Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Tuesday 11 June 2019
Time 14:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Zorich
Speaker's First Name Anton
Speaker's Email Address
Speaker's Institution IMJ-PRG
Title Bridges Between Flat and Hyperbolic Enumerative Geometry
Abstract : I will give a formula for the Masur-Veech volume of the moduli space of quadratic differentials in terms of psi-classes (in the spirit of Mirzakhani's formula for the Weil-Peterson volume of the moduli space of hyperbolic surfaces). I will also show that Mirzakhani's frequencies of simple closed hyperbolic geodesics of different combinatorial types coincide with the frequencies of the corresponding square-tiled surfaces. I will conclude with a (mostly conjectural) description of the geometry of a "random" square-tiled surface of large genus and of a "random" multicurve on a topological surface of large genus. The talk is based on joint work in progress with V. Delecroix, E. Goujard and P. Zograf. It is aimed at a broad audience, so I will try to include all necessary background.
arXiv Preprint Number
Comments Séminaire Géométrie et groupes discrets

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