Coefficient Systems and Supersingular Representations of GL_2 (F)

In spite of the recent surge of activity related to the p-adic and mod p Langlands correspondence, not much is known beyond representations of GL2(Qp). In this article the author constructs a finite set of irreducible supersingular p representations of GL2(F) (where F is a finite extension of Qp) admitting central character, which should conjecturally exhaust, up to an unramified twist, all such representations.

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