| 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 |
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Book DetailsCBMS Regional Conference Series in MathematicsVolume: 109; 2008; 87 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in ergodic theory.
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Table of Contents
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Chapters
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Lecture 1. Introduction
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Lecture 2. Actions in dimension 1 or 2
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Lecture 3. Geometric structures
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Lecture 4. Fundamental groups I
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Lecture 5. Gromov representation
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Lecture 6. Superrigidity and first applications
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Lecture 7. Fundamental groups II (Arithmetic theory)
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Lecture 8. Locally homogeneous spaces
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Lecture 9. Stationary measures and projective quotients
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Lecture 10. Orbit equivalence
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11. Appendix. Background material
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Additional Material
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RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
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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
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11. Appendix. Background material
