In-Person and Online Talk

Algebraic fibering is the group-theoretic analogue of fibration over the circle for manifolds. Recently Kielak generalised the work of Agol to show that fibering is detected by the vanishing of L2-homology in groups which satisfy the RFRS condition. The main focus of this talk is to discuss the consequences of admitting algebraic fibrations on the geometry of groups, with applications to exotic subgroups of hyperbolic groups and groups whose (co)homology satisfies a Poincaré–Lefschetz duality.