Qin Ke was driving, and his cell phone was next to Ning Qingyun. Ning Qingyun picked it up and saw the caller ID, and said in surprise: "It's Mr. Faltings."

Qin Ke knows many foreign professors in the international mathematics community, but the ones with the best connections are Mr. Faltings, Professor Tao Zhexuan, Professor Linden-Strauss, Professor Wiles, Mr. Oliver, etc.

, and he is also very familiar with Professor Deligne.

However, the relationship between them is more like a gentleman's friendship. Apart from occasional academic exchanges and discussions through emails, they usually only send each other greeting emails on Christmas, especially in the past year or so.

, Qin Ke rarely went abroad after receiving the Fields Medal. He neither participated in academic exchange meetings in the international mathematics community, nor did he make many academic visits to world-famous universities such as Princeton University, University of California, and Cambridge University.

Old friends haven't seen each other for nearly a year.

Mr. Faltings is usually quite aloof and prefers academic research to communication. He can count on one hand the number of times he has contacted Qin Ke directly through overseas phone calls.

Qin Ke was a little surprised. After Ning Qingyun answered the phone, he said: "Hello, Professor Faltings, I am Qin Ke."

"Professor Qin, oh no, would it be more appropriate to call you 'Academician Qin' now?"

Qin Ke felt relieved when he heard Faltings' tone of voice was relaxed and did not seem to be in a hurry. He said with a smile: "Professor Faltings, I didn't expect you to still pay attention to the situation in Xia Kingdom."

"To be precise, I am paying attention to you and Professor Ning. You two have not appeared in the international mathematics community for a long time. I heard that you will participate in the Einstein Science Prize selection event starting on March 3?"

"Yes."

"Have you decided on the topic of your report? Are you going to give a report on physics or mathematics? The topic of your report will affect the schedule of many people. At least if you are giving a report on mathematics, I will take the time to fly there.

Go to Sweden."

Hearing the concern and hint in Mr. Faltings' tone, Qin Ke was moved. He knew that the old man meant well. In fact, in the past year or so, he and Ning Qingyun had published ""

Except for the famous Chinese mathematician Obadiah Sean!" and "Research on verifying the existence of smooth solutions to the n-s equation in 60% of cases using the three-layer infinite flow loop algorithm", there are almost no mathematical topics.

Thesis has been published.

Although computational seed science, the "Ling Ning Topological Superconducting Vortex State Theoretical Model System", or several physics papers published by Qin Ke, there are many mathematical operations and thinking in them, but after all, it is based on

Mainly biology and physics, mathematics is just a tool in these papers, and it cannot be included in the scope of mathematics papers.

Moreover, Qin Ke and Ning Qingyun's "Research on Verifying the Existence of Smooth Solutions to the n-s Equation in 60% of the Cases Using a Three-Level Infinite Flow Loop Algorithm" has aroused great repercussions among all mathematicians around the world who study the general solution of the n-s equation.

During the discussion, many people hoped that Qin Ke and Ning Qingyun could give a report on this topic and answer everyone's questions during the question and answer session. Unfortunately, neither Qin Ke nor Ning Qingyun responded to such expectations.

With their reputation and status as holding the Fields Medal, even if they didn't respond, no one would doubt whether the results of this paper were completed by them personally, but in general, it gave people a sense of alienation, and

It makes people feel sorry.

The low profile of Qin Ke and Ning Qingyun in the international mathematics community has made many people sigh, thinking that the Fields Medal may have satisfied these two young genius mathematicians and they no longer pursue higher mathematical realms.

Changed my interest to biology and physics.

Such discussions have never stopped, and even the two men's sudden appearance in August last year could not completely suppress such suspicions and speculations.

The fact that the academic scoundrel Obadiah Sean dared to challenge Qin Ke and Ning Qingjun was obviously related to the fact that the two had become extremely low-key in the international mathematics community.

Faltings most hopes that the two of them can invest more energy in mathematics, achieve more dazzling academic results, and illuminate the future of the mathematics community. This expectation has nothing to do with nationality, race, and color, and is more pure.

The love and pursuit of mathematics.

It was precisely because of his purity that Qin Ke was particularly touched.

Qin Ke replied seriously: "Originally, the topic that Qingjun and I decided on was indeed topological quantum computing. After all, the Einstein Science Prize is mainly for scientists, and the fields involved are more physics, chemistry, medicine, biology, etc.

It has nothing to do with pure mathematics. However, the n-s equation can be regarded as the direction of the synthesis of mathematics and physics. Qingjun will give a report on topological quantum computing. In my opinion, I will switch to a report on the n-s equation."

