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 |
Attachments |
To Generate a poster for this seminar : [ Postscript | PDF ]
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[ English version ] |