In spring 1985, physicist Edward Witten gave a lecture at Princeton about a new theory of the universe based on superstrings. The hall was full, but most people found the mathematics difficult to understand.
After the lecture, the audience had many questions: What exactly is a
Sat down with the @theallinpod podcast for an interview about science and science policy while on a recent trip to Washington DC.
Our episode just dropped. You can check it out here:
The current claim of an honest integrable complex structure on "almost complex" S^6 = G_2/SU(3)...will be the first MAJOR result in an area to which I am somewhat close.
Again, it's really a counter example to the conjecture that there is no way of 'ironing out' the almost
Almost all of these AI counterexamples are in subfields far away from where I have any intuition. So I don't have a great feel yet for what this all means.
But in my experience, a justly famous structural conjecture in a central field of pure mathematics is like a missing puzzle
I’m stunned.
“Does G_2/SU(3) = S^6 admit an upgrade from almost complex to honest complex structure? “
This problem is part of an orphaned cluster of octonionic sphere transitive phenomena involving G_2, and Spin(n! For the values n=7,8 and 9.
To put it in a setting. It’s
Please welcome to the world a beautiful new geometric object, to do with a problem i’ve always loved. claude really contains multitudes:D Does S^6 admit a complex structure?
Yup
