Le colloque aura lieu à L'institut Henri Poincaré, du 11 au 15 avril 2022.

Ce site web sera mis à jour bientôt.

Hypergeometric mirror maps
Julien Roques  1@  
1 : Université de Lyon 1
Université de Lyon 1, CNRS : UMR5208

Mirror maps are power series which occur in mirror symmetry as the inverse for composition of power series of the form q(z) = exp(ω2(z)/ω1(z)), called canonical coordinates, where ω1(z) and ω2(z) are particular solutions of the Picard-Fuchs equation associated with certain one-parameter families of Calabi-Yau varieties. In several cases, the mirror maps have integral coefficients. In this talk, we will give an overview of the integrality properties of mirror maps associated to the generalized hypergeometric equations. We will end with some open problems.

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