2 problems

0 votes0 replies1 view
The virtual positive Betti number conjecture for rank-one locally symmetric spaces
Let $X=\Gamma\backslash G/K$ be a locally symmetric space, where $G$ is a connected semisimple non-compact linear Lie group of real rank $1$ . A finite cover of $X$ is a covering sp…
Conjecturesolvedcohomology locally-symmetric-spaces rank-one-groupsarXiv posted 2 days ago
0 votes0 replies0 views
The Thurston–Borel first-Betti-number conjecture for rank-one lattices
Let $\Gamma$ be a lattice in $SO(1,n)$ or $SU(1,n)$ . The Thurston–Borel conjecture. Every such lattice should have a finite-index subgroup admitting a surjection onto $\mathbb Z$ .…
Conjectureopengroup-cohomology lattices rank-one-groupsarXiv posted 2 days ago

The virtual positive Betti number conjecture for rank-one locally symmetric spaces