Chapter 158 How could you forget?
On the other side of the ocean, it is already late at night or even early morning in most places.
But the discussion triggered by Ann.Math’s sudden update today is also continuing.
Well, it can no longer be said to be a discussion. It can be said that an earthquake has begun in the academic world.
Researchers engaged in mathematics may not subscribe to other journals, but it is impossible not to subscribe to the four top journals. Naturally, the publication rules of the four top journals are also very clear.
Bi-monthly publications like Ann.Math are almost never published in the first three days of the month, which seems a bit impatient.
Of course, this also made many people pay attention to this year's paper for the first time.
Especially among a group of scholars who study algebraic geometry and number theory, the impact of Qiao Yu's cover paper can even be said to be at the level of a nuclear explosion.
The reason is that the generalized modal axiom system proposed by Qiao Yu is actually a programmatic mathematical idea, and it is a highly creative and cutting-edge mathematical idea.
But at the same time, unlike the Langlands Programme, Qiao Yu did not propose a series of conjectures, but directly set out to prove these propositions, reflecting very direct operational thinking.
Qiao Yu not only provides a theoretical framework, but also actively works to prove relevant propositions.
Similar to a path that combines theoretical research and verification, the process from idea proposing to theoremization is seamlessly connected.
To be honest, expanding the boundaries of classical mathematical thinking through a new axiomatic system is what every mathematician hopes to do.
For example, when talking about calculus, people will think of Newton and Leibniz. The status of these two people in the world of mathematics is naturally unquestionable.
Similarly, if Qiao Yu can perfect his system of generalized modal axioms, this set of research methods will probably become a required course for future mathematics students, just like calculus.
The reason is simply that these two words are easy to use.
Regardless of its abstractness, if Qiao Yu can enrich this axiom system, it will undoubtedly make many currently difficult problems simpler.
The key to this is the expansion of the tool library.
Many people don’t quite understand the meaning of tools in mathematical operations. In fact, to put it bluntly, they are theorems constructed by mathematicians using rigorous logic in papers.
For example, calculus, Fourier transform, Laplace transform, complex variable function, variational method, sieve method, group theory, differential geometry, symplectic geometry, Markov chain, etc...< br>
The current development of mathematics is that these mathematical tools can only play a role in specific fields.
But mathematicians believe that these branches of mathematics are deeply connected. As for how this connection is reflected, no one has discovered yet.
Then there is algebraic geometry, which is nothing more than connecting algebraic equations with geometric curves.
As well as mathematical physics, symplectic geometry is used to study Hamiltonian dynamics, and its structure is also derived from mathematical symmetries and geometric transformations.
Even the subsequent Langlands Program, the most essential purpose of this program is to unify algebra, number theory and representation theory, and to establish cross-field connections by establishing a deeper framework of mathematical tools.
The most successful part is that it provides a macro perspective that allows mathematicians to analyze the common laws behind these mathematical tools.
This has also led many people to believe and make judgments that the perspectives of different mathematical tools may be abstracted into a broader axiom system in the future.
To put it bluntly, Qiao Yu is currently doing such work, which can be regarded as a new attempt to unify mathematical logic tools.
Of course an attempt may not cause any waves. Mathematicians have made many attempts. There are only a handful of people who can truly make an impact.
But there are no secrets in the mathematics community. The luxurious reviewer lineup of these two papers has long been spread.
After all, for these big guys, reviewing such a mathematical paper, which they collectively believe is logically rigorous, is not something that needs to be kept secret.
Those who don’t want to be exposed are often those who know clearly that this article is just a piece of shit, but because of personal relationships, people come to ask for it, and they have to hold their noses and give it a pass.
So the comment that Dugan Lott helped Pierre Delini make up also spread.
“This will be the greatest milestone work of this century, probably no other!”
After the paper was released, a friend even sent a private message to Pierre Delini with this comment Whether it was true or not, Pierre Delini admitted without hesitation.
He even said that Andrew Wiles thought he was right...
Yes, Pierre Delini now feels that Lot Dugan is his perfect mouthpiece.
Well, if there hadn't been the paper that Qiao Yu reported at the Chinese Mathematical Society today, he might have pushed Lott Dugan out in a joking tone.
