4 problems

Rapid generation conjecture. There exist absolute constants $C,D$ such that, for every nonabelian finite simple Lie algebra $\operatorname{\mathfrak{g}}$ over $\mathbf{F}_p$ and ev…

Let $\mathfrak{M}(2,n)$ denote planar integral point sets with $n$ points, and call $M$ optimal when it attains the minimum possible diameter among sets in $\mathfrak{M}(2,n)$. No-…

Horizontal-section diameter conjecture. There are absolute constants $C_{1},C_{2}>0$ such that

Let $C$ be a pure normal simplicial complex of dimension $d-1$ with $n$ vertices. Normal-complex diameter conjecture. The diameter of $C$ is at most … This conjecture strengthens t…