Status  Confirmed 
Seminar Series  MATHIHES 
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  IMJPRG 
Title  Bridges Between Flat and Hyperbolic Enumerative Geometry 
Abstract  : I will give a formula for the MasurVeech volume of the moduli space of quadratic differentials in terms of psiclasses (in the spirit of Mirzakhani's formula for the WeilPeterson 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 squaretiled surfaces. I will conclude with a (mostly conjectural) description of the geometry of a "random" squaretiled 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 
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