273. Chapter 270 The seven major mathematical problems in the world


Chapter 270 The Seven Major Mathematical Problems in the World

Xu Qingshan became a shining star in the international academic community overnight.

The academic world is that simple.

Even if you have been unknown for forty years, as long as you solve the catastrophe of life and death, you can become the most popular person, and then establish a sect, recruit many disciples, and become famous.

Here, no matter age or origin, only strength.

Of course, this is also an ideal statement.

In fact, unless the strength is much stronger than others, the age is not much asked, but the origin still has to be asked.

For example, which mountain are you from? Who are you studying under? Do you have any connections?

This is all very important.

Whether it is Charles Fefferman or John Milnor, they believe that Xu Qingshan is unlikely to reject them because they can bring Xu Qingshan the most reliable position in the international academic community. One of the hills.

But Xu Qingshan still refused.

The top of Beijing University is not bad, but at this time it is not considered to be the best in the world at all.

Compared to the top-ranked Princeton University and the State University of New York at Stony Brook, which is regarded as one of the "four major public Ivy schools", Kyungseong University is indeed not that strong.

Although the latter’s ranking on lists such as QS seems to be inferior to that of Capital University.

But just look at the alumni and professor team of Stony Brook University. They have the most profitable mathematicians in the world, James Simons, Chen Ning Yang, Shing Tong Yau, Stanford President John Hannis, and the former American Mathematical Society. Chairman James Grimm, Highbridge Capital founder Glenn Durbin, various Nobel Prize winners and presidential advisers, etc.

Coupled with the special nature of American public universities.

The State University of New York system, where Stony Brook is located, has 64 member campuses. It is the largest education system in the world and the largest and most comprehensive state university education system in the United States. It has a network of personal connections. Not inferior to Princeton in some ways.

In their opinion.

Although Beijing University is the best university in China at this time, it has no competitiveness in front of their school.

Unless

Xu Qingshan wants to enter politics.

But they were still rejected. For this reason, Charles and Milno had a sad face on the second and third days. From time to time, when they looked at Xu Qingshan, there was hope in their eyes. .

Just like a licking dog eager to be favored by the goddess.

Tian Gang was approached by Milno several times.

"Tian, ​​you didn't even tell me in advance that Xu would directly prove Zhou's conjecture and the twin prime conjecture at the venue, so why did you come to me for help?"

John ·Milnuo, a good old man, was provoked by Tian Gang to say dirty words for the first time.

“Do you think those guys from the American Mathematical Society are so blind that they gave the Cole number theory prize to other sons of bitches and missed Xu’s achievements?”

John Milnor looked excited in the room.

“Then what will have no gold content at that time will not be Xu’s achievements, but the Kohl’s Number Theory Prize.”

“Don’t worry, let alone the Kohl’s Number Theory Prize, even I think the candidates for the Fields Medal will have to be reconsidered now because of Xu’s academic conference.”

Tian Gang just held his hands and laughed.

Now that I think about my operation, it seems a bit redundant.

"That Fields Medal"

John Milnor knew what Tian Gang meant and nodded.

“The person who is currently under investigation and who is more likely to win next year’s award is Wu Baozhu, who is currently at Princeton and of Vietnamese origin. He proved the basic lemma of the automorphic formal theory in the Langlands program.”< br>
“There is also Elon Lindenstrauss, who has stayed at the Clay Mathematics Institute and Princeton before. He just won the Fermat Prize this year and went to the Hebrew University. He proposed Measure rigidity of ergodic theory and its application in number theory"

"Then there is Cédric Villani, who has just become the director of the Henri Poincaré Institute, I think you know him. His work on differential geometry is somewhat related to yours. He proved the nonlinear damping of Boltzmann's equation and its convergence to equilibrium, and he belongs to the Ecole Normale Supérieure in Paris, you know."

John. ·Milnor did not shy away from revealing the inside story of the Fields Medal. After all, to win the Fields Medal every year, it must be recognized as a major achievement.

“You also know that since the last time it was awarded to Tao and Perelman, the Fields Medal has been changed to four winners in each session. These candidates actually have achievements. For a while, only Xu’s results were the latest, but this is not a problem.”

“Now it seems that the person who completed the plane Ising model and the conformal invariant of seepage in statistical physics. The Russian will regretfully retire. He is already 40 years old. If he misses this session, he will have no chance.”

John Milnor sighed.

But he also knows very well that the mathematics world has always been full of such regrets.

Not to mention others, Tian Gang was like this in front of him.

