Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 13 December 2018
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Panzer
Speaker's First Name Eric
Speaker's Email Address erikpanzer [at] gmail [dot] com
Speaker's Institution Oxford
Title Integration with multiple polylogarithms
Abstract 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.
arXiv Preprint Number 1607.08467
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