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arXiv · 1509.02960

Local Galois representations of Swan conductor one

Naoki Imai·Takahiro Tsushima
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Abstract

We construct the local Galois representations over the complex field whose Swan conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over finite fields. Then, we study the Galois representations, and give an explicit description of the local Langlands correspondences for simple supercuspidal representations. We discuss also a more natural realization of the Galois representations in the etale cohomology of Artin-Schreier varieties.

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Naoki Imai, Takahiro Tsushima. 2015-09-09. Local Galois representations of Swan conductor one. https://doi.org/10.2140/pjm.2023.326.37

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