2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170428This paper is a brief survey on explicit reciprocity laws of Artin-Hasse-Iwasawa-Wiles type for the Kummer pairing on local fields.To appear in the Proceedings of the Segundas Jornada de Teoría de Números, in the Library of Rev.Mat. IberoamericanaNumber Theory11-06;11S31,11S25,11F85,19F15,11S70,14F30,11G09;text