S. Ghazouani - Isoholonomic foliations of moduli spaces of Riemann surfaces - Collection des vidéos de l'Institut Fourier Access content directly
Videos Year : 2019

S. Ghazouani - Isoholonomic foliations of moduli spaces of Riemann surfaces

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Selim Ghazouani
  • Function : Author
  • PersonId : 980940
Fanny Bastien
Donovan Humphries
  • Function : Director

Abstract

In this talk, I will introduce families of foliations on the moduli space of Riemann surfaces M_{g,n} which we call Veech foliations. These foliations are defined by identifying M_{g,n} to certain moduli spaces of flat structures and were first defined by Bill Veech. I will try to expose their specificities, both of geometric and dynamical nature. If time permits I will try to illustrate how the case g=1 is linked to certain differential equations whose solutions are special functions of distinguished interest. This is joint work with Luc Pirio.

Dates and versions

medihal-02274892 , version 1 (30-08-2019)

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Attribution - NonCommercial - NoDerivatives

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  • HAL Id : medihal-02274892 , version 1

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Selim Ghazouani, Fanny Bastien, Donovan Humphries. S. Ghazouani - Isoholonomic foliations of moduli spaces of Riemann surfaces: Summer School 2019 - Foliations and algebraic geometry. 2019. ⟨medihal-02274892⟩
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