Scholar’s Advanced Technological System

At the end of April.

A major event has taken place in the academic world.

In the latest issue of the Yearbook of Mathematics, a full paper of forty pages of paper was published, and a paper on the existence of the solution of the Yang Mills equation was published.

Once confirmed, this news immediately caused a sensation in the international mathematics and physics circles.

On the internationally renowned mathematics forum mathoverflow, discussions on this matter have exploded.

[Have you heard that? The existence of the solution of the Yang Mills equation is proved! ? 】

[I heard it in the morning, but this matter is still inconclusive. 】

Can it be concluded that it can be published in the "Year of Mathematics"? The reviewer is Charles Fefferman! 】

[I haven’t read the thesis yet. I don’t know much about the theory of the manifold. I have to understand the paper about the manifold in his 18 years. Then I have to go to the differential geometry. In short, this kind of big manuscript submission is that there is something wrong with the average person who can pick out the stab. What is the final result? Let’s talk about it after the report is finished. 】

Because many new generation mathematicians, including Tao Zhexuan and Schultz, have registered their own accounts on this website, the hot topic on mathoverflow can basically reflect the repercussions of one thing in the mathematical circle. What a sensation.

The last time such a degree of discussion came back to two years ago, Sir Attiya and his five-page paper...

Hot discussion is not just about professional academic forums.

Even if most people don't even know how to write the Yang Mills equation, they are not strange to the millennium problem.

Almost immediately on the second day of the paper, the relevant news appeared on the head page of various news networks, and attracted countless people who were eating melons.

Compared with the rational discussion on mathoverflo, the reaction of netizens on Twitter and Facebook is even more emotional.

[Lu Zhou? The author of the paper is the Lu Zhou? If I remember correctly, he solved a world-class math problem two years ago! 】

[It is the ns equation! One of the seven thousand problems! I still remember his report at the Rio International Congress of Mathematicians that year! 】

[Continuously challenge two thousand problems, only less than two years in the middle... God, how did he do it? 】

[The period also solved the controllable fusion? 】

[Haha, maybe the mysterious power from the East? 】

[This is crazy! 】

[...]

Although since the announcement of the seven major problems, there has been no shortage of challengers.

But with regard to the proposition of the Yang Mills equation, few people have achieved such crucial results in this field.

If the mathematical solution can be used to prove that the solution of the Yang Mills equation exists, then the day when I want to find out what the general solution is, it should not be too far away.

Because the impact of this matter is too great, even the "Nature", which pays little attention to the research progress in the field of mathematics, also selected the 200 words in the abstract part of the paper, and set "highlight" on the new issue. And some excerpts are displayed on the cover.

At the same time, in an interview with a reporter from Science, the reviewer of the paper, Professor Fefferman, gave a fairly high evaluation of the mathematical methods used in this paper.

“Few people can reach the ultimate level in more than three mathematics fields at the same time. And he not only did this, but also integrated three distinct directions of partial differential equations, differential geometry, and topology. Together, on this basis, a new mathematical method has been derived."

Reporter: "Is that magical l-shaped?"

Fefferman: "Yes."

Reporter: "But some people have commented that when he proves the existence of the solution of the Yang Mills equation, he does not create new mathematical tools on the basis of re-use of the mathematical tools created in solving the ns equation... What do you think of this view?"

The value of a mathematical proposition is not reflected in the proposition itself, but in the mathematical methods that can be created when solving this proposition.

If this paper is only in the language of mathematics, telling people that the general solution of the Yang Mills equation exists, but can not pave the way for the solution, even if it is also an excellent result, it is difficult to achieve outstanding The standard.

Fefferman: "I don't think this view is objective. It doesn't have to create a new mathematical tool to embody the value of a mathematical conjecture. It can also be a perfection of existing mathematical tools, or even just one. Abstract mathematical thinking."

Reporter: "Do you think he has strengthened the theory of manifolds on this basis?"

Feverman nodded: "Yes. A theory that grows from birth to maturity often takes five years or even ten years, and the accumulation of countless mathematical propositions to precipitate. Few people can do it in just two years. Do it, but he did it."

"By introducing the manifold, he successfully built a bridge between partial differential equations and differential geometry, and introduced the ideas and methods of topology. If I want to describe it in a non-professional language, he The idea is to make the equation no longer a pure equation, but a geometry that exists in a special space."

Reporter: "This is too abstract, can you say more specific?"

Fefferman shrugged: "It's like making an auxiliary line on an irregular figure. After a special change, the original complicated things can be seen at a glance."

Reporter: "But I noticed that there are very few people on arxiv who follow up on this aspect. Although this data may not be objective enough, if it really works, why no one is considering it."

Fefman: "The problem is very simple. You can't expect a theory that was born less than two years. It will immediately become the mainstream of academia. Even Grothendieck can't do it. Not to study it in depth, even if it is learned. It also takes a certain amount of time... not to mention, there is a certain threshold for this approach."

Reporter: "So, do you have a high evaluation of his work?"

Fefman: "Yes, and I believe that anyone who really understands the paper will have the same thoughts as me."

Reporter: "The last question may not be related to the Yang Mills equation itself... Of course, you may not express your opinion."

Fefferman smiled and said, "You ask."

Reporter: "Do you think he is likely to be the greatest mathematician of this century?"

This is a very difficult question.

After all, the 21st century has just begun to open its head.

Under the eager gaze of the reporter, Fefferman thought for a moment and said, "It depends on whether the Riemann conjecture can be proved in this century. If not..."

Having said that, he paused.

"There is no doubt, it is not possible, he is already."

Recommend a seedling, "Sorry, there is a system really amazing", the author is an old driver, you can rest assured to eat ~