The CAP representations of GSp (4, ...).
The conjecture of Langlands and Rapoport for certain Shimura varieties of non-rational weight.
The fundamental lemma of a relative trace formula for
The Kubota symbol for the symplectic group over an imaginary quadratic number field.
The L2-Lefschetz numbers of Hecke operators.
The L-function L3(s, ...) is entire.
The local Jacquet-Langlands correspondence via Fourier analysis
Let be a locally compact non-Archimedean field, and let be a division algebra of dimension 4. The Jacquet-Langlands correspondence provides a bijection between smooth irreducible representations of of dimension and irreducible cuspidal representations of . We present a new construction of this bijection in which the preservation of epsilon factors is automatic. This is done by constructing a family of pairs , where is an order and is a finite-dimensional representation of a certain...
The prime number theorem in short intervals for automorphic L-functions
The residual spectrum of
The restriction to of a supercuspidal representation of
The Selberg trace formula for the Picard group SL(2, Z[i])
The Selberg zeta function and a local trace formula for Kleinian groups.
The Selberg zeta-function for cocompact discrete subgroups of PSL(2,C)
The Symmetric-Square L-Function Attached to a Cuspidal Automorphic Representation of GL3.
The tensor product of exceptional representations on the general linear group
Theta liftings for quasi-split unitary groups.
Third symmetric power -functions for
Towards a stable trace formula.
Towards the Jacquet conjecture on the Local Converse Problem for -adic
The Local Converse Problem is to determine how the family of the local gamma factors characterizes the isomorphism class of an irreducible admissible generic representation of , with a non-archimedean local field, where runs through all irreducible supercuspidal representations of and runs through positive integers. The Jacquet conjecture asserts that it is enough to take . Based on arguments in the work of Henniart and of Chen giving preliminary steps towards the Jacquet conjecture,...
Travaux de Frenkel, Gaitsgory et Vilonen sur la correspondance de Drinfeld-Langlands