A correspondence for the generalized Hecke algebra of the metaplectic cover , -adic.
A Fourier summation formula for the symmetric space
A generalization of level-raising congruences for algebraic modular forms
In this paper, we extend the results of Ribet and Taylor on level-raising for algebraic modular forms on the multiplicative group of a definite quaternion algebra over a totally real field . We do this for automorphic representations of an arbitrary reductive group over , which is compact at infinity. In the special case where is an inner form of over , we use this to produce congruences between Saito-Kurokawa forms and forms with a generic local component.
A Lemma on Highly Ramified ...-Factors.
A non-selfdual automorphic representation of GL3 and a Galois representation.
A note on the global Langlands conjecture.
A Rankin-Selberg integral for the adjoint representation of GL3.
A relation between automorphic representations of and
A relative trace formula
A relative trace formula proof of the Petersson trace formula
A remark on Construire un noyau de la fonctorialité by Lafforgue
Lafforgue has proposed a new approach to the principle of functoriality in a test case, namely, the case of automorphic induction from an idele class character of a quadratic extension. For technical reasons, he considers only the case of function fields and assumes the data is unramified. In this paper, we show that his method applies without these restrictions. The ground field is a number field or a function field and the data may be ramified.
A remark on my paper "On the Saito-Kurokawa lifting".
A trace formula for reductive groups. II : applications of a truncation operator
Algebraic Cycles on Compact Shimura Surface.
An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).
An example of Fourier transforms of orbital integrals and their endoscopic transfer.
An inequality for local unitary Theta correspondence
Given a representation of a local unitary group and another local unitary group , either the Theta correspondence provides a representation of or we set . If is fixed and varies in a Witt tower, a natural question is: for which is ? For given dimension there are exactly two isometry classes of unitary spaces that we denote . For let us denote the minimal of the same parity of such that , then we prove that where is the dimension of .
An integral representation of standard automorphic functions for unitary groups.
An integral transform and its applications.
Analyse spectrale et prolongement analytique : séries d’Eisenstein, fonctions et nombre de solutions d’équations diophantiennes