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Séminaire de Géométrie

Intersection theory and Masur-Veech Volumes

Adrien Sauvaget

( Utrecht )

Salle 2

le 19 avril 2019 à 11:00

We show that the Masur-Veech volumes of moduli space of flat surfaces with conical singularities can be expressed as intersection numbers in the Hodge bundle. This result is parallel to the expression of Weil-Peterson volumes in moduli spaces of curves by Mirzakhani. However, the relations between these two families of invariants are still ill-understood both the combinatorial and geometric points of view. (joint with D. Chen, M. Moeller, D. Zagier).