3 problems

Octonionic Calabi–Yau conjecture. There exist a $C^\infty$-smooth function $u\colon M\longrightarrow\mathbb{R}$ and a constant $A>0$ such that

Local dimension conjecture. In a neighborhood of the explicitly constructed code, the space of tight $39$-point codes modulo the action of $F_4$ is a manifold of dimension $24$.

Local dimension conjecture. There exists a $24$-point, respectively $25$-point, tight simplex in ${\mathbb O}{\mathbb P}^2$ such that, in a neighborhood of it, the space of tight s…