3 problems

Zograf's conjecture. For any fixed $n\geq 0$, as $g\to\infty$,

Kimura's conjecture. For any given $n\geq 0$ and boundary lengths $\mathbf{L}=(L_1,\ldots,L_n)$, as $g\to\infty$,

Let $V_{g,n;d}$ denote the mixed intersection number associated with a fixed set $d=(d_1,\dots,d_n)$ of non-negative integers, and let $V_{g,n}$ denote the corresponding Weil–Peter…