2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63677We consider an Archimedean analogue of Tate's conjecture, and verify the conjecture in the examples of isospectral Riemann surfaces constructed by Vigneras and Sunada. We also enunciate a simple lemma in group theory which lies at the heart of T. Sunada's theorem about isospectral manifolds.Number Theorytext