory and math physics…”
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