Langlands program for $p$-adic coefficients and the petites camarades conjecture

Details Langlands program for $p$-adic coefficients and the petites camarades conjecture Langlands program for $p$-adic coefficients and the petites camarades conjecture

2011-11-10

arxiv.org/abs/1111.2479v1

Mathematics

Algebraic Geometry

Scientific paper

In this paper, we prove that, if Deligne's "petites camarades conjecture"
holds, then a Langlands type correspondence holds also for $p$-adic
coefficients on a smooth curve over a finite field. We also prove that any
overconvergent $F$-isocrystal of rank less than or equal to 2 on a smooth
variety is $\iota$-mixed.

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