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...

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 Kordnyi: 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

Jurgen 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