p-adic multiple zeta values II. Tannakian interpretations

• Autores: Hidekazu Furusho
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 129, Nº 4, 2007, págs. 1105-1144
• Idioma: inglés
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• Resumen

  • 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 \'{e}tale 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