Tian Gang's work results are already very close to the Fields Medal, but when he produced the most important results, he was too old.

"Although I have some empathy, I still hope that my students can win successfully."

Tian Gang also sighed and said.

“After all, there are not many people like me who have missed out on the Fields Medal, but those who can win the Fields Medal at the age of 19 are unique from beginning to end.”

Tian Gang did not hesitate to uncover the scars, he looked directly at John Milnor and said.

"It's like what's on the medal, TRANSIRESUUMPECTUSMUNDOQUEPOTIRI."

Tian Gang said an obscure Latin sentence, but every mathematician who has a lifelong ambition to win the Fields Medal No one is unfamiliar with this sentence, because it is engraved on the medal.

"Beyond the human spirit and be the master of the universe."

"I think the current mathematical community also needs more exciting news."

"I think you have convinced me."< br>
John Milnor nodded, took the initiative to reach out his hand and shook Tian Gang, and then he said.

“I look forward to seeing you build Dongfang into a dazzling academic world.”

In the final report of the last day, Xu Qingshan didn’t need to talk about anything at all.

He just had a simple and relaxed chat with the scholars present, talked about his academic and psychological journey, and also invited top scholars to go to the East, to China, and to Beijing University for those who are eager to Outstanding students with cutting-edge knowledge sow the seeds of wisdom.

It’s just the last dinner before the end of the meeting.

Xu Qingshan was once again surrounded by Lord De and the gambling king.

"Hey, Sir, Mr. Bombieri, I really have no idea of ​​teaching at Princeton at the moment. If I have the opportunity, I would like to invite you to teach at Peking University."

Seeing the posture of the two of them, Xu Qingshan spread his hands helplessly and said in a joking tone.

Jiang Huanxi accompanied him and handed him a wine glass. After all, etiquette required it.

"No, we didn't come to you to argue with you about that matter."

Deligne shook his head, with a smile on his face.

“Yes, the purpose of our coming is to hope that you can help me redeem my Ferrari.”

Enrico Bombieri also warmly came over. As he spoke, looking at his red face, it was clear that he had drank a lot.

"Enrique! What are you talking about! You have destroyed our symmetrical position!"

Deligne was dissatisfied and took Bombieri back to his original position and stood still, refusing to let him He went too close to Xu Qingshan. Didn't he see that his family was right next to him?

The blind Italians, hum!

“What do you mean by the Riemann Hypothesis?”

Xu Qingshan quickly realized the intentions of Deligne and Bombieri.

Same. Of these two people, one is the one who has pushed the contemporary work of the Riemann Hypothesis to the point closest to its solution, and the other is the guardian knight of the Riemann Hypothesis. I don’t know how deep their obsession with the Riemann Hypothesis is.

As the crown jewel of mathematics, the Riemann Hypothesis has always been one of the most eye-catching unsolved mysteries in mathematics. If it is proven, it will greatly greatly promoted the development of mathematics, especially in the field of number theory.

In addition to the field of mathematics, the Riemann Hypothesis also has an extremely important connection with physics, especially quantum mechanics. It can even reveal the basic properties of certain microscopic particles and make predictions in quantum field theory more accurate. , thereby promoting new breakthroughs in the field of quantum computing.

Everyone knows.

The importance of a scientific research work is directly proportional to its difficulty.

The more important it is, the more difficult it is to solve.

The Riemann Hypothesis was therefore listed among the seven major mathematical problems in the world by the Clay Institute of Mathematics in the United States in 2000. For every problem solved, you will receive 100 from the Clay Institute of Mathematics. $10,000 prize.

Seven major mathematical problems in the world.

NP-complete problem, Hodge conjecture, Poincaré conjecture, Riemann conjecture, Yang-Mills gauge field existence and mass separation conjecture, Navier-Stokoe equation, BSD conjecture.

This is the most eye-catching key in mathematics right now, like the brightest stage spotlight in the whole world.

Deligne and Bombieri heard Xu Qingshan take the initiative to tell the Riemann Hypothesis. The wrinkles on his face caused by laughter can directly pinch the flies that occasionally pop up in the club.

“We are just giving a brief comment. After all, you have such a talent in the field of number theory, and you have demonstrated both Zhou’s conjecture and the twin prime conjecture in such a short period of time. The Riemann Hypothesis is simply a measure for you. "Customized existence."

