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Geometry, Rigidity, and Group Actions

Name: Geometry, Rigidity, and Group Actions
Brand: The University of Chicago Press
SKU: 04544574
Price: 101.61 EUR
Availability: InStock
Author: Benson Farb
ISBN: 9780226237886

Benson Farb

David Fisher

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 04544574

Nakladateľstvo The University of Chicago Press, máj 2011

The study of group actions is more than a hundred years old but remains to this day a vibrant and wi... Celý popis

Libristo kód: 04544574

246 b

101.61 €

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The 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, Gregory 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.