Ramsey expansion conjecture for finite-signature homogeneous structures

Let $\Gamma$ be a homogeneous structure with a finite relational signature. An expansion of $\Gamma$ is a structure obtained by adding relations to its signature; its age is the class of finite structures embeddable into it. Ramsey expansion conjecture. Then $\Gamma$ has a homogeneous expansion by finitely many relations whose age has the Ramsey property. This conjecture asks whether the finite relational expansions that are known to occur typically can always be found; it is motivated by the connection between Ramsey classes, homogeneous structures, and structural Ramsey theory, and the source presents it as an open question.