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. 49–77DOI 10.4171/PRIMS/58-1-3