But there is no need for that now.
Although Qiao Yu just gave a report at the Mathematical Society early this morning, Pierre Delini had actually read this paper on the prime number problem a few days ago.
Still researching it even today.
After Tao Xuanzhi accepted the invitation of the Chinese Mathematical Society to jointly review this paper, he also had some in-depth discussions with Pierre Delini.
The two men concluded that it was a very bold attempt to transform the distribution of prime numbers into a modal problem on a geometric path.
What the two admired most was that Qiao Yu’s paper drew on the idea of the prime number theorem when constructing the modal density function.
This shows that Qiao Yu’s generalized modal axiom framework has provided a brand-new tool for solving conjectures in classical number theory.
Yes, not possible, but already!
When the two people came up with this argument, Tao Xuanzhi directly posted this opinion on his personal blog.
Tao Xuanzhi's blog may not have many fans compared to those big stars.
But his fans are very pure. Whether it is the courses at UCLA, the open classes at MasterClass, or his status as the youngest Fields Medal winner, he has a lot of influence in the mathematics world. fans.
And his personal blog often comments on the papers of some well-known mathematicians, and the comments are very detailed.
Just like he once commented on Zhang Yuantang's paper on his personal blog, and even found many errors in it.
This also promoted the spread of Qiao Yu's paper again.
So when the day passed, Qiao Yu's paper began to spread widely in the Western mathematics community.
For Qiao Yu, what he gave at the Mathematical Society was just an abstract and preliminary manuscript submitted, because after all, mathematics is different from calculation.
So Tian Yanzhen’s opinion is to submit the report directly to the journal, and even directly made a deal with Lot Dugan using this paper.
Of course, it was precisely because this paper had been presented at the conference that Qiao Yu not only directly entered the backend system of Ann.Math after the report, but also directly posted it to the pre-publication website arXiv.
With Tao Xuanzhi’s promotion on his personal blog, Qiao Yu’s paper on bounded intervals between prime numbers immediately hit a download peak.
Especially for mathematicians who study prime numbers, this is definitely the most exciting breakthrough in recent years.
Now that Qiao Yu has been able to make the bounded interval between prime numbers reach 6, it means that it is not far away from completely solving this problem. Maybe they can even use the set of tools given by Qiao Yu to solve the twin prime conjecture, Bodonia conjecture, or even Riemann conjecture...
In mathematics, there are generally two types of mathematicians who are most likely to be recorded by history. Well, the first one is the founder, or the founder of a mathematical direction.
For example, Gauss pioneered number theory, algebra, and probability theory; Euler introduced analytic number theory, graph theory, and the Euler formula; Poincaré introduced topology and dynamic systems, and Goldbach's conjecture inspired research on integer theory...
The second type is the coffin lid for a type of problem.
The most typical example is Andrew Wiles. Because he solved Fermat’s conjecture that he didn’t write down because he didn’t have enough positions, even though he was over forty years old, the Mathematical Union specially made it for him. He won a Fields Silver Medal, and it is currently the only Fields Silver Medal in the world...
There is no doubt that even if someone solves the Riemann Hypothesis at the age of sixty, he will probably Winning this honor will turn the only Fields Silver Medal into two!
But to be honest, for mathematicians who have reached a certain age, they rarely have such unrealistic ideas to challenge those big propositions.
For example, the six millennium questions... because everyone knows that if you challenge those questions rashly, there is a high probability that you will get nothing for the rest of your life.
If you spread the word and people laugh, you are overestimating your capabilities.
In fact, mathematics has developed to this era where the branches are extremely detailed. There are many unsolved small problems. They prefer to focus on relatively more specific and controllable problems.
For example, Boolean mean, perfect matching, Hamiltonian path, equidistant set...
Really, as long as we don’t look so big, the mathematics world can really accommodate a lot of people. Overcoming those small problems is also extremely valuable, and can even promote the development of some applied technologies.
But things are different now. The three papers made many people suddenly have some different ideas.
If you just look at Qiao Yu's first two papers, it is obvious that they focus on the general mathematical language problem of mathematical unification. It can only be said that the guy who tried to build such a basic mathematical framework is indeed a genius, and he is very brave. Think about it and dare to do it!
