Hearing this, Professor Feverman was stunned.

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

"Can you elaborate?"

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

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

It took about half an hour for both blank blackboards to fill up.

Taking two steps back, Lu Zhou looked at the equation on the blackboard, gently 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 T1 (>0) exists, making the weak solution smooth in 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 millennial conundrum, and how big it is, it is probably equivalent to Newton's laws of motion to special relativity.

The former limits the specific case of the initial boundary value and applies only to a finite time domain, while the millennial problem of the NS equation discusses all the cases of the existence and smoothness of the solution of the NS equation under three-dimensional conditions.

And the reason why the equation they construct explodes at an unknown specific value t=T1 is precisely because that particular value is outside the interval of (0,T1).

Just as Newton's laws of motion only apply to low-speed motion, they do not apply to high-speed motion......

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

“…… Since you already knew this was wrong, why didn't you tell me sooner. ”

Lu Zhou coughed dryly and said embarrassedly, "...... I'm just thinking about it now. ”

Professor Feverman, who had been silent for about ten minutes after staring at the blackboard for about ten minutes, re-read the steps, sighed softly.

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

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

After a pause, Professor Feverman shifted his tune and continued, "However, as you say, if we can give a definite T1 value, we can be sure that there is a smooth solution to the NS equation in a specific time interval. ”

Lu Zhou was slightly stunned, he didn't expect him to be so persistent in the method of abstract proof.

After pondering for a while, Lu Zhou added.

"This alone is not enough, we must use a precise method to distinguish between the original operator B and the constructed bilinear operator B'."

Professor Feverman sighed, "I know what you're talking about. However, rather than blazing a new trail of ideas, I think it's more appropriate to build on the original research results. At least in my opinion, there is still potential in the method of abstract proof. ”

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

"Since we are all suitable for independent research, it is better to do it separately and 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 that case, it would be nice for two people to set off from two directions at the same time.

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

Lu Zhou nodded, agreeing with Professor Feverman's proposal.

"It's the best option."

The study of mathematical propositions can be done in discussions, but discussion research is never the only option.

In the evening, after returning home after a night run, Lu Zhou took a shower, went straight to the study, opened his laptop, and continued to make final revisions to the electronic file of the "L manifold" paper.

The study of the L manifold is actually quite an excellent research achievement.

For example, the bilinear operator B' constructed by Professor Feverman can be published as an independent research result in a top journal even if it cannot directly solve the existential problem of the solution of the NS equation.

Even if it is presented at the International Congress of Mathematicians (IMU) in August, it is more than enough.

As for what exactly it is for?

Studying the solution of the NS equation is certainly the most important thing, but it can also perform "topological surgery" on some complex nonlinear differential structures like other differential manifolds, so that those complex problems become less complex.

As for the usefulness of other fields, that's a matter for other researchers.

Perhaps one day its research results will shine in the field of theoretical physics or engineering, which is not good.

Staring at the computer screen, Lu Zhou was silent for a long time, but finally made up his mind and submitted his 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 mathematical community.

Even this decision seems challenging.

After all, so far, his research on the NS equation has only a vague grasp.

It is not good to say whether any idea is correct or not until it goes to the end.

Not long after Lu Zhou uploaded the manuscript, the paper on the L manifold had just passed the examination of the academic editor and entered the peer review link, and the paper on the Kakutani conjecture was met with the entire international mathematical community with the new issue of the Annals of Mathematics.

It was also as Lu Zhou had predicted.

As soon as this paper was published, it caused quite a stir......

……

Chern Institute of Mathematics, Nankai University.

Spread out on the table is the latest issue of the Annals of Mathematics

Reading the paper from beginning to end, Academician Zhang Weiping sighed lightly and sighed.

"It's worthy of Professor Lu, I didn't expect that he not only has a set of research, but also teaches students who are not simple......"

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

To be honest, when he was encouraged to apply for Professor Lu's master's degree, Dean Zhang did not have great hopes.

Because of the special point in time when Goldbach's conjecture proved it, there is probably no professor in the entire mathematics community who is more "popular" than Professor Lu in Princeton.

