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Model Theory with Applications to Algebra and Analysis

Volume 1

By: Alex Wilkie (Editor), Zoe , Paris) Chatzidakis (Editor), Dugald Macpherson (Editor), Anand Pillay (Editor)

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Paperback | 22 May 2008

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352 Pages

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22.9 x 15.2 x 1.8

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The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Mathematical Foundation Mathematical Logic Applied Mathematics Mathematical Modelling Geometry Algebraic Geometry Analytic Geometry

Preface
List of contributors
Model theory and stability theory, with applications in differential algebra and algebraic geometry
Differential algebra and generalizations of Grothendieck's conjecture on the arithmetic of linear differential equations
Schanuel's conjecture for non-isoconstant elliptic curves over function fields
An afterthought on the generalized Mordell-Lang conjecture
On the definitions of Difference Galois Groups ZoF
Differentially valued fields are not differentially closed
Complex analytic geometry in a nonstandard setting
Model theory and Kahler geometry
Some local definability theory for holomorphic functions
Some observations about the real and imaginary parts of complex Pfaffian functions
Fusion of structures of finite Morley rank
Establishing the o-minimality for expansions of the real field
On the tomography theorem
A class of quantum Zariski geometries
Model theory guidance in number theory?
Table of Contents provided by Publisher. All Rights Reserved.

Model Theory with Applications to Algebra and Analysis

Volume 1

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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