4 problems

Let $X$ be the thrice-punctured projective line used in the polylogarithmic Chabauty–Kim construction, let $Z$ be an open subscheme of $\operatorname{Spec}\mathbb{Z}$, and let $p$…

Fix a prime $q_s$ and an integer $n\in\mathbb{N}$. Let $Z_{>q}$ be … and let $A^G_{[\leq n]}$ denote the subalgebra generated by elements of degree at most $n$ in the Goncharov quo…

For an open subscheme $Z\subset\operatorname{Spec}\mathbb{Z}$ and a prime $p\in Z$, the $p$-adic zeta values $\zeta^p(n)$ are known to be nonzero when $n$ is odd and $n\geq 3$ and…

Let $Z\subset\operatorname{Spec}\mathbb{Z}$ be open, let $Z_p$ be the complete local scheme at a prime $p$ of $Z$, and let $X$ be a hyperbolic curve over $Z$. In the commuting squa…