Scholar’s Advanced Technological System

Upon hearing this sentence, Professor Fefferman squatted. Fiction.

Soon, his look was slightly neat and he asked seriously.

“Can you elaborate?”

"Of course," Lu Zhou picked up the chalk. "However, I need to use the blackboard."

Once the idea is opened, the calculation is just a matter of course.

It took about half an hour to fill the blank blackboards on both sides.

Two steps back, Lu Zhou looked at the calculations on the blackboard and gently measured the half of the chalk in his hand, saying in a positive tone.

"In summary, according to the abstract proof method, we can only conclude that there is t1 (>0), so that the weak solution is smooth in the local time (0, t1). The value of this t1 has yet to be determined. ”

This conclusion is very different from the final conclusion of the millennium problem. As for how big it is, it is probably equivalent to Newton's law of motion to the special theory of relativity.

The former defines the specific case of the initial value and only applies to the finite time domain. Regarding the millennium problem of the ns equation, the whole situation of the existence and smoothness of the solution of the ns equation under three-dimensional conditions is discussed.

The reason why the equation they constructed exploded at an unknown specific value t=t1 is precisely because the specific value is outside the interval of (0, t1).

Just as Newton's law of motion is only applicable to low-speed motion, it is not applicable in the case of high-speed motion...

After listening to Lu Zhou’s statement, Fefferman was speechless.

"...Since you have known that this is wrong, why not tell me earlier."

Lu Zhou coughed and said with apologetic, "...I thought about it now."

Staring at the blackboard for about ten minutes, Professor Faufman, who had read these steps again, sighed softly.

"You are right, our previous ideas are not perfect..."

A lot of things, once broken, are actually less mysterious.

After a pause, Prof. Fefferman turned and continued. "However, as you said, if we can give a certain t1 value, we can determine the ns equation in a specific time interval. There is a smooth solution."

Lu Zhou stunned slightly, but he did not expect him to be so persistent in the method of abstract proof.

After pondering for a while, Lu Zhou added one sentence.

"Light is not enough. We must distinguish the original operator b and the constructed bilinear operator b\' in a precise way."

Professor Fefferman sighed: "I know what you said. But compared to reopening a new idea, I still feel that it is more appropriate to continue to go on the original research results. At least in my opinion, abstract proof. The approach still has potential."

After a moment of silence, he finally made a decision.

"Since we are all suitable for independent research, we will do it separately."

Although he is also optimistic about the new ideas provided by Lu Zhou, the method of abstract proof does not intend to give up so easily.

In this case, the two people will start from both directions at the same time.

So many roads, there is always one that leads to Rome.

Lu Zhou nodded and agreed with Professor Fefferman's proposal.

"This is the best choice."

The study of mathematical propositions can be carried out in the discussion, but discussion and research is never the only option.

In the evening, after returning to the home after running late, Lu Zhou went to the study after taking a shower, opened the laptop, and continued to make final changes to the electronic file of the "l-shaped" paper.

The research on l manifold is actually a very good research result.

Just like the bilinear operator b\' constructed by Professor Fefferman, even if the existence of the solution of the ns equation cannot be directly solved, it can be published as an independent research result in the top publication.

Even if it is reported at the International Mathematical (imu) conference in August, it is more than enough.

As for its specific use?

Studying the solution of the ns equation is definitely the most important. In addition, it can perform "topological surgery" on some complex nonlinear differential structures like other differential manifolds, making those complicated problems seem less. complex.

As for the use of other fields, that is the case of other researchers.

Perhaps one day, its research results in unexpected brilliance in theoretical physics or engineering, and these are not good.

Staring at the computer screen, Lu Zhou was silent for a long time, and finally decided to submit the paper on the manifold to the "Year of Mathematics".

As for the imu conference in August...

He still decided to use the ns equation as a gift to the international mathematics community.

Even this decision seems to be full of challenges.

After all, his research on the ns equation has only a vague grasp.

Before any idea goes to the end, it is not good to say whether it is correct or not.

Soon after Lu Zhou uploaded the manuscript, the paper on the manifold has just passed the examination of academic editors and entered the peer review section. The paper on the spectacle of Kakutani will follow the new issue of Mathematical Yearbook and the entire international mathematics. The world met.

Also as Lu Zhou had expected.

Once this paper was published, it caused a lot of sensation...

......

Opened the university, Chen Shengshen Institute of Mathematics.

Spread out on the table, it is the latest issue of the Mathematics Yearbook.

Reading the paper from the beginning to the end, Academician Zhang Yuping sighed with a sigh of relief.

“I don’t think it’s Professor Lu. I didn’t expect him to have a set of research, and the students who taught it are not simple...”

The student of Qin Yue, Academician Zhang, knows, and even writes a recommendation letter to him. He is recommended to go to Princeton to study for a master's degree.

To be honest, when he was encouraged to report to Professor Lu’s master's degree, Director Zhang did not hold much hope.

