Abstract
We classify the simple supersingular modules for the pro-p-Iwahori Hecke algebra H of p-adic GL(n) by proving a conjecture by Vigneras about a mod p numerical Langlands correspondence on the side of the Hecke modules. We define a process of induction for H-modules in characteristic p that reflects the parabolic induction for representations of the p-adic general linear group and explore the semisimplification of the standard nonsupersingular H-modules in light of this process.
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