Martin Olbrich

Group cohomology and the singularities of the Selberg zeta function associated to a Kleinian group

We prove Pattersons conjecture about the singularities of the Selberg zeta function associated to a convex-cocompact, torsion free group acting on a hyperbolic space.

Cohomological Properties of the Canonical Globalizations of Harish–Chandra Modules

In this note we draw consequences of theorems of Kashiwara–Schmid, Casselman, and Schneider–Stuhler. Canonical globalizations of Harish–Chandra modules can be considered as coefficient modules for cohomology groups with respect to cocompact discrete subgroups or nilpotent Lie algebras. We obtain finiteness and comparison theorems for these cohomology groups.

Towards the Trace Formula for Convex-Cocompact Groups

We develop a general representation theoretic framework for trace formulas for quotients of rank one simple Lie groups by convex-cocompact discrete subgroups. We further discuss regularized traces of resolvents with applications to Selberg-type zeta functions.

The classification problem for pseudo-Riemannian symmetric spaces

The Einstein universe is the conformal compactification of Minkowski space. It also arises as the ideal boundary of anti-de Sitter space. The purpose of this article is to develop the synthetic geometry of the Einstein universe in terms of its homogeneous submanifolds and causal structure, with particular emphasis on dimension 2+1, in which there is a rich interplay with symplectic geometry.This is a survey about conformal mappings between pseudo-Riemannian manifolds and, in particular, conformal vector fields defined on such. Mathematics Subject Classification (2000). Primary 53C50; Secondary 53A30; 83C20.We study the geometry of type II supergravity compactifications in terms of an oriented vector bundle

Nonexistence of invariant distributions supported on the limit set

E

Metric Lie algebras with maximal isotropic centre

, endowed with a bundle metric of split signature and further datum. The geometric structure is associated with a so-called generalised

On the structure of pseudo-Riemannian symmetric spaces

G

The Spectrum of Kleinian Manifolds

-structure and characterised by an

Gamma-cohomology and the Selberg zeta function.

E

Metric Lie algebras and quadratic extensions

-spinor