Lectures on complex hyperbolic Kleinian groups
Michael Kapovich
TL;DR
This paper provides an overview of complex hyperbolic Kleinian groups, exploring their properties and the interplay between complex hyperbolic geometry and discrete group theory.
Contribution
It offers a comprehensive lecture-based synthesis of complex hyperbolic Kleinian groups, highlighting recent developments and open problems in the field.
Findings
Connections between function theory and group actions on complex hyperbolic spaces
Classification results for certain classes of Kleinian groups
Open problems in the structure of complex hyperbolic Kleinian groups
Abstract
These are lectures on discrete groups of isometries of complex hyperbolic spaces, aimed to discuss interactions between the function theory on complex hyperbolic manifolds and the theory of discrete groups.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Mathematics and Applications