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math.NT2020★ 4 cited
Infinitesimal characters in arithmetic families
Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen
We associate infinitesimal characters to (twisted) families of -parameters and -parameters of -adic reductive groups. We use the construction to study the action of the ce…
math.NT2020
Congruences of algebraic automorphic forms and supercuspidal representations
Jessica Fintzen, Sug Woo Shin
Let be a connected reductive group over a totally real field which is compact modulo center at archimedean places. We find congruences modulo an arbitrary power of p betwee…