Geometric and Cohomological Methods in Group Theory

An extended tour through a selection of the most important trends in modern geometric group theory.

Geometric group theory is a vibrant subject at the heart of modern mathematics. Major survey articles form the backbone of this book, providing an extended tour through a selection of the most important trends in modern geometric group theory, supported by shorter research articles on diverse topics.Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting.