The conjecture that every hyperkähler manifold has motive of Abelian type

Let $X$ be a hyperkähler manifold, and let $\mathcal{M}_{rat}(\mathbf{C})$ denote the category of rational motives over $\mathbf{C}$. A motive is of Abelian type if it belongs to the tensor subcategory generated by motives of Abelian varieties. Abelian-type motive conjecture. The motive of $X$ is of Abelian type in $\mathcal{M}_{rat}(\mathbf{C})$.