For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
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A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.
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Non-admissibility of some universal supersingular representations
For n greater than or equal to 3 and sufficiently generic weights, the universal supersingular representation of GL_n(k) is non-admissible and of infinite length.
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What is the Geometric Langlands Correspondence about?
A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.