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math.NT2025
An introduction to the categorical p-adic Langlands program
Matthew Emerton, Toby Gee, Eugen Hellmann
We give an introduction to the "categorical" approach to the p-adic Langlands program, in both the "Banach" and "analytic" settings.
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…