2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147200We prove the Givental conjecture that the (equivariant) quantum cohomology of flag manifolds G/B are governed by the conservation law of Toda lattices. In addition, we find the quantum differential module structure of the flag manifolds.19 pages, published versionAlgebraic Geometrytext