"Perelman solved the Poincaré conjecture. Although he has rejected the Fields Medal and the bonus, and announced his withdrawal from the world of mathematics, there is no doubt that he is the current one. One of the top mathematicians in the world. If you do it, then you are the youngest top mathematician, although you are already considered one now."

"I think maybe except for pure numbers. Results, such as the Riemann Hypothesis, which also have application value, are also necessary for your height, status, and honor."

Professor Deligne said sincerely.

“If you don’t have a new direction yet, we recommend you try it. The two of us can provide you with the greatest help and do what we can.”

Bangbie Li nodded and answered casually.

"Even if you ask me to follow you back to the capital now, my old man probably won't live for a few more years. I think this is my last chance to get the Ferrari from him. ”

"Enrique!"

"Well, Pierre, you really don't have to tease me, but even Mr. Grothendieck and Mr. Titz would like to see the solution of the Riemann Hypothesis."

Enrique Bombieri curled his lips and said.

Xu Qingshan nodded in agreement and answered.

“After all, there is no conjecture that is more symmetrical in nature than the Riemann Hypothesis. All non-trivial zero points are on the critical line, tsk, one-half, tsk.”

Deligne also nodded approvingly.

“I think the Riemann Hypothesis is indeed suitable for me, but such a difficult problem cannot be solved overnight. I hope that if it is possible, the two of them can come to Beijing University to become honorary professors? And come to Beijing. Maybe we can live here for a while.”

Xu Qingshan gestured to indicate cooperation.

Bangbieli’s words just now were actually just casual remarks, and he did not expect that Xu Qingshan would really bring this up.

Deligne looked a little confused.

"I still have many students to take care of at Princeton, maybe"

Before Deligne could finish speaking, Xu Qingshan interrupted him rudely.

"Sir, don't refuse in a hurry. What I mean is that I think I need to ask my teacher, Mr. Tian Gang, to introduce it to you."

Xu Qingshan asked Jiang Huanxi to find Tian. Just now, I stayed there to accompany Deligne and Bombieri to briefly discuss the work content of the Riemann Hypothesis.

After a while, Tian Gang came over in a daze.

"Teacher, I leave these two things to you."

Xu Qingshan whispered.

“I’ve tricked people into coming here. Just tell them about your math center. As long as you can get people over, it’s okay even during holidays and lectures, and you can get some direct guidance from students. Anyway, you can apply for it, as long as you are not a full-time resident, they will definitely agree, and leave it to you."

After Xu Qingshan finished speaking, he smiled and patted Tian Gang on the shoulder to signal. He went to have a detailed discussion with Deligne and Bombieri, while he returned to the banquet with Jiang Huanxi and a wine glass.

He is only responsible for the beginning, leaving the actual details to the teacher.

After a long time, Xu Qingshan saw Tian Gang finding him with an expressionless face.

"What's wrong? No agreement has been reached?"

Xu Qingshan and Jiang Huanxi were sitting at the table, working hard on their meal.

He ate the most authentic Boston lobster here, and it tasted pretty good.

"It's settled."

Tian Gang shook his head and sighed, sat down, and obediently Jiang Huanxi handed Tian Gang the untouched Bolong plate on the other side.

“Thank you.”

Tian Gang thanked him politely and said.

"The main reason is that they just talked to me about the Poincaré conjecture and Perelman."

Xu Qingshan was stunned for a moment.

"Teacher, do you know Perelman?"

Seemingly realizing that his question was a little stupid, Xu Qingshan changed his mind.

"Are you friends?"

"Well, that's right."

Tian Gang nodded.

“When the Poincaré conjecture was proven, Perelman was the first to send me the abstract of the article, as well as Mr. Qiu.”

Tian Gang was unwilling to mention his full name.

Sure enough, when it comes to that person, Tian Gang's mood is not very beautiful.

Xu Qingshan observed the teacher's expression and asked cautiously.

“What then?”

Tian Gang raised his eyes and glanced at Xu Qingshan, his eyes were very sad.

“Morgan and I tested and explained Perelman’s proof, and the Clay Institute used our proof as the basis to confirm that Perelman solved the Poincaré conjecture, but What happened next was beyond our imagination, even a little disgusting. "

Tian Gang rarely talked about this with Xu Qingshan.

Xu Qingshan calmed his expression and listened carefully.

“In those few years, maybe five or six years ago, I had a lot of exchanges with Perelman, and I invited him to the school to give lectures many times. I was still at MIT at the time, not in Beijing. Big."

"But I didn't expect Mr. Qiu to let people try to steal Perelman's achievements."

(End of this chapter)


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