3 problems

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Congruence-subgroup homology torsion growth conjecture for arithmetic hyperbolic 3-manifold groups
Let $G$ be an arithmetic hyperbolic $3$ -manifold group, and consider a decreasing sequence of congruence subgroups of $G$ with trivial intersection. The first homology torsion grow…
Conjectureopenarithmetic-groups homology-torsion hyperbolic-3-manifoldsarXiv posted 2 days ago
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Lück's torsion-growth conjecture for residually finite aspherical manifolds
Let $M^n$ be a closed aspherical $n$ -manifold with residually finite fundamental group. Let $\Gamma_k\vartriangleleft\pi_1(M^n)$ be any normal chain with $\bigcap_k\Gamma_k=1$ . Lüc…
Conjectureopenaspherical-manifolds homology-torsion residual-finitenessarXiv posted 2 days ago
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Finiteness of primes with p-torsion in homology of abelian p-power covers of link complements
Let $N$ be a link complement, let $G=\pi_1(N)$ , and for each prime $p$ let $N_0\to N$ be the cover corresponding to the natural group morphism … The link-complement homology torsio…
Conjectureopen3-manifold-topology homology-torsion link-complementsarXiv posted 2 days ago

Congruence-subgroup homology torsion growth conjecture for arithmetic hyperbolic 3-manifold groups