6 problems

Let $\mathfrak{g}^{\mathfrak{m}}$ be the motivic Lie algebra of multiple zeta values, equipped with its depth filtration $D$, and let…

Let $\mathfrak{dg}_1$ be the depth-one component of the depth-graded motivic Lie algebra, let $\mathbb{P}$ be the space of restricted even period polynomials, and let…

Let $F$ be a field, let $n$ be a positive integer, let $\mathcal{L}_n(F)$ be the degree $n$ component of the motivic Lie coalgebra, and let $\widetilde{\mathcal{L}}_n(F)$ be the gr…

Let $F$ be an arbitrary field, and let $\mathcal{L}_{\bullet}(F)$ be the motivic Lie coalgebra. Consider the standard cochain complex built from its exterior powers, whose degree…

Let $\mathfrak{d}\mathfrak{g}_1$ be the depth-one part of the depth-graded motivic Lie algebra, let $\mathcal{U}\mathfrak{g}$ be its enveloping algebra, and let $\gamma$ be the nat…

Let $\mathfrak{d}\mathfrak{g}_1$ be the depth-one part of the depth-graded motivic Lie algebra, let $\mathcal{U}\mathfrak{g}$ be its enveloping algebra, and let…