Scholar’s Advanced Technological System

Now that he has made up his mind to make ns Fangcheng the content of the report at the International Conference of Mathematicians, for Lu Zhou, there is no time to waste.

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

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

In this case, bursting liver seems to be the only option ...

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

As the conference gets closer, the International Federation of Mathematicians has sent emails more than once to remind Lu Zhou that he should update the information on the official website and mark the content of his report.

By convention, participants are required to register the report content before the start of the meeting and upload the full text of the meeting within the prescribed time limit.

In early June, Lu Zhou finally remembered this, so he logged in to the account registered by the International Federation of Mathematicians, and updated his information and the theme of the report on the official website of the International Mathematician Conference.

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

Especially the one-hour report, because the content of the report is usually relatively important, the reporter is also an internationally renowned scholar, so naturally it is also of particular concern.

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

So many colleagues in the field of theory don't forget to log in to the official website every morning and refresh the page of news announcement, so that they can see the topic of Lu Zhou's one-hour report in the first time.

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

When I saw that the subject of the report was the ns equation, the entire mathematical community was boiling ...

At a well-known mathematical forum in Europe, a discussion began.

[Existence and smoothness of the solution of the three-dimensional incompressible ns equation? how is this possible? !! 】

[This is the first person who claims to have solved the ns equation problem? 】

[Countless ...]

[The last time was a Kazakh scholar, this time a Chinese scholar, is a scholar from a third world country so keen on the one million US dollars of the Clay Institute? 】

[Let ’s wait for him to release the thesis. Before seeing the thesis, everything is difficult to say. What if he really solves the millennial problem? Just like he solved Goldbach's conjecture. 】

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

Controversy on the Internet is fierce.

Not only netizens discussing on the forum, but many well-known scholars in mathematics also expressed considerable concern about this unexpected surprise.

Among them, naturally, "a little bit of tao" is indispensable.

In fact, as early as 2007, his personal blog intermittently updated a lot on the ns equation, and related papers have also been published.

In the latest blog, Tao Zhexuan, who is keen to comment on hot events in the mathematical world, wrote a blog post as everyone expected, and expressed his views on this matter.

[... Before I see a specific paper, it is difficult for me to give a specific opinion on whether he can solve this problem. But as far as I know him, although he is keen to take risks, he will not do anything totally uncertain. 】

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

[About the specific usefulness of the l-manifold, I was confused at first. It wasn't until I researched in depth that it could be a bridge between communication topology methods and partial differential equations. 】

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

Related discussions are not just focused on the web.

Just the second week that Lu Zhou updated his profile and selected the ns equation as the theme of the conference, a silver flight crossed the Atlantic Ocean and flew from Europe to North America.

Outside New York International Airport, Leon, who was dragging his suitcase, stepped off the plane and gave his old friend Fefferman a warm hug.

"It's been a long time, my old friend."

"I haven't seen you for a long time!" He patted his old friend's shoulder hard, and Professor Fefferman let go of him, then said with a smile, "What wind brought you here?"

Standing in front of Fefferman was Professor Leon from Paris Normal University. As the Fields Prize winner in 1994, his research has made outstanding contributions to the field of nonlinear partial differential equations and Boltzmann equations.

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

After seeing Lu Zhou chose the ns equation as the theme of the report, he immediately flew from Paris to Princeton by plane and visited an old friend who was the head of the Department of Mathematics at Princeton University.

"... the monsoon crossing the Atlantic Ocean, or the curiosity in my mind," Leon, who had put his suitcase in the trunk, had not yet had time to fasten his seatbelt, and asked, "Do you really have researched the ns equation?"

Hearing this question, Professor Fefferman holding the steering wheel gave a slight hesitation.

Silent for a moment, he shook his head.

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

It was Leon's turn this time.

I saw him look incredible, and continued to ask.

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

"That's right," he started the car, Professor Fefferman made a helpless expression, "We did cooperate on the subject of the ns equation, but about two months ago, we were thinking about solving the problem. They are going their separate ways, now they are doing their own ... "

So far, he is still trying the abstract proof method ~ www.readwn.com ~ As to what step Lu Zhou has taken, he is not very clear about the details.

Leon: "..."

Research separately from two different ideas.

This type of cooperation is only played by geniuses.

After a moment of silence, Leon continued, "Can you show me Professor Xia Lu? I want to talk to him in person."

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

Leon: "Why?"

Fefferman sighed: "He likes to keep himself in the house when he is studying the problem, and once he enters this state, unless his research has made satisfactory progress or an earthquake or something, Otherwise, no one can knock on his door. "

To be honest, Fefferman even suspected that even the earthquake was impossible.

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

Fefferman smiled and shook his head. "I was as surprised as you at first. After all, it was the 21st century. In addition to Perelman, there are still people who study mathematical problems in this way. . And even Perelman is only reducing travel, not completely blocking outside information like him. But now, I'm used to it. "

The professor hesitated: "He belongs to ... a relatively lonely scholar?"

Professor Fefferman waved his hand: "That's not true, it's more pleasant to get along with him. As for his unique research method, it became an interesting thing in Princeton. And it was only later that I came from those Chinese students Inquire, it is said that this type of research is common among them. "

Leon immediately asked, "What research method?"

Fefferman's serious expression rarely appeared on his face, and he said solemnly: "They call it 'retreat ...' The word seems to be so spelled."