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Answer by John McCarthy for What would a "moral" proof of the Weil...

This is both an answer and a question:As part of a response to a previous question of mine, David Speyer wrote that:... it is known how to adapt Weil's proof of the Riemann hypothesis to higher...

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Answer by Shizhuo Zhang for What would a "moral" proof of the Weil...

I am by no means the expert on algebraic geometry. But maybe I can say a little bit. Kontsevich seems ever wrote a book"Beyond Number" There is one paragraph:“Very often a mathematician considers his...

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Answer by Emerton for What would a "moral" proof of the Weil Conjectures...

I would guess that Grothendieck's envisaged proof, via the standard conjectures, would be "morally right" in Kontsevich's sense. (Although there is the question of how the standardconjectures would be...

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Answer by Harry Gindi for What would a "moral" proof of the Weil Conjectures...

Presumably, Kontsevich is referencing the fact that Deligne used a "trick" to prove the Weil conjectures. Kontsevich is presumably talking about the Grothendieck standard conjectures on algebraic...

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What would a "moral" proof of the Weil Conjectures require?

At the very end of this 2006 interview (rm), Kontsevich says"...many great theorems are originally proven but I think the proofs are not, kind of, "morally right." There should be better proofs...I...

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