All in all, as the news of Li Mu's winning the Fields Medal spread rapidly, those who knew him well expressed their great joy about it.

Like Li Ruyu on this day, as long as she knew that her younger brother was Li Mu's, they all congratulated her, and in their family, Li's father and Li mother both laughed happily for this, and they almost didn't put on a feast for this.

Of course, even if there was no big feast, they still invited some relatives and friends to celebrate the event.

In addition, they also received various congratulations at their workplaces.

To this day, Li's father and mother have all been promoted in their units because of Li Mu, including the kind of positions that everyone envies.

而现在，他们的孩子代表华国拿到了华国人的第一个菲尔兹奖，如果给他们这些老一辈的人讲述李牧解决的那些问题有多么困难，他们大概还不会太过清楚，但如果给他们讲诺贝尔奖的话，他们肯定就能够理解。

This is known as the Nobel Prize in mathematics, and you can tell how powerful it is just by hearing it.

In the future, Li's father and mother will probably get more support at work because of this incident.

Of course, that's all for later.

In addition to his relatives, Li Mu's former alma mater, where he received his education and grew up, is of course the most exciting.

Li Mu's high school, Qin'an City No. 83 Middle School.

The school found the graphic advertising studio at the school gate overnight and set a red banner, and then hung it high on the gate of the school gate.

[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 already hung up red banners.

Just kidding, you have to let others know that Li Mu came out of their school, right?

Even the kindergarten that Li Mu studied in that year began to think about whether to hang a banner as well.

Of course, the alma maters of these primary and secondary schools are already so crazy, not to mention Li Mu's university, Shanghai Jiaotong University.

沪交大学的每个校区的每个校门上，都挂上了红幅，上面写着的内容是：【热烈庆祝我校2018届学生、终身名誉教授李牧教授，获得菲尔兹奖！ 】

There are a lot of talents who have gone out from Shanghai Jiaotong University, but they are unique in being able to win the Fields Medal.

In other words, for the entire Chinese universities, they are unique.

Even although Qiu Chengtong's ancestral home is in Guangdong Province, his family immigrated to Xiangjiang in 49 years, and the university was also studied at the then Xiangjiang Chinese University.

Therefore, for Shanghai Jiaotong University, this is of course a matter worth publicizing.

Of course, the atmosphere of the whole school is very warm, as if it is the New Year.

The students of the whole school know their seniors and get such top awards.

All of a sudden, the classroom where Li Mu once attended, as well as the dormitory where he used to be, as well as his seat and his bed...... They have become "scenic spots" to be watched.

It just so happens that it's the holidays now, and the seniors have all graduated and left school, so there are basically no people here.

It is also convenient for those younger students to watch - as for why girls can enter the men's dormitory, it is very common in universities.

Of course, in addition to the fact that "checking in to the holy land" 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 the New Year.

Outside the two colleges, there are individually made banners.

The banner of the School of Physics reads: "Congratulations to Mr. Li Mu, tenured honorary professor of the School of Physics, for winning the Fields Medal", and the School of Mathematics naturally replaced 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, especially in the sign to greatly emphasize the "mathematics award".

A discerning person can see at a glance that this is a run on the School of Physics.

After all, the School of Physics and the School of Mathematics were well-known in the whole school for fighting for Li Mu, and the deans of other colleges had laughed at Pang Ming and Qi Tao several times for this.

It's just that now I look at it......

The other deans could only say that the back molars were crushed at this moment.

Damn, this is a Fields Medal!

……

菲尔兹奖的消息，令整个学术界都因之沸腾了许久。

After all, as an award with the same status as the Nobel Prize, the world's major universities will specifically mention the number of Nobel Prize and Fields Medal winners when introducing their alumni.

Even at this moment, all the scholars who are attending the International Congress of Mathematicians in St. Petersburg can't help but feel a surge of excitement and fascination when they recall the award ceremony at the opening ceremony from time to time.

Of course, no matter what, time doesn't stand still because of one thing.

The other projects of the International Congress of Mathematicians also officially started after the opening ceremony.

The academic reports that followed gradually became the focus of attention of these participating mathematics scholars.

……

In the hotel room where Li Mu and his entourage stayed.

In front of the table, Li Mu was writing something on the desk.

On the side, Wiles was also watching what he wrote, which was exactly what was related to the report.

He asked, "There has been rumor circulating before, and you have proven that problem, but the content of your report tomorrow seems to be only your Li space?" ”

After such a period of time, the space of internalization of the external force source named by Li Mu has been simply called the Li space.

