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ON NONCRITICAL GALOIS REPRESENTATIONS

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  22 July 2021

Bingyong Xie Open the ORCID record for Bingyong Xie [Opens in a new window]
Bingyong Xie*
Affiliation:
Department of Mathematics, East China Normal University, Shanghai, China (byxie@math.ecnu.edu.cn)
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Abstract

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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 representationsL-invariants

MSC classification

Primary: 11F80: Galois representations
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 1 , January 2023 , pp. 383 - 420
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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