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

Amol Aggarwal , Vincent Delecroix (1) , Elise Goujard (2) , Peter Zograf , Anton Zorich (3)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique
2 IMB - Institut de Mathématiques de Bordeaux
3 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Géométrie algébrique [math.AG]; Combinatoire [math.CO]; Géométrie différentielle [math.DG]; Systèmes dynamiques [math.DS]; Topologie géométrique [math.GT]; Théorie des nombres [math.NT]; Physique mathématique [math-ph]

Amol Aggarwal, Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich. Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials. Arnold Mathematical Journal, 2020, 6 (2), pp.149--161. ⟨hal-02482063⟩