Weil Conjecture

The term Weil conjecture may refer to:

  • The Weil conjectures about zeta functions of varieties over finite fields, proved by Dwork, Grothendieck, Deligne and others.
  • The Taniyama-Shimura-Weil conjecture about elliptic curves, proved by Wiles and others.
  • The Weil conjecture on Tamagawa numbers about the Tamagawa number of an algebraic group, proved by Kottwitz and others.
  • The Hasse–Weil conjecture about zeta functions.

Famous quotes containing the words weil and/or conjecture:

    “The payment of debts is necessary for social order. The non-payment is quite equally necessary for social order. For centuries humanity has oscillated, serenely unaware, between these two contradictory necessities.”
    —Simone Weil (1909–1943)

    “What these perplexities of my uncle Toby were,—’tis impossible for you to guess;Mif you could,—I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,—I would tear it out of my book.”
    —Laurence Sterne (1713–1768)