Although Xue Song did not record the process of Qiao Yu immersed in the verification, he recorded Qiao Yu speaking this complete sentence with confidence. This video is obviously more valuable.
Of course, the premise is that Qiao Yu's proof process can be recognized by mathematicians in related fields around the world.
However, Xue Song can see the kind of confidence in Qiao Yu's attitude. He doesn't judge whether confident people are handsome or not, but so far, when Qiao Yu shows confidence, he has not missed it.
For example, when many world-renowned mathematicians were supporting the proof of the geometric Langlands conjecture, Qiao Yu confidently stood up and said that some of the proofs were wrong.
Facts finally proved that he was right, and Xue Song inexplicably believed that it would be the same this time.
So he still said: "How about writing out the proof process? You always have to write a paper. I won't read it, so I will record this moment."
Okay, now that Professor Xue said so, Qiao Yu picked up the pen and wrote a few more strokes on the manuscript paper.
The modal operator Ls constructed based on group action is defined as:
Among them: K(g,s) is the modal kernel function.
Through spectral decomposition, it can be seen that the modal operator eigenvalues ​​are symmetric: λ(s)=λ(1s)
Finally it can be proved: Re(s)=1/
In fact, it doesn't make much sense, because it involves citing a theorem that he has already proved in another paper.
But it didn't matter. Qiao Yu knew that Lao Xue was just doing it for a sense of ceremony. He didn't even look at the proof process. He just clicked on his phone with satisfaction and put it in his pocket.
It seemed that he was going to turn around and leave, but he hesitated for a moment before leaving and asked, "Do you want to talk to Professor Tian about this first?"
Qiao Yu thought for a while and said uncertainly: "Should I say it? Otherwise, I will be scolded."
Xue Song laughed and joked: "How about I go talk to Director Tian. I introduced you to him back then... I thought it wouldn't be too much to call him Lao Tian today."
"Hehe..." Qiao Yu giggled twice.
Mainly because the problem seemed to be solved a little too easily, and it didn't even have time to make him feel excited and excited...
He had previously thought about how he would celebrate if he could really solve the Riemann Hypothesis. But he expected that day to come later.
After all, Brother Chen's verification work is still very complicated, and it is possible to delay it for more than half a year or even a year. But then again, relying too much on calculations for verification actually loses some beauty.
This feels pretty good too.
Especially when he felt Xue Song's excitement, Qiao Yu also began to have some feelings...
"It's okay for me to make a joke, but not for you. Academician Tian is your mentor after all."
Xue Song looked at Qiao Yu's silly smile and reminded him.
"I didn't want to call him Lao Tian! Really." Qiao Yu quickly explained, and then added with a bad smile: "Well, Lao Xue, if you do call me, remember to tell me."
Xue Song was startled, then glared at Qiao Yu.
Good guy, before he called Tian Yanzhen "Old Tian", Qiao Yu called him "Old Xue" first?
Well, it is true that it is difficult for children to learn well, but it is really easy to learn bad things.
But after glaring, Xue Song pointed at Qiao Yu and subconsciously smiled again...
Nothing much to say.
If you think about it from another angle, being called Lao Xue by a Fields Medalist is actually nothing, and is even less honorable.
"Okay, Xiao Qiao, it's settled. I'll leave first."
Qiao Yu opened his mouth, but didn't say anything.
Sure enough, you can't just add a small character in front of your surname. Especially his last name. Adding a small character to a good surname will make it look a bit girly.
After all, Su Shi's sentence "Xiao Qiao got married for the first time" is in the textbooks and has been widely circulated. However, considering that Lao Xue studied mathematics, his Chinese may not be very good, and he probably doesn't play King, so I decided to forgive him.
People, don't be too fussy, otherwise you will lose friends easily.
But after Xue Song left, the room became quiet again. When Qiao Yu was about to turn his attention to the documents on the computer again, he suddenly couldn't calm down.
