Ergodic theory, groups, and geometry: NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2008
|
| Series: | CBMS regional conference series in mathematics
109 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | IX, 87 S. |
| ISBN: | 9780821809808 |
Staff View
MARC
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| 245 | 1 | 0 | |a Ergodic theory, groups, and geometry |b NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota |c Robert J. Zimmer ; Dave Witte Morris |
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| 490 | 1 | |a CBMS regional conference series in mathematics |v 109 | |
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Record in the Search Index
| _version_ | 1804138559090720768 |
|---|---|
| adam_text | Contents
Preface
vii
Acknowledgments
ix
Lecture
1.
Introduction
1
IA.
Discrete versions of
G
1
IB. Nonlinear actions
2
1С.
Open questions
5
Comments
5
References
6
Lecture
2.
Actions in Dimension
1
or
2 9
2A. Finite actions
9
2B. Actions on the circle
10
2C. Farb-Shalen method
11
2D. Actions on surfaces
12
Comments
13
References
14
Lecture
3.
Geometric Structures
17
ЗА.
Reductions of principal bundles
17
3B. Algebraic hull of a G-action on
M
18
3C. Actions preserving an //-structure
20
3D.
Groups that act on
Lorentz
manifolds
21
Comments
22
References
22
Lecture
4.
Fundamental Groups I
25
4A. Engaging conditions
25
4B. Consequences
27
4C. Examples: Actions with engaging conditions
29
Comments
30
References
30
Lecture
5.
Gromov Representation
33
5A. Gromov s Centralizer Theorem
33
5B. Higher-order frames and connections
35
5C. Ideas in the proof of Gromov s Centralizer Theorem
37
Comments
38
References
38
vi
CONTENTS
Lecture
6.
Superrigidity and First Applications
41
6A. Cocycle Superrigidity Theorem
41
6B. Application to connection-preserving actions
43
6C. From measurability to smoothness
44
Comments
45
References
45
Lecture
7.
Fundamental Groups II (Arithmetic Theory)
47
7A. The fundamental group is a lattice
47
7B. Arithmeticity of representations of the fundamental group
49
Comments
50
References
50
Lecture
8.
Locally Homogeneous Spaces
53
8A. Statement of the problem
53
8B. The use of cocycle superrigidity
55
8C. The approach of
Margulis
and Oh
56
Comments
58
References
58
Lecture
9.
Stationary Measures and
Projective
Quotients
61
9A. Stationary measures
61
9B.
Projective
quotients
63
9C.
Furstenberg
entropy
64
Comments
65
References
65
Lecture
10.
Orbit Equivalence
67
10A. Definition and basic facts
67
10B. Orbit-equivalence rigidity for higher-rank simple Lie groups
68
IOC. Orbit-equivalence rigidity for higher-rank lattice subgroups
68
10D. Orbit-equivalence rigidity for free groups
69
10E. Relationship to quasi-isometries
70
Comments
71
References
72
Appendix: Background Material
75
Al. Lie
groups
75
A2. Ergodic Theory
76
A3.
Moore
Ergodicità
Theorem
76
A4.
Algebraic Groups
77
A5. Cocycle Superrigidity Theorem
78
A6.
Borei
Density Theorem
79
A7. Three theorems of G. A.
Margulis
on lattice subgroups
79
A8. Fixed-point theorems
80
A9. Amenable groups
80
References
81
Name Index
83
Index
85
|
| any_adam_object | 1 |
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| dewey-full | 515/.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.48 |
| dewey-search | 515/.48 |
| dewey-sort | 3515 248 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T21:30:07Z |
| institution | BVB |
| isbn | 9780821809808 |
| language | English |
| lccn | 2008037157 |
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| physical | IX, 87 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | American Mathematical Society |
| record_format | marc |
| series | CBMS regional conference series in mathematics |
| series2 | CBMS regional conference series in mathematics |
| spelling | Zimmer, Robert J. Verfasser aut Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota Robert J. Zimmer ; Dave Witte Morris Providence, RI American Mathematical Society 2008 IX, 87 S. txt rdacontent n rdamedia nc rdacarrier CBMS regional conference series in mathematics 109 Includes bibliographical references and index Ergodic theory Congresses Group theory Congresses Manifolds (Mathematics) Congresses Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Ergodentheorie (DE-588)4015246-7 s Gruppentheorie (DE-588)4072157-7 s Mannigfaltigkeit (DE-588)4037379-4 s DE-604 Morris, Dave Witte Sonstige oth CBMS regional conference series in mathematics 109 (DE-604)BV000004346 109 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017076772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zimmer, Robert J. Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota CBMS regional conference series in mathematics Ergodic theory Congresses Group theory Congresses Manifolds (Mathematics) Congresses Mannigfaltigkeit (DE-588)4037379-4 gnd Gruppentheorie (DE-588)4072157-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4072157-7 (DE-588)4015246-7 (DE-588)1071861417 |
| title | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota |
| title_auth | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota |
| title_exact_search | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota |
| title_full | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota Robert J. Zimmer ; Dave Witte Morris |
| title_fullStr | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota Robert J. Zimmer ; Dave Witte Morris |
| title_full_unstemmed | Ergodic theory, groups, and geometry NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota Robert J. Zimmer ; Dave Witte Morris |
| title_short | Ergodic theory, groups, and geometry |
| title_sort | ergodic theory groups and geometry nsf cbms regional research conferences in the mathematical sciences june 22 26 1998 university of minnesota |
| title_sub | NSF-CBMS Regional Research Conferences in the Mathematical Sciences, June 22-26, 1998 University of Minnesota |
| topic | Ergodic theory Congresses Group theory Congresses Manifolds (Mathematics) Congresses Mannigfaltigkeit (DE-588)4037379-4 gnd Gruppentheorie (DE-588)4072157-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Ergodic theory Congresses Group theory Congresses Manifolds (Mathematics) Congresses Mannigfaltigkeit Gruppentheorie Ergodentheorie Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017076772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004346 |
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