In this talk we will introduce Leary and Minasyan's CAT(0) but not biautomatic groups as lattices in a product of a Euclidean space and a tree. We will then investigate properties of general lattices in that product space. We will also consider a construction of lattices in a Salvetti complex for a right-angled Artin group and a Euclidean space. Finally, if time permits we will also discuss a "hyperbolic Leary–Minasyan group" and some work in progress with Motiejus Valiunas towards an application.
- Topology Seminar