Ergodic Theory, Groups, and Geometry

by Zimmer, Robert J.; Morris, Dave Witte

• ISBN13: 9780821809808
• ISBN10: 0821809806
• Format: Paperback
• Copyright: 2008-12-12
• Publisher: Amer Mathematical Society

Summary

"The study of group actions on manifolds is the meeting ground of a variety of mathematical areas. In particular, interesting geometric insights can be obtained by applying measure-theoretic techniques. This book provides an introduction to some of the important methods, major developments, and open problems in the subject. It is slightly expanded from lectures given by Zimmer at the CBMS conference at the University of Minnesota. The main text presents a perspective on the field as it was at that time. Comments at the end of each chapter provide selected suggestions for further reading, including references to recent developments."--BOOK JACKET.

Table of Contents

Introduction

Actions in dimension 1 or 2 Geometric structures Fundamental groups

Gromov representation

Superrigidity and first applications

Fundamental groups

(Arithmetic theory) Locally homogeneous spaces

Stationary measures and projective quotients

Orbit equivalence

Background material

Name Index

Index

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