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Degeneration of monodromy in the theory of Eisenstein congruences for classical groups
Sam Mundy
We give a new Hecke-theoretic method to control the growth of monodromy in -adic families of automorphic Galois representations for unitary groups and quasisplit classical group…
A vanishing theorem for residual Eisenstein cohomology
Sam Mundy
We study the residual Eisenstein cohomology of semisimple groups in the context of maximal parabolic subgroups which remain maximal over . Under certain general hypothe…
On the Bernstein-Zelevinsky classification and epsilon factors in families
Sam Mundy
We define a certain Hecke theoretic notion of family of smooth admissible representations of , or of products of such groups, where is a nonarchimedean local field of…
Multiplicity of Eisenstein series in cohomology and applications to and
Sam Mundy
We set up a general framework to compute the exact multiplicity with which certain automorphic representations appear in both the cuspidal and Eisenstein cohomology of locally symm…