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On an Archimedean analogue of Tate's conjecture

Dipendra Prasad·C. S. Rajan
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Abstract

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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Dipendra Prasad, C. S. Rajan. 2002-03-28. On an Archimedean analogue of Tate's conjecture. https://arxiv.org/abs/math/0203295

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