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Volumes of principal strata of quadratic differentials and intersection numbers

Connections for Women: Holomorphic Differentials in Mathematics and Physics August 15, 2019 - August 16, 2019

August 16, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Elise Goujard (Institut de mathématiques de Bordeaux)
Location: MSRI: Simons Auditorium
  • Flat surfaces

  • Masur-Veech volumes

  • intersection numbers

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



After a general introduction to flat surfaces I will present a formula for the Masur-Veech volumes of principal strata of quadratic differentials in terms of intersection numbers involving psi-classes. This formula closely relates the counting of square-tiled surfaces with Mirzakhani's counting of simple closed geodesic multicurves on hyperbolic surfaces, and leads to several conjectures for the large genus asymptotics. This is a joint work with V.Delecroix, P.Zograf and A.Zorich.

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H.264 Video 894_27300_7865_08-Goujard.mp4
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