BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Classical hypergeometry and the modularity of Calabi-Yau manifolds Zudilin, Wadim


In my talk I will examine instances of modularity of (rigid) Calabi--Yau manifolds whose periods are expressed in terms of hypergeometric functions. The $p$-th coefficients $a(p)$ of the corresponding modular form can be often read off, at least conjecturally, from the truncated partial sums of the underlying hypergeometric series modulo a power of $p$ and from Weil's bounds. I will also discuss some hypergeometric features that relate the non-truncated sums---the periods, to the critical $L$-values of the modular forms.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International