The report lasted for nearly an hour and a half.
Of course, even after it was over, almost everyone in the audience did not leave.
After all, for the mathematical community, such a historic event, even if it is over, can still make everyone linger.
Everyone sent congratulations to Li Mu on the stage.
In any case, judging from Li Mu's report alone, no problem can be found in his proof.
Of course, for a major issue like the Millennium Problem, no matter how rigorous it is, so probably in the future, the mathematical community will definitely focus on Li Mu’s proof, down to a single number. A review of symbols.
However, for now, no one will think about this kind of thing in the future. What's more, with Li Mu's past proof, will he really make mistakes?
Those fans who regard him as their idol will definitely not think so - and there are many such fans.
With so many people at the scene, at least half of them must be considered his fans.
Just like Grothendieck back then, almost everyone in the mathematics community was his fan. Probably, the only difference between Li Mu and Li Mu was his age.
"Congratulations, Li Mu. If it is confirmed by the mathematics community that there is no problem, then you have solved an unsolved problem for the mathematics and physics communities."
Deligne applauded Li Mu who came to the audience, and also expressed his appreciation without hesitation.
Wiles also sighed with emotion: "I think back to the first time I met you, it was at the Joint Mathematics Conference. At that time, you had just proved the hail conjecture, but I didn't expect that so many years had passed... Oh, it’s incredible.”
"'It just proved the hail conjecture'? Wiles, you have stayed with Li Mu for too long, and your field of vision has become a bit too 'broad'."
After hearing Wiles' words, Deligne rolled his eyes and said angrily.
Wilhelm was speechless for a moment.
Indeed, after staying with Li Mu for a long time, his vision did become a little too "broad".
To a certain extent, Li Mu's earliest proof of the hail conjecture was nothing compared to his subsequent achievements.
"Li Mu, congratulations to you. If nothing else happens, you will become the second mathematician in the world to successfully prove the Millennium Mathematical 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 waved his hand towards the figure.
Everyone turned around and saw that it was the mathematician who was the first in the world to prove the Millennium Mathematical Problem, Gregory Perelman.
At this time, Perelman was walking towards the exit, apparently planning to leave because the report was over.
But Li Mu's voice made him stop.
He turned around and looked over. After a moment of hesitation, this great mathematician who had been separated from the mathematical world actually walked over.
Everyone was a little surprised, but then everyone estimated that it was probably Li Mu's past achievements and abilities that made even Perelman willing to change his attitude, right?
Perelman, with his big beard, looks like a strong man, but in fact he is quite thin.
After walking over, he didn't look at anyone else. He 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. He called him just because he wanted to get to know this former boss.
"If there's nothing else, I'll leave first." Perelman said, and then he turned to leave, but when he turned halfway, he stopped again and said: "Oh, yes Yes, your proof is wonderful. You are a very powerful 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 really 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 Bolonnikov said that you have actually been studying mathematics."
Perelman glanced at the others and then said: "You can come to my house to discuss it with me later, but now I need to leave first."
Afterwards, he left here without saying anything else.
However, for others present, Perelman actually invited Li Mu to his home for discussion, which immediately surprised them.
"Damn it, Perelman actually invited you to his home! The sun is really shining in the west!"
Wiles opened his eyes wide and spoke a Chinese proverb in English, which made Li Mu feel weird.
Others nearby were also surprised by Perelman's invitation. In the end, they could only lament that it wasn't that Perelman didn't want to deal with them, but because of their abilities, they couldn't let Perelman make an exception for them. .
And Li Mu's ability...
Let’s put aside the other conjectures he proved before, and let’s just talk about the existence and smoothness of the solution to the Navier-Stokes equation that was proved today.
From the initial external force source to internalize the space, then by rewriting the Boltzmann equation, then establishing the integrated space, and finally solving the explosion time problem in the NS equation, and finally completing the proof.
This entire process was completed by Li Mu alone, unlike Perelman who used Richard Hamilton's Ricci flow in proving the Poincaré conjecture.
When the Ricci flow was born, the mathematical 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 Poincaré's 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 to the NS equation was almost entirely completed by Li Mu alone.
Such mathematical ability...
Although no one will admit it publicly, they all know in their hearts that this young man's ability has surpassed every one of them.
…
[The last problem of classical physics has now made the most brilliant progress! 】
[The secret of fluids, now you can see the truth]
[Proof of the existence of smooth solutions 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.
Professional stuff generally doesn't attract too much attention, but if you add the words "the most difficult", it immediately becomes a gimmick.
All of a sudden, all kinds of media around the world began to rush to report on this incident. Even some media that were close to gossip news specifically reported on this incident, so that readers of these gossip news They were all very surprised that the newspaper they read actually reported such a high-level thing. It was really the sun rising in the west.
Of course, compared to foreign countries, China is even crazier.
Nine days ago, the enthusiasm for Li Mu winning the Fields Medal has not completely subsided. Now he has actually proved such an important mathematical conjecture. How can domestic netizens not go crazy about it?
In an instant, topics about this matter directly topped the list of hot searches on platforms such as Weibo, Tieba, and Zhihu.
On video websites like Bilibili, the top two hot searches are also related to it. One is the live video of Li Mu winning the Fields Medal, and the other is Li Mu's three reports.
CCTV News also published relevant news specifically on 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 to the Navier-Stokes equation, where the velocity field and pressure field require Satisfies smooth and globally defined properties.
