Model Theory with Applications to Algebra and Analysis: Volume 1

London Mathematical Society Lecture Note #349

by Zoé Chatzidakis (Editor), Dugald Macpherson (Editor), Anand Pillay (Editor)

The first of a two-volume set showcasing the current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. This volume begins with 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 included showcase 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 two-volume set will undoubtedly appeal to all mathematicians with an interest in model theory and its applications.

352 pages, Paperback

First published January 1, 2008

About the author

Zoé Maria Chatzidakis was a French mathematician who worked as a director of research at the École Normale Supérieure in Paris, France.