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Ergodic Theory, Groups, and Geometry

Robert J. Zimmer University of Chicago, Chicago, IL
Dave Witte Morris University of Lethbridge, Lethbridge, AB, Canada
A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-0980-8
Product Code: CBMS/109
List Price: $34.00 Individual Price:$27.20
Electronic ISBN: 978-1-4704-1567-9
Product Code: CBMS/109.E
List Price: $32.00 MAA Member Price:$28.80
AMS Member Price: $25.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$51.00
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Ergodic Theory, Groups, and Geometry
Robert J. Zimmer University of Chicago, Chicago, IL
Dave Witte Morris University of Lethbridge, Lethbridge, AB, Canada
A co-publication of the AMS and CBMS
Available Formats:
 Softcover ISBN: 978-0-8218-0980-8 Product Code: CBMS/109
 List Price: $34.00 Individual Price:$27.20
 Electronic ISBN: 978-1-4704-1567-9 Product Code: CBMS/109.E
 List Price: $32.00 MAA Member Price:$28.80 AMS Member Price: $25.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$51.00
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 1092008; 87 pp
MSC: Primary 22; 37; 53; 57;

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.

A co-publication of the AMS and CBMS.

Graduate students and research mathematicians interested in ergodic theory.

• Chapters
• Lecture 1. Introduction
• Lecture 2. Actions in dimension 1 or 2
• Lecture 3. Geometric structures
• Lecture 4. Fundamental groups I
• Lecture 5. Gromov representation
• Lecture 6. Superrigidity and first applications
• Lecture 7. Fundamental groups II (Arithmetic theory)
• Lecture 8. Locally homogeneous spaces
• Lecture 9. Stationary measures and projective quotients
• Lecture 10. Orbit equivalence
• 11. Appendix. Background material

• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 1092008; 87 pp
MSC: Primary 22; 37; 53; 57;

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.

A co-publication of the AMS and CBMS.

Graduate students and research mathematicians interested in ergodic theory.

• Chapters
• Lecture 1. Introduction
• Lecture 2. Actions in dimension 1 or 2
• Lecture 3. Geometric structures
• Lecture 4. Fundamental groups I
• Lecture 5. Gromov representation
• Lecture 6. Superrigidity and first applications
• Lecture 7. Fundamental groups II (Arithmetic theory)
• Lecture 8. Locally homogeneous spaces
• Lecture 9. Stationary measures and projective quotients
• Lecture 10. Orbit equivalence
• 11. Appendix. Background material
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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