English

On an Archimedean analogue of Tate's conjecture

Number Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0203295,
  title  = {On an Archimedean analogue of Tate's conjecture},
  author = {Dipendra Prasad and C. S. Rajan},
  journal= {arXiv preprint arXiv:math/0203295},
  year   = {2007}
}