2 problems

Glazyrin–Pak cobordism conjecture. For every integral curve $\gamma$, there is a unit rhombus $\rho$ and a dome over $\gamma\cup\rho$.

Existence and directional uniqueness conjecture. There exists $\epsilon>0$ and at least one ODD regular integral curve $\gamma\colon(-\epsilon,\epsilon)\to M$ with $\gamma(0)=p$. I…