Category Theory and the Riemann Hypothesis

  • #1
YouTube has been suggesting videos about category theory of late, and I have spent some time skimming through them, without really understanding where it's all going.

A question came to mind, namely:
It seems reasonably conceivable that group theory could perhaps supply a vital key to the Riemann Hypothesis. In a similar sense, is it plausible that a unique and crucial key to the RH might come from category theory? Or is it the case that "category theory just doesn't do that stuff" ?
 
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Answers and Replies

  • #2
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Category theory just doesn't do that stuff.

It looks for patterns which are common across different categories regardless their specific definitions. I do not see any connection between RH and group theory, not do I between RH and category theory. The questions are quite diametrical: prove a certain property of a certain complex function versus which properties have groups, rings, modules, and sets in common?
 
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Likes nuuskur and (deleted member)
  • #3
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It would be interesting to note that differentiation can be used as an operator for functions of R, while integrating the operand would mean taking the inverse of the operand.
 
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