2 problems

Gromov's conjecture. The homotopical distortion of $\alpha$ is $\Theta(L^n)$ if and only if the Hurewicz image of $\alpha$ is nonzero. Otherwise, the homotopical distortion is…

Gromov's minimal-model conjecture. The distortion of a rational homotopy class $\alpha \in \pi_n(X) \otimes \mathbb{Q}$ is determined by the minimal model of $X$.