Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : à distance / remote
Adresse :IHP
Description

Depuis le 23 mars 2020, le séminaire se tient à distance. Pour les liens et mots de passe, merci de contacter l'un des organisateurs ou de souscrire à la liste de diffusion https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. L'information nécessaire sera envoyée par courrier électronique peu avant chaque exposé. Les notes et transparents sont disponibles ici.

 

Since March 23, 2020, the seminar has been taking place remotely. For the links and passwords, please contact one of the organizers or

subscribe to the mailing list at https://listes.math.cnrs.fr/wws/info/paris-algebra-seminar. The connexion information will be emailed shortly before each talk. Slides and notes are available here.

 


Orateur(s) Johannes SINGER - Erlangen,
Titre Shuffle renormalization of (q-)multiple zeta values
Date18/05/2015
Horaire14:00 à 15:00
Diffusion
RésumeMultiple zeta values (MZVs) are multidimensional generalizations of the Riemann zeta function which are usually studied at positive integers. It is a natural question to ask for MZVs defined for non-positive arguments. In dimension greater than one - in contrast to the case of Riemann zeta function - there are tuples of non-positive integers belonging to the pole set of the meromorphic continuation of MZVs. In the talk we study the Hopf algebra of multiple polylogarithms and the corresponding q-analogue at non-positive arguments which are related to the shuffle product of MZVs. In order to obtain renormalized MZVs for all non-positive arguments we apply the procedure of renormalization introduced by Connes and Kreimer in perturbative quantum field theory. This is a joint work with Kurusch Ebrahimi-Fard and Dominique Manchon.
Salleà distance / remote
AdresseIHP
© IMJ-PRG