On the other side, Huaguo, Jinling.

After sorting out the paper proving the last step of the NS equation and throwing it on the Arxiv preprint website, Xu Chuan collapsed on the bed and fell asleep.

After the problem of his heart and mind was finally solved, this sleep was extremely comfortable for him.

I don't know how long it has been, but when he woke up again, it was bright outside.

Xu Chuan got up from the bed and stretched, opened the curtains and glanced at the Purple Mountain not far away, even if it was already winter, it was still lush and comfortable.

After taking a comfortable shower, he picked up his phone from the side of the bed and looked at the time.

November 17 at 11:39 a.m.

It has been more than a month since I got the inspiration for microfluids in the classroom.

However, the effort of more than a month is completely worth it.

He not only solved the problems that he had been thinking about in his previous life, but also made a new mathematical tool that built a new bridge between differential geometry, topology and partial differential equations.

For the mathematical community, the development of a new mathematical tool is often more important than the solution of a difficult problem.

For math, solving a puzzle is like reaping the heavy fruits, and math tools are the ladders or axes you use to reap the fruits.

Sometimes, a mathematical tool can be applied to a fixed field and can open up many other researches.

Just like the 'Algebraic Cluster and Group Mapping Tool' he built earlier when solving the Hodge conjecture, it can be used for more than just the Hodge conjecture.

It can be used to try many algebraic clusters and differential forms, as well as polynomial equations, and even difficult problems in the direction of algebraic topology.

For example, the 'Bloch conjecture', which belongs to the same Hodge conjecture family, and whether the Chow group is finite-dimensional, can be tried.

This can lead to more gains for mathematicians.

Touching his phone, Xu Chuan looked at the unread messages on his phone in the past few days, and got up and touched the bag of bread in his mouth.

Previously, because he was working on the last step of the NS equation, he had almost ignored all the incoming calls and messages.

And now, he has time to deal with those missed calls and messages.

I roughly glanced at the mobile phone, and there were a lot of scattered missed calls and messages sent to him, but the outbreaks of messages to him were basically concentrated in the past ten or so hours.

Almost formally, he uploaded the proof of the last step of the NS equation to Arxiv on the preprint website.

After reading the news, Xu Chuan found that the person who called and messaged him the most was Professor Feverman from Princeton.

After thinking about it, he dialed the phone back.

However, to his surprise, Fepferman's phone turned off and did not go through.

Xu Chuan didn't pay much attention to it, after all, it was noon, and it happened to be late at night in the United States, so it would be good to wait for a reply, and Feverman would naturally call when he saw it.

After briefly dealing with these missed calls and messages, he was just about to put down his phone and go back to tidy up the manuscript paper in the study, when the call bell rang.

It was Pfeiferman who called.

"Xu, where are you now?" As soon as the phone was connected, Peverman on the other end couldn't wait to ask.

After being stunned for a moment, Xu Chuan replied: "Of course it's in Huaguo." ”

Feverman: "."

"No, I'm asking you if you're at home or at NTU, where exactly are you?"

Xu Chuan said curiously: "I'm at home now, have you come to Huaguo?" ”

Peverman: "Yes, I've already arrived in Jinling, and I'll be able to meet you in about half an hour." ”

After speaking, Peverman hurriedly hung up the phone, and Xu Chuan looked at the black screen of the phone and was stunned for a moment.

Did he fall asleep?

If I'm not mistaken, it shouldn't have been more than twelve hours since he uploaded his paper, right?

And from Princeton to Jinling, it will take at least 24 hours to sail, right?

Half an hour was not a long time, and soon, a hurried doorbell rang in the villa, and at the same time, Feverman called again.

Xu Chuan didn't answer the phone, got up and walked out of the villa, and then was startled by the person standing in front of him.

Feverman, Deligne, Faltins, Gowers, Mori Shigefumi.

Good guy, there are five top bigwigs in the math circle standing at the door of his villa.

"Why are you all here?" After saying hello, Xu Chuan hurriedly welcomed the group of people into the villa and asked curiously.

Feverman: "For the NS equation, of course!" ”

Hearing this, Xu Chuan glanced at the five people, although the NS equation is indeed important, it will not be so many top bosses running over together.

