Model Theory with Applications to Algebra and Analysis: Volume 1

Download or read book Model Theory with Applications to Algebra and Analysis: Volume 1 written by Zoé Chatzidakis and published by Cambridge University Press. This book was released on 2008-05-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.