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Chapter 156 Paper Publication
At the same time, in a tea room on the second floor of the hotel, Zhang Yuanling and another academician from Shuangdan University, Shen Zhongxing, were receiving several academicians from the School of Mathematics who came from Beijing.

Although the organizer of this event is Linhai Jiaotong University, Shuangdan University is also in Linhai after all, so the professors of Shuangdan University can be regarded as half landlords.

Moreover, Shen Zhongxing graduated from USTC. Both of them are chief professors at Linhai Mathematics Center. They also have a lot of cooperation with HUST on weekdays. So it is natural for them to receive the guests.

After a few pleasantries, Zhang Yuanling asked the same question as Yang Yuancheng.

"By the way, let me ask you something. What happened to Qiao Yu's report at Yanbei University this year? Has his conference paper not been submitted for approval yet? I haven't seen the topic and abstract on the official website yet."

In fact, he had already inquired about it some time ago, but the staff in charge of this matter said that this was not a decision made by the academic committee of this year's conference, but by the standing council of the society.

This is quite confusing.

Not only has this situation never occurred before, even if it did occur, by the time reporting has begun today, the report contents should have been posted on the official website.

Zhang Yuanling's concern about this issue actually has something to do with Qiao Yu. He was the one who reviewed the project Qiao Yu submitted temporarily.

Although his original intention was not to directly reject Qiao Yu's project, he even planned to approve the project after sufficient discussion in the afternoon.

But who could have known that Qiao Yu would withdraw his proposal immediately after hearing his criticism of some shortcomings? To be honest, Zhang Yuanling had never expected this.

If there was no intention to pass it, it should not have been reported in such a high-profile manner at that time.

In short, the whole thing made people feel confused. But Zhang Yuanling didn't take it to heart, after all, everyone was very busy.

Anyone who can become a member of the Academy of Mathematics must have made contributions. For example, Zhang Yuanling's greatest achievement so far is to prove Lustig's conjecture about the basis ring of the bilateral cell for the affine A-type Weyl group.

This proposition, which looks very much like a biological one, is actually a pure mathematical proposition.

For example, the affine type A Weyl group is an extension of the Weyl group, which adds translational symmetry.

The bilateral cavity theory is a theory and conjecture proposed by mathematician George Lustig along with the base ring conjecture.

The former is a tool for studying Hecke algebras and related representations. It divides elements into specific bilateral equivalence classes and is used to reveal the deep structure of algebras.

The latter involves the combined structure of the bilateral cavities and the properties of the corresponding base rings.

This type of conjecture does not appear in the Millennium Problem, nor is it as well-known as the Riemann hypothesis and the twin prime conjecture. People who are not majoring in mathematics probably find it difficult to understand what it means.

Zhang Yuanling's recent research mainly focuses on affine B-type Weyl groups.

Because the B-type Weyl group describes the symmetries of odd-dimensional orthogonal Lie algebras and related algebraic groups, and unlike the A-type, it also includes the composition of reflections and translations, so it reflects a more complex root structure.

This results in the number and relationship of cell cavities in type B being much more complex than in type A, and the arrangement, structure and definition of the base ring are naturally more complex as well.

This also makes the research more difficult and complex. Although there has been some progress, there is still a long way to go to completely solve the base ring problem.

The team led by Zhang Yuanling has also been studying this problem and has made some small breakthroughs recently. Although it has not been completely solved, it is enough to publish some papers in top journals.

Therefore, Zhang Yuanling did not have the energy to delve into Qiao Yu's affairs. There was no other way. Such cutting-edge mathematical issues required in-depth communication with the reviewers.

Especially when it comes to making the paper perfect, a lot of work needs to be done. And this kind of team-solved problem also has some internal issues that need to be dealt with...

It's quite energy-consuming anyway.

But today everyone happened to be gathered together, so Zhang Yuanling just asked a question.

"About this matter...um...didn't the board of directors inform you?" Pan Yuedong asked casually.

Well, actually, he attended the meeting in Qiu Zhai, so he naturally knew what was going on.

But how can I put it… After the meeting, Yuan Zhengxin said, “Please don’t spread this matter.” So no one notified us…

As for what Yuan Lao was thinking, the others knew it in their hearts. It was nothing more than that they were a little unhappy about some things.

But we have to give face to Mr. Yuan after all. After all, Mr. Yuan has founded several mathematics centers and his contribution to the Chinese mathematics community is obvious to all.

And actually, to be honest, Mr. Yuan and Shuangdan have a very good relationship.

