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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	49-77
Number of pages	29
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	58
Issue number	1
DOIs	https://doi.org/10.4171/PRIMS/58-1-3
Publication status	Published - 2022
Externally published	Yes

Keywords

Epsilon factor
Local Langlands correspondence
Lubin–Tate space

ASJC Scopus subject areas

General Mathematics

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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",

doi = "10.4171/PRIMS/58-1-3",

language = "English",

volume = "58",

pages = "49--77",

journal = "Publications of the Research Institute for Mathematical Sciences",

issn = "0034-5318",

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T1 - Geometric Realization of the Local Langlands Correspondence for Representations of Conductor Three

AU - Imai, Naoki

AU - Tsushima, Takahiro

PY - 2022

Y1 - 2022

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

UR - https://www.scopus.com/pages/publications/85125090639

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

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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