Weyl-module filtration conjecture for truncated polynomial current algebras

Let ${\mathfrak g}=\mathfrak{gl}_r$, let $A=\mathbb C[x,y]/x^l\mathbb C[x,y]$, and let $\epsilon:A\to\mathbb C$ be evaluation at $(0,0)$. Let $\xi$ be the relevant highest weight, and let $\nabla_n^r(\mathbb C{\rm PF}(\xi^t)^{(l)}\otimes {\rm Sign})$ be the associated representation with its induced filtration.

Weyl-module filtration conjecture.

$$W^A_\epsilon(\xi)\cong {\rm gr}\,\nabla_n^r\left(\mathbb C{\rm PF}(\xi^t)^{(l)}\otimes {\rm Sign}\right).$$

The preceding theorem establishes only that the associated graded representation is a quotient of $W^A_\epsilon(\xi)$; the conjecture asserts that this quotient is an isomorphism. The supplied text gives no resolution status.