Large-genus asymptotics of area Siegel–Veech constants of quadratic-differential strata

Let $\boldsymbol{d}\in\hat\Pi_{4g-4}$, and let ${\mathcal Q}(\boldsymbol{d})$ be a non-hyperelliptic connected component of a stratum of meromorphic quadratic differentials with at most simple poles. Write $c_{\mathit{area}}({\mathcal Q})$ for its area Siegel–Veech constant. Large-genus Siegel–Veech conjecture. For $g\geq 6$,

$$c_{\mathit{area}}({\mathcal Q})=\frac14\bigl(1+\varepsilon_2(\boldsymbol{d})\bigr),$$

where

$$\lim_{g\to\infty}\max_{\boldsymbol{d}\in\hat\Pi_{4g-4}}|\varepsilon_2(\boldsymbol{d})|=0.$$

The conjecture is supported by exact computations and numerical data for large-genus strata, but its general validity remains open.