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Title:
A Betti counterpart of the harmonic coproduct (I)
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Abstract:
The double shuffle and regularization relations between multiple zeta values lead to the construction of the "double shuffle and regularization" scheme, which is a torsor under a "double shuffle" group scheme (Racinet). This group scheme is the target of a morphism from the Tannakian group of the category of unramified mixed Tate motives relative to the "de Rham" realization. We will explain how to construct a "Betti" counterpart of this group scheme. The first step in this direction is based on the following observations:
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