Motivic multiple zeta values and the block filtration

被引：1

作者：

Keilthy, Adam ^{[1
]}

机构：

[1] Max Planck Inst Math, Bonn, Germany

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 238卷

关键词：

Multiple zeta values; Motivic periods; Mixed Tate motives; Polylogarithms; Shuffle algebras;

D O I：

10.1016/j.jnt.2021.10.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the block filtration, defined by Brown based on the work of Charlton, to all motivic multiple zeta values, and study relations compatible with this filtration. We construct a Lie algebra describing relations among motivic multiple zeta values modulo terms of lower block degree, proving Charlton's cyclic insertion conjecture in this structure, and showing the existence of a 'block shuffle' relation, a dihedral symmetry, and differential relation. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：883 / 919

页数：37

共 22 条

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Bar-Natan D, 1998, SELECTA MATH, V4, P183

[2] On the derivation representation of the fundamental Lie algebra of mixed elliptic motives [J].