Zograf's large-genus asymptotic conjecture for Weil–Petersson volumes

Let $V_{g,n}$ denote the Weil–Petersson volume of the moduli space with genus $g$ and $n$ marked points. For any fixed $n\geq 0$, consider the limit as $g\to\infty$.

Zograf's conjecture. For any fixed $n\geq 0$, as $g\to\infty$,

$$V_{g,n}=\frac{(2g-3+n)!(4\pi^2)^{2g-3+n}}{\sqrt{g\pi}}\left(1+\frac{c^{1}_{n}}{g}+\mathit{O}\left(\frac{1}{g^{2}}\right)\right).$$

This gives a precise first-order large-genus asymptotic expansion and predicts the universal factorial and exponential growth of Weil–Petersson volumes. The source does not state a resolution of the conjecture.