《离散群的几何分析与拓扑》讲离散群在现代数学中是非常基础的概念,广泛地应用于不同的学科。《离散群的几何分析与拓扑》包含15篇关于离散群的论文,涉及代数、分析、几何、数论及拓扑等众多主题。
Discrete subgroups of Lie groups are foundational objects in modern mathematics and occur naturally in different subjects. This volume is a collection of 15 papers on discrete groups, covering many topics related to the themes such as algebra, analysis, geometry, number theory and topology. Most papers are survey papers and the volume is intended for graduate students and researchers in related areas to understand better structures and applications of discrete subgroups of Lie groups and locally symmetric spaces.
- Front Matter
- Yves Benoist: A Survey on Divisible Convex Sets
- Roelof W. Bruggeman, Roberto J. Miatello: Distribution of Square Integrable Automorphic Forms on Hilbert Modular Groups
- Ulrich Bunke, Martin Olbrich: Scattering Theory for Geometrically Finite Groups
- Richard D. Canary: Marden’s Tameness Conjecture: History and Applications
- F. T. Farrell: Topological Rigidity and Geometric Applications
- Jun Hu : The Representation Theory of the Cyclotomic Hecke Algebras of Type G (r, p, n)
- Adam Kor′anyi: Harmonic Functions and Compactifications Symmetric Spaces
- Enrico Leuzinger: On Characterizations of Arithmetic Groups among Arbitrary Discrete Subgroups of Lie groups
- Fang Li, Daowei Wen: Ordinary Quiver, AR-quiver and Natural Quiver of an Algebra
- Pierre Pansu: Lp-cohomology of Symmetric Spaces
- J¨urgen Rohlfs: On the Cohomology of Locally Symmetric Adele Spaces as a Module over the Hecke Algebra
- Birgit Speh: Cohomology of Discrete Groups and Representation Theory
- Yucai Su: Some Results on Finite Dimensional Representations of general Linear Lie Superalgebras
- Ye Tian: Twisted Fermat Curves over Totally Real Fields II
- Steven Zucker: Bridging the Gap between Incompatible Compactifications of Locally Symmetric Varieties
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