Rampage six weeks in

When we first discussed the idea of running a weekly online seminar on p-adic geometry, I figured there would be around 30 or so participants at each talk. It’s a bit crazy, then, that the audience for the first six RAMpAGe talks has ranged from 80 to over 225 people. A huge thanks to everyone for their participation and interest! We have many more excellent speakers in store for you! If you have any feedback for us, please don’t hesitate to get in contact.

Two more points:

  1. We are doing our best to post notes and videos (at the speakers’ discretion) for each talk on the seminar website linked above. Hopefully we will post notes for every talk!
  2. Bogdan Zavyalov planned to mention the sad case of Azat Miftakhov at the end of his talk. Due to the extended mathematical discussion, this ended up not happening, so I am mentioning it here instead. Please please go here and read more.

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!