Tits Buildings and the Model Theory of Groups: 291 (London Mathematical Society Lecture Note Series, Series Number 291)

This volume contains selected papers from the international conference Tits Buildings and the Model Theory of Groups, held in WÜrzburg in 2000. The first part provides a general introduction to many aspects of buildings and their geometries, based on short lecture courses given at the conference. The rest of the book comprises survey and research articles on model theoretic results and techniques. Amalgamation constructions a la Hrushovski are explained and classified, as they are important techniques both in model theory and geometry. The articles demonstrate the close connection between geometry, group theory, and model theory.

This book consists of two parts. The first part contains general introductions to Tits buildings, their geometries and the related classical linear groups. It is directed at researchers and graduate students with a n interest in one or more of the areas of geometry, group theory and model theory. The second part of the book surveys recent developments in model theory, explaining in particular amalgamation methods which have produced examples and counterexamples in group theory and geometry.