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OverviewGeometric 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. Full Product DetailsAuthor: Miaden Bestvina , Michah Sageev , Karen VogtmannPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 21 Weight: 0.880kg ISBN: 9781470412272ISBN 10: 1470412276 Pages: 405 Publication Date: 28 February 2015 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsCAT(0) cube complexes and groups by M. Sageev Geometric small cancellation by V. Guirardel Lectures on proper CAT(0) spaces and their isometry groups by P.-E. Caprace Lectures on quasi-isometric rigidity by M. Kapovich Geometry of outer space by M. Bestvina Some arithmetic groups that do not act on the circle by D. W. Morris Lectures on lattices and locally symmetric spaces by T. Gelander Lectures on marked length spectrum rigidity by A. Wilkinson Expander graphs, property t and approximate groups by E. Breuillard Cube complexes, subgroups of mapping class groups, and nilpotent genus by M. R. BridsonReviewsAuthor InformationMladen 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. Tab Content 6Author Website:Countries AvailableAll regions |
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