Connection via reflections: A new approach to Coxeter groups. This project aims to use a new synthesis of approaches to investigate fundamental properties of reflection groups. These groups are centra

Description

Connection via reflections: A new approach to Coxeter groups. This project aims to use a new synthesis of approaches to investigate fundamental properties of reflection groups. These groups are central to mathematics and its applications. The project will combine algebra, combinatorics and geometry to study both the delicate structure of Kazhdan-Lusztig polynomials and the large-scale behaviour of boundaries at infinity, thus answering deep questions in the fields of representation theory and geometric group theory, respectively. The project's new combination of approaches and significant outcomes will forge innovative and productive connections between these two areas; the former is a classical field, well-established in Australia, while the latter is relatively new and internationally vibrant.. Scheme: ARC Future Fellowships. Field: 4904 - Pure Mathematics. Lead: A/Prof Anne Thomas