For example, the Linhai Institute of Mathematics and Interdisciplinary Studies was unveiled by Professor Yuan himself, and this institute has a close relationship with Shuangdan University.

I can only say that in many matters, there are indeed differences between close and distant relatives.

Zhang Yuanling also sensed something when he heard Pan Yuedong's words. He subconsciously glanced at Professor Shen beside him. After the two looked at each other, Zhang Yuanling smiled and said, "Really not. Maybe he forgot it?"

Pan Yuedong nodded and said, "Oh, it's possible. After all, it's almost the end of the year and everyone is very busy at work. The situation is like this. The paper Qiao Yu reported on is "Proof of the Infinity of Prime Numbers with an Interval of 6".

This paper uses the content of his latest research on the axiom system of generalized modal number theory. But this paper will probably be officially published on the official website of Ann.Math tomorrow.

Taking this into consideration, the Council decided to wait until Ann.Math is officially published tomorrow before posting the summary of the report online, so as to avoid causing unnecessary trouble to the experts attending the conference.

Apparently, among the guests today, only Zhang Yuanling and Shen Zhongxing didn't know about this. Because the others didn't look surprised at all, after all, they were already surprised.

People are never surprised by the same thing twice.

But when Zhang Yuanling heard this, he was more than just surprised. He certainly knew Qiao Yu's generalized modal axiom system, and he was the one who reviewed the original project book.

And he did not neglect it. Although Qiao Yu, who submitted the review report, was only sixteen years old, he reviewed it very carefully.

No one would look down on a sixteen-year-old math student who could solve a problem like the geometric Langlands conjecture, even if he just picked out an error and then gave a solution.

Not to mention that this contribution also allowed Qiao Yu to give a report directly at the World Congress of Algebraic Geometry.

But just as he said at the meeting, Qiao Yu's idea is indeed desirable, and the prospect it depicts is also very exciting.

But there are still many problems to solve in order to complete this proposition. In particular, there is no sufficient mathematical basis, which makes him feel that he is still far from giving an axiomatic definition.

Really, it can be said that Zhang Yuanling did not have too many selfish motives when reviewing Qiao Yu's project proposal. After all, he was prepared to agree if Yuan Zhengxin insisted that this topic was important and worth pursuing.

At most, they felt that Qiao Yu was too young, and Yuan Zhengxin and Tian Yan were too anxious.

At that time, Qiao Yu took the initiative to choose to withdraw, which made Zhang Yuanling look at the child with a higher opinion.

But who would have thought that in just over two months from August to now, this project has already produced results. The relevant paper has not only been published in Ann.Math, but based on this framework, the upper limit of the prime number interval has even been pushed to 6!

This seems very embarrassing.

It was originally just an ordinary annual review of the Natural Science Fund, but with this incident, it seemed as if it was deliberately targeting Qiao Yu and killed an extremely important project!
Well, even if it was clarified that he had no intention of targeting anyone, it at least showed that his vision seemed not to be good enough.

This is the difference between the project review in science and engineering and the evaluation of various projects in humanities and social sciences.

Whether the former can achieve results is a matter of fact. The distinction between success and failure is obvious, and whether there is application value can be directly reflected in the results.

Whether the latter is successful really depends on expert opinion.

There may be a thousand Hamlets in the eyes of readers, but the Riemann hypothesis cannot have a thousand definitions and interpretations.

After being stunned, Zhang Yuanling felt a little embarrassed. Countless questions came to his mind, but he felt it was difficult to ask them at this time.

Fortunately, there was a colleague from Shuangdan University nearby to serve as my mouthpiece.

Of course, Shen Zhongxing didn’t necessarily want to ask a few questions on Zhang Yuanling’s behalf. In fact, he was also very surprised at this moment.

"This... I heard Professor Zhang talk about Qiao Yu's generalized modal axiom system. It can be said to be a very grand idea. But how could such a large project be completed so quickly?"

"Not really. I heard that they only made a basic framework. But there is no need to worry too much about its correctness. Tao Xuanzhi said that he was one of the reviewers, and the other reviewers were... They all gave extremely high evaluations."

Pan Yuedong repeated Qiao Yu's luxurious lineup of reviewers this time.

Although this has nothing to do with Academician Pan, with such a legendary lineup of reviewers, when encountering such an occasion, everyone really can't help but want to read it again.

After all, these names are, in a sense, legends in modern mathematics.

"So Professor Tao has also reviewed his paper on prime number intervals?" Shen Zhongxing asked again.

