Dominique Manchon - Hopf-Algebraic Renormalization of Multiple Zeta Values and their q-analogues
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2021-02-04

After a brief introductory account, I’ll explain how a quasi-shuffle compatible definition (by no means unique) of multiple zeta values can be given for integer arguments of any sign, through Connes-Kreimer’s Hopf-algebraic renormalization. Finally, I’ll introduce the Ohno-Okuda-Zudilin model of q-analogues for multiple zeta values, describe the algebraic structure which governs it, and explain how it could open a way to the more delicate renormalization of shuffle relations.


Slides :
https://indico.math.cnrs.fr/event/6181/contributions/4954/attachments/2646/3356/Manchon-IHES-Dec2020.pdf