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

Naoki Imai; Takahiro Tsushima

doi:10.4171/PRIMS/58-1-3

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

Naoki Imai
, Takahiro Tsushima

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	49-77
ページ数	29
ジャーナル	Publications of the Research Institute for Mathematical Sciences
巻	58
号	1
DOI	https://doi.org/10.4171/PRIMS/58-1-3
出版ステータス	Published - 2022
外部発表	はい

ASJC Scopus subject areas

数学一般

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10.4171/PRIMS/58-1-3

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title = "Geometric Realization of the Local Langlands Correspondence for Representations of Conductor Three",

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{\textendash}Tate curves by a purely local geometric method.",

keywords = "Epsilon factor, Local Langlands correspondence, Lubin{\textendash}Tate space",

author = "Naoki Imai and Takahiro Tsushima",

year = "2022",

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AU - Imai, Naoki

AU - Tsushima, Takahiro

PY - 2022

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N2 - 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.

AB - 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.

KW - Epsilon factor

KW - Local Langlands correspondence

KW - Lubin–Tate space

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UR - https://www.scopus.com/pages/publications/85125090639#tab=citedBy

U2 - 10.4171/PRIMS/58-1-3

DO - 10.4171/PRIMS/58-1-3

M3 - Article

AN - SCOPUS:85125090639

SN - 0034-5318

VL - 58

SP - 49

EP - 77

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

IS - 1

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

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