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Chapter 156 Paper Published

At the same time, in a tea room on the second floor of the hotel, Zhang Yuanling and Zhongxing, another academician from Shuangdan University, were receiving several academicians from the School of Mathematics from the capital.
Although the organizer this time is Linhai Jiaotong University, Shuangdan University is also in Linhai after all, so the professors at Shuangdan University can be regarded as half landlords.
Moreover, Zhong Xingben graduated from the University of Science and Technology, and both of them are chief professors at the Linhai Mathematics Center. They also have a lot of cooperation with the Chinese Academy of Sciences on weekdays, so they naturally have to receive guests when they come.
After everyone exchanged pleasantries, Zhang Yuanling also asked the same question as Yang Yuanyuan.
"By the way, let me ask something. What's going on with Qiao Yu's report at Yanbei University this year? Has his conference paper not been submitted for approval yet? I haven't seen the thesis and abstract on the official website."
In fact, he had inquired about it some time ago, but the staff member in charge said that this was not a decision made by the Academic Committee of this year's meeting, but by the Society's Standing Council.
This is quite confusing.
Not only has this situation never happened before, but even if it did, by the time registration starts today, the report content should be posted on the official website.
Zhang Yuanling's concern about this issue actually has something to do with Qiao Yu. He had reviewed the projects temporarily submitted by Qiao Yu before.
Although his original intention was not to directly reject Qiao Yu's project. He even made plans to pass the project after full demonstration in the afternoon.
But who would have known that Qiao Yu immediately withdrew when he heard him mention some shortcomings. To be honest, Zhang Yuanling did not expect this operation at all.
If it was not intended to be passed at all, it should not have been reported with great fanfare 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 an academician of the Academy of Mathematics must have made a contribution. For example, Zhang Yuanling's biggest achievement so far is to prove Lustig's conjecture about the base ring of a bilateral cell cavity for the affine A-type Weyl group.
This proposition that looks very much like biology is actually a purely mathematical proposition.
For example, the affine A-type Weyl group is an extension of the Weyl group, adding translational symmetry.
The bilateral cell theory is a theory and conjecture proposed by George Lustig, an exponent of 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 the algebra.
The latter involves the combined structure of the bilateral cell cavity and the characteristics of the corresponding base ring.
This kind of conjecture does not appear in the Millennium Problem, and it is not as well-known as the Riemann Hypothesis and the Twin Prime Conjecture. It is probably difficult for non-mathematics majors to understand what it means.
Zhang Yuanling’s recent research mainly focuses on affine B-type Weyl groups.
Because type B Weyl group describes the symmetry of odd-dimensional orthogonal Lie algebras and related algebraic groups, and is different from type A, it also includes reflection and translation, so it reflects a more complex root system structure.
This results in the number and relationship of the cells of type B being much more complex than that of type A, and the arrangement, structure and definition of the base ring are naturally more complex.
This also makes 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 recently made some small breakthroughs. Although it has not been completely solved, it is enough to publish some papers in top journals.
Therefore, Zhang Yuanling does not have the energy to delve into Qiao Yu's matter. There is no way. Such cutting-edge mathematics issues require some in-depth communication with the reviewers.
Especially when it comes to making the paper flawless, a lot of work needs to be done. And the problems solved by this kind of team also have some internal issues that need to be dealt with...
All in all, it's quite energy-consuming.
But today everyone happened to be gathered together, and Zhang Yuanling happened to ask.
"This matter...that...didn't the board of directors inform you?" Pan Yuedong asked casually.
Well, in fact, he attended the meeting in Qiuzhai, so he naturally knew what was going on.
But what should I say... After the meeting, Yuan Zhengxin said, "Don't spread this matter to anyone yet." So no one informed this side...
As for what Mr. Yuan is thinking, other people actually know it in their hearts. It's just that they are a little unhappy about some things.
But Mr. Yuan’s face must be given 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 speaking, the relationship between Yuan Lao and Shuang Dan is quite good.
For example, Mr. Yuan personally unveiled the Linhai Institute of Mathematics and Interdisciplinary Studies. This institute has a close relationship with Shuangdan University.
I can only say that there are many things, and there is indeed a difference between closeness and distance.
Zhang Yuanling also had some taste after hearing Pan Yuedong's words, and subconsciously glanced at Professor Shen beside him. After the two looked at each other, Zhang Yuanling smiled and said, "Not really, maybe I forgot?
"
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 gave a report on was "Proof of 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 tomorrow.
Taking this situation into consideration, the council decided to wait until it is officially released tomorrow before putting the summary of the report online to avoid causing unnecessary trouble to the experts participating in the meeting."
Apparently, only Zhang Yuanling and Zhong Zhongxing among the people entertained today did not know about this matter. Because the others showed no expression of surprise at all. After all, they had already been surprised.
No one is surprised by the same thing twice.
