From Almighty Scholar to Chief Scientist

"I came here precisely because Mr. Lin Xiao proved Hodge's conjecture that the one-year period expired."

An important proof like this obviously needs to be tested by the academic community for a period of time before it can be verified.

For example, after Perelman proved the Poincaré conjecture in 2002, it was not until 2010 that the Cray Institute officially held the award ceremony. Of course, the result was that Perelman never came at all.

Fefferman said with a smile: "It seems that you can really award this award."

Thomas Clay also nodded, and said with emotion: "Yes! This award can finally be presented."

In 2010, they held such a grand awards ceremony, but in the end, Perelman, the official, didn't want to come. This can be said to make their Clay Institute feel a little ashamed.

Good guy, the gimmick is so big, but in the end, the Lord doesn't want your award.

Of course, after all, Perelman was the one who rejected even General Fields, so it wasn't that surprising that he rejected their $100 million offer.

But now Lin Xiao is not as "immaterialistic" as Perelman is. He also accepted the Fields Medal back then, so he will definitely want their award.

So this Thomas Clay, is getting ready to host their first Millennium Puzzle Awards ceremony.

It's even ready for a second round.

And as a businessman, Thomas Clay also knows how much attention this matter will bring to them, which will be fed back to their family foundation at that time.

Thinking of this, Thomas Clay didn't wait any longer, and said with a smile: "Okay, Professor Fefferman, let's go in now, we can look forward to Professor Lin Xiao's report, I probably won't understand it, so I have to wait for you to come and tell me the result."

"No problem at all."

Fefferman nodded with a smile, and then entered the auditorium with Thomas Cray.

Along the way, they also met many well-known figures in the academic world, and Fefferman continued to communicate with these people.

"Hey, Wiles, sure enough, you are indispensable in this kind of place."

"Fefferman, what do you mean this kind of place can't do without me?"

"Nothing... um? Faltings, are you here too?"

"You're here too, so naturally I can come too. I'm not too old to walk."

"Hehe, that's good... Oh, Tao, you're here too."

"NS equation, I have studied it a little bit before, of course I want to come and hear how a more talented person solves this problem this time."

"...You call the work that played an important role in overcoming the NS equation just a little bit of research?"

"Well... I just know a little bit!"

"……All right."

Greeting these well-known mathematicians along the way, Fefferman also separated from Thomas Cray, and finally he came to his seat, which is also where the visitors of the Institute for Advanced Study in Princeton are.

"Feverman, you are finally here."

Seeing Fefferman, these mathematicians and physicists from the Institute for Advanced Study in Princeton greeted him one after another.

Fefferman nodded to them one after another, then sat back in his seat, and said with a smile: "Okay, let's wait for that genius and what kind of surprises he will bring us."

The others also nodded one after another, looking at the podium in front of them with anticipation.

Although Lin Xiao is always reducing the space they can study, after all, every time Lin Xiao solves a mathematical problem, it means that all the previous efforts of other people who are also studying this problem have been wasted, but the things he solved Problems always give them a sense of enlightenment, and then these conclusions or the methods used in the process can bring them very important ideas or inspirations, so that they can continue to study other things, and even develop , so this also makes mathematicians love and hate him.

Therefore, they are also looking forward to Lin Xiao being able to bring them something new this time.

In this way, time passed quickly.

At nine o'clock in the morning, the report meeting on the existence and smoothness of the solutions of the Navier-Stokes equation officially began.

The host came to the stage, took control of the stage, and silenced the audience, and then solemnly invited out today's protagonist.

"Tap tap~"

Following the sound of footsteps coming from the backstage of the rostrum, Lin Xiao also walked in front of everyone.

There was warm applause, and everyone present looked at Lin Xiao on the stage.

A well-tailored suit made Lin Xiao look very energetic, and it also made people realize that this genius actually looks like a handsome man, and the thick hair made many bald men in the audience They all gave birth to envy, such a smart person, how can he even have such healthy hair?

