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Group Actions in Ergodic Theory, Geometry, and Topology : Selected Papers /
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize h...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , , , , , , , , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chicago :
University of Chicago Press,
[2020]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Zimmer, Robert J., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Group Actions in Ergodic Theory, Geometry, and Topology : |b Selected Papers / |c Robert J. Zimmer; ed. by David Fisher. |
| 264 | 1 | |a Chicago : |b University of Chicago Press, |c [2020] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (608 p.) | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Foreword -- |t INTRODUCTION -- |t 1. Spectra and Structure of Ergodic Actions -- |t A. Extensions of Ergodic Group Actions -- |t B. Ergodic Actions with Generalized Discrete Spectrum -- |t C. Orbit Spaces of Unitary Representations, Ergodic Theory, and Simple Lie Groups -- |t 2 Amenable Actions, Equivalence Relations, and Foliations -- |t A. Amenable Ergodic Group Actions and an Application to Poisson Boundaries of Random Walks -- |t B. Induced and Amenable Ergodic Actions of Lie Groups -- |t C. Hyperfinite Factors and Amenable Ergodic Actions, Inventiones mathematicae (1977) -- |t D. Curvature of Leaves in Amenable Foliations, American journal of Mathematics (1983) -- |t E. Amenable Actions and Dense Subgroups of Lie Groups Journal of Functional Analysis (1987) -- |t 3 Orbit Equivalence and Strong Rigidity -- |t A. Strong Rigidity for Ergodic Actions of Semisimple Lie Groups, Annals of Mathematics (1980) -- |t B. Orbit Equivalence and Rigidity of Ergodic Actions of Lie Groups -- |t C. Ergodic Actions of Semisimple Groups and Product Relations -- |t 4 Cocycle Superrigidity and the Program to Describe Lie Group and Lattice Actions on Manifolds -- |t A. Volume Preserving Actions of Lattices in Semisimple Groups on Compact Manifolds, Institut des Hautes Etudes Scientifiques Publications Mathematiques (1984) -- |t B. Kazhdan Groups Acting on Compact Manifolds, Inventiones mathematicae (1984) -- |t C. Actions of Lattices in Semisimple Groups Preserving a G-Structure of Finite Type, Ergodic Theory and Dynamical Systems (1985) -- |t D. Actions of Semisimple Groups and Discrete Subgroups, Proceedings of the International Congress of Mathematicians, August 3-11, 1986 (1987) -- |t E. Split Rank and Semisimple Automorphism Groups of G-Structures, journal of Differential Geometry (1987) -- |t F. Manifolds with Infinitely Many Actions of an Arithmetic Group -- |t G. Spectrum, Entropy, and Geometric Structures for Smooth Actions of Kazhdan Groups -- |t H. Cocycle Superrigidity and Rigidity for Lattice Actions on Tori (with Anatole Katok and James Lewis) -- |t I. Volume-Preserving Actions of Simple Algebraic Q-Groups on Low-Dimensional Manifolds (with Dave Witte Morris) -- |t 5 Stabilizers of Semisimple Lie Group Actions: Invariant Random Subgroups -- |t A. Stabilizers for Ergodic Actions of Higher Rank Semisimple Groups (with Garrett Stuck) -- |t 6 Representations and Arithmetic Properties of Actions, Fundamental Groups, and Foliations -- |t A. Arithmeticity ofHolonomy Groups of Lie Foliations -- |t B. Representations of Fundamental Groups of Manifolds with a Semisimple Transformation Group -- |t C. Superrigidity, Ratner's Theorem, and Fundamental Groups -- |t D. Fundamental Groups of Negatively Curved Manifolds and Actions of Semi simple Groups -- |t A canonical arithmetic quotient for simple Lie group actions -- |t F. A Canonical Arithmetic Quotient for Simple Lie Group Actions -- |t G. Entropy and Arithmetic Quotients for Simple Automorphism Groups of Geometric Manifolds -- |t H. Geometric Lattice Actions, Entropy and Fundamental Groups -- |t 7 Geometric Structures: Automorphisms of Geometric Manifolds and Rigid Structures; Locally Homogeneous Manifolds -- |t A. On the Automorphism Group of a Compact Lorentz Manifold and Other Geometric Manifolds -- |t B. Semisimple Automorphism Groups of G-Structures -- |t C. Automorphism Groups and Fundamental Groups of Geometric Manifolds -- |t D. Discrete Groups and Non-Riemannian Homogeneous Spaces -- |t E. On Manifolds Locally Modelled on Non-Riemannian Homogeneous Spaces -- |t F. On the Non-existence of Cocompact Lattices for SL(n)!SL(m) -- |t 8 Stationary Measures and Structure Theorems for Lie Group Actions -- |t A. A Structure Theorem for Actions of Semisimple Lie Groups -- |t B. Entropy of Stationary Measures and Bounded Tangential de-Rham Cohomology of Semisimple Lie Group Actions -- |t C. Invariant Rigid Geometric Structures and Smooth Projective Factors -- |t GROUPS ACTING ON MANIFOLDS: Around the Zimmer Program -- |t AFTERWORD: Recent Progress in the Zimmer Program -- |t Acknowledgments |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer's body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer's ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022) | |
| 650 | 0 | |a Ergodic theory. | |
| 650 | 0 | |a Group actions (Mathematics) | |
| 650 | 0 | |a Group actions (Mathematics). | |
| 650 | 0 | |a Group actions. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
| 653 | |a math, mathematics, science, topology, arithmetic groups, dynamical systems, differential geometry, lie theory, ergodic group, cocycle superrigidity theorem, generalized discrete spectrum, orbit spaces, foliations, amenable actions, equivalence relations, hyperfinite factors, curvature, rigidity, lattices, negatively curved manifolds, ratners, nonfiction. | ||
| 700 | 1 | |a Fisher, David, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Fisher, David, |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Fisher, David. | |
| 700 | 1 | |a Katok, A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Labourie, F., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Labourie, Franqois, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Lashof, Richard K., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Lewis, J., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Lubotzky, Alexander, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Lubotzky, Alexander. | |
| 700 | 1 | |a Margulis, Gregory, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Margulis, Gregory. | |
| 700 | 1 | |a Mozes, S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Nevo, Amos, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Spatzier, Ralf J., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Stuck, Garrett, |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 700 | 1 | |a Zimmer, Robert J., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t University of Chicago Press Complete eBook-Package 2019 |z 9783110711943 |
| 856 | 4 | 0 | |u https://degruyter.uam.elogim.com/isbn/9780226568270 |z Texto completo |
| 912 | |a 978-3-11-071194-3 University of Chicago Press Complete eBook-Package 2019 |b 2019 | ||
| 912 | |a GBV-deGruyter-alles | ||