ON NONCRITICAL GALOIS REPRESENTATIONS

Bingyong Xie

doi:10.1017/S1474748021000268

ON NONCRITICAL GALOIS REPRESENTATIONS

Bingyong Xie^*

^*Corresponding author for this work

School of Mathematical Sciences

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

Abstract

We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park's conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.

Original language	English
Pages (from-to)	383-420
Number of pages	38
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	22
Issue number	1
DOIs	https://doi.org/10.1017/S1474748021000268
State	Published - 22 Jan 2023

Keywords

Galois representations
L-invariants

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10.1017/S1474748021000268

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title = "ON NONCRITICAL GALOIS REPRESENTATIONS",

abstract = "We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park's conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.",

keywords = "Galois representations, L-invariants",

author = "Bingyong Xie",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2021. Published by Cambridge University Press.",

year = "2023",

month = jan,

day = "22",

doi = "10.1017/S1474748021000268",

language = "英语",

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N1 - Publisher Copyright: © The Author(s), 2021. Published by Cambridge University Press.

PY - 2023/1/22

Y1 - 2023/1/22

N2 - We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park's conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.

AB - We propose a conjecture that the Galois representation attached to every Hilbert modular form is noncritical and prove it under certain conditions. Under the same condition we prove Chida, Mok and Park's conjecture that Fontaine-Mazur L-invariant and Teitelbaum-type L-invariant coincide with each other.

KW - Galois representations

KW - L-invariants

UR - https://www.scopus.com/pages/publications/85111096620

U2 - 10.1017/S1474748021000268

DO - 10.1017/S1474748021000268

M3 - 文章

AN - SCOPUS:85111096620

SN - 1474-7480

VL - 22

SP - 383

EP - 420

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

IS - 1

ER -

ON NONCRITICAL GALOIS REPRESENTATIONS

Abstract

Keywords

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