2 problems

Lattice-to-hyperplane extension conjecture. There exist constants $K:=K(d,L)>L$ and $J:=J(d,L)>L$, determined by $d$ and $L$, and a $K$-bilipschitz mapping…

Let $G$ be a Carnot group, and let $U,U'\subset G$ be open sets. Xie's conjecture. If $G$ is neither $\mathbb{R}^n$ nor a Heisenberg group $\mathbb{H}_n$, then every quasiconformal…