The Geometry of Schemes [pdf]

(webhomes.maths.ed.ac.uk)

46 points | by measurablefunc 6 days ago ago

12 comments

  • bubblyworld 2 hours ago

    Why is this on the front page of hacker news? Hopefully that comes across as a genuine question and not snark. I mean as an ex-mathematician I'm thrilled, but schemes are an incredibly abstract object used in an incredibly abstract branch of mathematics (algebraic geometry).

    • nhatcher 2 hours ago

      I have the same question in my mind. Also thrilled though. I think there is a genuine fascination in HN and in general with Grothendieck [1], [2].

      [1]: https://en.wikipedia.org/wiki/Alexander_Grothendieck [2]: https://hn.algolia.com/?q=Grothendieck

      • bubblyworld an hour ago

        Interesting, yeah. I guess he was the mathematical equivalent of the "rogue" archetype. Brilliant, did things in his own way, total lack of respect for authority, shrouded in mystery. I can definitely see the appeal =)

    • ssivark an hour ago

      Sometimes, the best way to learn about abstruse topics one has a passing curiosity in is to upvote what pops up on HN and hope that some nerd might drop by and comment with a simplified intuitive picture for plebs :-)

      • gsf_emergency_4 18 minutes ago

        These days, some nerds prefer to ask AI to confirm their (somewhat hard-earned) intuitive picture of why schemes were needed in the first place. To fix the problems with certain basic geometric notions of old timers? They are then so spooked that the AI instantly validates those intuitions without any relevant citations whatsoever that they decide not to comment :(

        But still leave a hint to gung-ho nerds in the form of low-code exercises:

        • bubblyworld 9 minutes ago

          That's a theory, but I think it's more likely that the few people in the world who deeply understand schemes are locked in the basement of a mathematics department somewhere, and not on hacker news =P

          • gsf_emergency_4 3 minutes ago

            Ah those who just camp in said basements might still be on HN then

  • gsf_emergency_4 9 hours ago

    Teach biologists that?

    https://web.archive.org/web/20250115224532/http://www.dam.br...

    https://golem.ph.utexas.edu/category/2014/12/can_one_explain...

    https://liorpachter.wordpress.com/2014/12/30/the-two-culture...

    (2014)

    With someone actually trying in 2002, using TFB for inspiration & M2 as a very early Jupyter/sage

    https://web.archive.org/web/20250000000000*/https://mast.que...

    (These bloggers as well as creator of M1 may want to chip in a dozen cts)

  • pixelpoet 8 hours ago

    What's up with the raccoon on page 67?

    • sam1r 8 hours ago

      oh yeah! that is insane.

    • binarycrusader 6 hours ago

      Pretty sure that's a ferret.

  • SherryMarcini 7 hours ago

    The raccoon has ruined this for me…