On the side, Deligne explained with a smile: "There was a mathematics conference at the École Supérieure de Paris in mid-November, and I also sent you an invitation, but I should have been studying the NS equation at that time, and I may have ignored it directly. ”

"After you uploaded your paper to the arxiv website yesterday, we discussed it and came to your side together."

Xu Chuan nodded abruptly and said, "I see, I mean, why did so many of you suddenly gather together." ”

Gouls smiled and said, "Speaking of which, this is the first time I have met you, and I still remember the paper you wrote a few years ago about the weak Weyl_Berry conjecture. ”

Xu Chuan smiled and said, "Many times I thought we could meet, but we missed it. ”

He and Gowers have a deep relationship, but unfortunately they have never met, and today is the first time.

After the group exchanged pleasantries in the living room for a while, Feverman asked, "Xu, when are you going to hold a presentation on the solution of the NS equation?" I think you all have a lot of questions. ”

Xu Chuan thought for a while and said, "At least set aside some time for others to understand and familiarize themselves with the paper, right?" How about opening on December 1st? Half a month or so should be enough for most people to be familiar with and understand. ”

"As for questions, if it's convenient for you in the last few days, you can stay here, I'll live here, and you are welcome to come and communicate at any time."

Feverman thought for a moment and nodded, "It's okay, I'd like to hear you more about that math tool." Based on microfluids, the integration of differential equations, topological geometry and partial differential equations is not strictly a mathematical tool, it is a completely new discipline! ”

After a pause, he continued: "I think Tao's suggestion should be seriously considered and come up with a good name for this tool." ”

Hearing this, Xu Chuan looked at Peverman with doubts and curiosity in his eyes, when did Tao Zhexuan give him advice? How he didn't know.

On the other side, Shigefumi Mori, the current president of the International Mathematical Union, explained with a smile: "Maybe you didn't surf the Internet? Tao complained on his blog yesterday, saying that your ability to choose a name is too poor. ”

"For example, the results of your previous computational astrophysics tools, you directly installed the name of the extended application."

Xu Chuan was embarrassed, his ability to choose a name is not bad!

Wouldn't algebraic clusters and group mapping tools sound great?

As for the extended application of the Xu-Weyl-Berry theorem

Well, that only shows that he's lazy!

Again, his ability to choose a name is really not bad!

But Feverman is not wrong when he says he has created a new discipline.

He was indeed the first to apply the definition of mathematical physics to the study of partial differential equations in space and topology with local Euclidean spatial properties, and to do so in such detail.

Although Hamilton used manifolds to solve the Poincaré conjecture as early as the 19th century, including the later Perleman, who also used topology to solve the problem of popular singularities when proving the Poincaré conjecture in three-dimensional space.

But he is still the first one who completely runs through the three together to form a whole.

It's not a big problem to say that a discipline has been created.

As for what this discipline can develop in the future, on the one hand, it depends on the potential of this mathematical tool, and on the other hand, it depends on Xu Chuan's subsequent contributions and efforts to this discipline.

Just like his grandfather, the 'God of Mathematics' Mr. Grothendieck, the abstract theoretical system of modern algebraic geometry he founded is the hottest field in mathematics today.

But in the beginning, this discipline did not receive much attention from the mathematical community at the time.

It was not until 1967 that he co-wrote the first eight volumes of Fundamentals of Algebraic Geometry with Professor Jean Dieudonnay, which gradually introduced algebraic geometry to the entire mathematical community.

Since then, he has produced a large number of mathematicians, the most famous of which are Pierre de Ligné and Michel Renaud, and has also gathered a powerful school that dominated the entire mathematical world for more than a decade.

Of course, if you want a subject to blossom in an all-round way, textbooks or something must be indispensable. But Xu Chuan doesn't have much time to write a book and write a biography at present.

Perhaps when the controlled nuclear fusion project is completed, he will consider the theory and methods he has researched, such as the extended application of the Xu-Weyl-Berry theorem, such as algebraic cluster and group mapping tools, into a book textbook.

So, by contrast, he was still a long way from his grandfather, Mr. Grothendieck.

But at the very least, a seed has been planted, and all that remains is to wait for it to grow into a towering tree.

(End of chapter)