Scholar’s Advanced Technological System

End of April.

A big thing happened in academia.

In the latest issue of The Mathematical Yearbook, a paper on the proof of the existence of the Young Mills equation was published in a full forty pages.

As soon as this information was confirmed, it caused a sensation in the international mathematics and physics communities.

Discussions on this matter at MathOverflow, an internationally renowned mathematics forum, have blown the pot.

[Did you hear? The existence of the Jan Mills equation has been proven!?

[I heard it in the morning, but it's not settled yet.

[Is it not conclusive to publish it in the Mathematical Yearbook? The reviewer is Charles Feverman!

[I haven't finished reading the paper, I don't really understand the theory of L-flux, but I have to combine with his 18-year paper on L-flux, and then I have to make up for the differential geometry, headaches... Anyway, the big man's contribution is that there's something wrong and no ordinary person can pick out the prick, so let's wait for the report to finish.

Because many new-generation mathematicians, including Tao Zhexuan and Shultz, have registered their own accounts on this website, the heat of the topic on MathOverflow basically reflects how exciting the echoes of one thing are in the mathematical world.

And the last time this level of discussion arose, it had to go back two years to Sir Attia and his five-page paper...

The enthusiasm does not just occur in professional academic forums.

Even though the vast majority of people don't know how to write the Jan Mills equation, they're not new to the Millennium Difficulty.

Almost the day after the paper came out, the relevant news appeared on the header push pages of various news networks and attracted countless spectators of gourds.

Twitter and Facebook responded more emotionally than MathOverflo discussed rationality.

The Ark? The author of the thesis is the ark? If I remember correctly, he solved a world-class math problem only two years ago!

[It's the NS equation! One of the Seven Millennium Difficulties! I remember his report would be at the Rio International Mathematicians' Congress that year!

[Challenging two millennium challenges in a row, less than two years apart… God, how did he do it?

Did you solve the controllable fusion by hand during the period?

[Haha, maybe mysterious power from the East?

[This is crazy!

……

Though there have been plenty of follow-on challengers since the announcement of the seven millennium challenges.

With regard to the proposition of the Jan Mills equation, however, few have achieved such critical results in this area.

If a mathematical solution to the Young Mills equation can be proved to exist, the day when we want to find out exactly what this understanding is should not be too far away.

Because of the disproportionate impact of the matter, even Nature, which paid little attention to the progress of research in the mathematical field, excerpted 200 words from the abstract part of the paper, set it up in a new issue of Highlight, and some excerpts were shown on the cover.

Meanwhile, in an interview with a journalist from Science magazine, the author of the paper, Professor Feverman, gave considerable credit for the mathematical methods used in the paper.

“Few people can reach the ultimate level in more than three fields of mathematics at the same time. And not only did he do that, but he fused three very different directions: partial differential equations, differential geometry, and topology, on the basis of which an entirely new mathematical approach emerged. ”

Reporter: "Is that the magical L-shape? ”

Feverman: “Yes. ”

Reporter: “But someone commented that when he proved the existence of the Jan Mills equation solution, he didn't create new mathematical tools based on it again, just reusing the mathematical tools he created when solving the NS equation... What do you think of that view? ”

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

If this paper is only a mathematical language that tells people that the Yang Mills equation communication exists, but does not pave the way for it, then even if it is a remarkable achievement, it is difficult to achieve an outstanding standard.

Feverman: “I don't think that's an objective idea. It is not necessarily necessary to create an entirely new mathematical tool that embodies the value of a mathematical conjecture; it can also refine existing mathematical tools, or even be an abstract mathematical idea. ”

Reporter: "Do you think he reinforces the theory of the L-shape on this basis? ”

Feverman nodded: "That's right. It often takes five or even ten years for a theory to evolve from green to mature, and the accumulation of countless mathematical propositions to precipitate. Few people could have done that in just two years, but he did. ”

“By introducing the L-flux, he succeeded in building a bridge between the differential equations and the differential geometry, and introduced topological ideas and methods. If I were to describe it in a non-professional language, his approach was to make the equation no longer a pure equation, but a geometry that existed in a special space. ”

Reporter: "This is too abstract. Can you be more specific? ”

Feverman shrugged: “It's like making an auxiliary line on an irregular graph, going through a special change to make something that's already complicated seem obvious. ”

Journalist: "I note, however, that very few people follow up on this research on ARXIV. While this data may not be objective enough, if it really works, why isn't anyone thinking about using it? ”

Feverman: “It's a simple question, and you can't expect a theory that's less than two years old to become the mainstream of academia right away, not even Grotendic. Not to mention studying it in depth, even if you learn to use it, it takes a certain amount of time… let alone a certain threshold for this approach. ”

Reporter: "So you rated his work very highly? ”

Feverman: "Yes, and I'm sure anyone who really understands that paper will have the same idea. ”

Reporter: “The last question may not have anything to do with the Young Mills equation itself… of course, you may not comment. ”

Feverman smiled and said, "Ask. ”

Reporter: "Do you think he could be the greatest mathematician of the century? ”

This is a very difficult question.

After all, the twenty-first century has only just begun.

Feverman thought for a moment, staring enthusiastically at the journalist, and said, “It depends on Lehman's assumptions as to whether they can be proven in this century. If you can't...”

Speaking of which, he paused.

“So without a doubt, it's not possible, he's already been. ”