5 problems

Let $A_{\mathbb{Q}_p}^{(N)}(\boldsymbol{s})$ be the $p$-adic Koba–Nielsen amplitudes, and let $A_{\mathbb{C((}T\mathbb{))}}^{(N)}(\boldsymbol{L})$ denote the motivic string amplitu…

Brödel–Schlotterer–Zerbini's esv conjecture. For all graphs $\Gamma$,

Let $\Gamma$ be a graph, and let … be its modular graph function, with $l$ edges, $q=\exp(2\pi i\tau)$, and $y=\pi\,\operatorname{Im}(\tau)$. Denote by $\mathcal{Z}^{\rm sv}$ the a…

KP decomposition conjecture. There exists such a KP decomposition for which, as $\alpha'\to0$, the following hold: (i) integrating over the outer domain gives only a subleading con…

Tropical prime form conjecture. At any loop order, the tropical prime form equals the scalar $s$ of Dai, namely the graph distance $d_\gamma(X,Y)$ between $X$ and $Y$ along a path…