Loxodromic Elements in Right-Angled Artin Groups

Explore the mathematical concept of loxodromic elements in right-angled Artin groups in this 39-minute conference talk by Alice Kerr, presented at the Workshop on Cube Complexes and Combinatorial Geometry. Delve into the importance of rapidly generating loxodromic elements in actions on hyperbolic spaces, particularly in relation to exponential growth statements. Compare known results in examples like the mapping class group to similar outcomes achievable for right-angled Artin groups acting on their associated extension graph or contact graph. Gain insights into this specialized area of mathematical research, presented as part of the Atelier sur complexes cubiques et géométrie combinatoire at the Centre de recherches mathématiques (CRM).