Because catching up with Goldbach's conjecture to prove that special time point, the entire mathematics community may not have a professor, more "hot" than Professor Lin of Princeton.

After all, that is the Goldbach conjecture.

It was once hard to live with Gauss and Euler, and it is the crown of the number theory.

So far, the "People" magazine, which is separated from the academic world by a hundred thousand miles, has paid attention to the mathematics community.

Standing next to the academician Zhang, Professor Fu Lei, director of the Institute of Mathematics of Chen Shengshen.

Compared with Zhang, the director is slightly younger, but he is also an influential big cow in the Chinese mathematics community.

Like Zhang, who studies differential geometry, the main research direction of this director is not the field of number theory, but group theory, but this does not prevent him from understanding the academic value of this paper.

Silence for a while, Professor Fu asked.

"You said this paper... is it really written by his students?"

Academician Zhang smiled. "Otherwise? Who else is so generous and gives his research results to students?"

Regarding the identification of research results, this involves the issue of academic ethics.

In general, it is already a very effective instructor without robbing students of their research results.

As for dishonest boasting of the work of college students in research, they will in turn give their research results to students...

But normal people will not do this.

Although I understand this, Professor Fu can't help but say: "But I don't understand a bit. You said that since his students can do it, why don't he do it himself?"

"You don't think too much about this thing. For that genius, you can't use the logic of normal people to speculate," Zhang said. He laughed and continued. "Maybe for him, this problem is simply not caused. His interest was then handed over to the students."

The director did not believe it because it sounded too ridiculous.

The corner valley guess is not something else.

Although there are not many people who really study it, there are many people who pay attention to it.

He asked himself, changing to be himself, it is impossible to be completely tempted. After all, with this achievement, as long as the age and qualifications are enough, if you work a little bit, the title of a mixed Yangtze River scholar and even an academician is not a problem.

I saw that I didn’t believe in the face of the director. Academician Zhang just smiled, but did not explain anything.

After all, he said that such people still exist in the history of mathematics, and there are still many.

Such as Grottendick, such as Hilbert...

They are all great men who can be included in the world of mathematics history.

Compared with these great men who created an era, perhaps Lu Zhou is still far away, but there is no chance to go there. After all, the talent he showed at this age has reached a jaw-dropping level, and his future path is still long and long...

After a moment of pause, Academician Zhang said with a smile.

“It’s normal to be uninterested. I’ve only heard that Professor Lu is currently working on a big project. In contrast, the Corner Guess is nothing.”

"Lianjiao Guzheng can't compare with it?" Fu Lei squinted slightly, frowning. "Is it a chemical? Or a physical problem?"

Zhang Academician smiled and laughed: "It has nothing to do with chemistry. It has something to do with physics, but the relationship is actually not very big."

Fu Lei couldn't help but ask: "What is it?"

"With regard to the existence and smoothness of the solution to the ns equation," looked at the window with a look of fascination, Academician Zhang said in a sigh of emotion, "that is, we call one of the seven great problems."

Fu Lei looked shocked.

After a while, he was hard to speak.

"...has he already reached this level?"

"Otherwise?" President Zhang smiled. "Do you think that the country will award the first prize of the natural sciences to an elderly person in his 20s?"

He just heard about it.

Before the start of the Science and Technology Awards Conference, the leaders of the Ministry of Science and Technology once rumored to the higher level that the first prize of the natural science should not be so sloppy.

After all, a 20-year-old winner is not only full of uncertainty, but also lowers the average age of the winners by a few years.

However, the final result, everyone saw it, and the top management finally decided to award the first prize in the natural sciences.

As for the reasons, there are many rumors.

Among them, the most credible and widely circulated rumors in the academic world, it is said that later academics have rumored to the top, that the award committee should bravely break this precedent.

As for the reasons for finally persuading the top, there is only one.

That is the rare sound of the International Federation of Mathematicians. In August, the Fields Prize, more than 90% of the probability will be awarded to Professor Lu, who was invited to participate in the one-hour report. Not only that, he also won the favor of Professor Noel, the Nobel laureate in Chemistry, in Germany, and he will be nominated for this year's Nobel Prize in Chemistry.

For such scholars who have created miracles in a row, even if Academician Zhang can't believe that he can solve the legendary millennium problem, he can't help but believe that he can do it.

Because this name always comes along with miracles.

"...if you can bring this kind of cow to our institute, it will be fine." Silence for a long time, Professor Fu whispered.

Of course, he is also yy.

If Professor Lu returns to China, he must go to the institute named after his own name.

Just like they opened the Chen Institute of Mathematics, like the Qiu Chengtong Math Center of Shuimu...

After listening to the director, Dr. Zhang laughed and laughed. "Don't think about it, the god, we must not come to this small temple. But his students, we can still try to contact."

Professor Fu: "What do you mean?"

In a serious tone, Academician Zhang continued: "I will write to the above and recommend that Qin Yue’s name be placed on the list of thousands of people..."

"Whether he intends to return to China to study or continue his studies, we can start preparing in advance!"