2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106439For every non-exceptional affine Lie algebra, we explicitly construct a positive geometric crystal associated with a fundamental representation. We also show that its ultra-discretization is isomorphic to the limit of certain perfect crystals of the Langlands dual affine Lie algebra.46 pagesQuantum AlgebraRepresentation Theorytext