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Maybe. Another possibility for a "Rosetta Stone", or perhaps the Lovecraftian perversion of said stone, comes from the ADE situation [0][1]. Even category theory, that great unifier with its own "Rosetta" tables [2][3], cannot escape; quivers have an ADE property.

Either way, we still don't know what's up with 1728. That will truly unlock everything, I think. Understanding 2, 3, or 5 would be nice; understanding 8 or 12 or 24 would be groundbreaking; but I think understanding 1728 will also be understanding Langlands' programme entire.

[0] https://en.wikipedia.org/wiki/ADE_classification

[1] http://www-groups.mcs.st-andrews.ac.uk/~pjc/talks/boundaries...

[2] http://math.ucr.edu/home/baez/rosetta.pdf

[3] https://ncatlab.org/nlab/show/computational+trinitarianism



What's so special about 1728?


I was thinking it was the Hardy-Ramanujan number [0] but I was off by one.

I'm assuming op is referring to the j- invariant [1], something I've only just discovered.

[0] https://en.wikipedia.org/wiki/1729_(number)

[1] https://en.wikipedia.org/wiki/J-invariant




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