Polini–Ulrich conjecture on colon ideals of parameter ideals

Let $(A,\mathfrak{m})$ be a Cohen–Macaulay local ring with $\dim A \geq 2$. Assume that $\dim A \geq 3$ when $A$ is regular. Let $q \geq 2$ be an integer and let $Q$ be a parameter ideal in $A$ such that

$$Q \subseteq \mathfrak{m}^q.$$

Polini–Ulrich conjecture. One has

$$Q:\mathfrak{m}^q \subseteq \mathfrak{m}^q.$$

This conjecture concerns the containment of a colon ideal associated with a parameter ideal inside a power of the maximal ideal. It was posed by C. Polini and B. Ulrich and was settled by H.-J. Wang, so the conjecture is no longer open.