Great Country Academician

On the other side, Huaguo, Jinling.

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

After the problem he had been thinking about was finally solved, this sleep was an extremely comfortable sleep for him.

I don't know how much time passed, anyway, 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 Zijin Mountain not far away. Even though it was already winter, it was still lush and reassuring.

After taking a comfortable bath, he touched his phone from the bed and checked the time.

November 17th at eleven thirty-nine.

It has been more than a month since I got the inspiration of microfluidics in the classroom.

But it's totally worth the months of hard work.

He not only solved the difficult problem that he never forgot in his previous life, but also made a new mathematical tool, which built a brand new bridge in differential geometry, topology and partial differential equations.

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

For mathematics, solving difficult problems is like harvesting heavy fruits, and mathematical tools are the ladders or axes you use to harvest the fruits.

Sometimes, a mathematical tool can not only be applied in a fixed field, but it can also open up many other researches.

Just like the "algebraic variety and group mapping tool" he created when he solved Hodge's conjecture, it can not only be used for Hodge's conjecture.

It can be used to try many algebraic varieties and differential forms, polynomial equations, and even algebraic topology problems.

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

This can bring more gains to mathematicians.

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

Before, because he was studying the last step of the NS equation, he almost ignored all incoming calls and messages.

Now, he has time to deal with the missed calls and messages.

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

Almost officially he uploaded the proof of the last step of the NS equation to the Arxiv preprint website.

After reading the news, Xu Chuan found that the one who called and sent him the most messages was Professor Fefferman from Princeton.

After thinking about it, he made a phone call to go back.

But to his surprise, Fefferman's phone was turned off and did not get through.

Xu Chuan didn't care too much. After all, it's noon now, and it happened to be late at night in the country of America. Just reply later. Fefferman will call when he sees 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 ringtone of the incoming call rang.

It was Fefferman who called.

"Xu, where are you now?" As soon as the phone was connected, Fefferman asked impatiently.

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

Fefferman: "."

"No, I'm asking whether you are at home or at Nantah University, and where exactly are you."

Xu Chuan asked curiously, "I'm at home now, have you come to China?"

Fefferman: "Yes, I have already arrived in Jinling, and I will be there in about half an hour to meet and chat with you."

After finishing speaking, Fefferman hung up the phone in a hurry, and Xu Chuan was stunned again looking at the black screen of the phone.

Is he sleepy?

If I remember correctly, it shouldn't have been more than twelve hours since he uploaded the paper, right?

And it takes at least 24 hours to fly from Princeton to Jinling, right?

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

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

Fefferman, Deligne, Faltins, Gowers, Mori Shigefumi.

Good guy, there are five top figures in the mathematics 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.

Fefferman: "For NS equations, of course!"

Hearing this, Xu Chuan glanced at the five people. Although the ns equation is indeed important, it is not likely that so many top bosses will come here together.

On the side, Deligne explained with a smile: "In mid-November, there was a mathematics conference at the Paris Ecole Normale Supérieure, and I also sent you an invitation letter, but I should have been studying NS equations at the time, so I probably ignored it."

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

Xu Chuan suddenly nodded and said, "So that's the case, I mean why so many of you gathered together all of a sudden."

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

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

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

After the group exchanged pleasantries in the living room for a while, Fefferman asked, "Xu, when are you going to give a report on solving the NS equation? I think everyone should have a lot of questions."

Xu Chuan thought for a while and said, "At least part of the time should be set aside for others to get familiar with the thesis, right? How about opening it on December 1st? Half a month or so should be enough for most people to get acquainted with and understand."

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

Fefferman thought for a while, nodded and said: "Alright, I would like to hear you introduce the mathematical tools in detail. Based on the micro-fluid, differential equations, topological geometry and partial differential equations are run through. Strictly speaking, It's not a mathematical tool anymore, it's a whole new discipline!"

After a pause, he continued: "I think you should seriously consider Tao's suggestion and give this tool a proper name."

Hearing this, Xu Chuan looked at Fefferman with doubts and curiosity in his eyes. When did Tao Zhexuan suggest to him? Why doesn't he know.

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

"For example, in your previous work on computational astrophysical tools, you directly gave it a name for extended applications."

Xu Chuan was ashamed, he is not bad at naming names!

Isn’t the Algebraic Variety and Group Mapping Tool nice to hear?

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

Well, this only shows that he is lazy!

Once again, his naming skills are really good!

But Fefferman was right when he said he had created a new discipline.

He is indeed the first to apply the micro-fluid defined in mathematical physics to the space and topological structure with local Euclidean space properties to study partial differential equations. He is indeed the first to do so in such detail.

Although as early as the nineteenth century, Hamilton had used manifolds to solve the Poincaré conjecture, including later Perleman also used topology to solve the popular singularity when proving the Poincaré conjecture in three-dimensional space question.

But he is the first one to integrate the three together to form a whole.

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

As for how this subject 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 subject.

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

But at the beginning, this set of subjects did not receive much attention from the mathematics community at that time.

It wasn't until 1967 that he and Professor Jean Dieudonne co-wrote the first eight volumes of "Fundamentals of Algebraic Geometry", which gradually pushed algebraic geometry to the entire mathematical community.

After that, he cultivated a variety of mathematicians, the most famous of which are Pierre Deligne and Michel Reynaud, who also gathered a powerful school of thought, ruling the entire mathematics world for more than ten years time.

Of course, if you want a subject to blossom in an all-round way, textbooks and the like are definitely indispensable. But Xu Chuan doesn't have much time to write books and biographies.

Perhaps after the completion of the controllable nuclear fusion project, he will consider organizing the theories and methods he has developed, such as the extended application of the Xu-Weyl-Berry theorem, such as algebraic clusters and group mapping tools, into textbooks.

Therefore, in contrast, he is still a long way from his grandfather Mr. Grothendieck.

But at least, a seed has been planted, and the rest is to take care of it and wait for it to grow into a towering tree.