"Well, not only Professor Tao, but also Professors Zhang Yuantang and Zhang Shuwen, and many professors who study number theory have read it. To be honest, the proof is very rigorous.

Especially the part about the number theory explanation of prime modal spacing, Professor Zhang, you should study it carefully. I think Qiao Yu's framework will also be of great help to your research. "

Pan Yuedong concluded sincerely, he really thought so.

He also read Qiao Yu's paper on the generalized modal axiom system, which was very valuable.

Of course, it is impossible to say that the current framework can solve Weyl group problems, but it is at least an inspiration.

Of course, if it is true as Tian Yanzhen said, that in the future Qiao Yu plans to introduce content such as group theory and graph theory into this general framework, then perhaps it will be possible to achieve the diversification of solutions to Weyl group problems.

"Yes, Professor Pan is right. When the paper is officially released tomorrow, I will definitely download it and take a look at it as soon as possible." Zhang Yuanling replied with mixed feelings.

……

Facts have once again proved that no matter which circle it is, when one or two people know something that is still a little secret, it means that everyone knows it.

Sixteen years old, a new axiomatic framework, a team of mathematical kings in review, and twelve years later, the upper limit of the prime number interval was pushed to a single digit again...

All we can say is that the density of information is extremely high, and every two pieces of information combined together can trigger a huge heated discussion. When all of them are combined together, the heat will naturally double.

The biggest effect was to use the amplifying effect of this conference to make many people accept the fact that China really had a mathematical genius.

After all, Qiao Yu’s previous achievements in the upper bound of the curve were not very sensational. He found loopholes in the proof of the geometric Langlands conjecture and then solved it. A lot of his work was based on the foundation laid by his predecessors.

But the generalized modal axiom system is different not only because it was proposed by Qiao Yu first. He also used his theory to reduce the prime number interval to single digits.

The research that had been stagnant for more than ten years has been reduced so much in an instant, and it has given many people doing related research hope for completely solving a series of prime number conjectures.

This type of people are naturally the most excited and happy. Well, in fact, some people are not so excited. After all, if the topic they have been working on is solved by others in advance, they may feel very complicated...

Of course, some people have a very complicated mentality.

For example, several top professors from Jinzhou University. Chen Zhuoyang didn't care so much, but Dean Zhang was actually among the participants in this meeting.

After all, this kind of top conference in China has never been just a place for academic exchange, it is also a good opportunity to expand one's network.

Although the registration fee, accommodation fee, and round-trip travel expenses must be paid by oneself, the research funds for mathematics projects already include the expenses required for participating in various academic conferences, so they can be paid from public accounts.

After hearing people talking about the news about Qiao Yu, several people were quite shocked.

Of course, I was just shocked. After all, what was circulated were Qiao Yu's papers, and no one mentioned that Chen Zhuoyang was the first author of one of the papers.

The first people to read the papers are experts, and they will roughly understand what is going on after reading two papers once.

Of course, this does not mean that the work done by Chen Zhuoyang is not important. In fact, verification work is one of the most important parts of a paper.

Just dividing it into two papers like this can highlight that this part of the content does not require too much groundbreaking thinking.

Simply put, the formulas have been derived and are there, so you can directly bring them in to verify. Of course, the actual situation is definitely not that simple, but as long as the foundation of higher mathematics is solid enough and the students are careful and serious enough, there are still many people who can do it.

But no one can deny that this is an article published on Ann.Math. There are many unspoken rules in this world. If this article does not count, then too many people are involved.

"This Qiao Yu is incredible! No wonder Mr. Yuan and Academician Tian were able to shake hands and make peace, and even conduct joint training. By the way, Dean Zhang, when you go back, ask Xiao Chen about his relationship with Qiao Yu. If there is a chance, you can invite Qiao Yu to give a lecture."

When we were having dinner together in the evening, Shi Yunchuan, the only academician of the school, said something after learning about the situation.

Obviously this sentence is meant to be a reminder.

The academy is so small that you don't need to ask about many things, they will naturally reach your ears. Not asking does not mean you don't know.

When I mentioned this today, I actually meant to ask him to stop targeting Chen Zhuoyang. It was just because I took into consideration that Zhang Guohong was a senior member of the academy after all, and his job was very important, in charge of scientific research, discipline construction, graduate education and professional construction, so I had to take care of his face, so I didn't say it so clearly.

"Okay, Professor Shi. I'll ask when I get back and try to invite someone this semester."

Zhang Guohong didn't say much and just nodded in agreement.