No, he seemed to have solved the Riemann Hypothesis just now. A problem that no one has been able to solve for more than a hundred years is now said to be worth $1.5 million.
It was originally one million U.S. dollars, probably because the Clay Institute felt that one million U.S. dollars in 2000 was not that valuable now, and was afraid that mathematicians would lose motivation, so it added an additional half a million U.S. dollars!
It's just that this time there was no fanfare, just an announcement on the official website. Mathematicians who pay attention to these issues will naturally see it.
According to the current exchange rate, this amounts to more than 10 million yuan, and Director Tian told him that this kind of international academic bonus is legally tax-free.
Is it difficult to say something else about the Riemann Hypothesis? If he doesn't get excited, it's disrespectful to money.
If you don't manage your money, your property will disappear inexplicably, but if you don't respect your money, you won't have any property at all.
Although Qiao Yu felt that he would never become that kind of serious capitalist, after all, he could not risk the gallows just to covet the 300% profit rate.
But he respects money from the bottom of his heart.
Thinking of this, Qiao Yu was instantly excited.
He took out his cell phone and dialed Qiao Xi.
As soon as the call was connected, Qiao Yu couldn't wait to speak: "Mom, I have to give you another task."
Soon an angry voice came from the receiver: "What? Your skin is itchy and you want to loosen your bones?"
"Can you please listen to me first? My mission is to think carefully about what you have wanted most since you were a child. Well, the kind that can be bought with money. The price should be no less than five million. Except for a house.
!After all, our family will not be short of houses in the future!”
Qiao Yu said enthusiastically.
According to the views instilled in him by his grandfather, the greatest respect for money is to think about how to spend it after earning it.
After all, if he has 10 million, if he doesn’t spend 5 million quickly, how will others know that he has earned 10 million? It is difficult for people who don’t know how to spend money to enjoy themselves to have great motivation to make money.
It is a pity that Qiao Yu has not experienced the life of a rich man. He does not know what the life of a rich person is like.
Although he also knew that in the eyes of truly wealthy people, ten million dollars was probably about the same as one dollar. But Qiao Yu felt that the value of his ten million dollars was obviously different.
Lao America gives away money to spend at home, this pattern is enough to kill all the kings in an instant.
"Huh? Suddenly so angry? Have you made money again? No less than five million? You have made more than ten million? Have you hacked the banking system?"
Qiao Xi's distrust made Qiao Yu a little annoyed, but considering that Qiao Xi was a half-time math student and not very familiar with things in the mathematics world, Qiao Yu decided to forgive her.
He is in a good mood today. Even Lao Xue has forgiven him, so naturally my mother can forgive him.
"You, a math novice like you, don't ask about the big guys in math. Just think about how to spend your money like I said! No more talking, I'm still busy bragging to my friends!"
After saying that, Qiao Yu hung up the phone directly.
In the past, he always waited for Qiao Xi to die first. But it was different today. Qiao Yu felt that if he didn't act recklessly, he would be sorry for the great mathematician of the last century, Bernhard Riemann.
In short, he can hang up whoever he wants to call today! Riemann said yes!
Then Qiao Yu opened WeChat and looked through WeChat groups. The active group chats were all too professional.
There is no point in showing off to professors who are too professional at this time. When he writes the paper and is recognized by the big guys, these people will naturally take the initiative to chat with him.
People from Class 13 were actually chatting in the group before. During the winter vacation, someone suggested having a class reunion. However, there were only a few people who responded.
Qiao Yu thought for a moment and decided to forget it...
The main reason is that I don’t want to trouble these students to check what the Riemann Hypothesis is so late at night.
Of course, the most important thing is that Qiao Yu feels that even if these people go to investigate, they don’t think he is very good at solving this problem...
Finally, I accidentally saw the friend group.
This friend group that was originally established has actually been dormant for a long time. After all, except for him, the remaining three people are already classmates and can meet and chat every day.
Now that Qiao Yu and I could no longer chat together, the group naturally became quiet.
