1, Riemann conjecture:
Riemann conjecture is a conjecture about the zero distribution of Riemann zeta function zeta (s). [Bai] was put forward by mathematician bernhard Riemann in 1859. Riemann conjecture is not as famous as Fermat conjecture and Goldbach conjecture, but its importance in mathematics far exceeds the latter two, and it is the most important mathematical problem in mathematics today.
2.NP complete problem:
The NP-complete problem can be said to be a complex mathematical problem. Simply put, all the uncertainty problems of complete polynomials can be transformed into logical operation problems, which are called satisfiability. Mathematicians want to know if there is any certainty.
3, Hodge conjecture:
Hodge conjecture can be said by almost all mathematicians. The expression of conjecture can bind specific object shapes together while increasing dimensions, which seems very clever, but in the actual operation process, components without geometric explanation must be added.
4, poincare conjecture:
Poincare conjecture has been put forward for a long time. [White] Guess mentioned that if you keep pulling a rubber band and then let it move slowly and expand into a point, it is very difficult to prove all the problems in a three-dimensional sphere or a four-dimensional space far from the origin.
5. Naville-Stokes equation;
This mathematical problem was originally used by mathematicians to study whether in breeze or turbulence, Naville-Stoke equation can be used to make corresponding data solutions, but so far few people can fully understand Naville-Stoke equation, and the substantive progress of some theories is very subtle.
6.BSD conjecture:
BSD conjecture, the full name of Behr and Swinaton-Dale conjecture, describes the relationship between the arithmetic properties and analytical properties of Abelian clusters.
7, Euclid's fifth postulate:
Euclid's fifth postulate: two straight lines on the same plane intersect with the third straight line. If the sum of two internal angles on one side is less than two right angles, then the two straight lines must intersect on this side. Because it is equivalent to parallel axiom, it is also called Euclidean parallel postulate, or parallel postulate for short.