Ein–Lazarsfeld conjecture on Seshadri constants

Let $Y$ be any projective manifold, and let $L$ be any ample line bundle on $Y$. The Seshadri constant of $L$ at a point $y\in Y$, denoted $\epsilon(L,y)$, measures the local positivity of $L$ at $y$. Ein–Lazarsfeld conjecture. At a very general point $y\in Y$,

$$\epsilon(L,y)\geq 1.$$

The conjecture generalizes the result that for an ample line bundle on a projective surface, the inequality holds at a very general point. Its status is not resolved in the supplied text.