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SherlockSage

1 karma · joined March 4, 2023

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SherlockSage··on Echoes of Electromagnetism Found in Number Theory
First, what a fascinating article on a truly exciting prospect!

Second, I hope that at some point, it will be explained further what the differences between the 'original', 'arithmetic', and 'geometric' Langlands programs are. I'm not entirely sure which objects are which here, and I think such an explanation will be illuminating for the reader (especially if the Langlands dualities or programs continue to be fruitful and multiply into yet more regions of math).

Third, I wish the authors and reviewers the very best of luck reviewing 451 pages of manuscript, which just on the face of it sounds like a daunting task.

Fourth, I hope to hear further updates on this as mathematicians chew this news and this work over.

SherlockSage··on 20M digits of pi in 1 minute using Julia
I ran the following in my Julia REPL

julia> @time BigFloat(π, precision=20000000); 11.208211 seconds (60.53 k allocations: 2.932 GiB, 0.16% gc time)

Which is pretty good considering I ran this in WSL on my laptop and Mathematica in a different comment took 10 seconds. (Plain Windows took ~26 seconds for some reason?)