Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
Alexander Goncharov - ,
Titre
Hodge correlators and a generalization of Rankin-Selberg integrals
Date
15/06/2009
Horaire
14:00 à 16:00
Diffusion
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.