On an Archimedean analogue of Tate's conjecture
Dipendra Prasad, C. S. Rajan
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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