We classify the automorphic representations (over number fields) and the irreducible
admissible representations (over local fields) of unitary groups which are not quasi-split …

Let F be a non-archimedean local field. We establish the local Langlands correspondence
for all inner forms of the group SL _n (F) SL n (F). It takes the form of a bijection between, on …

In this paper we investigate arithmetic properties of automorphic forms on the group G'= GL
m/D, for a central division-algebra D over an arbitrary number field F. The results of this …

Let π be a cuspidal automorphic representation of PGL (2 n) over a number field F, and η the
quadratic idèle class character attached to a quadratic extension E/F. Guo and Jacquet …

We study various moduli spaces of local Shtukas in the setting of Fargues' program for $
GL_n $. In certain cases, this gives us an explicit description of the spectral action which was …

Residues of Eisenstein series and the automorphic cohomology of reductive groups Page 1
COMPOSITIO MATHEMATICA Residues of Eisenstein series and the automorphic …

Let $ G $ be the $ F $-points of a classical group defined over a $ p $-adic field $ F $ of
characteristic $0 $. We classify the irreducible unitarizable representation of $ G $ that are …

We provide a uniform estimate for the $ L^ 1$-norm (over any interval of bounded length) of
the logarithmic derivatives of global normalizing factors associated to intertwining operators …

The instructor of an introductory course on automorphic representations, the student
beginning their foray into the subject, and the experienced mathematical researcher in …

We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-
Ikeda conjecture to the case of some Eisenstein series on unitary groups $ U_n\times U_ {n+ …