Associated Lie Algebras of Right-Angled Coxeter Groups and Homotopy Theory

Explore the intricate connections between associated Lie algebras of right-angled Coxeter groups and their applications in homotopy theory in this 29-minute conference talk. Delve into the mathematical structures that emerge when studying these special types of Coxeter groups, which are characterized by having only dihedral angles of 90 degrees or infinity. Examine how the associated Lie algebras provide powerful tools for understanding the algebraic and topological properties of these groups. Investigate the role these structures play in modern homotopy theory, including their contributions to understanding spaces and their continuous deformations. Learn about current research developments in this specialized area of algebraic topology, presented as part of the Fields Institute's Algebraic Topology Interactions program.