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 “mathematics annual”, the 40 sheet of paper was used to publish thesis on the existence of the solution to the Yang Mills equation.

Once confirmed, this news immediately caused a sensation in the international mathematics and the world of technology.

On the internationally renowned mathematics forum MathOverflow, discussions about 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 in the “mathematics annual publication”? The reviewer is Charles Fefferman! 】

[thesis I haven’t finished reading yet, I don’t know much about the theory of L manifold. I have to understand the thesis about L flow in 18, and 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 of the freshman generation mathematics, including Tao Zhexuan and Schultz, have registered their own accounts on this website, the topic hot on MathOverflow can basically reflect the repercussions of one thing in the mathematics circle. What a sensation.

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

Hot discussion is not just about professional academic forums.

Even the vast majority of people do not know how to write the Yang Mills equation, but it is not unfamiliar to the millennium problem.

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

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

[Lu Zhou? The author of thesis is that Lu Zhou? If I remember correctly, it was only two years ago that he solved a World-class mathematics puzzle! 】

[It is the NS equation! One of the seven thousand problems! I still remember his report at the Rio International Mathematics House Conference 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 a mysterious force 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 we can prove that the solution of the Yang Mills equation exists through the method of mathematics, then the day when we 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 mathematics field, also selected the two hundred words in the abstract part of thesis, and set “Highlight” on the new issue. And some excerpts are displayed on the cover.

At the same time, in an interview with a journalist in Science, thesis reviewer Fefferman Professor gave a fairly high evaluation of the mathematics method used by thesis.

“Few people can reach the ultimate level in more than three mathematics fields at the same time. He not only did this, but also merged three distinct directions of partial differential equations, differential geometry, and topology. Together, a new approach to mathematics has been derived.”

Reporter: “Is that magical L manifold?”

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 mathematics tools on the basis of re-use of the mathematics tools created in solving the NS equation… What do you think of this view?”

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

If this thesis 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.

Fefman: “I don’t think this view is objective. It doesn’t have to create a new mathematics tool to embody the value of a mathematics. It can also be a perfection of existing mathematics tools, or even just one. Abstract mathematics thoughts.”

Reporter: “Do you think he has strengthened the theory of L manifold on this basis?”

Fefman nodded: “Yes. A theory that grows from oyster to maturity often takes five years or even ten years, and counts of numerous mathematics propositions to precipitate. Few can be in just two years. Do it, but he did it.”

“By introducing the L 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?”

Feverman shrugged: “It’s like making a guide 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 Alexander Grothendieck can’t do it. Not to study it in depth, even if you learn to use it, 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 thesis 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 laughed and said, “You ask.”

Reporter: “Do you think he is likely to be the greatest mathematics home of this century?”

This is a very difficult question.

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

Under the gaze of the reporter, Fefferman thought for a moment and said, “It depends on whether GFB Riemann’s Conjecture can be proved in this century. If not…”

Having said that, he is paused.

“There is no doubt, it is not possible, he is already.”