It was also the time for the Chinese New Year, and the three guys popped up and chatted for a while. They just wished each other a Happy New Year and those old-fashioned things.
I don’t know who I learned from to be so stingy, not even a red envelope, just a few words of hard wishes, especially Yu Wei...
So Qiao Yu thinks it's quite good to make these people envious and jealous. And at this point, everyone should be playing in the dormitory and haven't slept yet.
So I quickly edited a sentence and posted it in the group.
"Hey, I accidentally proved the Riemann Hypothesis just now. I'm so angry... I just finished my work and could rest for a while, but now I have to start writing the paper again. Hey..."
There is no doubt that the three guys in the friend group are definitely better than the classmates in Class 13. At least Qiao Yu believes that they don't need to check the Riemann Hypothesis online.
So the three "???" who quickly lined up to reply were definitely not asking what the Riemann Hypothesis was, but probably asking whether Qiao Yu had any serious illness.
But Qiao Yu still replied: "What? You three don't know what the Riemann Hypothesis is?"
"Is there a possibility that my three question marks don't mean to ask what the Riemann Hypothesis is? But to ask why you are bragging in front of us?"
It is Yu Yongjun who gives the most face and replies the fastest.
"Haha... This is a good question. So is there a possibility that I am not bragging to you at all, but simply stating a fact?"
This time Yu Wei couldn't help but reply: "I just checked online and didn't see any relevant reports."
"Brother Yu, I always thought that your main problem was that your math scores were not very good. It turns out that the most troublesome problem is your Chinese language! Can't you read the questions? I mean, I just proved it. The paper hasn't been published yet.
Where did you find out the relevant reports?”
Yu Wei: "..."
After all, what Qiao Yu said made sense, but he couldn't refute it. What made Yu Wei feel even more uncomfortable was that Qiao Yu actually called him brother Yu... in a polite way.
But then again, calling him like that is a bit like those professors. He once heard a professor call him this when he answered the phone.
"But there is nothing wrong with Brother Yu's idea. Generally speaking, it takes three to five months. When my paper is published, you will know how ridiculous the question mark raised today is."
After saying that, Qiao Yu closed WeChat and turned on the computer.
The mentality of showing off has been satisfied, and the task of these tool people as friends has been completed. As for what they think, it is not important. Now we still need to write the paper quickly.
As for the paper you just downloaded, when should you not read it?
…
Xue Song, who had already walked out of the door, hesitated for a moment in the cold wind of early spring in the capital before calling Tian Yanzhen.
The hesitation was of course not about whether to call Tian Yanzhen Lao Tian, ​​but about whether to inform Tian Yanzhen of the matter on the phone or to pay a special visit to Tian Yanzhen's home to discuss the matter.
During the Chinese New Year, he specially went to pay Tian Yanzhen New Year greetings and knew where Tian Yanzhen lived. And it was not far from the school.
Although it was a little late now, Xue Song felt like he was joking when he was notified on the phone.
But then again, it had been more than ten minutes since he walked out of Qiao Yu's room, and he was still dizzy and felt like his brain capacity was not enough.
After all, Qiao Yu said that he proved the Riemann Hypothesis.
Fortunately, the March night wind in Beijing was cold enough, so he woke up quickly. Then he took out his mobile phone and dialed Tian Yanzhen's number.
"Hey, Professor Xue, do you have any good news if you call me so late?"
It sounds like Tian Yan is really in a good mood.
However, Xue Song felt that the big boss would be in a better mood later.
"Well, there is indeed some good news. Are you in the capital? If so, I would like to report to you in person."
"Oh? It seems like this good news is not simple. Okay, I'm at home, come over."
"I'll be there soon."
…
Twenty minutes later, in the study room of Tian Yanzhen's home, Xue Song showed Tian Yanzhen the video he had just recorded.
Xue Song had been silently observing Tian Yanzhen's expression, and then he was completely convinced. He was indeed a boss, and he was not obviously surprised.