After all, it's more convenient.

Li Mu didn't stop the pen in his hand, but simply gave a simple answer: "Tomorrow is July 8th, and my Fields Medal lecture is scheduled for July 10th." ”

As soon as Wiles's brows moved, he remembered that a few months ago, Li Mu had said that he would see if the IMU would give face.

And now look......

"It seems that the IMU you said at the beginning didn't give you face, and it really meant the Fields Medal!"

He smiled and said, "You have already counted this Fields Medal lecture." ”

began to lock in the Fields Medal a few months in advance, and even put the idea on the Fields Medal lectures, probably only Li Mu can do it.

"So, you're preparing a report on the Fields lectures?"

Li Mu bowed slightly.

Wiles leaned in, looked at it a few more times, and finally frowned.

"This seems to be the Boltzmann equation?"

"Are you going to use the Boltzmann equation to solve this problem?"

"Yes."

Li Mu nodded.

"Boltzmann's equation...... Boltzmann's equation ......"

Wiles groped his chin and thought for a moment, then finally shook his head and said, "I can't figure out how to fix it." ”

Li Mu smiled: "Then let's wait until July 10th." ”

Wiles smiled and nodded, "Of course, I'm already looking forward to how you're going to relate the Boltzmann equation to Lee's space, and the Neville-Stokes equation." ”

"It sounds incredible."

At this time, Wiles asked curiously: "However, I remember that the Fields Medal lecture is only an hour, can you finish it in an hour?" ”

Li Mu's smile remained unchanged: "Then it depends on the IMU and the organizing committee of this conference, whether they will give face." ”

Wilese was stunned for a moment.

It also depends on the IMU, and whether the organizing committee of this conference will give face?

Don't......

"You'd like to do a third debrief!?"

Wiles asked, surprised.

Li Mu smiled and said nothing, but obviously acquiesced.

Wiles was stunned for a moment, and suddenly felt that at this moment, there was a sense of immediacy, as if he had seen it somewhere.

Soon he remembered, isn't this what he did back then?

Three presentations to complete the final proof......

Wait," you mean to say, you're really proving success? ”

Suddenly Wiles realized that he had almost forgotten the point.

In the past, they all assumed that Li Mu might have completed the proof, but it was only hypothetical and possible, not that Li Mu had really proved it.

And look at his current performance......

Li Mu was still smiling and silent, but Wiles had already grasped the meaning of his smile.

After a long silence, Wiles took a deep breath and said, "Okay, it seems that I don't need to ask any more questions. ”

"I'll keep this secret for you until after your third report."

"I can't wait."

Saying that, Wiles turned around and left, not continuing to bother Li Mu, but when he walked to the door, he suddenly asked again: "What if they don't give you face?" ”

"Then of course it's going to be reported at Oxford."

Wilesa smiled suddenly, "If that's the case, I think Dean Taylor will be very happy." ”

"Of course, I think that after your second report is over, the IMU will definitely give you this face."

The IMU would be crazy to reject the proof of the millennial conundrum.

……

The next day, July 8.

9:50 a.m. local time.

St. Petersburg International Conference Center, Conference Hall No. 1.

Conference Hall 1 is the largest conference hall of the St. Petersburg International Conference Center, and the venue for the opening ceremony of the International Congress of Mathematicians.

Of course, all the one-hour plenary presentations were also held in Conference Hall 1.

This is also unique to the one-hour plenary presentation, and not many participants will be absent from the plenary session 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 also the internalization space of external force sources, a new mathematical tool that has recently become very popular in the mathematical community.

The report still had a few minutes to go, and the hall was already crowded.

Position in the first row.

“怀尔斯，你就说一下，李牧是不是真的已经证明了那个问题？”

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, Tao Zhexuan, who traveled around Europe and is now on time to attend the International Congress of Mathematicians, and Faltins, who did not look at it, pretended to close his eyes and did not care, but was actually listening, and Peter Schultz, who sat in the second row, and other slightly younger Fields Medal winners.

Wiles spread his hands blankly and said, "I can't get it." ”

"You are Li Mu's mentor, how could you not know?" Deligne said.

"The tutor doesn't have to instruct the student's topic, not to mention that he has already graduated and is now my colleague." Wiles waved his hand.

"It must be that Li Mu didn't tell 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 back.

