Embeddings between RAAGs (part 1)
Right-angled Artin groups, aka partially commutative groups, naturally define an interpolation between free groups and abelian free groups. The mini-course is dedicated to the question: given two right-angled Artin groups, how can we know whether one is isomorphic to a subgroup of the other? Even though this is a basic algebraic question, it remains widely open in full generality. Our goal will be to show how the combinatorial geometry of quasi-median graphs hilights some aspects of this problem.