We construct the compatible system of l-adic representations associated to a regular
algebraic cuspidal automorphic representation of GL_n GL n over a CM (or totally real) field …

In this paper, we prove new results on the geometry of the cuspidal eigenvariety for
$\mathrm {GL} _ {2n} $ over a totally real number field $ F $ at classical points admitting …

We show that the classical Koecher's principle for holomorphic Siegel modular forms
generalizes to all PEL-type cases, in mixed characteristics and for all vector-valued weights …

We construct p-adic triple product L-functions that interpolate (square roots of) central critical
L-values in the balanced region. Thus, our construction complements that of Harris and …

We construct $ p $-adic $ L $-functions associated with $ p $-refined cohomological
cuspidal Hilbert modular forms over any totally real field under a mild hypothesis. Our …

Let F be a totally real number field and let p be a prime unramified in F. We prove the
existence of Galois pseudo-representations attached to mod⁡ pm Hecke eigenclasses of …

Let K be a finite extension of ℚ p and let Γ be the Galois group of the cyclotomic extension of
K. Fontaine's theory gives a classification of p-adic representations of Ga (K¯/K) in terms of …

Let f be a primitive Hilbert modular form of parallel weight 2 and level N for the totally real
field F, and let p be a rational prime coprime to 2 N. If f is ordinary at p and E is a CM …

Let K be ap-adic local field. We study a special kind of p-adic Galois representations of it.
These representations are similar to the Galois representations occurred in the exceptional …

On montre que la variété de Hecke associée aux formes de Hilbert sur un corps totalement
réel F est lisse aux points correspondant à certaines séries thêta de poids 1 et on donne …