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nLab > Latest Changes: arithmetic gauge theory

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  1.  
    • CommentRowNumber1.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Created page.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added mention of Selmer group and Chabauty’s method.

    v1, current

    • CommentRowNumber3.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added related ideas section.

    v1, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 3rd 2022
    • (edited Jul 3rd 2022)

    I have added publication data for

    by typing this:

      * {#Kim18} [[Minhyong Kim]], *Arithmetic Gauge Theory: A Brief Introduction*,  Modern Physics Letters A **33** 29 (2018) 1830012 [[arxiv:1712.07602](https://arxiv.org/abs/1712.07602), [doi:10.1142/S0217732318300124](https://doi.org/10.1142/S0217732318300124)]

    In the text I have replaced

    proposed by Minhyong Kim

    with

    proposed by Kim 2018

    Finally, I have added cross-link with gauge theory.

    diff, v2, current

    • CommentRowNumber5.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added some definitions following the Kim reference.

    diff, v3, current

    • CommentRowNumber6.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Started writing down the example in section 8 of Kim’s survey.

    diff, v4, current

    • CommentRowNumber7.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added localization map.

    diff, v4, current

    • CommentRowNumber8.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added mapping from rational point to gauge field.

    diff, v4, current

    • CommentRowNumber9.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added Kim’s conjecture.

    diff, v4, current

    • CommentRowNumber10.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added relation to L-functions. Might fill out later.

    diff, v4, current

    • CommentRowNumber11.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added links.

    diff, v5, current

    • CommentRowNumber12.
    • CommentAuthorAnton Hilado
    • CommentTimeJul 3rd 2022

    Added in references to Kim’s lectures at SMRI and AWS.

    diff, v5, current

    • CommentRowNumber13.
    • CommentAuthorAnton Hilado
    • CommentTimeAug 3rd 2023

    Added link to Selmer group.

    diff, v6, current

1 to 13 of 13

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