Famous Conjectures
- The P versus NP problem
- Beal's conjecture
- The Poincaré 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.
Read more about this topic: Conjecture
Famous quotes containing the words famous and/or conjectures:
““Why visit the playhouse to see the famous Parisian models, ... when one can see the French damsels, Norma and Diana? Their names have been known on both continents, because everything goes as it will, and those that cannot be satisfied with these must surely be of a queer nature.””
—For the City of New Orleans, U.S. public relief program (1935-1943)
“Our conjectures pass upon us for truths; we will know what we do not know, and often, what we cannot know: so mortifying to our pride is the base suspicion of ignorance.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)