On an Archimedean analogue of Tate's conjecture, by Dipendra Prasad and 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.

Dipendra Prasad and C.S.Rajan <dprasad@mri.ernet.in,rajan@math.tifr.res.in>