Séminaire Motifs et intégrales de Feynman
Le séminaire aura lieu en Salle W à l'École Normale Supérieure
10h30 - Pierre VANHOVE (Insitut de Physique Théorique)
"Motives and Feynman integrals"
Résumé : General arguments indicate that Feynman integrals can be thought as period integrals. This talk aims to make this relation concrete on a certain class of quantum field theory amplitudes at two- and three-loop orders evaluated in a two-dimensional space-time. We will show that these integrals are given by a period of a variation of a mixed Hodge structure, and can be expressed as Eisenstein series of regulator of a class in the motivic cohomology. This is based on work done in collaboration with Spencer Bloch and Matt Kerr.