Model Theory with Applications to Algebra and Analysis

doi:10.1017/CBO9780511735226

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This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

Macpherson, Dugald and Toffalori, Carlo 2014. Model Theory in Algebra, Analysis and Arithmetic. Vol. 2111, Issue. , p. 1.

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Dreyfus, Thomas Hardouin, Charlotte and Roques, Julien 2021. Functional relations for solutions of q-difference equations. Mathematische Zeitschrift, Vol. 298, Issue. 3-4, p. 1751.

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Volume 1
Edited by Zoé Chatzidakis, Centre National de la Recherche Scientifique (CNRS), Paris, Dugald Macpherson, University of Leeds, Anand Pillay, University of Leeds, Alex Wilkie, University of Manchester

Publisher:: Cambridge University Press
Online publication date:: August 2010
Print publication year:: 2008
Online ISBN:: 9780511735226
DOI:: https://doi.org/10.1017/CBO9780511735226

Subjects:: Mathematics (general), Mathematics, Logic, Categories and Sets
Series:: London Mathematical Society Lecture Note Series (349)

50.99 (GBP)

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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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Model Theory with Applications to Algebra and Analysis

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Preface
pp ix-xii

Contributors
pp xiii-xvi

Model theory and stability theory, with applications in differential algebra and algebraic geometry
pp 1-24

Differential algebra and generalizations of Grothendieck's conjecture on the arithmetic of linear differential equations
pp 25-40

Schanuel's conjecture for non-isoconstant elliptic curves over function fields
pp 41-62

An afterthought on the generalized Mordell-Lang conjecture
pp 63-72

On the definitions of difference Galois groups
pp 73-110

Differentially valued fields are not differentially closed
pp 111-116

Complex analytic geometry in a nonstandard setting
pp 117-166

Model theory and Kähler geometry
pp 167-196

Some local definability theory for holomorphic functions
pp 197-214

Some observations about the real and imaginary parts of complex Pfaffian functions
pp 215-224

Fusion of structures of finite Morley rank
pp 225-248

Establishing the o-minimality for expansions of the real field
pp 249-282

On the tomography theorem by P. Schapira
pp 283-292

A class of quantum Zariski geometries
pp 293-326

Model theory guidance in number theory?
pp 327-334

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Model Theory with Applications to Algebra and Analysis

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