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• CommentRowNumber1.
• CommentAuthorDmitri Pavlov
• CommentTimeDec 30th 2018
• (edited Dec 30th 2018)

This article has a weird claim on top, highlighted in yellow (see the second line):

Redirected from “local Langlands correspondence”.

Note: local Langlands conjecture and local Langlands conjecture both redirect for “local Langlands correspondence”.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeDec 30th 2018

I think I fixed it, by removing a duplicate of the line

  [[!redirects local Langlands correspondence]]

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeDec 30th 2018

(well, I made the error message go away. But it remains true that this error message was weird.)

1. I agree that the error message is confusing! It comes from Instiki. Eventually I will move the handling of redirects out of the old Instiki.

• CommentRowNumber5.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 28th 2021

It is curious that our quest was to understand the local Langlands correspondence in an arithmetic setting, for potentially very ramified representations, and eventually we solved it by relating it to the global Langlands correspondence in a geometric setting, in the everywhere unramified setting.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeFeb 28th 2021

You have a lonely “For” above the reference. Probably some comment intended but missing.

• CommentRowNumber7.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 28th 2021

Oh yes, I was going to find something pithy to say, but then forgot. I’ll add

For an approach via the Fargues–Fontaine curve

We’ve discovered at least that this paper uses the tangent $(\infty, 1)$-topos to condensed spaces, from this MO answer.

There’s probably still a world to tap into of condensed differential cohesion, but perhaps that will have to wait.