  Given a graph $\Gamma$, the right-angled Artin group $A(\Gamma)$ is given by
the presentation $\langle u \in V(\Gamma) \mid [u,v]=1, \ \{u,v\} \in E(\Gamma)
\rangle$. The Embedding Problem in right-angled Artin groups asks, given two
finite graphs $\Phi,\Psi$, how to determine whether or not $A(\Phi)$ is
isomorphic to a subgroup of $A(\Psi)$. These are the notes of a mini-course
given at the CIRM in April 2022, dedicated to a geometric point of view on this
embedding problem, based on quasi-median graphs.
