# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTime7 days ago

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

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTime7 days ago

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

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.