Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials

TL;DR

This paper presents conjectures on the asymptotic behavior of Masur-Veech volumes and Siegel-Veech constants for quadratic differentials as the genus increases, aiming to understand their growth patterns.

Contribution

It introduces conjectural formulas describing the large genus asymptotics of volumes and constants in the moduli spaces of quadratic differentials.

Findings

Proposes conjectures for asymptotic growth of Masur-Veech volumes.

Suggests asymptotic formulas for area Siegel-Veech constants.

Provides a framework for understanding large genus behavior.

Abstract

We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their area Siegel-Veech constants as the genus tends to infinity.