Residual properties of non-positively curved groups

我是几何群论的研究者。群对几何对象的作用告诉我们群的性质。在我的博士项目中，我试图将自由群和其他双曲群的性质转化为非正曲群的背景。具体来说，我想探索剩余性质，如剩余有限性和子群可分性。这些问题的例子是：-确定自由群的多个HNN扩展的剩余有限性条件-检查直角Artin群的预覆盖的典型有限完备化。特殊的立方体复形在这方面特别有用。

I am a researcher in geometric group theory. Actions of groups on geometric objects tell us about properties of the groups. In my PhD project, I attempt to translate properties of free groups and otherhyperbolic groups into the context of non-positively curved groups. Specifically, I would like to explore residual properties such as residual finiteness and subgroup separability.Examples of such problems are:- determine conditions of residual finiteness for a multiple HNN extension of a free group- examine typical finite completion of a pre-cover of a right-angled Artin group.Special cube complexes are particularly useful in this area.