3 problems

Rigidity conjecture. If $\Gamma$ has no satellites, then it is rigid.

A group is locally indicable if every nontrivial finitely generated subgroup admits a surjective homomorphism onto $\mathbb{Z}$. The locally indicable subgroup-rigidity conjecture.…

Let $F$ be a free group and let $p$ be an odd prime. Let $H$ be a finitely generated subgroup of $F$, and let $\widetilde H$ be its $L^2$-closure. The two-part odd-characteristic c…