This is a complete statement on the existence and smoothness of solutions to the Navier-Stokes equation among the seven major mathematical problems of the millennium.
The Navier-Stokes equation is the most important mathematical tool of fluid mechanics, and it is also the main research object. Fluid mechanics exists in all aspects of life, whether it is aerospace, ship engineering, or even practical applications in water pipes, etc. Among them, the Navier-Stokes equation can be seen everywhere.
And if it can be proven that there is a smooth solution to the Navier-Stokes equation, it will be of great help to relevant researchers, because it will allow people to have a more profound understanding of the way fluids move. understand.
However, this problem has existed in academia since the birth of the Navier-Stokes equation in the 19th century, and has not been solved for hundreds of years. In academia, research on this problem has also been difficult. Enter.
Until this year, Professor Li Mu, a famous Chinese mathematician and physicist, internalized space through the external force source he created (generally referred to as Li's space in the academic community), and later improved the space, finally completing Proof, although whether the proof process is rigorous and flawless still needs to be verified by the mathematical community, judging from the current general evaluation of the mathematical community, mathematicians basically maintain an optimistic attitude towards Li Mu's proof. 】
Then, below this article, there are several photos taken by CCTV reporters at the scene, which were taken by the three CCTV reporters in Russia.
And at the end, there are even videos of them interviewing several famous mathematicians.
This includes an interview with Faltins.
In the video, Tu Chengyu, the webmaster of the reporter station in Russia, asked Faltings: "Hello, Professor Faltings, I would like to first ask about the status of the existence and smoothness of the solution to the NS equation in academia. What's it like?"
Hearing this question, Faltings smiled: "I think many people have explained this issue in the past."
"Perhaps you may not be very clear about the criteria according to which the seven major mathematical problems of the millennium are 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, the Nobel Prize winner in physics, Feynman, once said that the NS equation is the last problem of classical physics, which is even more important to the academic world. "
"All in all, the status of this issue in academia is, to put it in the simplest terms, irreplaceable."
The math master's answer made Tu Chengyu nod repeatedly: "Thank you! So, the second question, what do you think of Professor Li Mu's proof?"
Falting suddenly smiled: "What I think is not important is what is recognized by the mathematical community as important."
"But what I want to say is that I think Li Mu is one of the best mathematicians in the world. I always like to appreciate his proofs over and over again."
"Mathematics is a realist science, and his proofs can also make me feel the wonderfulness of reality."
Tu Chengyu laughed, "Although I can't understand it, I can really tell that his proof is wonderful."
"Yeah?"
Faltins smiled and said, "That's good."
"So, the last question. Recently, we can see some comments in the public opinion circles and on the Internet that Li Mu is the best mathematician in history. What do you think of this matter?"
This question caused Faltings to fall into silence for a moment.
The question of whether it is the "best" has never been so simple to judge.
However, Faltings finally gave an answer: "I will give this answer before I die."
"Of course, when I leave this world, based on Li Mu's achievements at that time, I think I will give a definite answer."
"He's just the best."
Faltings is a relatively strict person and rarely publicly praises a person. But now, it can be said that it is extremely rare for him to have such a high evaluation of Li Mu and the view that he is "the best in history".
Surprisingly, however, no one in the mathematical community criticized this point.
After all, no one knows that by the time Faltings died decades later, how many more achievements would Li Mu have made, like proving the NS equation, or even greater achievements than this?
…
Compared with the heated discussions outside, Li Mu, who is at the center of public opinion, appears to be particularly relaxed because of the complete conclusion of the International Congress of Mathematicians.
In such a big occasion as the International Congress of Mathematicians, it is indeed quite tiring to give three consecutive reports. In addition to the first two being one hour, the third one is even as long as one and a half hours.
He was on stage for three and a half hours at an International Congress of Mathematicians. It is estimated that Carlos Koenig, President of the International Mathematical Union, and Plovsky, Chairman of the Organizing Committee of this Congress, could not stay on stage as long as he did. Long.
Holding the phone, scrolling through various group chats.
In the past few days, basically any group he is in has posted messages like "This year's Fields Medal winners list has come out. I am very pleased that someone in this group is on the list...".
Who really made him win the award?
Even his college and high school class groups attracted a bunch of people to join him from nowhere.
He shook his head with a smile, and then nodded casually.
"Look at Weibo again. "
Entering Weibo, it was like an explosion.
Looking at the enthusiastic netizens, he touched his face, then took the Fields Medal medal from the side, took a group photo with it in his hand, and then posted a Weibo post.
[I was invited by the International Congress of Mathematicians to give a few reports here, prove a mathematical problem, and get a prize by the way. I am so enthusiastic. 】
After it was posted, it didn’t take long for the backend comments, replies, and message notifications like likes and reposts to increase rapidly.
99+?
999+!
[Shepherd, how did you say such an awesome statement in such a calm tone. 】
[Okay, okay, are you so pretentious? Isn’t it enough that I kneel down for you? 】
[I am a student, can you give me this medal? I hope you are not ungrateful. 】
[This medal of yours is fake, please mail it to me and I will handle it for you for free]
[Holy shit, this is the Fields Medal medal? 】
【Proved a math problem? Are the seven major mathematical problems just a mathematical problem for you? I even won a prize...md, the God of Shepherd must still be the God of Shepherd]
[Goddess of Shepherd, how can I become as awesome as you? 】
…
Looking at the replies from the netizens, Li Mu laughed and shook his head, and then replied under the last comment: [Read more, read more 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.
(End of chapter)
