4 ms·
Maybe. Another possibility for a "Rosetta Stone", or perhaps the Lovecraftian perversion of said stone, comes from the ADE situation [0][1]. Even category theor
by lidHanteyk 7y ago
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 https://en.wikipedia.org/wiki/ADE_classification
[1] http://www-groups.mcs.st-andrews.ac.uk/~pjc/talks/boundaries/ade2.pdf http://www-groups.mcs.st-andrews.ac.uk/~pjc/talks/boundaries...
[2] http://math.ucr.edu/home/baez/rosetta.pdf http://math.ucr.edu/home/baez/rosetta.pdf
[3] https://ncatlab.org/nlab/show/computational+trinitarianism https://ncatlab.org/nlab/show/computational+trinitarianism
- MrQuincle 7y agoWhat's so special about 1728?
- healsjnr1 7y agoI 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) https://en.wikipedia.org/wiki/1729_(number) [1] https://en.wikipedia.org/wiki/J-invariant https://en.wikipedia.org/wiki/J-invariant