Although Shi Yunchuan did not hold a specific position in the college, he was the only academician in the college after all. In a sense, he was a banner of Tianjin University.

The boss had said so in public, so he couldn't just ignore his face. Of course, whether or not he could really invite Qiao Yu was actually irrelevant.

I still don't feel very comfortable.

Of course, this is actually normal. Everyone who applies for a project thinks that their own project is the most qualified, and other people’s projects are either empty and have no hope of completion, or they are useless...

So why do you approve others' but not ours?
In short, as long as there are more monks than meat, this contradiction will definitely exist and will inevitably continue.

On the other hand, Tian Yanzhen and Yuan Zhengxin's faces were almost stiff from smiling today.

After all, whenever I talk to someone, I always have to mention Qiao Yu. When Qiao Yu is mentioned, it’s hard not to laugh…

Of course, none of this has anything to do with Qiao Yu.

In fact, he and Qiao Xi went out for a quick meal and didn't even leave the house.

Although he is not Qiao Xi's teacher yet, he still feels very fulfilled when teaching his mother.

……

The next day, the 2025 Annual Academic Conference of the Chinese Mathematical Society finally officially kicked off.

The opening ceremony of the conference was held in the main hotel's grand banquet hall which could accommodate more than 3,000 people.

The opening ceremony started at 8:10, and the banquet hall was already packed with people before 8 o'clock.

Except for the seats with nameplates in front of the podium, the seats in the back are basically random.

People who knew each other started to exchange pleasantries. Of course, some people also started to make friends.

It doesn’t matter if you don’t know each other. Just gather together and as long as you know one of them and chat with him/her, you can get to know a whole circle of people.

Business cards are no longer very popular in China these days. If you have something to chat with, you can just add each other on WeChat, and that way you will have a basis for further communication in the future.

Qiao Yu and Qiao Xi did not join in the fun. They followed Director Tian and Mr. Yuan into the venue five minutes early, and naturally their seats were arranged in the front row.

Qiao Yu was invited because he was one of the special speakers of this conference. Sitting in the front row was the minimum respect from the organizers, and Qiao Xi mainly relied on Mr. Yuan's face.

After entering the venue, Qiao Yu subconsciously looked back a few times, trying to see if there were any acquaintances there, but was definitely disappointed.

There were so many people that even if I knew someone, I wouldn’t be able to recognize them.

There were quite a few people who wanted to say hello to him, but unfortunately the meeting was about to begin.

……

There is not much to say about the opening speech and some of the speeches by leaders. It is worth mentioning that Mr. Yuan was also invited to the stage to say a few words.

Next comes the highlight of today, the awarding of the Hua Luogeng Award and the Chern Prize.

Of course Qiao Yu wasn't too interested...it had nothing to do with him anyway.

In the end, the Hua Luogeng Prize was won by an old professor from Ludong University, and the Chern Prize was shared by two young professors from Yanbei University and Yujiang University.

During the event, Tian Yanzhen was invited to the stage to present awards to the Chern Award winners.

Although it had nothing to do with him, Qiao Yu also felt the atmosphere after winning the award.

There is no doubt that this was the time when the applause was the loudest. No matter what the audience thought, the applause was absolutely sincere.

After the awards ceremony, it was time for a group photo, and from 10 to 12 o'clock there were two 60-minute lectures.

It is worth mentioning that the second report was given by the winner of this year’s Chern Award, which talked about Riemann manifolds.

Things like singularities and regularity of limit spaces that converge under the Gromov-Hausdorff distance.

I am still somewhat interested in this metaphor.

Because the Gromov-Hausdorff distance mainly measures how close two metric spaces are under appropriate embedding conditions, some of these ideas are also helpful to his research.

In particular, when mentioning the Gromov-Hausdorff compactness theorem, the speaker proposed a proof idea that is to construct the limit space using geodesic behavior and metric constraints under curvature control.

This made Qiao Yu wonder whether he could construct a modal limit space in his modal space through similar curvature constraints and metric behaviors.

Similar compactness properties can then be studied in modal number theory or modal geometry.

Because in Riemannian geometry, curvature controls the behavior of geodesics and the overall shape of the manifold; in modal space, similar modal curvatures can be imagined to describe the compactness or convergence properties between modal relations.

Well... this modal limit space can be a new logical geometric object with certain reduction properties.

In short, Qiao Yu still gained something. Although it was just an idea in his mind, maybe it would be useful in the future?
The speaker on the stage controlled the time just right and finished the report at 11:58.

