Geometry, Analysis and Topology of Discrete Groups

Edited by
Lizhen Ji (University of Michigan)
Kefeng Liu (University of California at Los Angeles)
Lo Yang (Chinese Academy of Sciences, Beijing)
Shing-Tung Yau (Harvard University)

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.

Publication Details

Hardcover. 468 pages.
ISBN-13: 978-1-57146-126-1
ISBN-10: 1-57146-126-4
2000 MSC: 00-02
Published: August 2008
Publisher: International Press of Boston
List price: $89.00

Full Description

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 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.

A Survey on Divisible Convex Sets
(Yves Benoist)
Distribution of Square Integrable Automorphic Forms on Hilbert Modular Groups
(Roelof W. Bruggeman, Roberto J. Miatello)
Scattering Theory for Geometrically Finite Groups
(Ulrich Bunke, Martin Olbrich)
Marden’s Tameness Conjecture: History and Applications
(Richard D. Canary)
Topological Rigidity and Geometric Applications
(F. T. Farrell)
The Representation Theory of the Cyclotomic Hecke Algebras of Type G (r, p, n)
(Jun Hu )
Harmonic Functions and Compactifications Symmetric Spaces
(Adam Korányi)
On Characterizations of Arithmetic Groups among Arbitrary Discrete Subgroups of Lie groups
(Enrico Leuzinger)
Ordinary Quiver, AR-quiver and Natural Quiver of an Algebra
(Fang Li, Daowei Wen)
L<supp-cohomology of Symmetric Spaces
(Pierre Pansu)
On the Cohomology of Locally Symmetric Adele Spaces as a Module over the Hecke Algebra
(Jürgen Rohlfs)
Cohomology of Discrete Groups and Representation Theory
(Birgit Speh)
Some Results on Finite Dimensional Representations of General Linear Lie Superalgebras
(Yucai Su)
Twisted Fermat Curves over Totally Real Fields II
(Ye Tian)
Bridging the Gap between Incompatible Compactifications of Locally Symmetric Varieties
(Steven Zucker)

About the Series

Published jointly by International Press and by Higher Education Press of China, the Advanced Lectures in Mathematics (ALM) series brings the latest mathematical developments worldwide to both researchers and students. Each volume consists of either an expository monograph or a collection of significant introductions to important topics. The ALM series emphasizes discussion of the history and significance of each topic discussed, with an overview of the current status of research, and presentation of the newest cutting-edge results.

Other volumes in the Advanced Lectures in Mathematics series

Vol. 7. Handbook of Geometric Analysis, No. 1

Vol. 5. Fourth International Congress of Chinese Mathematicians (2007)

Vol. 4. Variational Principles for Discrete Surfaces

Vol. 3. Computational Conformal Geometry

Vol. 2. Asymptotic Theory in Probability and Statistics with Applications

Vol. 1. Superstring Theory

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