Depth-graded motivic Lie algebra

DOI10.1016/J.JNT.2020.04.022zbMath1436.14013arXiv1801.02145OpenAlexW3027071817WikidataQ115345745 ScholiaQ115345745MaRDI QIDQ2187116

Jiangtao Li

Publication date: 2 June 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02145

zbMATH Keywords

mixed Tate motivesperiod polynomialsmotivic Lie algebra

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Identities, free Lie (super)algebras (17B01) Homological methods in Lie (super)algebras (17B55) (Equivariant) Chow groups and rings; motives (14C15) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Motivic multiple zeta values relative to \(\mu_2\)

Cites Work

• Unnamed Item
• Period polynomial relations between double zeta values
• Mixed Tate motives over \(\mathbb{Z}\)
• Homology of depth-graded motivic Lie algebras and koszulity
• The unipotent motivic fundamental group of \(\mathbf G_m - \mu_N\), for \(N=2,3,4,6\) or \(8\)
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• The depth structure of motivic multiple zeta values
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• ON LINEAR RELATIONS AMONG TOTALLY ODD MULTIPLE ZETA VALUES RELATED TO PERIOD POLYNOMIALS
• Groupes fondamentaux motiviques de Tate mixte
• Depth-graded motivic multiple zeta values

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