2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61426The Lefschetz formula for the action of a Hecke correspondence on the weighted cohomology of a locally symmetric space is derived. It is also proven that each Hecke correspondence on the reductive Borel-Serre compactification of the locally symmetric space is weakly hyperbolic.Representation TheoryAlgebraic Geometry11F72, 11F75, 11F23 (primary)text