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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.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…