Chen–Yang Turaev–Viro volume conjecture

Let $M$ be a finite-volume hyperbolic $3$-manifold, and let $TV_r(M,e^{2\pi i/r})$ denote its Turaev–Viro invariant at the indicated root of unity. Then

Chen–Yang Turaev–Viro volume conjecture.

$$\lim_{\substack{r\to\infty\r\ \operatorname{odd}}}\frac{2\pi}{r}\log\left(TV_r\left(M,e^{\frac{2\pi i}{r}}\right)\right)=\operatorname{Vol}(M).$$

This is the Turaev–Viro analogue of the colored-Jones volume conjecture for finite-volume hyperbolic $3$-manifolds. The source presents it as a conjecture and gives no resolution.