Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Jeudi 13 Décembre 2018
Heure 11:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Panzer
Prenom de l'orateur Erik
Addresse email de l'orateur erikpanzer [at] gmail [dot] com
Institution de l'orateur Oxford
Titre Integration with multiple polylogarithms
Résumé Multiple polylogarithms are generalizations of the classical (poly-)logarithm functions and play an important role in several areas of mathematics. Their special values at one are well-known as multiple zeta values and these form the Drinfeld associator. Polylogarithms arise naturally as iterated integrals on the moduli space of genus zero curves, and their integration theory was worked out explicitly by F. Brown and is completely understood. I will define this class of functions, explain some of their properties, and show how they can be used to compute a certain class of integrals. Applications to Feynman integrals, string amplitudes and deformation quantization will be illustrated.
Numéro de preprint arXiv
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