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:

    “Nelson’s famous signal before the Battle of Trafalgar was not: “England expects that every man will be a hero.” It said: “England expects that every man will do his duty.” In 1805 that was enough. It should still be.”
    —Johan Huizinga (1872–1945)

    “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)