Chapter 415

Hearing this sentence, Professor Fefferman was stunned.

Soon, his expression adjusted slightly, and he asked seriously.

"Can you elaborate?"

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

Once the idea is cleared up, the calculation is nothing but a matter of course.

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

Taking two steps back, Lu Zhou looked at the calculation formula on the blackboard, lightly weighed the half of the chalk in his hand, and said in an affirmative tone.

"In summary, according to the abstract proof method, we can only conclude that there is T1 (>0), making the weak solution smooth in the local time (0, T1). And the value of this T1 has yet to be determined. "

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

The former restricts the specific situation of the initial boundary value and is only applicable in the finite time domain, while the millennium problem of the NS equation discusses all situations of the existence and smoothness of the solution of the NS equation under the three-dimensional condition.

The reason why the equation they constructed exploded at an unknown specific value t=T1 is precisely because the specific value exceeded the interval of (0, T1).

Just like Newton's laws of motion only apply to low speed motion, they don't apply to high speed motion...

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

"...Since you already knew it was wrong, why didn't you tell me earlier."

Lu Zhou coughed dryly, and said embarrassingly, "...I just thought of it now."

Staring at the blackboard in silence for about ten minutes, Professor Fefferman, who re-read the steps, sighed softly.

"You're right, our previous line of thinking wasn't perfect..."

Many things, once revealed, are actually not so mysterious.

After a pause, Professor Fefferman changed the subject and continued, "However, as you said, if we can give a definite T1 value, we can confirm that the NS equation is within a specific time interval, There is a smooth solution."

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

After pondering for a while, Lu Zhou added something.

"This is not enough, we must use an accurate method to distinguish the original operator B from the constructed bilinear operator B'."

Professor Fefferman sighed: "I know what you said. But compared to opening up a new line of thought, I still think it is more appropriate to continue on the original research results. At least in my opinion, the abstract proof approach still has potential."

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

"Since we are all suitable for independent research, let's do it independently."

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

In this case, it is good for two people to start from two directions at the same time.

There are so many roads, there is always one that leads to Rome.

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

"It's the best option."

Research on mathematical propositions can be carried out in discussions, but discussion research is never the only option.

At night, after a late run, Lu Zhou returned home. After taking a shower, Lu Zhou went straight to the study, opened his laptop, and continued to make final revisions to the electronic file of the "L Manifold" thesis.

The research on L-manifolds is already a very outstanding research result.

Just like the bilinear operator B' constructed by Professor Fefferman, even if it cannot directly solve the existence of solutions to the NS equation, it can be published as an independent research result in the top journal.

Even, even if it is reported at the International Conference of Mathematicians (IMU) in August, it is more than enough.

As for its specific use?

The study of 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 complex problems look less complex.

As for the usefulness in other fields, that is the business of other researchers.

Maybe one day its research results will shine unexpectedly in the field of theoretical physics or engineering, and these are not good.

Staring at the computer screen, Lu Zhou was silent for a long time, and finally made up his mind to submit a paper on L-manifolds to the "Annals 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, so far, his research on the NS equation has only a vague grasp.

Before any idea comes to the end, whether it is correct or not is hard to say.

Not long after Lu Zhou uploaded the manuscript, the paper on L-manifolds had just passed the inspection of academic editors and entered the peer review process. world met.

It was just as Lu Zhou had expected.

Once this paper was published, it caused quite a stir...

...

Nankai University, Chern Institute of Mathematics.

Spread out on the table is the latest issue of "Annual of Mathematics"

After reading the paper from the beginning to the end, Academician Zhang Weiping sighed softly and said with emotion.

"As expected of Professor Lu, I didn't expect that he is not only good at research, but also the students he teaches are not simple..."

Academician Zhang knew Qin Yue's student, and even wrote him a recommendation letter, recommending him to go to Princeton to study for a master's degree, and it was himself.

To be honest, when he encouraged him to apply for Professor Lu's master's degree, Dean Zhang didn't hold out much hope.

Because of catching up with the special time when Goldbach's conjecture was proved, there is probably no professor in the entire mathematics world who is more "popular" than Professor Lu from Princeton.

After all, that is Goldbach's conjecture.

Once stumped Gauss and Euler, the crown of number theory that has attracted much attention.

So much so that "People" magazine, which is thousands of miles away from the academic world, has cast its attention on the mathematics world.

