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

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.

arXiv comment10 pages

References in corpus (3)

• Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
• Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
• Volumes of strata of Abelian differentials and Siegel-Veech constants in large genera

Cited by in corpus (2)

• Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
• Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves