Analytic Stacks

This is an attempt to crowd-source notes for the Clausen-Scholze course on Analytic Stacks.

I downloaded the (auto-generated) YouTube captions, ran them through ChatGPT/Anthropic to clean them up, and they now need to be corrected and edited by humans.

These notes are not endorsed by either Clausen or Scholze; any errors are solely the fault of the transcribers. Sections in red were auto-generated from the captions and have not yet been cleaned up by humans.

Contributing

• clone the repo, make your changes, then make a Pull Request to this repo

• Look at 15-stacks.tex for an example of how to format the notes. In particular, add displaymath \[\], \begin{example} environments, etc.

• check this thread to make sure no one else is working on the lecture you want to do. Add a comment to say that you're working on that lecture

• for the section you choose, watch the original video and edit the text as you follow along. (You can watch at 1.5x or 2x speed.) Note that some parts of the transcript may be missing!

• this is very time-consuming—you don't have to do an entire lecture! A chunk of 20 minutes is helpful. However, start from the earliest unfinished text and move the \begin{unfinished}{time} marker down.

• when an erroneous statement is made, and corrected later in the lecture, record the corrected statement (but add a Remark if the subtlety is interesting)

• take a look in macros.tex to see what macros are already available

• use \note{} to add notes like if you didn't hear something

• use the \yt{} macros to create links to moments in the video (warning: don't do this for \subsection{}, it currently breaks the links in the TOC)

• add citations where possible, use \citeme for things to flag to come back to

• once you finish as much as you're going to do, update or remove your comment from this thread so that others can pick up where you left off