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Surveys in Geometry I

2022-02-18 Mathematics
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Release : 2022-02-18
Genre : Mathematics
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Surveys in Geometry I by : Athanase Papadopoulos

Download or read book Surveys in Geometry I written by Athanase Papadopoulos. This book was released on 2022-02-18. Available in PDF, EPUB and Kindle. Book excerpt: The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Surveys in Geometry and Number Theory

2007-01-18 Mathematics
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Release : 2007-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 826/5 ( reviews)

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Book Synopsis Surveys in Geometry and Number Theory by : Nicholas Young

Download or read book Surveys in Geometry and Number Theory written by Nicholas Young. This book was released on 2007-01-18. Available in PDF, EPUB and Kindle. Book excerpt: A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.

Noncommutative Geometry and Number Theory

2007-12-18 Mathematics
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Release : 2007-12-18
Genre : Mathematics
Kind : eBook
Book Rating : 529/5 ( reviews)

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Book Synopsis Noncommutative Geometry and Number Theory by : Caterina Consani

Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani. This book was released on 2007-12-18. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.

Geometric Methods in Algebra and Number Theory

2006-06-22 Mathematics
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Release : 2006-06-22
Genre : Mathematics
Kind : eBook
Book Rating : 172/5 ( reviews)

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Book Synopsis Geometric Methods in Algebra and Number Theory by : Fedor Bogomolov

Download or read book Geometric Methods in Algebra and Number Theory written by Fedor Bogomolov. This book was released on 2006-06-22. Available in PDF, EPUB and Kindle. Book excerpt: * Contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory * The collection gives a representative sample of problems and most recent results in algebraic and arithmetic geometry * Text can serve as an intense introduction for graduate students and those wishing to pursue research in algebraic and arithmetic geometry

Model Theory, Algebra, and Geometry

2000-07-03 Mathematics
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Release : 2000-07-03
Genre : Mathematics
Kind : eBook
Book Rating : 681/5 ( reviews)

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Book Synopsis Model Theory, Algebra, and Geometry by : Deirdre Haskell

Download or read book Model Theory, Algebra, and Geometry written by Deirdre Haskell. This book was released on 2000-07-03. Available in PDF, EPUB and Kindle. Book excerpt: Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.

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