Description
In the 1980's, Gromov and Piatetski-Shapiro introduced a technique called "hybridization'' which allowed them to produce non-arithmetic hyperbolic lattices from two non-commensurable arithmetic lattices. It has been asked whether an analogous hybridization technique exists for complex hyperbolic lattices, because certain geometric obstructions make it unclear how to adapt this technique. This thesis explores one possible construction (originally due to Hunt) in depth and uses it to produce arithmetic lattices, non-arithmetic lattices, and thin subgroups in SU(2,1).
Details
Title
- Hybrid Subgroups of Complex Hyperbolic Lattices
Contributors
- Wells, Joseph (Author)
- Paupert, Julien (Thesis advisor)
- Kotschwar, Brett (Committee member)
- Childress, Nancy (Committee member)
- Fishel, Susanna (Committee member)
- Kawski, Matthias (Committee member)
- Arizona State University (Publisher)
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2019
Subjects
Resource Type
Collections this item is in
Note
- thesisPartial requirement for: Ph.D., Arizona State University, 2019
- bibliographyIncludes bibliographical references (pages 57-60)
- Field of study: Mathematics
Citation and reuse
Statement of Responsibility
by Joseph Wells