After all, that's Goldbach's conjecture.

It once stumped Gauss and Euler, and the crown of number theory that attracted much attention.

So much so that People magazine, which is 108,000 miles away from the academic world, has attracted the attention of the mathematical community.

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 figure in the Chinese mathematics community.

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

After being silent for a while, Professor Fu asked.

"You say this thesis...... Was it really written by his students? ”

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

With regard to the recognition of research results, this involves the issue of academic ethics.

Generally speaking, if you don't rob students of your research results, you're already a pretty disciplined mentor.

As for the dishonest praise of the work of the students in the research, in turn give the results of their own research to the students......

No normal person would do that.

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

"Don't think too much about this thing, for that kind of genius, you can't use the logic of a normal person to speculate," Academician Zhang smiled and continued, "Maybe for him, this kind of problem just can't arouse his interest, so he leaves it to the students to do." ”

Director Fu didn't believe it, because it sounded too unbelievable.

Kakutani's conjecture wasn't anything else.

Although not many people actually study it, there are quite a few people who pay attention to it.

He asked himself, it was impossible to be completely unmoved if it was him. After all, with this achievement, as long as the age and qualifications are sufficient, with a little operation, it will not be a problem to mix the title of Changjiang Scholar or even academician.

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

After all, the kind of people he mentioned still existed in the history of mathematics, and there are quite a few.

Like Grothendieck, like Hilbert......

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

Compared with these great people who created an era, maybe Lu Zhou is still far behind, but he has not had a chance to get there. After all, the talent he has shown at this age has reached a jaw-dropping level, and he still has a long, long way to go......

After a pause, Academician Zhang said with a smile.

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

"Can't even compare to Kadotani's conjecture?" Fu Lei was slightly stunned, frowned, and said, "What kind of chemistry is it?" Or physics or something like that? ”

Academician Zhang smiled: "It has nothing to do with chemistry, it has something to do with physics, but it doesn't have a lot to do with it." ”

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

"Regarding the existence and smoothness of the solution of the NS equation," Academician Zhang said in an emotional tone, looking out the window with a fascinated face, "that is, one of the seven millennial problems we call it." ”

Fu Lei looked shocked.

It took a while for him to speak.

“…… Is he already strong enough to do that? ”

"Or else?" Dean Zhang smiled, "Do you think the state will make an exception to award the first prize in natural sciences to a young man in his 20s?" ”

He only heard about it.

Before the start of the science and technology award conference, the leaders of the Ministry of Science and Technology once admonished their superiors, believing that the first prize of 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 winner by several years.

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

As for the reason, there are many rumors.

One of the most credible and widely circulated rumors in the academic community is that some academics later admonished the top management that the award committee should be brave enough to break this precedent.

As for the final reason for convincing the top, there is only one.

That is the rare rumor of the International Union of Mathematicians, and there is a probability that the Fields Medal in August will be awarded to Professor Lu, who was invited to participate in the one-hour presentation. Not only that, but while he was in Germany, he was also favored by Nobel Laureate in Chemistry Professor Eitel, who will be nominated for this year's Nobel Prize in Chemistry.

For such a scholar who has continuously created miracles, even if Academician Zhang can't believe that he can solve the legendary millennial problem, he can't help but believe that he can do it.

Because of the name, it always comes with miracles.

“…… It would be nice if we could invite this kind of cow to our research institute. After being silent for a long time, Professor Fu sighed softly.

Of course, he is also YY.

If Professor Lu had returned to China, he would have gone to the institute named after him.

Just like the Chern-Chern Institute of Mathematics that they opened, just like the S.T. Khoo Mathematics Center in Mizuki......

Listening to the director's words, Academician Zhang smiled, "Don't think about it, that immortal, our small temple will definitely not be invited." But his students, we can still try to get in touch. ”

Professor Fu: "What do you mean?" ”

Changing to a serious tone, Academician Zhang continued: "I will write to the above and recommend that Qin Yue's name be included in the list of the Thousand Talents Plan......"

"Whether he's planning to return to China for research or further study, we can start preparing in advance!"

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