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On the SL(2) period integral
U. K. Anandavardhanan, Dipendra Prasad
Let E/F be a quadratic extension of number fields. For a cuspidal representation of SL(2,A_E), we study the non-vanishing of the period integral on SL(2,F)\SL(2,A_F). We charac…
Reduction of homomorphisms mod p and algebraicity
Chandrashekhar Khare, Dipendra Prasad
{Let be a number field, and abelian varieties over . Let (resp. ) be a non-torsion point in (resp. ) such that for almost all places o…
An analogue of a conjecture of Mazur a question in Diophantine approximation on tori
Dipendra Prasad
B. Mazur has considered the question of density in the Euclidean topology of the set of -rational points on a variety defined over , in particular for Abeli…
On an Archimedean analogue of Tate's conjecture
Dipendra Prasad, C. S. Rajan
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 enun…
Reduction of abstract homomorphisms of lattices mod p and rigidity
Chandrashekhar Khare, Dipendra Prasad
In this paper we pose and answer the following question in a few different contexts: Given a homomorphism f:L_1 --> L_2 of a ``lattices'' that ``reduces mod p'' for almost all prim…
Bounding the torsion in CM elliptic curves
Dipendra Prasad, C. S. Yogananda
Merel has shown that the order of torsion subgroup of an elliptic curve over a number field can be bounded in terms of only the degree of the number field. The purpose of this note…