3 problems

Shokurov's conjecture. For every natural $n$ minimal discrepancies of $n$-dimensional log-terminal singularities can accumulate only from above.

Let $Y$ be an irreducible $\mathbb{Q}$-Gorenstein variety, and let … be a crepant resolution such that $\mathcal{X}$ has affine diagonal. Optimality conjecture for crepant resoluti…

Density conjecture. The intersection $I_l\cap J$ is dense for every $l$.