The Einstein World Science Prize can only be awarded to one person each time, and there has never been an exception. Qin Ke doesn't know whether the World Cultural Council will make an exception for him and Ning Qingyun this time, and he has read the information of other candidates, which

There are many elite leaders from all walks of life. These leaders have achieved world-shaking results in dozens of fields such as astrophysics, enzymology, genetics, nanochemistry, biomedicine, and life sciences.

Qin Ke and Ning Qingyun are really not 100% confident that they will win this year's "Einstein World Science Prize".

In this case, Qin Ke simply changed the subject to a report on n-s equations.

In this way, his and Ning Qingyun's reports are divided into two different directions, and the chance of either one of them winning the prize will be increased.

Faltings on the other end of the phone was visibly refreshed: "Are you going to give a keynote report on the three-layer infinite flow loop algorithm?"

This "three-layer infinite flow loop algorithm" is a very excellent mathematical method. Almost no one in the world who studies n-s equations or even partial differential equations can ignore its existence. In the past six months, the focus on "three-layer infinite flow loop" has been

Algorithms have been researched and published in more than a hundred papers, and Faltings has read many of them, but none of them are as exciting as Qin Ke's one-hour special report in person.

This chapter is not finished yet, please click on the next page to continue reading the exciting content! "No."

"Isn't this the case?" Faltings was stunned for a moment, and said with doubt and some hope, "You two have some new research results?"

The corners of Qin Ke's lips raised slightly: "That's right. The topic of the report I plan to give is "Proving that there is a smooth solution to the n-s system of equations in three-dimensional space."

Faltings' breathing seemed to stop, and then the other end of the phone fell into silence, but he could hear the rapid typing on the keyboard. After a while, Faltings said: "I didn't see you on arxiv."

Publish this paper." You could hear the old man's breathing became rapid again, and he was obviously very excited.

Qin Ke said embarrassedly: "This paper has not been written yet. The two of us have only completed the core proof process, because we did not want to publish it so early. We originally planned to wait until we got the general solution of the n-s equation and directly write it as a paper for publication.

Yes, so as not to be said that we two are cheating..."

Water essay? Faltings just wanted to jump out of Qin Ke through the phone line and yell "schei?e!" (German, equivalent to "shit" in English) in his ear!

"Immediately! Immediately! Now! Write it out! Do you know the significance of proving that there is a smooth solution to the n-s equations in three-dimensional space? Even if a general solution is not obtained, just proving the existence of the general solution is a very remarkable achievement.

Yeah! Its meaning is almost equivalent to the first four levels of expressions you used to derive the Riemann Hypothesis!"

Qin Ke coughed slightly: "Qingjun and I have really been free in the past two days... I won't be able to write it out until next Monday at the earliest and put it on arxiv."

Faltings said in a frantic voice: "It's over. I feel like I won't be able to sleep in the next few days. If I don't see this paper of yours for a day, I won't be able to eat well or sleep! I don't care, you have to do this paper."

Submit it to the "Annual Review of Mathematics" as compensation for my mental losses!"

Qin Ke and Ning Qingyun couldn't help laughing at the same time.

I never expected that Mr. Faltings, who was always serious and a bit "harsh" in his treatment of others, making people afraid to get close to him, would actually have such a "rogue" cute side. He probably really regarded Qin Ke as a very good person.

Faltings would show such a side in front of him only after they had forgotten their friendship.

Qin Ke said with a smile: "Okay, originally Mr. Oliver from "Acta Mathematica" has been asking me for a manuscript, but you opened the door, and this article "Proving that there are smooth solutions to n-s equations in three-dimensional space" was submitted to me first.

"Annals of Mathematics." Once the general solution is found, the paper will be submitted to "Journal of Mathematics."

Faltings said righteously: "Professor Qin, of course it is more appropriate to submit such a continuous paper to the "Annals of Mathematics", so that the "Annals of Mathematics" can arrange a special issue of "Millennium Mathematical Conjecture: n-s Equations"

"Special Edition." He paused and then asked nervously: "Are you confident that you can find this general solution? How long will it take?"

"I have a little idea, maybe before June at the latest."

Qin Ke said this with great confidence. Because he had S-level knowledge in his mind, "Exploration and Detailed Solution of Nonlinear Partial Differential Equations "Navier-Stokes Equation" (Complete)", which indeed contains

About the proof of the general solution of the n-s equation and the solution process.

A few days ago, the latest issue of "Physics Report (PR)" has published his paper "Research on the Application of n-s Equation in Urban Planning and Air Pollution Prevention", and the system has determined that he has completed "[Special Task]"

It’s time to make your international voice heard in the physics community,” the award was distributed.

