2 edition of **Discrete groups and geometric structures** found in the catalog.

Discrete groups and geometric structures

International Workshop on Discrete Groups and Geometric Structures, with Applications III (5th 2008 K.U. Leuven Campus Kortrijk)

- 262 Want to read
- 1 Currently reading

Published
**2008**
by American Mathematical Society in Providence, R.I
.

Written in English

- Discrete groups -- Congresses,
- Geometrical constructions -- Congresses

**Edition Notes**

Includes bibliographical references.

Statement | Karel Dekimpe, Paul Igodt, Alain Valette, editors. |

Genre | Congresses |

Series | Contemporary mathematics -- v. 501 |

Contributions | Dekimpe, Karel, 1967-, Igodt, Paul, 1956-, Valette, Alain. |

Classifications | |
---|---|

LC Classifications | QA178 .I58 2008 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL23614453M |

ISBN 10 | 9780821846476 |

LC Control Number | 2009026844 |

Postscript and pdf files of my preprints 3-manifolds, geometric structures, Kleinian groups: "Hyperbolic manifolds and Discrete Groups. Lectures on Thurston's Hyperbolization". A book which appeared in Birkhauser's Progress in Mathematics in Exploration of discrete symmetry. structures and w a ys to cut and paste the geometric structures on 2-orbifolds. geometry and discrete groups, w e ﬁrst review Euclidean, Author: Suhyoung Choi.

The main theme of the book is to investigate the interrelations between foliations of a manifold on one hand, and the many geometric structures that the manifold may admit on the other hand. Among these structures we mention: affine, Riemannian, semiRiemannian, Finsler, symplectic, complex and . Applications are invited for a CNRS postdoctoral position in mathematics at IHES, beginning September , to be funded by the ERC Starting Grant “Discrete Groups and Geometric Structures. We are looking for a candidate with a strong research potential, interested in investigating discrete subgroups of Lie groups acting on various geometric.

The book presents zigzag and central circuit structures of geometric fullerenes and several other classes of graph of interest in the fields of chemistry and mathematics. It also discusses the symmetries, parameterization and the Goldberg–Coxeter construction for those graphs. Geometric Structures on 2-Orbifolds: Exploration of Discrete Symmetry. Geometry and discrete groups 25 - Abstract PDF. Chapter 4. Topology This book exposes the connection between the low-dimensional orbifold theory and geometry that was first discovered by Thurston in s providing a key tool in his proof of the hyperbolization.

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Get this from a library. Discrete groups and geometric structures: Workshop on Discrete Groups and Geometric Structures, with Applications III, May, Kortrijk, Belgium. [Karel Dekimpe; Paul Igodt; Alain Valette;] -- "This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May, in Kortrijk.

In mathematics, a discrete subgroup of a topological group G is a subgroup H such that there is an open cover of G in which every open subset contains exactly one element of H; in other words, the subspace topology of H in G is the discrete example, the integers, Z, form a discrete subgroup of the reals, R (with the standard metric topology), but the rational numbers, Q, do not.

Abstract: This volume reports on research related to Discrete Groups and Geometric Structures, as presented during the International Workshop held May 26–30,in Kortrijk, Belgium.

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 : $ Get this from a library.

Discrete groups and geometric structures: Workshop on Discrete Groups and Geometric Structures, with Applications III, May, Kortrijk, Belgium. Discrete groups and geometric structures book [Karel Dekimpe; Paul Igodt; Alain Valette;].

This classic book 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 Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the Cited by: This book presents a systematic account of conformal geometry of n-manifolds, as well as its Riemannian counterparts.

A unifying theme is their discrete holonomy groups. In particular, hyperbolic manifolds, in dimension 3 and higher, are addressed. This book deals with geometric and topological aspects of discrete groups. The main topics are hyperbolic groups due to Gromov, automatic group theory, invented and developed by Epstein, whose subjects are groups that can be manipulated by computers, and Kleinian group theory, which enjoys the Price: $ Home» MAA Publications» MAA Reviews» Discrete Groups and Geometric Structures Discrete Groups and Geometric Structures K, Dekimpe, P.

Igodt, and A. Valette, editors. Notes on Discrete Mathematics by James Aspnes. This is a course note on discrete mathematics as used in Computer Science. Topics covered includes: Mathematical logic, Set theory, The real numbers, Induction and recursion, Summation notation, Asymptotic notation, Number theory, Relations, Graphs, Counting, Linear algebra, Finite fields.

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when the groups in question are realized as geometric symmetries or continuous transformations of some spaces).

In this book, we will consider the intuitive or naive view point of sets. The notion of a set is taken as a primitive and so we will not try to de ne it explicitly. We only give an informal description of sets and then proceed to establish their properties. A \well-de ned collection" of distinct objects can be considered to be a set.

Thus, the File Size: 1MB. This classic book 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 Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the Brand: Birkhäuser Basel.

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles, spheres, polygons, and so subject focuses on the combinatorial properties of these.

taken COMP (Discrete Structures I), which covers mathematical rea-soning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability. During a week term with three hours of classes per week, I cover most of the material in this book, except for Chapter2, which has been includedFile Size: 1MB.

Discrete Groups in Geometry and Analysis Papers in Honor of G.D. Mostow on His Sixtieth Birthday. Authors: Howe. Free Preview. Buy this book eB40 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included format: PDF; ebooks can be used on all reading devices.

Geometric structures on 3manifolds. This is a reading guide to the field of geometric structures on 3–manifolds. The approach is to introduce the reader to the main definitions and concepts, to state the principal theorems and discuss their importance and inter-connections, and to refer the reader to the existing literature for proofs and details.

While the classical problems of discrete geometry have a strong connection to geometric analysis, coding theory, symmetry groups, and number theory, their connection to combinatorics and optimization has become of particular importance.

The last decades have seen a revival of interest in discrete geometric structures and their symmetry. This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations.

The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [].

The book Group Actions in Ergodic Theory, Geometry, and Topology: G. Spectrum, Entropy, and Geometric Structures for Smooth Actions of Kazhdan Groups, Israel Journal of Mathematics () D. Discrete Groups and Non-Riemannian Homogeneous Spaces.

Part 1. Foundations of Hyperbolic Structures Decomposition of the Figure-8 Knot Calculating in Hyperbolic Space Geometric Structures on Manifolds Hyperbolic Structures and Triangulations Discrete Groups and the Thick-Thin Decomposition Completion and Dehn Filling Part 2.

Tools, Techniques, and Families of Examples. This book exposes the connection between the low-dimensional orbifold theory and geometry that was first discovered by Thurston in s providing a key tool in his proof of the hyperbolization of Haken 3-manifolds.

Our main aims are to explain most of the topology of .GEOMETRIC STRUCTURES, SYMMETRY AND ELEMENTS OF LIE GROUPS 3 similarities: direct translations and spiral similarities; opposite glide re ections and dilative re ections.

One-parameter groups of spiral similarities and focus for linear ODE. A ne maps. Synthetic description (preservation of ratio of distances on a line) and linear Size: KB.