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André Weil and the Hodge Conjecture

21 pointsby 5d agojiahao116.github.io
6 comments
5d agoHN ↗

Two factoids of interest:

1. André was the older brother of philosopher Simone Weil.

2. "Weil" is a jumbled version of "Levi" adopted by some so as to be less conspicuously Jewish, and thus be less likely to be persecuted or discriminated against.

59m agoHN ↗

3. He is not to be confused with Hermann Weyl.

54m agoHN ↗

I wonder if this is a hint to a more-specific rumor. Weil constructed what are now known as "abelian varieties of Weil type". In low dimensions the Hodge conjecture has been proven for abelian varieties of Weil type, but it's open in higher dimensions. Maybe that's where they found their counterexample.

45m agoHN ↗

I wonder if we’ll end up in a weird situation a decade from now, where every conjecture will collapse into one of two states: counterexample found by AI, or assumed to be true.

11m agoHN ↗

Might be a lot faster than you think.

I'm wondering though when we as a society / all the normal money flowing into universicites and research start to recupe and invest AI resources more deliberate.

Like are we working with ai on superconductors (easiest example i have, i don't know enough math).

Whats the most 'math' we need to advance for human progress?

7m agoHN ↗

How does AI's mathematical abilities affect the commercial future of software like Mathematica?