On an Archimedean analogue of Tate's conjecture |
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| Authors: | Dipendra Prasad C.S. Rajan |
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| Affiliation: | a Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India
b Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India |
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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 Vignéras and Sunada. We prove a simple lemma in group theory which lies at the heart of T. Sunada's theorem about isospectral manifolds. |
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| Keywords: | primary 58G25 secondary 12A70 11G30 |
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