2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74132This is a (short) survey lecture on the "theta map" from the moduli space of SL_r bundles on a curve C to the projective space of r-th order theta functions on JC . Some recent results and a few open problems about that map are discussed.One wrong conjecture removed, one reference addedAlgebraic Geometrytext