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Periods and mixed motives

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abstract

We define motivic multiple polylogarithms and prove the double shuffle relations for them. We use this to study the motivic fundamental group of the multiplicative group - {N-th roots of unity} and relate it to geometry of modular varieties. In particular we get new information about the actionof the Galois group on the pro-l completion of the above fundamental group. This paper is the second part of "Multiple polylogarithms and mixed Tate motives" math.AG/0103059

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math.NT 1

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2020 1

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UNVERDICTED 1

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Integrality of $v$-adic multiple zeta values

math.NT · 2020-01-07 · unverdicted · novelty 6.0

Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.

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  • Integrality of $v$-adic multiple zeta values math.NT · 2020-01-07 · unverdicted · none · ref 18 · internal anchor

    Proves integrality of v-adic MZVs ζ_A(s)_v for almost all v via valuation estimates, as a function-field analogue of known p-adic results.