3 problems

Bowden's conjecture. The stable mapping class group $\Gamma_\infty$ is boundedly acyclic.

Let $G$ be a finite-rank subgroup of a semiabelian complex variety, equipped with the first-order structure induced from the complex field. Mordell–Lang conjecture. This induced fi…

Abelian-by-finite conjecture. Every stable $\omega$-categorical group is abelian-by-finite.