On an Archimedean analogue of Tate's conjecture

Mathematics – Number Theory

Scientific paper

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Scientific paper

We 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.

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