Ultimate Scholar

The report lasted nearly an hour and a half in total.

Of course, even after it was over, almost everyone in the audience did not leave.

After all, for the mathematics community, such a historic event, even if it is over, can still make everyone linger.

Everyone congratulated Li Mu on the stage.

In any case, judging from Li Mu's report alone, he can't find any problems in his proof.

Of course, for such a major problem as the Millennium Problem, no amount of rigor can be overstated. Therefore, probably in the future, the mathematical community will definitely focus on Li Mu's proof to carry out calculations down to a single number, A symbol of review.

However, for now, no one will think about this kind of aftermath. What's more, with Li Mu's past proof, will he really make mistakes?

Those fans who regard him as an idol certainly don't think so - and there are a lot of such fans.

With so many people at the scene, almost at least half of them are his fans. \b

Just like Grothendieck back then, almost everyone in the mathematics world is his fan. Probably, Li Mu's age is the only difference.

"Congratulations, Li Mu. If the mathematics community confirms that there is no problem, then you have solved another unsolved problem for the mathematics and physics circles."

Deligne gave applause to Li Mu who came to the audience, and at the same time gave him his appreciation without hesitation.

Wiles also sighed with emotion: "Recalling the first time I met you, it was at the United Mathematics Conference. At that time, you just proved the hail conjecture, but I didn't expect that so many years have passed... Oh, it's incredible."

"'It just proved the hailstone conjecture'? Wiles, you have been with Li Mu for too long, and your vision has become a bit too 'open'."

Hearing what Wiles said, Deligne rolled his eyes and said angrily.

Wilston was dumbfounded for a moment.

Indeed, after staying with Li Mu for a long time, his vision has indeed become a bit too "broad".

To a certain extent, Li Mu's first proven Hailstone Conjecture is nothing compared to his later achievements.

"Li Mu, congratulations to you. If there are no accidents, you will become the second mathematician in the world to successfully prove the Millennium Math Problem."

Everyone smiled and nodded.

"Thank you everyone."

Facing everyone's congratulations, Li Mu also expressed his thanks, but at this moment, he suddenly noticed a figure.

"Mr. Perelman!"

He shook his hand towards the figure.

Everyone turned their heads and saw that it was Gregory Perelman, the world's first mathematician who proved the Millennium Mathematical Problem. \b

At this moment, Perelman was walking towards the exit, obviously planning to leave because the report was over.

But Li Mu's voice made him stop.

Turning his head to look over, after a moment of hesitation, this great mathematician who had been separated from the mathematics world actually came over.

Everyone was a little surprised, but afterward, everyone guessed that probably because of Li Mu's past achievements and abilities, even Perelman was willing to change his attitude for it, right?

Perelman, with a big beard, looks like a strong man, but in fact his figure is relatively thin.

After walking over, he didn't look at other people, but just stared at Li Mu alone, and asked, "What's the matter?"

Li Mu: "Uh..."

He really didn't know what he was going to ask, and he called him simply because he wanted to get to know this former boss.

"If there is nothing else, then I'll go first." Perelman said, and then he was about to turn around and leave, but when he turned halfway, he stopped again and said, "Oh, yes Yes, your proof is wonderful, you are a very good mathematician, I wish you success in the end."

Everyone was a little surprised. They didn't expect that Perelman not only said so many words, but also expressed his appreciation. It was a little surprising.

Li Mu said at this time: "Thank you, Mr. Perelman."

"Actually, I mainly want to get to know you and discuss mathematics together."

"I went to St. Petersburg State University before this conference, and Dean Bolonikov said that you have actually been studying mathematics all the time."

Perelman glanced at the others, then said: "You can come to my house and discuss with me later, and now I need to leave first."

After that, he didn't say anything else, and left here directly.

It's just that for other people present, Perelman actually invited Li Mu to his house to discuss, which directly surprised them all.

"Damn it, Perelman actually invited you to his house! The sun is really coming out from the west!"

Wiles opened his eyes wide, and spoke a Chinese saying in English, which made Li Mu feel weird.

The other people next to them were also surprised by Perelman's invitation. In the end, they could only sigh with emotion. It wasn't that Perelman didn't want to talk to them, it was their ability, and it was impossible for Perelman to make an exception for them. .

