All in all, as the news that Li Mu won the Fields Medal spread rapidly, those who knew him well expressed their great joy.
On this day, like Li Ruyu, everyone who knew that her brother was Li Mu sent congratulations to her. In their family, Li's father and Li's mother both burst into laughter because of this. There was a big feast.
Of course, even if there was no big banquet, they still invited some relatives and friends to celebrate this event.
In addition, they also received various congratulations from their workplaces.
To this day, Li's father and Li's mother have all been promoted in their units because of Li Mu, including positions that are envied by everyone.
And now, their children have won the first Fields Medal for Chinese people on behalf of China. If you tell the older generation like them how difficult the problems Li Mu solved are, they probably won’t be too clear. But if you tell them about the Nobel Prize, they will definitely understand.
This is known as the Nobel Prize in mathematics. Just hearing it tells you how powerful it is.
In the future, Father Li and Mother Li will probably receive more support at work because of this incident.
Of course, these are all things for the future.
In addition to his relatives, Li Mu's former alma mater, the place where he received education and grew up, is of course the most exciting.
Li Mu's high school, Qin'an City No. 83 Middle School.
The school went to the graphic advertising studio at the school gate overnight to decide on the red banner, and then hung it high on the gate of the school gate.
[Warm congratulations to Li Mu, a 2018 graduate of our school, for winning the Fields Medal! 】
Of course, it's not just Li Mu's high school, his junior high school and elementary school have all put up red banners.
Just kidding, you have to let others know that Li Mu came from their school, right?
Even the kindergarten that Li Mu attended back then began to think about whether to hang up banners.
Of course, the alma maters of these primary and secondary schools are already so crazy, not to mention Li Mu’s university, Shanghai Jiao Tong University.
On every school gate of every campus of Shanghai Jiao Tong University, a red banner is hung, which reads: [Warmly congratulate Professor Li Mu, a 2018 student and lifelong honorary professor of our school, for winning the Fields Medal! 】
There are many talents who have graduated from Shanghai Jiao Tong University, but they are unique among those who have won the Fields Medal.
In other words, it is unique among universities in China.
Even though Qiu Chengtong's ancestral home is in Guangdong Province, his family immigrated to Hong Kong in 1949, and he also studied at the then Chinese University of Hong Kong.
Therefore, for Shanghai Jiao Tong University, this is certainly something worthy of publicity.
Of course, the atmosphere in the entire school was very lively, as if it was the Chinese New Year.
All the students in the school knew that their senior had won such a top award.
Suddenly, the classroom where Li Mu once attended classes, his former dormitory, his seat, and his bed... all became "attractions" for people to watch.
It happens to be the holiday now, and the senior students have graduated and left school, so there are basically no people here.
It also makes it easier for the junior students to watch - as for why girls can enter the boys' dormitory, it is very common in universities.
Of course, in addition to "checking in at holy places" which has become something that all students in the school will do today, in the School of Mathematics and the School of Physics, it is really celebrating the New Year.
Outside the two colleges, individually customized banners are hung.
The banner of the School of Physics reads: [Congratulations to Mr. Li Mu, lifelong honorary professor of the School of Physics, for winning the Fields Medal], and the School of Mathematics naturally replaces the "School of Physics" with the School of Mathematics.
Of course, the slight difference is that the School of Mathematics also put a sign under the banner to introduce what the Fields Medal is. In particular, the sign greatly emphasizes the "award in mathematics".
A discerning person can tell at a glance that this is a crowding out of the School of Physics.
After all, the School of Physics and the School of Mathematics were famous throughout the school for fighting over Li Mu. The deans of other schools even laughed at the two deans, Pang Ming and Qi Tao, for this several times.
But now that I look at it...
The other deans could only say that their back molars were broken at this moment.
Damn, this is the Fields Medal!
…
The news of the Fields Medal has made the entire academic community excited for a long time.
After all, as an award with status equivalent to the Nobel Prize, the world's leading universities will specifically mention the number of Nobel Prize and Fields Medal winners when introducing their alumni.
At this moment, all the scholars who are attending the International Congress of Mathematicians in St. Petersburg, recalling the awarding process at the opening ceremony from time to time, can't help but feel a rush of excitement and fascination.
Of course, no matter what, time will not stop because of one thing.
Other projects of the International Congress of Mathematicians also officially started after the opening ceremony.
The various academic reports that followed have gradually become the focus of these participating mathematics scholars.
…
In the hotel room where Li Mu and his party were staying.
In front of the table, Li Mu was writing something.
On the side, Wiles was also looking at what he wrote, which was related to the report.
He asked: "There have been rumors circulating before that you have proven that problem, but the content of your report tomorrow seems to be only your Li space?"
