The wrapped Fukaya interpretation of the universal deformation for hypertoric varieties

Let $\mathcal{V}$ be a polarized real arrangement, let $\mathcal{X}_{\mathcal{V}}$ be its complexified hyperplane complement, and let $\widetilde{B}(\mathcal{V})$ be the universal deformation of the associated finite-dimensional algebra. A canonical generating Lagrangian is taken in a wrapped Fukaya category of $\mathcal{X}_{\mathcal{V}}$, with full wrapping around the arrangement's hyperplanes and appropriate partial wrapping at infinity. Wrapped Fukaya conjecture. The algebra $\widetilde{B}(\mathcal{V})$ is quasi-isomorphic to the endomorphism algebra of this canonical generating Lagrangian. This proposes a Fukaya-categorical interpretation of the universal deformation and connects hypertoric algebraic structures with wrapped Fukaya categories of complexified hyperplane complements; the required wrapped Fukaya category and its partial wrapping at infinity remain to be defined precisely in this generality.