Model Theory in Algebra, Analysis and Arithmetic: Cetraro, Italy 2012, Editors: H. Dugald Macpherson, Carlo Toffalori (Lecture Notes in Mathematics Book 2111)

Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields; 2) undecidability in arithmetic; 3) NIP theories; and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics. Front Matter....Pages i-vii Model Theory in Algebra, Analysis and Arithmetic: A Preface....Pages 1-11 Some Themes Around First Order Theories Without the Independence Property....Pages 13-33 Lectures on the Model Theory of Real and Complex Exponentiation....Pages 35-53 Lectures on the Model Theory of Valued Fields....Pages 55-157 Undecidability in Number Theory....Pages 159-195 Back Matter....Pages 197-198