The host did not let time drag on for too long and the meeting ended successfully at about twelve o'clock in the morning.

Next is lunch time.

However, there was some minor commotion when leaving.

Qiao Yu, who always had sharp ears, even heard someone mention his name from behind.

"Director Tian, ​​I seemed to hear someone calling me just now?" Qiao Yu asked, looking at Qiao Xi behind him: "Mom, did you hear that?"

"I'm either calling you or reading your name..." Tian Yanzhen said unhappily, and then explained: "Maybe your paper has been posted on the official website."

After saying that, Tian Yanzhen took out his cell phone and checked it.

Sure enough, at exactly twelve o'clock, Qiao Yu's paper was published in Ann.Math.

Qiao Yu leaned over to take a look and found that it had indeed been published. After all, the title of the paper looked very familiar.

It was in the sixth issue of Volume 2025 in 202. Sure enough, the first paper was his. The second was written by Senior Brother Chen.

This issue has a total of five papers, which were also published together. The paper ranked below Chen's is titled "Microlocal Morse theory of wrapped Fukaya categories"

Qiao Yu felt that if he had not cut in line, this article would probably have been the cover paper.

As for Tian Yanzhen, he obviously did not have such feelings. He just looked at the names of the authors of the first two articles in silence.

Qiao Yu has been at Yanbei University for less than a year. He has published three articles in the four top journals, and there will be a fourth one soon...

By the way, he also left his name on Ann.Math with his senior brother.

Less than a year...

"Qiao Xi, after dinner, please take him back to the room. Keep an eye on him today. Don't let him run around until tomorrow's report is finished."

"Okay, Academician Tian." Qiao Xi responded easily as usual.

"No, Director Tian, ​​do I not have to attend the next meeting?"

"What do you want to attend? Just prepare your report in your room. If you want to hear someone's report, I will invite him to the research center and ask him to give you the lecture."

Tian Yanzhen said domineeringly.

Qiao Yu was speechless, then looked at Yuan Zhengxin. The master smiled but said nothing.

Well, no objection means approval...

There's no way, the arms can never be stronger than the thighs.

……

The Huaxia Mathematics Annual Conference is actually more than just a single conference. It also includes satellite conferences and forums of multiple branches.

In addition to the algebraic geometry conferences that have already been held, there are also conferences such as the Society for Computing, the Frontiers of Computer Mathematics, the Biomathematics Conference, the Mathematics and Communication Forum, etc.

Not only are there these meetings interspersed throughout, but there are also reports in various branch venues.

Simply put, after the lecture at the main venue in the morning, you can run around in the afternoon...

However, Qiao Yu was deprived of this qualification.

After dinner, Qiao Xi had to stay in the room with him to prepare for the report at the main meeting the next day.

To be honest, he couldn't understand why Director Tian wanted to trap him in the room.

Anyway, he didn't think it was necessary.

After all, when it comes to making reports, he can even write without a script...

What I have produced is imprinted in my mind and I can never forget it, not to mention that the PPT has been completed long ago.

Fortunately, Qiao Xi is by my side.

"So why don't we go to the lecture?"

"Maybe they're worried that you'll get too carried away? After all, this is a last-minute decision."

"Well, that only shows that Director Tian still doesn't understand me well enough. I am the most humble person, how could I be so arrogant?"

"Is this the reason why you haven't prepared well? If you have nothing else to do, check your PPT again to make sure there are no problems. Teacher Yuan and Director Tian both attach great importance to your report this time."

"Oh……"

There's nothing you can do. If it were someone else, Qiao Yu would still disobey at will...but not Qiao Xi.

In fact, Director Tian’s judgment of him was quite accurate, for example, he was not rebellious enough.

But it doesn’t matter, it’s just half a day of house arrest.

What annoyed him the most was that when he chatted with Senior Brother Chen on WeChat, this guy only replied with one sentence: "The boss just told me that if you contact me on WeChat, I will ask you to prepare your report for tomorrow. Junior Brother, why don't you listen to the boss first. Your report tomorrow is very important."

Senior Brother Chen also betrayed us, and Qiao Yu was completely helpless.

There was no need to check the PPT. After taking a quick look, Qiao Yu simply focused on continuing his research...

What a waste of time!
……

The next day, it was still the grand banquet hall.

We actually have more time today. There is no opening ceremony or award ceremony. After the first report is over, there is a 20-minute break.

When Qiao Yu sat on the podium, he suddenly realized that there seemed to be more people in the banquet hall today than yesterday...

This... maybe it's an illusion?
(End of this chapter)