Complex Hyperbolic Lattices

这个项目涉及到为复双曲等距线的格子建立基本域。这个话题(至少)可以追溯到1980年莫斯托的开创性工作，最近德劳、法贝尔、帕克和波伯特以及他们的学生和合著者取得了实质性的进展。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互动。在这个项目中，胡里奥·奎哈斯将把早期的结构推广到由三个不同阶复反射产生的格子上，他还将尝试对所有可能的这种形式的结构进行分类。

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.