Well, Xue Song didn't know that Qiao Yu had promised in front of Director Tian that he could solve the Riemann Hypothesis within one year, which was equivalent to having been vaccinated.
If I knew, I probably wouldn't have such admiration.
"This child..."
After watching the video, Tian Yanzhen said with a smile, then looked at Xue Song and asked with a smile: "What happened today? Please tell me carefully."
Naturally, Xue Song would not hide the issues discussed with Qiao Yu today and the ideas given by Qiao Yu.
Although there were some things that Xue Song didn't quite understand, it didn't stop him from writing them down.
This is basic practice.
Generally speaking, people who are very good at mathematics and physics actually have good memory. It is not a mechanical memory ability like hyperamnesia, but a structured thinking mode.
"Haha, it seems that you gave Qiao Yu the inspiration this time. Although there is no second work, but with Qiao Yu's temperament, I will definitely thank you specifically in the paper!"
Tian Yanzhen smiled and encouraged him.
Xue Song also laughed, but it was just a bit of a false name. He didn't care... No, he still cared a little... Okay, Xue Song decided to admit that he actually did care.
It would be best if I could thank him specifically. After all, this paper solved the Riemann Hypothesis.
If according to Western mathematicians, this problem is the crown jewel of mathematics, then he can be regarded as stamping his own name on this pearl.
God knows how many people would read Qiao Yu's paper if it was approved.
After all, there are thousands of papers in the world's academic libraries that use the Riemann Hypothesis.
Theorems in prime number distribution, analytic number theory, cryptography, mathematical physics, and God knows how many fields have implicit assumptions that are true.
Especially in analytic number theory, a large number of studies on the ζ function and L-function are based on the establishment of the Riemann Hypothesis. This is especially true for the research on the properties of number theory functions.
Xue Song can even predict that the number of citations of Qiao Yu's paper will most likely explode. After all, thousands or even tens of thousands of papers may adjust their basic assumptions or even modify relevant proofs because of Qiao Yu's proof.
After all, if you understand Qiao Yu's method, you may be able to simplify some complex conclusions or derive more concise and novel theorems.
Not to mention related seminars, lectures, and related papers.
Xue Song knows how many people want to invite Qiao Yu to give lectures and seminars.
If Qiao Yu's proof is accepted, this number will now have to be multiplied by at least ten.
This is the number after eliminating those research institutions that are not qualified to issue invitation letters.
In the past, those institutions that had invited Qiao Yu with the mentality of giving it a try would have stopped thinking. What level? Are you embarrassed to invite a mathematician who solved the Riemann Hypothesis?
As long as Qiao Yu is willing to nod, he can definitely go to any first-class university in the world to become a tenured professor or an honorary professor.
Therefore, even if his name only appears in the acknowledgments of the paper, it is basically certain that he will wear a hat in the future. There is even a high hope that he will become an academician in the future.
Of course, these were just inner thoughts. Xue Song was still very restrained. After laughing, he asked: "Actually, I want to know what Qiao Yu wrote in that paper. I didn't even know that he also sent an article to JAMS
Thesis...hey..."
"It's hard for me to explain this to you. But you should know it soon. The paper has been proofread and will be published this month."
After saying that, Tian Yanzhen glanced at the time on the wall clock in the study and said, "It's already half past eight. In this case, I'll call Mr. Yuan. If he's not asleep yet, why don't we go visit Mr. Yuan together and inform him
This is good news for him.”
Xue Song nodded with a smile, but still felt a little guilty in his heart.
The elderly don't get much sleep. Who goes to bed after eight o'clock?
But he can also understand Tian Yanzhen's thoughts.
After all, he had the same idea when he came here. And if he were his student, he would also like to show off.
The teacher thinks that I am not good every day, but my students have solved the Riemann Hypothesis... At least I am older and more discerning than you...
Really, Xue Song felt a little regretful at this time.
Chapter completed!