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Discrete Groups And Geometric Structures [PDF Download]

Discrete Groups and Geometric Structures PDF
Author: Karel Dekimpe
Publisher: American Mathematical Soc.
Release Date: 2009-11-12
ISBN: 0821846477
Size: 74.64 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 146
View: 1058

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This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May 26-30, 2008, in Kortrijk, Belgium. Readers will benefit from impressive survey papers by John R. Parker on methods to construct and study lattices in complex hyperbolic space and by Ursula Hamenstadt on properties of group actions with a rank-one element on proper $\mathrm{CAT}(0)$-spaces. This volume also contains research papers in the area of group actions and geometric structures, including work on loops on a twice punctured torus, the simplicial volume of products and fiber bundles, the homology of Hantzsche-Wendt groups, rigidity of real Bott towers, circles in groups of smooth circle homeomorphisms, and groups generated by spine reflections admitting crooked fundamental domains.

Discrete Groups And Geometry [PDF Download]

Discrete Groups and Geometry PDF
Author: Conference on discrete groups and geometry
Publisher: Cambridge University Press
Release Date: 1992-07-30
ISBN: 9780521429320
Size: 51.89 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 248
View: 2716

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Proceedings of the conference held at the University of Birmingham in honour of Professor A. M. Macbeath. Many interesting papers are included from respected figures, on discrete group theory.

Conformal Geometry Of Discrete Groups And Manifolds [PDF Download]

Conformal Geometry of Discrete Groups and Manifolds PDF
Author: Boris N. Apanasov
Publisher: Walter de Gruyter
Release Date: 2000-01-01
ISBN: 3110808056
Size: 27.33 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 531
View: 5881

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The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Group Actions In Ergodic Theory Geometry And Topology [PDF Download]

Group Actions in Ergodic Theory  Geometry  and Topology PDF
Author: Robert J. Zimmer
Publisher: University of Chicago Press
Release Date: 2019-12-23
ISBN: 022656827X
Size: 17.66 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 608
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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.

Discrete Groups In Space And Uniformization Problems [PDF Download]

Discrete Groups in Space and Uniformization Problems PDF
Author: B. Apanasov
Publisher: Springer Science & Business Media
Release Date: 1991-06-30
ISBN: 9780792302162
Size: 47.34 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 482
View: 3796

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A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also

Geometry Analysis And Topology Of Discrete Groups [PDF Download]

Geometry  Analysis and Topology of Discrete Groups PDF
Author: Lizhen Ji
Publisher: International Pressof Boston Incorporated
Release Date: 2008
ISBN:
Size: 43.25 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 468
View: 575

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This new volume presents 15 papers treating discrete groups as they occur in areas such as algebra, analysis, geometry, number theory and topology. Most of the papers are surveys, and the volume is intended to help graduate students and researchers better understand the structures and applications of discrete subgroups of Lie groups and locally symmetric spaces. Discrete subgroups of Lie groups are foundational objects in modern mathematics and occur naturally in different subjects. This new volume presents 15 papers treating discrete groups as they occur in areas such as algebra, analysis, geometry, number theory, and topology. Most of the papers are surveys, and this volume is intended to help graduate students and researchers better understand the structures and applications of discrete subgroups of Lie groups and locally symmetric spaces.

Complex Hyperbolic Geometry [PDF Download]

Complex Hyperbolic Geometry PDF
Author: William Mark Goldman
Publisher: Oxford University Press
Release Date: 1999-01-01
ISBN: 9780198537939
Size: 60.25 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 316
View: 2619

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Complex hyperbolic geometry is a particularly rich area of study, enhanced by the confluence of several areas of research including Riemannian geometry, complex analysis, symplectic and contact geometry, Lie group theory, and harmonic analysis. The boundary of complex hyperbolic geometry, known as spherical CR or Heisenberg geometry, is equally rich, and although there exist accounts of analysis in such spaces there is currently no account of their geometry. This book redresses the balance and provides an overview of the geometry of both the complex hyperbolic space and its boundary. Motivated by applications of the theory to geometric structures, moduli spaces and discrete groups, it is designed to provide an introduction to this fascinating and important area and invite further research and development.

Hyperbolic Manifolds And Discrete Groups [PDF Download]

Hyperbolic Manifolds and Discrete Groups PDF
Author: Michael Kapovich
Publisher: Springer Science & Business Media
Release Date: 2009-08-04
ISBN: 9780817649135
Size: 80.53 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 470
View: 234

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Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on the "Big Monster," i.e., on Thurston’s hyperbolization theorem, which has not only completely changes the landscape of 3-dimensinal topology and Kleinian group theory but is one of the central results of 3-dimensional topology. The book is fairly self-contained, replete with beautiful illustrations, a rich set of examples of key concepts, numerous exercises, and an extensive bibliography and index. It should serve as an ideal graduate course/seminar text or as a comprehensive reference.