2 problems

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Lück's homological torsion growth conjecture for aspherical manifolds
Let $M$ be an aspherical closed manifold. Consider a descending chain of subgroups … such that each $G_i$ is normal in $G=\pi_1(M)$ , the index $[G:G_i]$ is finite, and…
Conjecturesolvedaspherical-manifolds homological-growth l2-torsionarXiv posted 2 days ago
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Lück's modified $L^2$ -torsion approximation conjecture
Modified homological torsion approximation conjecture. The limit exists and equals
Conjectureopenhomological-growth l2-approximation l2-torsionarXiv posted 2 days ago

Lück's homological torsion growth conjecture for aspherical manifolds