And Li Mu's ability...

Let’s put aside several other conjectures he proved before, not to mention the existence and smoothness of the solutions of the Navier-Stokes equations proved today.

From the initial internalization of the external force source, to the establishment of an integrated space by rewriting the Boltzmann equation, and finally to solve the explosion time problem in the NS equation, and finally complete the proof.

This entire process was completed by Li Mu alone, unlike the process of Perelman proving the Poincaré conjecture, which used Richard Hamilton's Ritchie flow.

When the Ritchie flow was born, the mathematics community already knew that this tool played a very important role in proving the Poincaré conjecture, and it was indeed proved in the end.

Therefore, to a certain extent, the proof of the Poincaré conjecture was finally completed through the joint efforts of many people in the mathematical community.

The proof of the existence and smoothness of the solution of the NS equation was almost entirely done by Li Mu alone.

Such mathematical ability...

Although no one will publicly admit it, they all know in their hearts that this young man's ability has surpassed each of them.

...

[The last problem of classical physics has now made the most brilliant progress! 】

【The secret of fluid, now see the truth】

[The proof of the existence of a smooth solution to the Navier-Stokes equation has now been found! 】

[One of the most difficult problems in mathematics has been solved! 】

All kinds of news spread all over the world.

Generally speaking, professional things do not attract much attention, but if the words "the most difficult" are added, it will immediately become a gimmick.

All of a sudden, all kinds of media around the world began to scramble to report on this matter, and even some media close to the lace news also specifically reported on this matter, so that readers of these lace news They were all very surprised that the newspaper they read would actually report such a grand thing, the sun really came out from the west.

Of course, compared to foreign countries, Huaguo is even crazier at home.

Nine days ago, the enthusiasm for Li Mu to win the Fields Medal has not completely subsided. Now that he has proved such an important mathematical conjecture, how can domestic netizens not be crazy about it?

Immediately, on Weibo, Tieba, Zhihu and other platforms' hot search lists, the topic about this matter directly went to the top of the list.

On video sites like Station B, the top two most searched lists are also related to it. One is the live video of Li Mu winning the Fields Award, and the other is Li Mu's three reports.

And CCTV News also published related news specifically for this matter.

[In three-dimensional space and time, given an initial velocity field, there is a vector velocity field and a scalar pressure field, which is the solution of the Navier-Stokes equation, where the velocity field and the pressure field need Satisfies smooth and globally defined properties.

This is a complete statement of the existence and smoothness of solutions to the Navier-Stokes equations, one of the seven mathematical puzzles of the millennium.

The Navier-Stokes equation is the most important mathematical tool of fluid mechanics, and it is also the most important research object. Fluid mechanics exists in all aspects of life, whether it is aerospace or ship engineering, or even the practical application of water pipelines, etc. Among them, the Navier-Stokes equations are ubiquitous.

And if it can be proved that there is a smooth solution to the Navier-Stokes equation, it will be of great help to the research of relevant scientific researchers, because it will enable people to have a deeper understanding of the motion of the fluid understand.

However, since the birth of the Navier-Stokes equation in the 19th century, this problem has always existed in the academic world, and it has not been solved for a hundred years, and in the academic world, research on this problem has always been difficult Enter.

Until this year, Professor Li Mu, a famous mathematician and physicist in my country, internalized the space through the external force source he created (the academic circles generally call it Li’s space), and then improved the space, and finally completed the The proof, although whether the proof process is rigorous and flawless, still needs to be verified by the mathematical community, but judging from the general evaluation of the current mathematical community, mathematicians basically maintain an optimistic attitude towards Li Mu's proof. 】

Then, at the bottom of this article, there are several photos taken by CCTV reporters at the scene, which were taken by the three CCTV reporters stationed in Russia.

And at the end, there are even videos of them interviewing several famous mathematicians.

Among them is the interview with Faltins.

In the video, Tu Chengyu, the head of the Russian reporter station, asked Faltings: "Hello, Professor Faltings, I would like to ask first, the status of the existence and smoothness of the solution of the NS equation in academia What's it like?"

Hearing this question, Faltings smiled: "About this issue, I think many people have explained it in the past."

