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OverviewThe study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields.A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups.This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries.Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest. Full Product DetailsAuthor: Robert J Zimmer , Benson Farb , David FisherPublisher: University of Chicago Press Imprint: University of Chicago Press ISBN: 9781283078320ISBN 10: 1283078325 Pages: 659 Publication Date: 01 January 2011 Audience: General/trade , General Format: Undefined Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |