Locally analytic vectors in the completed cohomology of GL_n over CM fields admit infinitesimal characters determined by Sen operators of associated Galois representations, confirming the Dospinescu-Paškūnas-Schraen conjecture in this case.
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Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
Locally analytic vectors in the completed cohomology of GL_n over CM fields admit infinitesimal characters determined by Sen operators of associated Galois representations, confirming the Dospinescu-Paškūnas-Schraen conjecture in this case.