We give a conjectural description of the restriction of an irreducible representation of a unitary group U(n) to a subgroup U(n âˆ’ 1) over a local or global field. We formulate analogous conjecturesâ€¦ (More)

We use the recent proof of Jacquetâ€™s conjecture due to Harris and Kudla, and the Burger-Sarnak principle to give a proof about the relationship between the existence of trilinear forms onâ€¦ (More)

Methods of theta correspondence are used to analyze local and global Bessel models for GSp4 proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors inâ€¦ (More)

We prove several multiplicity one theorems in this paper. For k a local field not of characteristic two, and V a symplectic space over k, any irreducible admissible representation of the symplecticâ€¦ (More)

In this paper we continue our algebraic approach to the study of locally analytic representations of a p-adic Lie group G in vector spaces over a non-Archimedean complete field K. We characterize theâ€¦ (More)

Let E be an elliptic curve defined over Q. Let E(Fp) denote the elliptic curve modulo p. It is known that there exist integers i p and f p such that E(Fp) âˆ¼= Z/ i pZ Ã— Z/ i p f pZ. We study questionsâ€¦ (More)

In this paper we study the theta correspondence for Unitary groups of the same size over local and global fields. This correspondence has been studied in many cases by several authors. We are able toâ€¦ (More)

In this paper we prove a conjecture of Jacquet about supercuspidal representations of GLn(K ) distinguished by GLn(k), or by Un(k), for K a quadratic unramified extension of a non-Archimedean localâ€¦ (More)