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:

    “I am not a Catholic; but I consider the Christian idea, which has its roots in Greek thought and in the course of the centuries has nourished all of our European civilization, as something that one cannot renounce without becoming degraded.”
    —Simone Weil (1909–1943)

    “There is something fascinating about science. One gets such wholesale returns of conjecture out of such a trifling investment of fact.”
    —Mark Twain [Samuel Langhorne Clemens] (1835–1910)