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In mathematics, the Weil conjectures were some highly influential proposals by André Weil on the generating functions (known as local zeta-functions) derived from counting the number of points on algebraic varieties over finite fields.
- There can be no doubt that proving the Weil conjectures was the ultimate goal that Grothendieck had in mind with his reconstruction of algebraic geometry.
- Like Moses, André Weil caught sight of the Promised Land, but unlike Moses, he was unable to cross the Red Sea on dry land, nor did he have an adequate vessel.
- Cartier, Pierre (14 August 2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")", in Cartier, Pierre; Charraud, Nathalie (in French), Réel en mathématiques-psychanalyse et mathématiques, Editions Agalma, English translation: A country of which nothing is known but the name Grothendieck and "motives".