Complex Hyperbolic Lattices

复双曲格子

• 批准号: 2871942
• 金额: --
• 依托单位: Durham University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2024
• 资助国家: 英国
• 起止时间: 2024 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2871942
• 关键词: Complex; Hyperbolic; Lattices

This project involves building fundamental domains for lattices of complex hyperbolic isometries. This topic goes back (at least) to seminal work of Mostow in 1980 and more recently substantial progress has been made by Deraux, Falbel, Parker and Paupert as well as their students and co-authors. One theme that runs through all these projects is the interaction between theoretical constructions and computer experiment and verification. In this project, Julio Quijas will extend earlier constructions to lattices generated by three complex reflections of different orders, and he will also attempt to classify all possible constructions of this form.

这个项目涉及到建立复双曲等距格的基本域。这个话题可以追溯到（至少）开创性的工作Mostow在1980年和最近取得了实质性进展Deraux，Falbel，帕克和Paupert以及他们的学生和合著者。贯穿所有这些项目的一个主题是理论构建与计算机实验和验证之间的相互作用。在这个项目中，Julio Quijas将把早期的构造扩展到由三个不同阶的复杂反射生成的格，他还将尝试对这种形式的所有可能的构造进行分类。