The Isomorphism Problem for Artin Groups

Explore the intricacies of the isomorphism problem for Artin groups in this 58-minute conference talk by Nicolas Vaskou, presented at the Workshop on Cube Complexes and Combinatorial Geometry. Delve into the fundamental question of determining which presentation graphs give rise to isomorphic Artin groups. Examine the conjecture that isomorphism can only occur if the presentation graphs are isomorphic or "twist-equivalent." Learn about the two-step approach to solving the isomorphism problem for a specific class of Artin groups. Discover the current state of research, including the fully solved case for RAAGs and other partial results. Gain insights into the background of this mathematical challenge and follow Vaskou's presentation of a solution for the isomorphism problem in "large-type" Artin groups, drawing connections to the isomorphism problem for Coxeter groups.