Embeddability between right-angled Artin groups

Sang-hyun Kim (KAIST)

Abstract: Each right-angled Artin group G canonically acts on a quasi-tree T, which we call as the extension graph of G. We survey combinatorial, algebraic and geometric aspects of this quasi-tree. In particular, we focus on the question of which pairs of right-angled Artin groups admit an embedding from one to the other (Joint work with Thomas Koberda).