Motivic multiple zeta values and the block filtration
| Autor: | Adam Keilthy |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Conjecture Mathematics - Number Theory Modulo Structure (category theory) Block (permutation group theory) Mathematics - Algebraic Geometry 11M32 11G99 Lie algebra FOS: Mathematics Filtration (mathematics) Number Theory (math.NT) Symmetry (geometry) Algebraic Geometry (math.AG) Differential (mathematics) Mathematics |
| Zdroj: | Journal of Number Theory |
| ISSN: | 0022-314X |
| Popis: | 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, and a previously unknown dihedral symmetry and differential relation. Comment: 23 pages, based on work in the author's doctoral thesis. Typo in statement of Corollary 2.9 corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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