Right-Angled Artin Subgroups of Graph Braid Groups

Explore the intricacies of right-angled Artin subgroups within graph braid groups in this hour-long lecture. Delve into the work of Crisp and Paris, examining how squares of standard generators form obvious right-angled Artin subgroups in Artin groups. Discover recent research proposing that powers of a broader set of naturally distinguished elements also generate right-angled Artin groups, with proven cases presented. Investigate variants of this conjecture specifically applied to graph braid groups, and uncover their applications to topological complexity. Gain insights into cutting-edge developments in algebraic topology and group theory through this comprehensive presentation by Kevin Schreve.