Complex Hyperbolic Lattices

这个项目涉及建立复杂双曲等距的格的基本域。这个话题可以追溯到（至少）1980年Mostow的开创性工作，最近Deraux， Falbel， Parker和Paupert以及他们的学生和合著者取得了实质性进展。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将早期的结构扩展到由三个不同顺序的复杂反射产生的网格，他也将尝试对这种形式的所有可能的结构进行分类。

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.