"Perhaps you may not be too clear about the criteria by which the seven major mathematical problems of the millennium were selected."

"Strictly speaking, these seven problems are the seven most difficult problems faced by the mathematics community, and their solutions will have a huge impact on related fields, just like the significance of the NS equation for the application of fluid mechanics .”

"At the same time, Feynman, the Nobel Prize winner in physics, once said that the NS equation is the last problem in classical physics. This is even more important to the academic community."

"All in all, the status of this issue in academia, in the simplest terms, is irreplaceable."

Tu Chengyu nodded again and again at the answer of this mathematician: "Thank you! Then, the second question, what do you think of Professor Li Mu's proof?"

Faltingston smiled: "What I don't think is important, what is recognized by the mathematics community is important."

"But what I want to say is that I think Li Mu is one of the best mathematicians in the world. I have always liked to appreciate his proofs repeatedly."

"Mathematics is a science of realism, and his proofs can also make me feel the real splendor."

Tu Chengyu laughed, "Although I can't understand it, I can indeed see that his proof is wonderful."

"Yeah?"

Faltings smiled, "That's good."

"Then, the last question. Recently, we have been able to see some comments in the public opinion circle and on the Internet that Li Mu is the best mathematician ever. What do you think about this matter?"

This question caused Faltings to fall into a moment of silence.

Whether it is the "best" question has never been so simple to comment on. \b

However, Faltings finally gave an answer: "I will give this answer before I die."

"Of course, when I leave this world, with Li Mu's achievements at that time, I think I will give an affirmative answer."

"He's just the best."

Faltins is a relatively strict person, and he rarely praises a person publicly, but now, he has such a high evaluation of Li Mu, and the view that he is "the best in history" can be said to be extremely rare.

Surprisingly, no one in the mathematics community has attacked this point.

After all, no one knows how many achievements Li Mu has made to prove the NS equation, or even greater results than this, when Faltins died decades later?

...

Compared with the heated discussions outside, Li Mu, who was at the center of public opinion, seemed extraordinarily leisurely because of the complete end of the International Conference of Mathematicians.

On such a big occasion as the International Conference of Mathematicians, it is really tiring to give three reports in a row. Except for the first two sessions which lasted an hour, the third session even lasted an hour and a half.

I was on stage for three and a half hours at an International Congress of Mathematicians. It is estimated that Carlos Koenig, the chairman of the International Mathematical Union, and Plovsky, the chairman of the organizing committee of this conference, did not have him on stage. Long.

Holding the mobile phone, scrolling through various group chats.

In the past few days, basically as long as he is in the group, there have been messages like [This year's Fields Medal winner list has been released, I am very pleased, there is a person in this group on the winner list...].

Who made him really win the award?

Even his classes in college and high school attracted a lot of people from nowhere.

Shaking his head with a smirk, he nodded casually.

"Look at Weibo again."

Entering Weibo, it was like an explosion.

Looking at those enthusiastic netizens, he touched his face, then took the Fields Medal from the side, took a group photo with it in his hand, and then posted a message on Weibo.

【Invited by the International Conference of Mathematicians, I came here to give a few reports, proved a math problem, and won an award by the way. I am so enthusiastic. 】

After sending it out, it didn't take long for the comments and replies in the background, as well as the news notifications such as likes and reposts, immediately rose rapidly.

99+?

999+!

【Mun Shen, how did you use such a calm tone to say such an awesome sentence. 】

【Okay, okay, so pretentious, right? Can I kneel down to you? 】

【I'm a student, can you give me this medal? I hope you are not ignorant. 】

[Your medal is fake, please mail it to me, I will help you deal with it for free]

[I'm sorry, this is the medal of the Fields Medal? 】

[Prove a math problem? Are the seven math problems a math problem for you? I also won an award... md, the Mu Shen has to be the Mu Shen]

【Mun Shen, how can I be as awesome as you? 】

...

Looking at the replies from sand sculpture netizens, Li Mu shook his head with a smile, and then replied under the last comment: [Read more books and newspapers, eat less snacks and sleep more. 】

After replying, he looked at the time.

"Time to visit Perelman."

Then, he got up and left the hotel.