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Automorphy lifting for residually reducible 𝑙-adic Galois representations

Automorphy lifting for residually reducible \(l\)-adic Galois representations
Authors: Thorne, JA;

Automorphy lifting for residually reducible 𝑙-adic Galois representations

Abstract

We prove automorphy lifting theorems for residually reducible Galois representations in the setting of unitary groups over CM fields. Our methods are inspired by those of Skinner-Wiles in the setting of GL 2 \mbox {GL}_2 .

Country
United Kingdom
Related Organizations
Keywords

Galois representations, Deformations and infinitesimal methods in commutative ring theory, 4903 Numerical and Computational Mathematics, universal deformation ring, 49 Mathematical Sciences, \(l\)-adic Galois representations, 4904 Pure Mathematics, automorphic representation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
Green
hybrid