Scholar’s Advanced Technological System

417 Restless June (2/3)

Chapter 417 Restless June (23)

Now that he has made up his mind to use NS Fangcheng as the content of the report at the International Congress of Mathematicians, for Lu Zhou, there is no time to waste.

It is the beginning of April. If he wants to catch up with the conference in early August, he must write the paper on the NS equation at least in early July.

In other words, the time left for him is only three months.

In such a situation, Liver Explosion seems to be the only option...

The calendar was turned page by page, and in this intense research work, the time soon came to June.

As the conference got closer and closer, the International Union of Mathematicians sent emails more than once, reminding Lu Zhou that he should update the information on the official website and mark the content of his report meeting.

According to the usual practice, participants need to register the content of the report before the meeting starts, and upload the full text of the meeting manuscript within the specified time limit.

At the beginning of June, Lu Zhou finally remembered this matter, so he logged into the account registered for him by the International Union of Mathematicians, and updated his information and the theme of the report on the official website of the International Mathematicians Conference.

Many people have already registered the relevant information half a year in advance, and it can be said that it is quite rare to register the content of the report until June.

Especially the one-hour report meeting, because the content of the report is usually relatively important, and the speaker is also a well-known international scholar, so it naturally attracts extra attention.

As early as a few months ago, major mathematics forums were discussing what kind of big move this Princeton Professor Lu was planning.

As a result, many colleagues in the academic field even log in to the official website every morning to refresh the news announcement page, hoping to see the topic of Lu Zhou's one-hour report meeting as soon as possible.

In fact, the one-hour report that Lu Zhou registered on the official website did respond to everyone's expectations.

When I saw that the topic of the report was the NS equation, the entire mathematical community was boiling...

On a well-known mathematics forum in Europe, a discussion started because of this.

[Existence and smoothness of solutions to three-dimensional incompressible NS equations? how is this possible? ! 】

[Is this the first person who claims to have solved the NS equation problem? 】

【Countless...】

[Last time it was a scholar from Kazakhstan, this time it was a scholar from Huaguo, are scholars from third world countries so keen on the one million dollars from the Clay Institute? 】

[Let’s wait for him to release the paper. It’s hard to say anything until he sees the paper. What if he really solves the millennium problem? Just like he solved Goldbach's conjecture. 】

【This is impossible! The NS equation and Goldbach's conjecture are two completely different problems! One is partial differential equations and the other is number theory! No matter how talented he is, it is impossible for him to reach the top level in two completely different fields! 】

The debate on the Internet was fierce.

Not only the netizens discussing on the forum, many well-known scholars in the field of mathematics also expressed a considerable degree of concern about this unexpected shocking news.

Among them, "TAO who knows a little bit of everything" is naturally indispensable.

In fact, as early as 2007, his personal blog has been intermittently updated with a lot of content about the NS equation, and many related papers have been published.

In the latest blog, Terence Tao, who is keen to comment on hot events in the mathematics world, also wrote a blog post as everyone expected, expressing his own views on this matter.

[...Before seeing the specific paper, it is difficult for me to give a specific opinion on whether he can solve this problem. However, according to my understanding of him, although he is keen on taking risks, he will not do things that are completely unsure. 】

[And, about two months ago, I noticed his latest research published in the Annals of Mathematics. Many people should know that that paper proposed a very novel differential manifold, namely L flow. 】

[As for the specific use of the L manifold, I was also confused at the beginning. It wasn't until I dug deeper that it could be a bridge between topological methods and partial differential equations. 】

[There is no doubt that this is a very interesting differential geometry tool, and since then I have a hunch that maybe it may be the key to solving the NS equation. 】

Related discussion is not just concentrated on the Internet.

In the second week after Lu Zhou updated his personal information and chose the NS equation as the topic of the report, a silver flight crossed the Atlantic Ocean and flew from Europe to North America.

Outside New York International Airport, Leon stepped off the plane, lugging his suitcase, to a warm hug with his old friend Fefferman.

"Long time no see, my old friend."

"Long time no see!" Patting his old friend on the shoulder vigorously, Professor Fefferman said with a smile after letting him go, "What wind brought you here?"

Standing in front of Fefferman was Leon, a professor from the Ecole Normale Supérieure de Paris. As a winner of the Fields Medal in 1994, his research has made outstanding contributions to the fields of nonlinear partial differential equations and Boltzmann equations.

The NS equation has been one of the research topics that Leon has followed up. Although he himself has not engaged in related research, he has been paying attention to the research progress in this area.

After seeing that Lu Zhou chose the NS equation as the topic of the report, he immediately flew from Paris to Princeton to visit his old friend who is the dean of the Department of Mathematics at Princeton University.

"...the monsoon that crosses the Atlantic Ocean, or the curiosity in my heart," Leon asked impatiently after putting the suitcase into the trunk and before he could fasten his seat belt on the co-pilot seat. "Regarding the research on the NS equation, have you really researched it?"

Hearing this question, Professor Fefferman, who was holding the steering wheel, was slightly stunned.

After a moment of silence, he shook his head.

"...Sorry, I don't know."

This time it was Leon's turn to be stunned.

Seeing that he couldn't believe it, he continued to ask.

"I don't know? Aren't you working on this subject together?"

"That's right." After starting the car, Professor Fefferman made a helpless expression, "We have indeed cooperated on the subject of NS equations, but about two months ago, we were thinking about solving the problem They parted ways, and now they are doing their own things..."

So far, he is still trying the method of abstract proof.

As for which step Lu Zhou has reached, he is not very clear about the specifics.

Lion: "..."

Researches are carried out from two different perspectives.

This kind of cooperation can only be played by geniuses.

After a moment of silence, Leon continued: "Can you take me to see Professor Xia Lu? I want to talk to him face to face."

Fefferman shook his head: "I'm afraid not."

Lion: "Why?"

Fefferman sighed: "He likes to lock himself in the room when he is delving into the problem, and once he enters this state, unless his research has made satisfactory progress, or there is an earthquake or something, Otherwise, I'm afraid no one will be able to knock on his door."

To be honest, Fefferman even suspected that even an earthquake might not be possible.

Leon's face was full of surprise: "This...is too unbelievable."

Fefferman smiled, shook his head and said: "I was as surprised as you at first, after all, this is the 21st century. Besides Perelman, there are actually people who use this kind of practice to delve into mathematical problems .And even Perelman only travels less, instead of completely blocking outside information like him. But now, I'm used to it."

The professor hesitated: "He belongs to the kind of... relatively lonely scholar?"

Professor Fefferman waved his hand: "That's not true. It's quite pleasant to get along with him. As for his unique research method, it has become an anecdote in Princeton. And it was only later that I learned from those Chinese students. After inquiring, it is said that this kind of research method is very common in them.”

Leon immediately asked: "What research method?"

A rare serious expression appeared on Fefferman's face, and he said solemnly: "They call it 'retreat'...the word seems to be spelled like that."

Chapter 421/1702
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Scholar’s Advanced Technological SystemCh.421/1702 [24.74%]