Autocorrect doesn’t know math

The autocorrect feature in Gmail has the unfortunate but hilarious habit of vigorously changing standard math terms into free-associative nonsense.  Here are some highlights (and I might add to this list from time to time):

  • “Igusa varieties” -> “Iguana varieties”
  • “Zariski topology” -> “Czarist topology”
  • “Gelfand spectrum” -> “Gelatin spectrum”
  • “cokernel” -> “cockerel” (my favorite so far)

Hodge-Newton paradise

I just posted a new version of my preprint on local shtukas and Harris’s conjecture.  To be clear, the goal of this paper is to make good on the optimism I expressed in this previous post.  This project has been one of the most intense mathematical experiences of my life, and I hope to write a proper blog post about it soon.

Anyway, the paper should basically be stable at this point, with the exception that \S4.3 will probably be rewritten to some degree once Peter’s six-functors book is done.  The only real difference from the the first version is that the material around the “pointwise criterion” in \S2.2 has been streamlined and clarified a bit.  All comments, questions or corrections are very welcome!