The asymptotic principle for area-minimizing flat chains modulo n

Consider the direct-limit coefficient group $\mathbb{Q}/\mathbb{Z}$ obtained from the groups $\mathbb{Z}/n\mathbb{Z}$ under the multiplication maps, equipped with the norm induced by the absolute value on the unique representatives in $[-\frac{1}{2},\frac{1}{2})$. Asymptotic principle for area-minimizing flat chains modulo n. $\mathbb{R}/\mathbb{Z}$-area-minimizing flat chains represent the asymptotic behavior of $\mathbb{Z}/n\mathbb{Z}$-area-minimizing flat chains as $n\to\infty$, just as $\mathbb{R}$-area-minimizing flat chains represent the asymptotic behavior of $\mathbb{Z}$-area-minimizing flat chains. This conjecture proposes the limiting variational interpretation of the renormalized finite-coefficient problems as the modulus tends to infinity.