Minimal simplicial volume conjecture for hyperbolic 3-manifolds with geodesic boundary

For each $g\geq 2$, let $\mathcal{M}_g$ be the set of $3$-manifolds with boundary that admit an ideal triangulation by $g$ tetrahedra and have Euler characteristic $\chi(M)=1-g$, and let $\overline{\mathcal{M}}_g$ be the set of hyperbolic $3$-manifolds with connected geodesic boundary satisfying $\chi(\partial M)=2-2g$. Minimal simplicial volume conjecture. For $g\geq 2$, the elements of $\mathcal{M}_g$ are exactly the ones having the smallest simplicial volume among the elements of $\overline{\mathcal{M}}_g$. Moreover, the eight elements of $\mathcal{M}_2$ are the hyperbolic manifolds with nonempty geodesic boundary having the smallest simplicial volume. This conjecture proposes that the manifolds of smallest Riemannian volume in each family also minimize simplicial volume, despite the absence of a universal proportionality constant between these invariants. Its status is not resolved in the source.