After a period of time, the internalized space of the external force source named by Li Mu has been simply called Li's space.
It's more convenient after all.
Li Mu did not stop writing, but simply gave a reply: "Tomorrow is July 8th, and my Fields Medal lecture is scheduled for July 10th."
Wiles' brows moved, and he remembered that a few months ago, Li Mu once said that it would depend on whether IMU would give him face.
And now look...
"It seems that when you were talking about whether IMU would give you face, you really meant the Fields Medal!"
He smiled and said: "You have already included this Fields Medal lecture."
He started locking in the Fields Medal months in advance and even set his sights on giving a Fields Medal lecture. Probably only Li Mu could do it.
"So, what you are preparing now is the Fields Lecture report?"
Li Mu nodded slightly.
Wiles leaned forward, took a few more glances, and finally moved his brows.
"This seems to be the Boltzmann equation?"
"Are you going to use the Boltzmann equation to solve this problem?"
"Yes."
Li Mu nodded.
"Boltzmann equation...Boltzmann equation..."
Wiles groped his chin, thought for a long moment, and finally shook his head and said, "I can't figure out how to solve it."
Li Mu smiled: "Then let's wait until July 10th."
Wiles smiled and nodded: "Of course, I have begun to look forward to how you will connect the Boltzmann equation, Lie space, and Navier-Stokes equation."
"It just sounds incredible."
At this time, Wiles asked curiously: "However, I remember that the Fields Medal lecture is only one hour. Can you finish it in one hour?"
Li Mu's smile did not change: "Then it depends on IMU and the organizing committee of this conference whether they will give you face."
Wiles was stunned for a moment.
It also depends on whether IMU and the organizing committee of this conference will give face?
Could it be...
"You want to give a third report!?"
Wiles asked in surprise.
Li Mu smiled and said nothing, but he obviously acquiesced.
Wiles was stunned for a while, and suddenly felt that this moment was very immediate, as if he had seen it somewhere before.
Soon he remembered, wasn't this what he had done back then?
Use three reports to complete the final proof...
Wait, "You mean, you really proved successful?"
Wiles suddenly realized that he had almost forgotten this important point.
Before, they all assumed that Li Mu might have completed the proof. They were just assumptions and possibilities, not that Li Mu had actually proved it.
And look at his current performance...
Li Mu still smiled and said nothing, but Wiles had already gotten the meaning of his smile.
After being silent for a long time, Wiles took a deep breath and then said, "Okay, it seems I don't need to ask any more questions."
"I will keep this secret for you until after your third report."
"I can not wait any more."
With that said, Wiles turned and left without disturbing Li Mu anymore, but when he walked to the door, he suddenly asked again: "Why don't they give you face?"
"Then the report will be in Oxford, of course."
Wiles suddenly smiled: "If that's the case, I think Dean Taylor will be very happy."
"Of course, I think that after your second report is over, IMU will definitely give you this face."
IMU would be crazy to reject the proof of the Millennium Problem.
…
The next day, July 8th.
9:50 a.m. local time.
St. Petersburg International Congress Center, Conference Hall 1.
Conference Hall No. 1 is the largest conference hall of the St. Petersburg International Congress Center. The opening ceremony of the International Congress of Mathematicians is held in this Conference Hall No. 1.
Of course, all one-hour plenary reports are also conducted in Conference Hall No. 1.
This is also a unique treatment for the one-hour plenary report. When the plenary report is held, not many participants will be absent unless they are really not interested.
Of course, no one is not interested in today's plenary report, because its speaker is Li Mu.
Moreover, the theme of this report is the external force source internalization space, a new mathematical tool that has become very popular in the mathematics community recently.
The report starts in a few minutes, but the hall is already crowded.
First row position.
"Wiles, just tell me, has Li Mu really proved that problem?"
Next to Wiles, Deligne kept asking.
Of course, in the other seats next to him, various Fields Medal winners also cast inquiring glances.
For example, Terence Tao, who has traveled around Europe and is now on time to attend the International Congress of Mathematicians, and Faltings, who did not look over but pretended to be unconcerned with his eyes closed, was actually listening. There are slightly younger Fields Medal winners such as Peter Schultz sitting in the second row.
Wiles spread his hands in confusion and said, "I can't come."
"You are Li Mu's mentor, how could you not know?" Deligne said.
"The tutor doesn't have to instruct the students on the subject, not to mention that he has graduated long ago and is now my colleague." Wiles waved his hand.
"Li Mu must have not told you." Deligne rolled his eyes, irritating Wiles: "I don't believe you won't ask, can you bear it?"
Wiles: "..."
Well, he really couldn't hold it back at first.