Standing next to Academician Zhang was Professor Fu Lei, director of the Chern Institute of Mathematics.

Compared with Academician Zhang, this director is a little younger, but he is also an influential big cow in the mathematics circle of Huaguo.

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

After a long silence, Professor Fu asked.

"You said that this paper... was really written by his students?"

Academician Zhang smiled, "Otherwise? Who else is so generous to give their research results to students?"

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

Generally speaking, it is already quite a moral mentor not to snatch the research results of the students.

As for dishonestly exaggerating a student's work in research and in turn giving the student the results of his own research...

But any normal person would not do this.

Although he understood this, Professor Fu couldn't help but said, "But I don't understand one thing. You said that since his students can do it, why doesn't he do it himself?"

"Don't think too much about this kind of genius, you can't use the logic of normal people to speculate about that kind of genius," Academician Zhang smiled and continued, "Maybe for him, this kind of problem is simply that it can't be caused. His interest, so he left it to the students to do it.”

Director Fu had a look of disbelief, because it sounded a bit too unbelievable.

Kakutani conjectures nothing else.

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

He asked himself, if it were him, it would be impossible for him not to be moved at all. After all, with this achievement, as long as the age and qualifications are enough, with a little work, it is not a problem to get the title of Changjiang scholar or even academician.

Seeing the disbelief on Director Fu's face, Academician Zhang just smiled, but didn't explain anything.

After all, the kind of people he mentioned still exist in the history of mathematics, and there are still many.

Such as Grothendieck, such as Hilbert...

Without exception, they are all great men who can be included in the history of world mathematics.

Compared with these great men who created an era, perhaps Lu Zhou is still far behind, but it is possible that he has the opportunity to reach that step. After all, the talent he displayed at this age has reached a jaw-dropping level, and he still has a long way to go in the future...

After a pause, Academician Zhang said with a smile.

"It's normal not to be interested. I just heard that Professor Lu is working on a big project recently. In contrast, Kakutani's conjecture is nothing."

"Even Jiaogu's conjecture can't be compared with it?" Fu Lei was slightly stunned, and frowned, "Could it be some kind of chemistry? Or something like physics?"

Academician Zhang chuckled: "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 asking: "What the hell is it?"

"About the existence and smoothness of the solution of the NS equation," Academician Zhang said with a sigh of relief looking out the window, "it is one of the seven millennium problems we call."

Fu Lei was shocked.

After a while, he struggled to speak.

"...Is he already so strong?"

"Otherwise?" Dean Zhang smiled, "Do you think that the country will make an exception to award the first prize in natural science to a young man in his 20s?"

He also just heard.

Before the Science and Technology Award Conference began, the leaders of the Ministry of Science and Technology once advised their superiors that the first prize in natural science should not be awarded so hastily.

After all, a winner in his 20s is not only full of too many uncertainties, but also directly lowers the average age of the winners by several years.

However, the final result was seen by everyone, and the top management finally decided to award this first prize in natural science.

As for the reason, there are many rumors.

Among them, the most credible and widely circulated rumor in the academic circle is that some people in the academic circle later advised the high-level officials that the award committee should bravely break this precedent.

As for the final reason to convince the high-level, there is only one reason.

That was the rare rumor from the International Union of Mathematicians that the Fields Medal in August has a probability of more than 90% to be awarded to Professor Lu who was invited to participate in the one-hour report. Not only that, he was also favored by Nobel Prize winner Professor Eitel when he was in Germany. If nothing else, he will be nominated for this year's Nobel Prize in Chemistry.

For such a scholar who has continuously created miracles, even though 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 of this name, miracles always appear together.

"...It would be great if we could invite such a talented person to our research institute." After a long silence, Professor Fu sighed softly.

Of course, he is under YY.

If Professor Lu returns to China, he will definitely go to the research institute named after him.

Just like the Chern Institute of Mathematics they opened, like the Yau Mathematics Center in Mizuki...

After hearing what the director said, Academician Zhang laughed, "Don't think about it, that god, we definitely can't invite him to this small temple. But we can still try to contact his students."

Professor Fu: "What do you mean?"

Putting on a serious tone, Academician Zhang continued: "I will write to the higher authorities, recommending that Qin Yue's name be included in the list of the Thousand Talents Plan..."

"Whether he plans to return to China for research or to continue his studies, we can start making preparations in advance!"