|
Statut |
Confirmé |
|
Série |
SEM-DARBOUX |
|
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 |
|
|
Commentaires |
|
|
Fichiers attachés |
|
