Chapter 320

Mathematics master David Hilbert proposed 23 mathematical problems in his famous speech at the Second World Congress of Mathematicians held in Paris on August 8, 1900.

In the past 100 years, the Hilbert problem has stimulated the wisdom of mathematicians and guided the way forward for mathematics, and its impact on the development of mathematics is immeasurable.

Since the beginning of the 21st century, the Scientific Advisory Board of the Clay Institute of Mathematics has selected seven "Millennium Prize Questions".

Although the Clay Institute of Mathematics does not have the unique appeal in the mathematical community like Hilbert more than a hundred years ago, it is estimated that even if the "Seven Millennium Prize Problem" is proposed, it is estimated that not many mathematicians in the world are keen to solve it, but ...... People are rich!

The Board of Directors of the Clay Institute for Mathematics decided to establish a $7 million Grand Prize Fund, with a $1 million award for each "Millennium Prize Problem" solved.

Those top experts in mathematics may not care about this small amount of money, but among mathematicians, there are only a few people who live a wealthy life and treat money as dung.

Thereupon...... Countless mathematicians have regarded these seven millennial mathematical problems as their lifelong goals. However, it has been 20 years since the Millennium Prize problem was proposed, but only the "Poincaré conjecture" has been solved of the seven problems. For the rest, progress is slow.

It is still unclear whether half of the seven millennium prizes will be solved before the next century.

......

The seven millennium problems are: NP Perfection Problem, Hodge Conjecture, Poincaré Conjecture, Riemann Hypothesis, Young-Mills Existence and Mass Gap, Navall-Stoke Equation, BSD Conjecture.

Obviously, the BSD conjecture mentioned by Professor Fang is naturally among them.

Facing Professor Fang's inquiry, Cheng Nuo nodded.

As such a well-known problem in the mathematical community, Cheng Nuo obviously has no reason not to be clear.

"I have learned a little, the BSD conjecture, the full name is the Poch and Swinnaton-Deya conjecture. ”

"The conjecture is that let E be an elliptic curve defined on the algebraic number field K, and E(K) is the set of rational points on E, and we already know that E(K) is a finite generative commutative group. L(s,E) is the Hasse-eil L function of E. The conjecture says that the rank of E(K) is exactly equal to the order of L(E,s) at the zero point at s=1. And the first non-zero coefficient of the Taylor expansion of the latter can be accurately expressed by the algebraic properties of the curve. ”

The BSD conjecture is a complex conjecture that is not comparable to the simplicity and intelligibility of the famous Goldbach conjecture in mathematics.

But in the eyes of mathematicians like Cheng Nuo, it is still quite easy to understand.

In simple terms, the BSD conjecture describes the connection between the arithmetic and analytic properties of the abelian cluster. However, for thousands of years, no one has turned this conjecture into a practical theorem.

"Professor, are you asking me this?" Cheng Nuo wondered.

Professor Fang smiled slightly, "What if I told you that I was involved in the proof of this conjecture?"

"What...... What?!" Cheng Nuo's mouth opened wide in surprise.

Professor Fang pressed down with his hands and said with a smile, "Don't be too surprised. Proving that there is nothing wrong with the Seven Conjectures. If the millennium problem can really be demonstrated, it will be a great achievement. ”

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

"Parse the weak BSD conjecture in the case of rank 1?" Cheng Nuo sighed.

"Yes. Professor Fang nodded and explained, "The generalized BSD conjecture refers to the Abelian cluster on a given global domain and guessing its ...... There is an exact equation between the volume of the free part, the period of all prime positions, and the sand group. The first half of it refers to the weak BSD conjecture. ”

"As early as four years ago, two mathematicians, Ying and Degu, proved the weak BSD conjecture when the analytic rank is 0, and the exact BSD conjecture holds all but 2. ”

"I only started researching this conjecture two years ago, and the current progress is ...... Speaking of this, Professor Fang raised the scratch paper in his hand and smiled bitterly, "The millennium problem is worthy of being called the millennium problem, although it is only a weak conjecture of the generalized conjecture, in two years, there is only so little useful thing I can obtain." I'm afraid I'm not even one percent of the way to prove the BSD conjecture. ”

After speaking, Professor Fang handed the scratch paper to Cheng Nuo.

Cheng Nuo hesitated for a moment and didn't take it, "Professor, this is your two-year hard work, let me see it...... Not appropriate, right?"

Professor Fang smiled and stuffed the draft paper into Cheng Nuo's hand, "It's not a confidential document, you can take it and read it." Besides, the last thing I called you in had to do with the BSD conjecture. ”

"I want you to be my assistant in parsing the weak BSD conjecture in rank 1 and work together to overcome the weak BSD conjecture!"

When Cheng Nuo had just taken a few drafts from Professor Fang, this thunderous news sounded in his ears.

I?BSD guess?

Cheng Nuo's brain is a little dizzy now.

It's really a bit of a sudden.

To be honest, during the time when he got the ability before, Cheng Nuo also tried to use the ability to solve the world's mathematical problems, but found that his hardware equipment was really not enough.

A rookie who has not yet graduated from the novice village wants to challenge the last world boss, even if he holds a 999 dragon slaying sword, he has no power to fight back. So since then, Cheng Nuo has rarely thought about challenging the world's mathematical problems, but has continued to read and accumulate.

Originally, according to the plan, Cheng Nuo was going to wait for him to graduate from his bachelor's degree, graduate school, or master's and doctor's degree, and then try again. Unexpectedly, Professor Fang took the initiative to invite himself to join in the proof of the weak BSD conjecture.

In the past, Cheng Nuo was doing ordinary mathematical problems, but this suddenly came to a thousand-year-old mathematical problem.

If the step is too big, will it pull the egg?

"Cheng Nuo, Cheng Nuo?"

It wasn't until Professor Fang called out a few times in Cheng Nuo's ear that Cheng Nuo's thoughts returned to reality.

"Oh, Professor, you say. Cheng Nuo came back to his senses and said.

A faint smile tugged at the corner of Professor Fang's mouth, "Cheng Nuo, how do you feel about my proposal?"

Cheng Nuo pondered for a few seconds, and finally nodded fiercely, "!"

"Okay. Professor Fang was also quite happy, "Then you can take these drafts back and take a look, and then we will talk about the follow-up." ”

"The work of proving the world's problems does not happen overnight, so you don't have to rush as hard as you did in your last project. Just take it gradually. ”

........................

Genius one second to remember the address of this site:. Mobile version reading URL: m.