ACC conjecture for log canonical thresholds

Let $I\subseteq[0,1]$ and $J\subseteq\mathbb{R}_{>0}$ be sets satisfying the descending chain condition. For a log pair $(X,\Delta)$ of dimension $n$ over an arbitrary field, with coefficients of $\Delta$ in $I$, and an effective $\mathbb{R}$-Cartier divisor $M$ whose coefficients lie in $J$, define

$$\operatorname{lct}(X,\Delta;M)=\sup\{t\in\mathbb{R}\mid (X,\Delta+tM)\text{ is log canonical}\}$$

and let $\operatorname{LCT}_n(I,J)$ be the set of all such thresholds. ACC conjecture for log canonical thresholds. The set $\operatorname{LCT}_n(I,J)$ satisfies the ascending chain condition.

This conjecture concerns the discreteness of log canonical thresholds under DCC conditions on the coefficient sets. Its status is not resolved by the supplied context.