In addition to 500 academic points (physics), there is also an additional reward of S-level knowledge "Exploration and Detailed Solution of Nonlinear Partial Differential Equations "Navier-Stokes Equations" (Final Chapter).

At this point, the four S-level knowledge in the system, "Exploration and Detailed Solution of Nonlinear Partial Differential Equations "Navier-Stokes Equations"", including the first, middle, last and final chapters, have all been unlocked.

As long as Qin Ke thoroughly studies the final chapter, the n-s equation will no longer have any secrets in his eyes.

However, Qin Ke's love for mathematics has long been deeply rooted in his bones. He hopes to rely on his joint cooperation with Ning Qingyun to personally solve the problem of the general solution of the n-s equation, including the existence of the general solution, as well as finding the specific general solution, and solve this problem in one fell swoop.

The seven major millennium mathematical problems have been solved in writing, and the process of difficult exploration and solution itself will greatly promote the mathematical level of him and Ning Qingyun.

So after getting "Exploration and Detailed Explanation of Nonlinear Partial Differential Equations "Navier-Stokes Equation"" (Final Chapter), Qin Ke just read the proof process in the article and compared himself with Ning Qingyun to figure it out.

The difference between the proof process and the system knowledge, and think about the advantages and disadvantages between the two, and then check and fill in the gaps in one's own knowledge.

As for the part about finding a specific general explanation, Qin Ke didn't look at it at all.

Unless by the end of May, Qin Ke tried his best and still failed to find the general solution to the n-s equation, he would never "cheat".

Faltings heard that Qin Ke was full of confidence, and he said with some emotion and some annoyance: "I believe you can do it, but I regret making this call. It seems that not only the next week, but probably six

A few months ago, my life would be difficult. But it’s okay, my research on partial differential equations is not in-depth enough. In the next few months, I will just strengthen this aspect first, so as not to be unable to understand your paper."

Qin Ke smiled and said: "Professor Faltings, you are too humble."

Although Mr. Faltings studied under the "Emperor of Algebraic Geometry" Grothendieck, and is most famous for algebraic geometry. He once proved the Model's conjecture in number theory using algebraic geometry methods, but in fact he did not understand the parameters of Abbe varieties.

Modular spaces, Riemann's theorem of arithmetic surfaces, Padic Hodge theory, etc. have all been deeply studied. The understanding and attainments in the direction of partial differential equations are not comparable to those of ordinary university mathematics professors.

This chapter is not over, please click on the next page to continue reading! That’s why in August last year, Faltings could easily judge that "Research on verifying the existence of smooth solutions to n-s equations in 60% of cases using a three-layer infinite flow loop algorithm"

》The academic significance and value of.

Faltings added: "By the way, Professor Qin, do you mind if I will give you a report on "Proving that there is a smooth solution to the n-s equations in three-dimensional space" at the Einstein Science Prize selection meeting?

Tell others the news. I think that Linden Strauss guy and some of my old friends will also be very interested."

Qin Ke said happily: "No problem. I have to send this report topic to the World Cultural Council, which is organizing the selection conference, in advance, and it will probably spread by then."

…

On the other side of the Pacific, in the office of the Institute for Advanced Study in Princeton, Faltings put down his cell phone and stood by the window looking at the snowy scene outside. It took him a while to calm down his excitement. He shook his head with a smile and made another call.

The person I called this time was Elon Lindenstrauss.

"Elon, do you have the interest and time to fly to Sweden next month? What are you going to do there? There is a selection event for the Einstein Science Prize, and Professor Qin Ke and Professor Ning Qingjun will both participate in the selection."

Professor Lindenstrauss asked doubtfully: "Professor Qin and Professor Ning? They gave a report on physics, right? I couldn't understand it even if I went there."

Faltings showed a mischievous smile: "Professor Ning's lecture is about physics. The topic of Qin Ke's report is - "Proving that there are smooth solutions to n-s equations in three-dimensional space." Are you sure you don't want to go?"

Professor Linden-Strauss gasped: "...you repeat it again?"

""Prove that there is a smooth solution to the n-s system of equations in three-dimensional space"."

"They have actually proved that there is a smooth solution to the n-s equations in three-dimensional space? My God! This... this is amazing. I go, I must go, I will book a flight right now! By the way, is it still?

Want a guest invitation? I’ll ask someone to get it right now!”

"If you know a lot of people, ask for a few more. I want at least ten here."

"Ten? Okay, I guess there will be ten here... These two young people are really amazing."
Chapter completed!