But the third article directly reduced the interval from 246 to 6, which shocked many people.
If you can quickly master this new mathematical method and then solve one or two important problems in number theory, you will make a lot of money.
Even if it only proves the twin prime conjecture, as long as the age is not exceeded, a Fields Medal will most likely be guaranteed.
If some more advanced number theory problems...
Some people even think that if Qiao Yu's system is successfully constructed, it may really be able to solve the Riemann Hypothesis, N-S equation, and even N=NP? This kind of problem.
So it is conceivable that the enthusiasm of the world's academic community is rising, and the impact is on all aspects!
……
Across the ocean, Berkeley.
As soon as Frank arrived at the office, he received a call from Lucas Eisen.
After a few simple greetings, Lucas Eisen got to the point directly.
“You should still remember Qiao Yu, right?”
“Of course, I think I will never forget him in this life. After all, he made me experience the biggest setback in my life. Well, At least that’s the case so far.”
Although Professor Frank didn’t think so, or he remembered Qiao Yu not just for this reason.
But apparently the excuse was almost airtight, and it suited the Federation's self-deprecating sense of humor.
Yes, more than ten years of living in the Federation has allowed him to integrate into this cultural system.
For example, everyone values the most but in fact, it is impossible to get the G-spot without this kind of culture...
"Haha, Frank, so you should always pay attention to him, right? Then he You should have seen the latest articles, right?"
"You mean the two articles published by Ann.Math? Yes, I have read them. They are very innovative. Give part of the credit to his collaborators.”
"No, it's not just the paper published in Ann.Math. It seems that you went to bed too early last night. You should go to arXiv to read his paper on bounded intervals of prime numbers.
Yesterday In the evening, a few of us old guys had a brief conference call. In fact, the entire academic community was very interested in his research!
If he is willing to join the Federal Mathematical Society, there is no doubt that this year's Cole Prize will be awarded to him. However, one thing is confirmed, next year's Ramanujan Prize has been determined in advance for him, and everyone thinks not. There will be someone more suitable than him."
Lucas Eisen's words made Frank not know what to say for a while.
He paid attention to Qiao Yu's paper on Ann.Math, but he hasn't finished reading it yet.
He attended a meeting last night, then went home and went to bed early.
He really didn’t know that Qiao Yu had once again disturbed the pulse of the world’s mathematical community. "What do you mean?"
"I mean, many old guys think that Qiao Yu's system of generalized modal axioms will become the most important research direction in mathematics in the future.< br>
Some people even think that Qiao Yu can unify number theory, algebra, geometry and representation theory through this theory, so if you have any other ideas, I suggest you try to contact him to join his project.
Although this seems difficult now, after all, there are many people who want to establish cooperation with him, but since you have had some contact before, if you can express enough sincerity, you may be able to win some opportunities. "
Frank took a deep breath. Of course he knew who those old guys Lucas Eisen was talking about...
In fact, in a small-scale meeting, with Most of the people Lucas Eisen communicated with were famous students. There are also barriers to entry in the academic world. For example, although he has some relatives with Lucas Eisen, he is not qualified to participate in this small-scale discussion.
These people even think that Qiao Yu is not qualified. Can the generalized modal axiom system achieve the unification of mathematics?
This really means that what he can't get, for Qiao Yu, he may be able to reach it in the future.
You must know that so far he has only won the Halmos-Ford Award and the AMS Outstanding Teaching Award.
They are all small awards from the Federal Mathematical Society, and one of them is for teaching rather than scientific research.
He has published a lot of papers in top journals, but rarely have they been discussed exclusively by so many big-name figures.
This time Frank felt that this world might be a false world.
The things he wished for were within easy reach for a sixteen-year-old child.
What made him speechless even more was that this sixteen-year-old child was almost certainly his illegitimate child!
Really, if he had known earlier, he would still be working so hard on the hammer! It would be better to stay in China and give birth to this child with my first love.
Then while reading, he cultivated Qiao Yu into an adult. Frank feels that with his ability, it is not difficult to become a professor or researcher in a Chinese university or research institute.
