Chapter 414: Bingfen 2

Hearing this sentence, Professor Fefferman froze. Fiction.
Soon, his expression was slightly adjusted, and he asked seriously.
"Can you elaborate?"
"Of course," Lu Zhou picked up the chalk, "but I need a blackboard."
Once the ideas have been worked out, calculations are only natural.
It took about half an hour and the two blank blackboards were full.
Taking two steps back, Lu Zhou looked at the formula on the blackboard, weighed half a piece of chalk in his hand, and said with 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 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 Dilemma. As for how big it is, it is probably equivalent to Newton's law of motion in special theory of relativity.
The former restricts the specific case of initial boundary value and is only applicable in a limited time domain. The millennial problem of the ns equation is discussed in all cases of the existence and smoothness of the solution of the ns equation in three dimensions.
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 as Newton's law of motion only applies to low-speed motion, it does not apply in the case of high-speed motion ...
After listening to Lu Zhou's statement, Fefferman was speechless.
"... Since you already knew this was wrong, why not tell me earlier."
Lu Zhou coughed and said embarrassedly, "... I only thought of it now."
Staring at the blackboard for about ten minutes of silence, Professor Fefferman revisited these steps and sighed softly.
"You are right, our previous thinking was not perfect ..."
Many things, once broken, are actually not so mysterious.
After a pause, Professor Fefferman turned around and continued, "However, as you said, if we can give a certain value of t1, we can determine that the ns equation is in a specific time interval. There is a smooth solution. "
Lu Zhou hesitated for a moment, never thinking he was so obsessed with the method of abstract proof.
After pondering for a while, Lu Zhou added.
"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 re-opening a new idea, I still think it is more appropriate to continue on the original research results. At least in my opinion, abstract proof Methods still have potential. "
After a silence, he finally made a decision.
"Since we are all people who are suitable for independent research, we should do it independently."
Although he is also optimistic about the new ideas provided by Lu Zhou, he does not intend to give up so easily.
In that case, it would be good if two people set out from both directions at the same time.
So many roads, there is always one leading to Rome.
Lu Zhou nodded and agreed with Professor Fefferman's proposal.
"This is the best option."
The study of mathematical propositions can be carried out during discussions, but discussion research is never the only option.
In the evening, I returned home after a night run. After taking a bath, Lu Zhou went straight to the study, opened the laptop, and continued to make final modifications to the electronic file of the "manifold" paper.
The research on l-manifolds has actually been an excellent research result.
Just like the bilinear operator b \ 'constructed by Professor Fefferman, even if it cannot directly solve the existence problem of the solution of the ns equation, it can be published in the top journal as an independent research result.
Even the presentation at the International Conference of Mathematicians (IMU) in August was more than enough.
As for what is it useful for?
The solution to study 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 seem less so. complex.
As for the usefulness of other fields, that's a matter for other researchers.
Maybe one day its research results will show unexpected brilliance in the field of theoretical physics or engineering. These are also bad.
Staring at the computer screen, Lu Zhou was silent for a long time, and finally made up his mind to submit a paper on the l-manifold to the "Mathematics Annual".
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 looks challenging.
After all, so far, his research on the ns equation has only a vague grasp.
Any thought is correct before it reaches the end.
Not long after Lu Zhou uploaded the manuscript, the paper on the l-manifold has just passed the academic editor's inspection and entered the peer review process. The paper on the Kakutani conjecture followed the new issue of the Annual Mathematics and the entire international mathematics The world met.
Just as Lu Zhou had expected before.
Once this paper was published, it caused a lot of sensation ...
...
Open University, Chen Shengshen Institute of Mathematics.
Spreading on the table is the latest issue of the "Annual Mathematics"
After reading the thesis from beginning to end, Academician Zhang Weiping sighed and said with emotion.
"Professor Lu, I didn't expect that he didn't just have a research set, and the students he taught were not easy ..."
The student of Qin Yue, Academician Zhang knew that he even wrote a letter of recommendation to him to recommend him to go to Princeton for a master's degree.
To be honest, Dean Zhang did not have much hope in encouraging him to apply for a master's degree from Professor Lu.
Because catching up with Goldbach's conjecture to prove that special point in time, I am afraid that there is no professor in the entire mathematical community, which is more "hot" than Professor Lu of Princeton.
After all, that was Goldbach's conjecture.
Once stumped Gauss, Euler, attracted the attention of the number theory crown.
Even People Magazine, which is tens of thousands of miles away from the academic world, has paid attention to the mathematical world.
