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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2014
    • (edited Sep 24th 2014)

    added pointer to

    • Tom Lovering, Etale cohomology and Galois Representations, 2012 (pdf)

    for review of how Galois representations are arithmetic incarnations of local systems/flat connections. Added the same also to local system and maybe elsewhere.

    • CommentRowNumber2.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 22nd 2022

    Added section on continuous Galois representations and added p-adic Hodge theory under related concepts.

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 22nd 2022

    Added section on p-adic Galois representations, and added Langlands correspondence under related concepts.

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 22nd 2022

    Added examples section.

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 22nd 2022
    I am not sure I am in favor of the request to merge this article with "Galois module"; while it is true that Galois representations are a special case of Galois modules, I think there is enough content pertaining only to this special case that it does deserve its own article.
    • CommentRowNumber6.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 22nd 2022

    Added conjectures section.

    diff, v7, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 23rd 2022
    • (edited Nov 23rd 2022)

    Re #5, in which case the Idea section should be more self-contained and not require the reader to follow the links.

    • CommentRowNumber8.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 23rd 2022

    Expanded the idea section to contain a definition, without having to redirect to the article on Galois modules. Mentioned Galois modules as a generalization.

    diff, v8, current

    • CommentRowNumber9.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 23rd 2022

    Added Serre’s modularity conjecture.

    diff, v8, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeNov 23rd 2022

    Hi Anton, thanks for all your work!

    I have removed that suggestion to merge the entries.

    diff, v9, current

    • CommentRowNumber11.
    • CommentAuthorAnton Hilado
    • CommentTimeNov 23rd 2022

    Added meaning of “odd” in the statement of Serre’s modularity conjecture.

    diff, v10, current

    • CommentRowNumber12.
    • CommentAuthorAnton Hilado
    • CommentTimeDec 1st 2022

    Wrote up the modern forumaltion of the weight part of Serre’s conjecture in terms of Serre weights, and gave Gee-Herzig-Savitt as reference.

    diff, v11, current

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