1. Riemann Conjecture Riemann Conjecture is a conjecture about the distribution of zeros of Riemann ζ function ζ(s), which was proposed by mathematician Bornhard Riemann in 1859. Although in popularity, Riemann's conjecture is less than Fermat's conjecture and Goldbach's conjecture, but it is far more important in mathematics than the latter two, is the most important mathematical problem in mathematics today.
2.NP-complete problem The NP-complete problem can be said to be a very complicated-sounding mathematical problem. Simply speaking all complete polynomials in non-deterministic problems can be transformed into a logical operation problem called satisfiability, and mathematicians conjecture whether there is a deterministic counting large or not.
3. Hodge conjecture Hodge conjecture can be said does almost all mathematicians, conjecture expression can be specific object shape, in increasing the number of dimensions when glued together to form, seemingly very clever, but in the actual process of operation must be added without geometric interpretation of the components.
4.Poncelet's conjecture Pongare conjecture has been proposed for a long time, conjecture mentioned that if you keep pulling a rubber band, and then let it slowly move in the stretch for a point, the final proof of the three-dimensional sphere or four-dimensional space and the origin of the distance of all the problems, is simply very difficult.
5. Navier-Stokes equations This mathematical problem was originally used by mathematicians to study whether in the breeze or in turbulence and other situations, can be made with the equations of Navier-Stokes corresponding data answers, but to date can fully understand the Navier-Stokes equations of few people, and some of the theory of the substance of the progress is very subtle.
6. BSD Conjecture The BSD conjecture, fully known as the Behe and Swinerton-Dale conjecture, describes the connection between the arithmetic and analytic properties of Abelian clusters.
7. Euclid's fifth axiom Euclid's fifth axiom: If two lines in the same plane intersect with a third line, the two lines must intersect on this side if the sum of the two interior angles on one side is less than two right angles. Because it is equivalent to the parallel axiom, it is also known as Euclid's parallel axiom, or the parallel axiom for short.
