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

It's early April, and if he wants to make it to the conference in early August, he will have to write a paper on the NS equation at least early July.

In other words, there are only three months left for him to be full.

In this case, it seems that the only option is to burst the liver......

The calendar was flipped through page by page, and in the midst of this intense research work, the time was fast approaching June.

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

As a rule, participants are required to register the content of the report before the start of the meeting and upload the full text of the conference within the specified deadline.

At the beginning of June, Lu Zhou finally remembered this incident, so he logged in to the account registered for him by the International Union of Mathematicians, and updated his information on the official website of the International Mathematicians Congress, as well as the theme of the report.

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

In particular, the one-hour report is usually relatively important and the speaker is also an internationally renowned scholar, so it naturally attracts special attention.

As early as a few months ago, there was a discussion in major mathematics forums about what kind of big move this Princeton professor Lu was brewing.

So much so that many colleagues in the field do not forget to log on to the official website once a day in the morning and refresh the page of news publicity, in order to see the topic of Lu Zhou's one-hour report meeting for the first time.

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

When I saw that the topic of the lecture was the NS equation, the whole mathematical community boiled......

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

[The existence and smoothness of the solution of the three-dimensional incompressible NS equation? How can it be?! 】

[This is the first person to claim to have solved the NS equation problem?] 】

[I can't count ......]

[Last time it was a scholar from Kazakhstan, this time it was a Chinese scholar, and a scholar from a third world country is so keen on the Klay Institute's million dollars?] 】

[Let's wait for him to release the paper, everything is hard to say before he sees the paper, what if he really solves the millennial problem? Just as he solved the Goldbach conjecture. 】

[It's 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 be at the top of two completely different fields! 】

The debate on the web is extremely intense.

Not only netizens who discussed on the forum, but also many well-known scholars in the field of mathematics also expressed considerable concern about this unexpected news.

And among them, it is natural that "TAO knows a little bit of everything".

In fact, as early as 07, his personal blog has been updated intermittently with a lot of content about the NS equation, and a lot of related papers have been published.

In the latest issue of the blog, Tao Zhexuan, who is keen to comment on hot issues in the mathematical community, also wrote a blog post as everyone expected, expressing his views on this matter.

【…… Until I see a specific paper, it's hard for me to give a specific opinion on whether he can solve this problem. But from what I know about him, he doesn't do anything he doesn't know if he's completely out of his mind as he is adventurous. 】

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

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

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

The discussion isn't just focused on the internet.

The week after Lu Zhou updated his profile and chose the NS equation as the topic of the presentation, a silver flight crossed the Atlantic Ocean from Europe to North America.

Outside the New York International Airport, Leon, with his suitcase in tow, stepped off the plane and gave his old friend Feverman a warm hug.

"Long time no see, my old friend."

"Long time no see!" After patting his old friend on the shoulder vigorously, Professor Feverman let go of him and said with a smile, "What kind of wind is blowing you here?" ”

Standing in front of Fefferman was Professor Leon from the École Supérieure de Paris. As a Fields Medal winner in '94, his research has made outstanding contributions to the fields of nonlinear partial differential equations and Boltzmann's equations.

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

After seeing that Lu Zhou chose the NS equation as the topic of the lecture, he immediately flew from Paris to Princeton to visit his old friend who was the head of the mathematics department at Princeton University.

“…… The monsoon across the Atlantic, or rather the curiosity in my heart," put the suitcase into the trunk, and before Leon, who had just sat in the passenger seat, had no time to put on his seat belt, he couldn't wait to ask, "You have really studied the NS equation?" ”

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

After a moment of silence, he shook his head.

“…… I'm sorry, I don't know. ”

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

I saw that he looked incredulous and continued to ask.

"Don't know? Didn't you work on this topic together? ”

"That's right," Professor Feverman said with a helpless expression as he started the car, "We did work together on the NS equation, but about two months ago we parted ways on the idea of solving the problem, and now we are working on our own ......."

So far, he is still experimenting with abstract proofs.

As for where Lu Zhou has been, he is not very clear.

Leon: "......"

Separate studies from two different lines of thought.

This kind of cooperation is only played by geniuses.

After a moment of silence, Leon continued, "Can you take me to see Professor Shiroku?" I want to talk to him in person. ”

Feverman shook his head: "I'm afraid not." ”

Leon: "Why? ”

Feverman sighed, "He likes to shut himself in his room when he delves into problems, and once he gets into that state, I'm afraid no one will be able to knock on his door unless his research is progressing satisfactorily, or there's an earthquake or something." ”

Truth be told, Feverman even doubted that even an earthquake would not be possible.

Leon's face was full of surprise: "This ...... It's also incredible. ”

Feverman smiled and shook his head, "At first I was just as surprised as you were, after all, it's the twenty-first century." In addition to Perelman, there are people who delve into mathematical problems in the same way as this practice. And even Perelman is only traveling less, not completely blocking out information from the outside world, as he did. But now, I'm used to it. ”

The professor hesitated, "He belongs to that kind of ...... A more withdrawn scholar? ”

Professor Feverman waved his hand: "That's not it, it's still a pleasure to get along with him." As for his unique research method, it has become an interesting story in Princeton. And it was only later that I heard about it from those Chinese students, and it is said that this kind of research method is very common among them. ”

Leon immediately asked, "What research method?" ”

With a rare look of seriousness on his face, Feverman said solemnly: "They call it a 'retreat'...... This word seems to be spelled like this. ”