On Multiple zeta values and their q-analogues

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On Multiple zeta values and their q-analogues
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Hopf-Algebraic Renormalization of Multiple Zeta Values and their q-analogues
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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.
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