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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2019

    Preprint today by Yau et al., relating pp-adic strings to the Riemann zeta function:

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2019

    added more references. Should add some pointer to Bruhat-Tits trees. But no time now.

    diff, v9, current

  1. So this is developing the open bosonic corner you mention in the penultimate paragraph of your MO question?

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTime7 days ago

    Yes.

    It sounds rather striking what they say about Riemann zeta zeros corresponding to the adelic string spectrum. But I haven’t had time yet to try to absorb it.

  2. Yes, quite something if some aspect of the Riemann hypothesis emerges from one corner of a “more general number theoretic and homotopy-theoretic refinement of string scattering amplitudes”.

    Is there anything deep in mathematics not touched by string/M-theory?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTime6 days ago
    • (edited 6 days ago)

    One thing I haven’t appreciated before is how a Bruhat-Tits building here serves as the disk-shaped worldsheet of the open string.

    I have no idea how this relates to taking elliptic curves over arbitrary rings as closed string vacuum diagrams, as it happens in the construction of the string orientation of tmf.

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTime6 days ago
    • (edited 6 days ago)

    To associate some fog with more fog, I wonder if topological Langlands is about here, relating arithmetic to homotopy theory. I see it gets a mention in Eric Peterson’s new book Formal Geometry and Bordism Operations footnote 18, p. 361.

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