2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65417We found an explicit description of all $GL(n,\RR)$-Whittaker functions as oscillatory integrals and thus constructed equivariant mirrors of flag manifolds. As a consequence we proved the Virasoro conjecture for flag manifolds.To appear in IMRNAlgebraic GeometrySymplectic Geometrytext