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zbMATH Open
Article . 2004
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2002
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Galois representations

Galois representations.
Authors: Taylor, Richard;

Galois representations

Abstract

In the first part of this paper we try to explain to a general mathematical audience some of the remarkable web of conjectures linking representations of Galois groups with algebraic geometry, complex analysis and discrete subgroups of Lie groups. In the second part we briefly review some limited recent progress on these conjectures.

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Keywords

11F80, Representation-theoretic methods; automorphic representations over local and global fields, Mathematics - Number Theory, Galois representations, \(L\)-functions, Research exposition (monographs, survey articles) pertaining to number theory, FOS: Mathematics, Number Theory (math.NT), modularity, Langlands-Weil conjectures, nonabelian class field theory

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    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
33
Top 10%
Top 10%
Average
Green
gold