p -adic multiple zeta values II. Tannakian interpretations

By H. Furusho. 2005

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We establish a Tannakian formalism of p-adic multiple polylogarithms and p-adic multiple zeta values introduced in our previous paper via a comparison isomorphism between a de Rham fundamental torsor and a rigid fundamental torsor of the projective line minus three points and also discuss its Hodge and étale analogues. As an application we give a way to erase log poles of p-adic multiple polylogarithms and introduce overconvergent p-adic multiple polylogarithms which might be p-adic multiple analogue of Zagier's single-valued complex polylogarithms.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2e2bbb9782fc025fc97ff6bc2efac73a35a14616