IAS/Park City Mathematics Series
Volume: 21; 2014; 399 pp; Hardcover
MSC: Primary 20;
Print ISBN: 978-1-4704-1227-2
Product Code: PCMS/21
List Price: $90.00
Individual Member Price: $72.00
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Geometric Group TheoryShare this page
Edited by Mladen Bestvina; Michah Sageev; Karen Vogtmann
A co-publication of the AMS and IAS/Park City Mathematics Institute
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.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Table of Contents
Table of Contents
Geometric Group Theory
Graduate students and research mathematicians interested in geometric group theory.