The next step is easy, because as long as he is raised to the age of sixteen, this guy seems to know everything, and then he can take off directly.
Yes, having a Fields Medal grandfather, Frank understands better than the average person how much fun it is to have someone take you flying.
You don’t need to think about so many messy things. As long as you have results, you will definitely be able to take off, even if the results are not that good.
For example, the guy named Chen-zhuoyang is obviously the kind who is being led away by Qiao Yu.
Now he has to compete with others for the place to cooperate with his son. Even if he goes through it in his mind, Frank feels that life is really too ironic!
This also made Frank regret for the second time. Maybe he should have had a good talk with Qiao Yu about this matter after meeting Qiao Yu at the World Algebraic Geometry Conference last time.
If he had honestly told Qiao Yu that he was his father last time, maybe the papers on Ann.Math would have been the same!
Although China doesn’t quite recognize this, the international academic community still does! The father and son worked together to create a new system of mathematical axioms, and even contributed to the unification of mathematics, which will surely become the history of mathematics...
"Hey, Frank, are you still there?"
The voice coming from the receiver of the mobile phone interrupted Professor Frank's thoughts... It was obvious that the old man opposite was a little unhappy.
"Oh, I'm here. I'm sorry. I was just looking for the paper you just mentioned on the computer. I can't wait to see his results. Like you said, maybe I should Contact him and, if possible, join his research group..."
Apparently this reason made the old man opposite feel better, and when he spoke again, he no longer had that impatient tone.
“Yes, you can do some research first. Good communication starts with academic recognition. By the way, you can ask him if he is interested in joining the Federal Mathematical Society.
Of course I It's not that you can successfully register by filling out an application online and paying the membership fee, but that many senior members, including me, are willing to write a letter of recommendation for him.
Furthermore, the editor-in-chief of JAMS, Professor Kostenbad, is very optimistic about Qiao Yu. He heard that the status of professors doing basic mathematics research in China is not very high, and he hopes that Qiao Yu can come to the Federation. Work.
You can talk to Qiao Yu about all of this, but he is only sixteen, so you need to master some methods.”
Although he couldn't see it from the other side, Frank nodded subconsciously before replying: "Understood."
......
After hanging up the phone, Frank immediately started looking for Qiao Yu online. ’s latest paper, I took a look at the evaluation of Qiao Yu by other mathematicians on academic forums.
Soon he saw the comments from Tao Xuanzhi and Pierre Delini.
How should I put it... Anyone in the academic circle knows that whether the federation is looking for investment, or China is applying for various projects or funds, the judges often look at more than just what magazines are published. , and there are also external evaluations.
Even if a paper is only published in an ordinary journal, but this paper is publicly evaluated as having made some important progress by a Fields Medal-level boss on a formal occasion, it means that it will occupy the top spot in any review. Absolute advantage.
Because this kind of public evaluation is, in a sense, a kind of academic affirmation using one's own influence.
So it is generally rare to hear those math giants comment on the results of others through public channels, such as personal blogs, ins, or when giving reports at various academic conferences.
Even if it is said occasionally, it is usually in more conservative terms, such as very promising work, or ideas worthy of further research.
But this time Pierre Delini actually said: "This will be the greatest milestone of this century, probably none!"
This is no longer a simple recognition, it can be said to be a public academic endorsement! High public recognition from top mathematicians can almost be said to override traditional evaluation systems.
The moment he saw this comment, Frank realized that Qiao Yu would most likely quickly enter the core circle of academia. No wonder Lucas Eisen said that he might want to cooperate with Qiao Yu now. It’s difficult...
This might be extremely difficult.
He even suspected that Qiao Yu's mailbox was already filled with emails asking for cooperation!
This time Frank began to wonder whether he should contact Qiao Yu in some direct way...such as making a phone call.
After all, if he just sent an email, he doubted that Qiao Yu would even read it!
……
That seems to be the case.
The annual meeting of the Mathematics Society is not over yet, but for Qiao Yu, it is almost over.
At noon, he still thought about walking around with Senior Brother Chen in the afternoon, but in fact he didn't even have time to send Senior Brother Chen a WeChat message throughout the afternoon.
