Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
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Orateur(s) Alexander Goncharov - ,
Titre Hodge correlators and a generalization of Rankin-Selberg integrals
Date15/06/2009
Horaire14:00 à 16:00
Diffusion
RésumeWe  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.
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