| Résume | We describe the real mixed Hodge structureon the rational homotopy type of a complex variety $X$ in a new way,as correlators for some Feynman integrals related to $X$.These correlators are perfectly well defined integralson products of copies of $X$.In the special case when $X$ is a modular curve, the simplest of thesecorrelators turns out to be the Rankin-Selberg integrals for thespecial values of (products of) modular forms. |