"Hello, friends who have come from afar, welcome to Shangjing University—oh, last year, many old friends have already been here, of course, there are some new friends, I also welcome them, all in all, very happy Nice to see you all here.”

At this time, Lin Xiao smiled and said.

Seeing so many people off the court, among them were many people he knew, he couldn't help feeling that although it wasn't at the same time, it was the same auditorium.

He was about to share his knowledge with the world again.

"Then, it's still the old rules. Let's stop talking nonsense and go directly to our topic today."

"A flaky stone is rotated and thrown towards the water surface in a flat manner, and then accompanied by ripples on the water surface, the stone miraculously realizes the gesture of a dragonfly on the water surface."

"So, what happened when the water surface came into contact with this stone? What about the subsequent movement of this fluid?"

"Then at this time, we will use the NS equation for analysis."

With that said, Lin Xiao clicked on the PPT and entered the first page.

And the people below, also because of Lin Xiao's opening remarks, followed him and entered into the thinking of this fluid mechanics problem.

"Now, we assume that this piece of water, or the density of the fluid is ρ, its initial velocity V is 0, and u, v, w are the velocities of the fluid at the point (x, y, z) at time t portion..."

As Lin Xiao started to talk about this issue, everyone present had various thoughts.

【Sij=1/2（αui/αxj＋αuj/αxi）……】

The narration began to gradually enter the depths, and some of the people present also began to enter a state of confusion. This kind of people basically belonged to entrepreneurs with relevant interests like Thomas Cray, and they just came to have a look Lin Xiao's proof can be recognized by these top mathematicians.

Of course, due to the screening of these participants, there are still quite a few people who can understand it.

It's just that, after all, only a small number of people can understand this top-level mathematical puzzle game, so in the end, more and more people fell into a daze and couldn't keep up with the rhythm.

In this way, Lin Xiao's narration came to his most critical method to solve this problem, which is his Lin's curvature tensor.

And following his narration, the top mathematicians below who could keep up were once again amazed by this method.

"That's how it feels! Just like the circle sieve method he used to prove Goldbach's conjecture, and the motive cohomology in Hodge's conjecture! Every time he creates a method, it makes people feel the wonderfulness inside. thought of!"

Underneath, Fefferman was incomparably amazed.

And Pompieri smiled and said: "Hehe, I have already seen from his paper that proved that there are infinitely many prime numbers in the Fibonacci sequence. The thinking of the function he built in it can only be true. Genius was done, as was the theory of group transformations he later proposed in the process of solving the distribution of Mersenne primes."

"Group transformation theory, I used it when I was researching a topic recently."

Deligne next to him also smiled.

Others nodded in agreement, and the physicist next to him also expressed the same emotion.

And at this moment, Pompieri suddenly asked Fefferman: "By the way, Charles, you seem to have said before that you have one more question about Lin's proof?"

Fefferman nodded, looked down at the paper in his hand, and said, "Yes, there is a very critical question."

Then, he looked up at Lin Xiao on the stage again: "Maybe, my problem will make Lin Xiao stumped? After all, I have studied for a long time, and I don't know how to solve this problem."

Everyone else suddenly became curious.

Fefferman also studied the problem that has not been solved for a long time?

They couldn't help but look forward to the time when Fefferman asked this question.

So they stopped talking and looked at Lin Xiao quietly on the stage, waiting for his report to end.

Chapter 3 Sixty Thank you for asking a fatal question?

Time passed quickly, the paper was very long, and Lin Xiao's narration was also long.

Especially after he proposed Lin's curvature tensor method, he needed to use a large number of calculation processes handled by this method. It took him a month to complete the entire calculation process. At the same time, due to the extremely complicated The calculation is very necessary, so in this report, he also had to spend more time explaining this part of the content.

In fact, many mathematicians who have read his proof have some problems in this part of the content, so after his narration, these mathematicians have no problems, and then they can't help but think in their hearts. As expected of Lin Xiao, he was able to explain such a complicated calculation process so clearly.

If the Lin's curvature tensor proposed by Lin before is an amazing creation, then this calculation is Lin Xiao's show off.

