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Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
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Examples of major theorems with very hard proofs that have not dramatically improved over time
I'm a bit surprised not to see the Weil conjectures here since their proof by Deligne is so often mentioned as a primary example of something Very Hard. Is there a more simple recent proof that I have …