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Séminaire Motifs et Intégrales de Feynman

10h30 - Federico ZERBINI (Insitut de Physique Théorique)

"Elliptic multiple zeta values and string theory"

Résumé : The Feynman diagram expansion of scattering amplitudes in perturbative superstring theory can be written as a series of integrals over compactified moduli spaces of Riemann surfaces with marked points, indexed by the genus. In genus zero it is known that the amplitude can be expressed in terms of periods of M_{0,N}, which are just multiple zeta values. In this talk I want to report on recent advances in the genus one amplitude, relying on the development of an elliptic generalization of multiple zeta values given by certain iterated integrals of modular forms.