After all, among the people present, everyone can calculate, but not everyone can achieve such a calculation amount and calculation speed.

Most of them, if they want to talk, will probably just say "because this calculation is too long, I won't go into details."

But obviously, saying this will affect the integrity of this academic report, and now, Lin Xiao's complete narration of this part will undoubtedly make this report perfect.

Even Tao Zhexuan, who was sitting below, couldn't help being amazed at this moment: "As expected of Lin Xiao, this calculation even seems to me to feel a bit of a headache, it's really powerful."

While everyone was amazed at this show, more than two hours had quietly passed.

Of course, the entire proof process has finally come to an end.

"... So in summary, we can be sure that the solution of the NS equation exists and is smooth."

"The mystery of the solution of the NS equation has been uncovered by us so far, allowing us to see its fundamental nature."

"The momentum of each fluid unit can be unraveled, and they have laws that can be controlled by us, and its final solution will be the key to all of this."

In fact, it is already under control.

Lin Xiao smiled, and then continued: "Of course, what the solution of the NS equation looks like is still to be developed by us. This ultimate problem of classical physics has not been completely solved in our hands."

"However, I believe that Da Vinci's dream, we will finally be able to achieve it, and the goals of many mathematicians and physicists will also be achieved by us. So, now let us look forward to that day. Bar."

Speaking of this, Lin Xiao also let out a sigh of relief.

"Then I think this is the end of my proof, thank you all."

Applause broke out suddenly, and everyone below applauded Lin Xiao to express their respect.

Regardless of the final result, Lin Xiao was quite serious when he spoke for more than two hours.

Then, as the applause stopped, Lin Xiao announced that he would enter the next session: "Then, let me challenge you with your questions."

There was laughter in the audience, challenge?

It's pretty similar.

Of course, the vast majority of people in these seats have been waiting a long time.

Soon, a pair of hands were raised, and these mathematicians had been waiting for a long time.

This time, there are many more people asking questions than before, because there are many people who study the NS equation, so more or less they have problems with Lin Xiao's proof.

After that, Lin Xiao named the questioners one by one, and then answered them.

The first was a professor from the International Institute of Mathematics, Beijing University. Lin Xiao left the first question to his own people.

The professor asked: "Professor Lin, according to your definition of ▽F(T, X) on page 2.1 (0), the general form of the identity of △·FT=[-] can be deduced, but I want to know, do you want How to solve the problem of system consistency?"

Lin Xiao smiled and said, "Good question."

Then he also picked up his paper, looked at it a few times, then picked up the chalk, and started writing on the blackboard next to it.

"First, look at the two algebraic identities I proposed in my thesis."

[αXj(αdetF)/αF=0 and...]

"Through these two algebraic identities, we can easily obtain the following result."

【αXj（detF*F－T）=0】

"Thus, we can get constraints on the deformation tensor F."

【▽j[Fjk^T/detF]=……】

A lot of complicated formulas appeared in Lin Xiao's pen, and the Peking University mathematics professor who asked the question followed Lin Xiao's train of thought and quickly understood how to answer his question.

Showing a suddenly realized expression, he smiled and said, "Thank you, Professor Lin, I understand."

"You're welcome."

Lin Xiao smiled slightly, and then continued to ask the next question.

Questioning is also a test of level. The more powerful a mathematician is, the more critical questions he will naturally be able to ask, or in other words, the most fatal questions in the entire proof process.

However, the mathematicians who ask questions now basically ask questions that they are not clear about.

So Lin Xiao quickly solved all these problems.

In this way, fewer and fewer people raised their hands, until finally, no one asked questions.

Seeing that no one raised their hands, Lin Xiao smiled slightly, thinking that basically no one had any problems, so he asked procedurally, "Does anyone have any problems?"

Seeing this scene, most of the people below thought there was no problem, so they all felt emotional in their hearts. Lin Xiao once again solved a famous problem in the mathematics world.

Two of the remaining six Millennium Prize problems were miraculously solved within two years... Oh no, strictly speaking, the time difference between the two is only one year.