The center conjecture for affine web endomorphism algebras

Let $m$ be a positive integer, let $\bLambda_{\text{st}}(m)$ denote the set of objects under consideration, and let $\mathpzc{Web}^\bullet$ be the affine web category. For $\lambda\in\Lambda_{\text{st}}(m)$, consider its endomorphism algebra $\operatorname{End}_{\mathpzc{Web}^\bullet}(\lambda)$. The center conjecture. For any $\lambda\in\Lambda_{\text{st}}(m)$, the center of $\operatorname{End}_{\mathpzc{Web}^\bullet}(\lambda)$ is isomorphic to the ring of symmetric functions in $m$ variables. This predicts a uniform description of the centers of affine web endomorphism algebras; the supplied text gives no resolution status.