Standing next to Academician Zhang is Professor Fu Lei, the director of the Chen Shoushen Institute of Mathematics.
Compared to Academician Zhang, the director is a bit younger, but he is also a big influence in the mathematics community in China.
Like Academician Zhang, who studies differential geometry, the main research direction of this director is not in the field of number theory, but in 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 said that the paper ... was 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 issues of academic ethics.
Generally speaking, not robbing students of research results is already a very modest instructor.
As for the dishonest exaggeration of the student's work in research, he in turn gave his research results to the students ...
Normal people will not do this.
Although he understood this, Professor Fu still couldn't help but say, "But I don't understand a bit. You said that since his students can do it, why doesn't he do it by himself?"
"Don't think too much about this thing. For that kind of genius, you can't speculate with the logic of normal people," Academician Zhang smiled, and continued, "Perhaps for him, this kind of problem is simply unable to cause His interest was left to the students. "
Mr. Fu didn't believe it, because it sounded too strange.
Sakuya guessed it was nothing else.
Although not many people really study it, many people follow it.
He asked himself, changing to be himself, and it was impossible to be totally indifferent. After all, with this achievement, as long as the age and qualifications are enough, with a little operation, it is not a problem to mix the titles of Yangtze River scholars and even academicians.
Looking at the disbelief in Director Fu's face, Academician Zhang just smiled, but did not explain anything.
After all, the kind of people he said still exist in the history of mathematics, and there are still many.
Like Grothendieck, like Hilbert ...
They are without exception, great men who can be included in the history of world mathematics.
Compared with these great men who have created an era, perhaps Lu Zhou is still far behind, but he may not have had a chance to get there. After all, the talent he showed at this age has reached a stunning level, and his future is still a long way ...
After a pause, Academician Zhang said with a smile.
"It's normal not to be interested. I just heard that Professor Lu is currently working on a large project. By contrast, Jiao Gu's conjecture is nothing."
"Lian Jiaogu's conjecture can't be compared with it?" Fu Lei frowned slightly, frowning, "Is it chemistry? Or is it something like physics?"
Academician Zhang smiled with a smile: "It has nothing to do with chemistry, it has something to do with physics, but the relationship is not very big."
Fu Lei could not help asking, "What is it?"
"About the existence and smoothness of the solution of the ns equation," looked at the window with a look of astonishment, and Academician Zhang said with emotion, "It is also one of the seven major millennial problems we call."
Fu Lei was shocked.
After a while, he struggled to speak.
"... has he been so strong?"
"Otherwise?" Dean Zhang smiled. "Otherwise, do you think the country will award the first prize in natural sciences to a young man in his 20s?"
He also just heard.
Prior to the start of the Science and Technology Awards Conference, the leaders of the Ministry of Science and Technology had spoken to their superiors, arguing that this first prize for natural sciences should not be given so hastily.
After all, a 20-year-old winner is not only full of too much uncertainty, but also directly lowers the average age of the winner by several years.
However, the final result was seen by everyone, and the senior management finally decided to award the first prize of natural science.
As for the reasons, there are many rumors.
Among them, the most credible and the most widely rumored in academia, is that it is said that some people in academia later spoke to high-level officials that the jury should bravely break this precedent.
As for the final reason to persuade the senior management, there is only one.
That is the rare rumor of the International Federation of Mathematicians. In August, more than 90% of the Fields Awards will be awarded to Professor Lu who is invited to participate in the one-hour report. Not only that, he also won the favor of Nobel Prize-winning Professor Eitel when he was in Germany. Not surprisingly, he will be nominated for this year's Nobel Prize in Chemistry.
For scholars who have created such miracles continuously, even if Academician Zhang couldn't believe that he could solve the legendary Millennium problem, he couldn't help but believe that he could do it.
Because the name ~ EbookFREE.me ~ always appears with miracles.
"... It would be nice if we could invite this kind of cattle to our institute." Professor Fu said quietly after a long silence.
Of course, he is also under yy.
If Professor Lu returns, he must go to the institute named after himself.
Just like the Chen Shengshen Mathematical Institute they opened, like the Qiu Chengtong Mathematical Center of Mizuki ...
After listening to the director's words, Academician Zhang laughed and laughed, "Don't think about that, that deity, we must not invite this little temple. But his students, we can try to contact.
Professor Fu: "What do you mean?"
In a serious tone, Academician Zhang continued: "I will write to it and recommend that Qin Yue's name be placed on the list of thousands of people ..."
"Whether he intends to return to study or continue his studies, we can start preparing ahead of time!"