4 problems

Fix a dimension, and let the minimal log discrepancy be the invariant denoted by $\operatorname{mld}$ for singularities in that dimension. Shokurov's conjecture. The minimal log di…

ACC conjecture for local volumes. If $b$ is finite, then the only accumulation point of $\operatorname{Vol}_{d,b}^{\operatorname{loc}}$ is $0$. If $b$ satisfies the descending chai…

Dicksonianity conjecture. Then $\mathfrak g$ is Dicksonian.

Positive Witt algebra ideal ACC conjecture. The system of two-sided ideals of $U(W_+)$ satisfies the ascending chain condition.