Statut | Confirmé |
Série | MATH-IHES |
Domaines | hep-th |
Date | Lundi 23 Juillet 2018 |
Heure | 11:00 |
Institut | IHES |
Salle | Amphithéâtre Léon Motchane |
Nom de l'orateur | Kaufmann |
Prenom de l'orateur | Ralph |
Addresse email de l'orateur | |
Institution de l'orateur | Purdue University & IHES |
Titre | Hopf algebras from Feynman categories |
Résumé | We introduce Feynman categories and show that they naturally define bi-algebras. In good circumstances these bi-algebras have Hopf quotients. Corresponding to several levels of sophistication and decoration (both terms have technical definitions), we recover the Hopf algebras of Goncharov and Brown from number theory, a Hopf algebra of Baues used in the analysis of double loop spaces and the various Hopf algebras of Connes-Kreimer used in QFT as examples of the general theory. Co-actions also appear naturally in this context as we will explain. |
Numéro de preprint arXiv | |
Commentaires | |
Fichiers attachés |
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