3 papers
math.NT2024
Patching and multiplicities of p-adic eigenforms
Eugen Hellmann, Valentin Hernandez, Benjamin Schraen
We prove the existence of non-classical -adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in variables. These eigenform…
math.AG2020
On the geometry of the Pappas-Rapoport models for PEL Shimura varieties
Stéphane Bijakowski, Valentin Hernandez
We study integral models, so-called Pappas-Rapoport or splitting models, of some PEL Shimura Varieties whose data are ramified at a prime p. We show that except in a specific case,…
math.NT2019
Families of coherent PEL automorphic forms
Valentin Hernandez
We construct Eigenvarieties for PEL Shimura varieties which interpolate cuspidal, finite slope automorphic forms for PEL Shimura varieties appearing as global sections of (coherent…