From afternoon to evening, there was an endless stream of professors who came to him for academic discussions. During this period, more than one person expressed the hope of cooperation.
Even the other report sessions were much deserted.
If Qiao Yu just wanted to make an advertisement before, obviously the effect was unexpectedly good.
Qiao Yu has also begun to doubt life. He wondered if these people had never eaten fine bran...
It was just a periodic article, why did everyone suddenly burst out with such enthusiasm?
He hasn't solved the Riemann Hypothesis yet, no, he hasn't even completely solved the twin prime conjecture.
Every professor is so enthusiastic now. When he really solves those well-known conjectures, won’t these people go crazy?
Well, at this time, Qiao Yu didn’t know that several Fields Medalists had transformed into Qiao Chui and were bragging about his achievements in their own ways.
If you knew...
You would probably think that these big guys are really knowledgeable.
However, at eleven o'clock at night, after finally sending everyone away, Qiao Yu still inevitably felt tired.
Of course, this is normal.
I gave a report in the morning, and in the afternoon and evening I kept talking to other people except during meal time, dealing with many problems...
If you can't understand it, you can imagine what it feels like for the teacher to work an extra day. Not moving much, but the brain He needs to keep turning and talking...
What was supposed to be mental work has been turned into physical work. That is to say, he is only sixteen years old and is still the most active time in his life. Tian Yanzhen or Yuan Zhengxin's physical strength has long been unable to keep up.
"It turns out that Director Tian was protecting me yesterday. Alas...I wrongly blamed Director Tian! It's terrible how enthusiastic these professors and researchers are!"
Qiao Yu complained to Qiao Xi. There were only mother and son left, so naturally they could speak more freely.
"Well, that's good to know." Qiao Xi answered casually.
Although it was a little noisy, it was not her who was surrounding her anyway. As long as she put on her headphones, she could ignore all the noise.
"Hey... you said that so many schools have invited me to give reports now, should I go? Go, it will waste time, after all, I am very busy; don't go, they are so enthusiastic , with such a sincere attitude... Sure enough, it’s a sin to be too good!”
Qiao Yu habitually praised himself in a self-pitying tone, and then looked at Qiao Xi...
Zhan Ming said: "What are you waiting for? Why don't you praise me quickly!"
But unfortunately, Qiao Xi just smiled and said: "Yes, yes, it is the icing on the cake for outstanding people. You published a top-notch paper and solved another problem for everyone to see. It’s a difficult question, so you deserve it.
Don’t worry, you will get a prize in the future, and more people will invite you to give lectures. Then we will be like this in this life. After all, I feel quite comfortable."
Qiao Yu glanced at Qiao Xi and said, "Why are you so hopeless? I want to do something big!"
"Oh, you still remember? That means you are still on the road, so do you still have to ask me what you should do now?" Qiao Xi said casually.
Well, standard heuristic education.
The key is that Qiao Yu actually thinks that Qiao Xi is right. It can only be said that Qiao Xi knows how to PUA him...
"I was born by you, so you are right!"
Qiao Yu replied half-heartedly, and then planned to I went to take a quick shower and then went to bed.
There was nothing he could do about it. With Qiao Xi by his side, he couldn't even think of not practicing hygiene occasionally.
Qiao Xi would not scold him or hit him, but she would always stare at him with that incredible look, as if to say: "What the hell did I give birth to?"
Qiao Yu always felt that this was probably the reason why Qiao Xi’s music teacher thought she could become an actress.
Those eyes really seemed to be able to talk. Of course, it may be that his brain is more flexible and he is particularly good at thinking...
But before he could enter the bathroom, his cell phone rang. .
Well, this person is quite rude. He is still on the phone after 11 o'clock in the evening.
Hey, it’s still a foreign number...
After answering the phone, Qiao Yu greeted naturally: "Hello?"
"Hello Qiao Yu, I'm Frank, remember? We met at this year's World Algebraic Geometry Conference."
Qiao Yu was stunned, and then looked at Qiao Xi subconsciously...
Look at the question asked by the other person, he is so unconfident... After all, he is Professor Frank. He remembers it so well that he can never forget it...
Thanks to the Chinese Treasure for the reward and encouragement!
(End of this chapter)