Of course, he had already said that he would help Li Mu keep the secret, so he said helplessly: "Whatever you say, I really don't know."
His answer made all the Fields Medalists around him turn their heads away in disappointment, too lazy to look at him again.
Forget it, just concentrate on the report. Look at the time, the report is about to start.
Just like that, not long after, the time came to ten o'clock.
The report is about to begin.
Plovsky, the host who was the chairman of the organizing committee of the conference, came to the stage.
After the audience quieted down, Plovsky said with a smile: "Before this International Congress of Mathematicians officially started, there was a report that had attracted the attention of many colleagues. External force sources internalize space. As a new geometric space with a new definition and special properties, it is considered to be the most suitable new space for studying fluids."
"And this report, today, it came."
"Then, please let us applaud the speaker of this report and our current Fields Medal winner, Professor Li Mu!"
Applause rang out warmly, and along with the applause, Li Mu's figure also appeared from the side, and finally walked onto the stage.
Plovsky smiled at him and nodded, then handed the podium to Li Mu.
Li Mu was the only one left on the podium.
Facing an audience of more than 4,000 people in front of him, Li Mu felt no fluctuation in his heart and even wanted to laugh a little.
Of course, he did smile.
Even though it was the International Congress of Mathematicians and he was the one-hour plenary speaker, he had seen such a scene many times.
So there is no nonsense.
“It is an honor to be invited by the International Congress of Mathematicians to give a plenary lecture.”
"Of course, a few months ago, my report had already attracted the attention of many friends, and I was very flattered."
"Then, without further ado, let's start this report from now on."
As Li Mu moved his hand, the PPT page on the big screen behind him also moved.
"The external force source internalizes the space, a space I designed specifically for the study of fluid mechanics."
"It directly defines external forces as the internalized properties of the fluid based on the shape of the fluid, which will make our research on the fluid more convenient. "
"That's one of my goals."
"Next, let me first describe the derivation process of establishing this space..."
Li Mu turned around and started writing on the blackboard.
Then, the entire audience began to listen carefully.
From a basic point of view, it is not difficult to understand Lie space, so it is foreseeable that this new knowledge will become popular in the mathematical community in the future, so basically most people have studied it.
Of course, in this report, what they want to hear more is how Li Mu uses this new space.
This is the key.
Theory is important, and how you use it is equally important.
However, the basic content is quite different from the original text of Li Mu's report.
In this way, time passed quickly.
Fifty minutes passed quietly.
"...At this point, that's the main content of my report."
After writing the last result on the blackboard, Li Mu turned around and said to the audience.
Many listeners in the audience just woke up from a dream.
Is it actually over?
Many people were a little surprised.
"I actually understood Li Mu's report?"
This is the first thought in many people's minds.
Yes, Li Mu's report is not difficult to understand. Anyone who has read his report carefully can basically understand it.
Those who originally had problems with certain aspects of the report had their problems solved after Li Mu's narration.
For a moment, everyone who had participated in Li Mu's other reports before felt a little uncomfortable.
This big guy actually talked about simple things.
Not seeing each other for a few days, is it that simple?
The family members were devastated.
However, just when they were thinking this, Li Mu suddenly smiled again.
"In addition, I will use the remaining time to give a preview of my Fields Medal lecture two days later."
When everyone was stunned, he turned around and wrote a few more lines on the blackboard.
[N=pmf(x,y,z)……]
As soon as a few lines of simple formulas were written, those who were surprised that they actually understood Li Mu's report suddenly became confused.
ah?
What the hell is this?
However, many of the big guys sitting in the first few rows, who had not been very emotional during the report, suddenly opened their eyes at this moment.
"Hou Li Xie Te... Is this Boltzmann's equation? No, no, there is a certain difference..."
"What does he want to do? Rewrite the Boltzmann equation?"
…
Until finally, Li Mu finished writing all the formulas. He stopped writing, turned his head and looked at the people present.
"Then, that's the end of my report. I look forward to seeing you all again on the day of my lecture."
He bowed slightly.
But the audience in the auditorium seemed to hesitate for a moment before applause began from the back row.
Because the big guys in the front rows had been completely attracted by Li Mu's previewed moves, and almost forgot to applaud.
Wiles's eyes widened: "So... is this how to combine Lie space and Boltzmann's equation?"
Faltings, on the other hand, narrowed his eyes until finally, he was reminded by the applause from the back row and clapped his hands.
"Gelder, do you see anything?"
Beside Faltings, Terence Tao asked him.
Faltings' eyes said: "If the Li Space was good before, it was not perfect enough."
"Then his rewriting of the Boltzmann equation will make up for this shortcoming."
"I have a hunch that his lecture will be very interesting."
…
(End of chapter)
