Deligne's First Proof
Verdier (1974), Serre (1975), Katz (1976) and Freitag & Kiehl (1988) gave expository accounts of the first proof Deligne (1974). Much of the background in l-adic cohomology is described in (Deligne 1977).
Deligne's first proof of the Weil conjectures used the following steps:
Read more about this topic: Weil Conjectures
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“The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.”
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