Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.
Fundamental algebraic geometry , SERIES =
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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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\'Etale Extensions of Unipotent Torsors
Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.
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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.