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 anyway." ”

His answer made the surrounding Fields Medal bigwigs look disappointed, too lazy to look at him again

Forget it, concentrate on the report, look at the time, the report is about to start.

And so, it didn't take long for the time to come to ten o'clock.

Report, it's time to begin.

Plovsky, the moderator of the organizing committee of the conference, took the stage.

After the audience fell silent, Prowski said with a smile: "Before the official start of this International Congress of Mathematicians, there was a report that has attracted the attention of many peers, and the external force source internalization space, as a new geometric space, with a new definition and special properties, is considered to be the most suitable new type of space for the study of fluids. ”

"And this report, today, it's coming."

"Then, please join us in applauding the speaker of this report, who is also our winner of this year's Fields Medal, Professor Li Mu!"

掌声热烈地响起，伴随着掌声，李牧的身影也随之从一边出现，最后走上了台。

Provsky smiled at him and nodded, then handed the podium to Li Mu.

Li Mu was the only one left on the podium.

Facing the more than 4,000 listeners in front of him, Li Mu had 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, he was the speaker of the whole session for an hour, but he had seen such a scene many times.

So no nonsense either.

"It is a great honor to be invited by the International Congress of Mathematicians to give a plenary speech."

"Of course, a few months ago, my report had already attracted the attention of many friends, and I was very flattered."

"Well, don't talk nonsense, this report, let's start now."

As Li Mu's hand moved, the PPT page on the big screen behind him also moved.

"External sources internalize space, a space that I designed specifically for the Institute of Fluid Mechanics."

"It directly defines external forces as internalized properties of fluids based on the shape of the fluid, which makes it easier for us to study fluids. ”

"That's one of my purposes."

"Next, I will first talk about the derivation process of the establishment of this space......"

Li Mu turned around and began to write on the blackboard.

Then, the audience also began to listen carefully.

Basically, it is not difficult to understand Lee's space, so it is foreseeable that this new knowledge will become widespread in the mathematical community in the future, so basically the vast majority of people have studied it.

Of course, in this report, what they want to hear more is how Li Mu uses this new space.

That's the key.

Theories are important, and so is how they are used.

However, in terms of basic content, it is also very different from the original text of Li Mu's report.

And just like that, time passed quickly.

Fifty minutes went by quietly.

“…… That's all for my report. ”

Writing the final result on the blackboard, Li Mu turned around and said to the audience.

Many of the audience woke up like a dream.

Is it over?

Many people were a little surprised.

"I actually understood Li Mu's report?"

This is the first thought on the minds of many people.

Yes, Li Mu's report is not very difficult to understand, as long as you read his report carefully, you can basically understand it.

And the people who originally had problems in some places in the report were also solved after Li Mu's story.

For a while, everyone who had participated in Li Mu's other reports before was a little unaccustomed.

This big guy actually talked about simple things.

I haven't seen you for a few days, it's that simple?

Downcast family.

However, just when they were thinking this in their hearts, Li Mu suddenly smiled slightly.

"Also, with the rest of the time, I'll give a preview of my Fields Medal lecture in two days' time."

Everyone was stunned, he had already turned around and wrote a few lines on the blackboard.

【N=pmf(x，y，z)……】

As soon as a few lines of simple formula were written, those who were surprised that they actually understood Li Mu's report suddenly became confused.

Yes?

What the hell is this?

However, many of the big bulls sitting in the first few rows did not have much emotional fluctuation during the reporting process, but at this moment, their eyes suddenly widened.

"Gift Crab Special ...... Is this the Boltzmann equation? No, no, there is a difference......"

"What is he trying to do? Rewriting the Boltzmann equation? ”

……

Until finally, when Li Mu finished writing all the formulas, he stopped writing, turned his head, and looked at the people present.

"That's all for my presentation, and I look forward to seeing you all again on the day of my lecture."

He bowed slightly.

But the audience in the hall seemed to hesitate for a moment before applause rang out from the back row.

Because the bigwigs in the front rows have been completely attracted by the few styles predicted by Li Mu, they almost forgot to applaud.

Wiles' eyes widened: "It turns out ...... How does Lee's space and the Boltzmann equation be combined? ”

Faltins, on the other hand, squinted his eyes until the end, reminded by the applause in the back row, and clapped his hands.

"Gerd, do you see what's going on?"

Faltins' side, Tao Zhexuan asked him.

Faltins said with a look in his eyes: "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 lectures will be interesting."

……

(End of chapter)