Geometric Group Theory - Couverture rigide

Couverture rigide

ISBN 10 : 1470412276 ISBN 13 : 9781470412272

Editeur : American Mathematical Society, 2015

Synopsis

Geometric group theory refers to the study of discrete groups using tools from topology, geometry, dynamics and analysis. The field is evolving very rapidly and the present volume provides an introduction to and overview of various topics which have played critical roles in this evolution.

The book contains lecture notes from courses given at the Park City Math Institute on Geometric Group Theory. The institute consists of a set of intensive short courses offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The courses begin at an introductory level suitable for graduate students and lead up to currently active topics of research. The articles in this volume include introductions to CAT(0) cube complexes and groups, to modern small cancellation theory, to isometry groups of general CAT(0) spaces, and a discussion of nilpotent genus in the context of mapping class groups and CAT(0) groups. One course surveys quasi-isometric rigidity, others contain an exploration of the geometry of Outer space, of actions of arithmetic groups, lectures on lattices and locally symmetric spaces, on marked length spectra and on expander graphs, Property tau and approximate groups.

This book is a valuable resource for graduate students and researchers interested in geometric group theory.

A propos du livre

À propos de l'auteur

Mladen Bestvina, University of Utah, Salt Lake City, UT, USA.

Michah Sageev, Technion-Israel Institute of Technology, Haifa, Israel.

Karen Vogtmann, University of Warwick, Coventry, United Kingdom.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1470412276
• ISBN 13: 9781470412272
• Reliure: Relié
• Nombre de pages: 405
• Éditeur: Bestvina Miaden, Sageev Michah, Vogtmann Karen
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible