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- W3136564492 abstract "We study the depth filtration on multiple zeta values, on the motivic Galois group of mixed Tate motives over $mathbb {Z}$ and on the Grothendieck–Teichmüller group, and its relation to modular forms. Using period polynomials for cusp forms for $mathrm {SL} _2(mathbb {Z})$ , we construct an explicit Lie algebra of solutions to the linearized double shuffle equations, which gives a conjectural description of all identities between multiple zeta values modulo $zeta (2)$ and modulo lower depth. We formulate a single conjecture about the homology of this Lie algebra which implies conjectures due to Broadhurst and Kreimer, Racinet, Zagier, and Drinfeld on the structure of multiple zeta values and on the Grothendieck–Teichmüller Lie algebra." @default.
- W3136564492 created "2021-03-29" @default.
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- W3136564492 date "2021-03-01" @default.
- W3136564492 modified "2023-10-18" @default.
- W3136564492 title "Depth-graded motivic multiple zeta values" @default.
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- W3136564492 doi "https://doi.org/10.1112/s0010437x20007654" @default.
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