Kleinian viewpoints on higher rank worlds

TL;DR

This paper explores the extension of Kleinian group concepts to higher rank Lie groups, aiming to connect hyperbolic manifold theory with higher rank discrete subgroups.

Contribution

It introduces a perspective on applying Kleinian group ideas to the study of discrete subgroups in higher rank Lie groups.

Findings

Connections between Kleinian groups and higher rank Lie groups

Potential applications to hyperbolic manifold theory

Framework for future research in higher rank discrete subgroups

Abstract

This paper is designed to attract people who work on real hyperbolic manifolds to consider thinking about discrete subgroups of higher rank Lie groups. To that end, we breezily discuss some applications of the ideas from the theory of Kleinian groups in the higher rank setting.