Volumes of Moduli Spaces of Bordered Surfaces and Schwarzians

Quand : 17 juin 2026 à 14:30

Où : IHES

Organisé par : Institut Henri Poincaré

We consider ``fool's crowns'' -- parts of Riemann surfaces with holes with n marked points/bordered cusps on a hole boundary decorated by horocycles. We define volumes of the corresponding moduli spaces by postulating a decoration-independent action, which in the limit of n tending to infinity transforms into a Schwarzian action on boundary "trumpets". We derive the corresponding volumes for arbit