Chapter 317 (1/2)

In his famous speech at the Second World Congress of mathematicians held in Paris on August 8, 1900, David Hilbert put forward 23 mathematical problems.

In the past hundred years, Hilbert problem has inspired the wisdom of mathematicians and guided the direction of mathematics. Its influence and promotion on the development of mathematics is enormous and immeasurable.

Since the beginning of the 21st century, the Scientific Advisory Committee of Cray Institute of mathematics has selected seven ”Millennium award questions”.

Although Cray Institute of mathematics does not have the unique appeal in mathematics as Hilbert did more than 100 years ago. It is estimated that even if the ”seven Millennium prize questions” are put forward, it is estimated that not many mathematicians in the world are keen to solve them, but They have money!

The board of directors of the Cray Institute of mathematics decided to set up a $7 million grand prize fund. Each solution to the ”Millennium prize problem” will receive a $1 million award.

Those top mathematicians may not care about this small amount of money, but there are a few mathematicians who are rich and regard money as dirt.

So Countless mathematicians regard these seven Millennium mathematical problems as their lifelong goals. However, it has been 20 years since the issue of the Millennium prize was proposed. However, the only problem that has been solved is the Poincare conjecture. The rest, however, is rather slow.

Seven centuries ago, it's still unclear whether the grand prize will be solved in the next half of the century.

……

The seven Millennium prize problems are: NP complete problem, Hodge conjecture, Poincare conjecture, Riemann hypothesis, Yang mills existence and quality gap, Navier stoke equation and BSD conjecture.

Obviously, the BSD conjecture mentioned by Professor Fang is naturally listed here.

Facing Professor Fang's inquiry, Cheng Nuo nodded.

As such a famous problem of seven Millennium awards in mathematics, Cheng Nuo has no reason to be unclear.

”Yes, the BSD conjecture, the full name of which is the Borch and Swinnerton Daya conjecture.”

The conjecture is: let e be an elliptic curve defined on an algebraic number field K, e (k) be a set of rational points on e, and E (k) is known to be a finitely generated Abelian group. Note that l (s, e) is the Hasse Weill function of E. It is conjectured that the rank of E (k) is exactly equal to the order of the zero point of L (E, s) at S = 1. And the first nonzero coefficient of the Taylor expansion of the latter can be accurately expressed by the algebraic properties of the curve

BSD conjecture is a complex conjecture, which can't be compared with Goldbach's conjecture.

But in the eyes of a mathematician like Cheng Nuo, he still understands it very well.

In short, the BSD conjecture describes the relationship between the arithmetical and analytic properties of Abelian clusters. However, for thousands of years, no one has turned this conjecture into a practical theorem.

”Professor, what is this Cheng Nuo doubts.

Professor Fang chuckled. ”What if I told you that I was participating in the proof of this conjecture?”

”Why What? ” Cheng Nuo opens his mouth in surprise.

Professor Fang pressed his hands down and said with a smile, ”don't be too surprised. It's a wonderful thing to prove the seven conjectures. If we can really prove the Millennium problem, it will be a great achievement. ”

”What's more, what I'm doing now is not to prove the generalized BSD conjecture, but to prove the weak BSD conjecture when the analytic rank is 1.”

”Weak BSD conjecture with analytic rank 1?” Cheng Nuo is light.