Conjecture - Famous Conjectures

Famous Conjectures

  • The P versus NP problem
  • Beal's conjecture
  • The PoincarĂ© theorem (proven by Grigori Perelman)
  • Goldbach's conjecture
  • The Riemann hypothesis
  • The Collatz conjecture
  • The Maldacena conjecture

The Langlands program is a far-reaching web of these ideas of 'unifying conjectures' that link different subfields of mathematics, e.g. number theory and representation theory of Lie groups; some of these conjectures have since been proved.

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Famous quotes containing the words famous and/or conjectures:

    Lizzie Borden took an axe
    And gave her mother forty whacks;
    When she saw what she had done,
    She gave her father forty-one.
    —Anonymous. Late 19th century ballad.

    The quatrain refers to the famous case of Lizzie Borden, tried for the murder of her father and stepmother on Aug. 4, 1892, in Fall River, Massachusetts. Though she was found innocent, there were many who contested the verdict, occasioning a prodigious output of articles and books, including, most recently, Frank Spiering’s Lizzie (1985)

    After all, it is putting a very high price on one’s conjectures to have a man roasted alive because of them.
    Michel de Montaigne (1533–1592)