Discrete Groups in Complex Hyperbolic Geometry

Project: Research project

Project Details

Description

Overview: The proposed research is a continued investigation of discrete groups of complex hyperbolic isometries, building upon the PI and his collaborators' recent success in constructing previously unknown nonarithmetic lattices in PU(2; 1). More specically, we propose to study lattices generated by reflections in PU(n; 1) for n > 2, geometric aspects of arithmetic lattices, and deformations of hyperbolic 3-manifold groups into PU(3; 1)
StatusActive
Effective start/end date8/15/177/31/20

Funding

  • National Science Foundation (NSF): $177,582.00

Fingerprint Explore the research topics touched on by this project. These labels are generated based on the underlying awards/grants. Together they form a unique fingerprint.