JournalsprimsVol. 58, No. 1pp. 49–77

Geometric Realization of the Local Langlands Correspondence for Representations of Conductor Three

  • Naoki Imai

    The University of Tokyo, Japan

  • Takahiro Tsushima

    Chiba University, Japan
Geometric Realization of the Local Langlands Correspondence for Representations of Conductor Three cover
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Abstract

We prove a realization of the local Langlands correspondence for two-dimensional representations of a Weil group of conductor three in the cohomology of Lubin–Tate curves by a purely local geometric method.

Cite this article

Naoki Imai, Takahiro Tsushima, Geometric Realization of the Local Langlands Correspondence for Representations of Conductor Three. Publ. Res. Inst. Math. Sci. 58 (2022), no. 1, pp. 49–77

DOI 10.4171/PRIMS/58-1-3