Detcherry–Kalfagianni Turaev–Viro simplicial-volume conjecture

Let $M$ be a compact oriented $3$-manifold. Define

$$\operatorname{LTV}(M)=\limsup_{r\rightarrow\infty,\ r\ \text{odd}}\frac{2\pi}{r}\log\left|\operatorname{TV}_r\left(M;q=e^{\frac{2\pi i}{r}}\right)\right|.$$

Let $v_3$ be the volume of the regular ideal tetrahedron, and let $\|M\|$ denote the simplicial volume.

Detcherry–Kalfagianni simplicial-volume conjecture.

$$\operatorname{LTV}(M)=v_3\|M\|.$$

This conjecture extends the Turaev–Viro volume conjecture from hyperbolic manifolds to compact oriented $3$-manifolds using simplicial volume. The source does not state whether it has been resolved.