But when it fell into Zhang Yuanling's ears, he was more than surprised. Of course he knew about Qiao Yu's generalized modal axiom system, and he was the one who reviewed the original project document.
And he didn't neglect it. Although Qiao Yu who submitted the review form was only sixteen years old, he reviewed it very carefully.
No one would underestimate a sixteen-year-old mathematician who can solve problems such as the geometric Langlands conjecture, even if he just picks out an error and then gives a solution.
Not to mention that this contribution also allowed Qiao Yu to give a report directly at the World Congress on Algebraic Geometry.
But just as he said at the meeting, Qiao Yu's idea does have merit. The prospect it depicts is also very exciting.
But if he really wants to complete this proposition, there are still many problems. In particular, there is no sufficient mathematical basis, which makes him feel that he is still far away from giving an axiomatic definition.
Indeed, it can be said that Zhang Yuanling did not have too much selfish motives when reviewing Qiao Yu's project proposal. After all, he was also prepared to agree to it if Yuan Zhengxin insisted that the subject was important and promising.
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 withdraw and asked Zhang Yuanling to take a high look at the child.
But who would have thought that in just over two months from August to now, this project has already produced results. Not only has the relevant paper been published, but based on this framework, the upper limit of the interval between prime numbers has even been pushed to 6!
This seems very embarrassing.
It was originally just an annual review of the Natural Science Fund, but when it happened, it seemed that it was deliberately targeting Qiao Yu and killing an extremely important project!
Well, even if it clarifies that he has no deliberate intention, it at least shows that his vision is not good enough.
This is the difference between project evaluation in science and engineering disciplines and various project evaluations in humanities and social disciplines.
Whether the former can achieve results is a matter of conclusion. The separation between success and failure is obvious, and whether it has any application value can be directly reflected in the results.
Whether the latter is successful or not really depends on expert opinions.
Readers can have a thousand Hamlets in their eyes, but there can never be a thousand definitions and interpretations of the Riemann Hypothesis.
After being stunned, Zhang Yuanling felt a little embarrassed. Countless questions came to his mind, but at this time he actually felt it was not easy to ask them.
Fortunately, there was a colleague from Shuangdan University nearby who acted as a substitute.
Of course, Zhongxing didn't necessarily want to ask a few questions for Zhang Yuanling. In fact, he was also surprised at this time.
"This... I heard Professor Zhang say that Qiao Yu's generalized modal axiom system can be said to be a very grand idea, but such a large project was completed so quickly?"
"No, I heard that they only made a basic framework. But don't worry too much about its accuracy. According to Tao Xuanzhi, he is one of the reviewers, and several other reviewers are... , they all gave very high evaluations.”
Pan Yuedong repeated Qiao Yu's luxurious reviewer lineup this time.
Although this actually has nothing to do with Academician Pan, with such a legendary reviewer lineup, when encountering such an occasion, everyone can't help but want to read it again.
After all, these names are, in a sense, legends in the world of modern mathematics.
"So, Professor Tao also reviewed his paper on prime number intervals?" 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 process is very rigorous.
Especially the number theory explanation of the modal spacing of prime numbers, Professor Zhang, you should study it carefully when the time comes. I think Qiao Yu's framework will also be of great help to your research."
Pan Yuedong summed it up sincerely, and 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 definitely impossible to say that the current framework can solve the Weyl group problem, but it is an inspiration to some extent.
Of course, if, as Tian Yanzhen said, Qiao Yu plans to introduce group theory and graph theory into this broad framework in the future, then maybe he can really diversify the methods of solving Weyl group problems.
"Well, what Professor Pan said is that 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 a complicated mood.

Facts have proven once again that no matter which circle you are in, when one or two people know about something that is considered a small secret, it means that everyone knows about it.
Sixteen years old, a new axiom framework, a king-level reviewer group in mathematics, and twelve years later, pushing the upper bound of the prime number interval to single digits again...
It can only be said that the density of information is extremely high, and every two pieces of information combined can arouse great heated discussion. When all combined together, the popularity will naturally double.
The biggest effect is to use the amplification effect of this conference to make many people accept the fact that China has really produced a mathematical genius.
After all, Qiao Yu's previous results, the upper bound of the curve, were not very sensational. He found the loopholes in the proof of the geometric Langlands conjecture and then solved them. A lot of the work was still based on the predecessors.
But the generalized modal axiom system is different, not just because it was first proposed by Qiao Yu, but he also used his own 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, and many people doing related research have seen the dawn of completely solving a series of prime number conjectures.
This type of people are naturally the most excited and happy. Well, there are actually some people who are not so excited. After all, if the issues they have been struggling with are solved by others in advance, their mood may be very complicated...
Of course, some people have very complicated mentality.
For example, there were several big-name professors from Jinzhou University. Chen Zhuoyang didn't care that much, but Dean Zhang was actually among the people attending the meeting.
After all, this top-level conference in China has never only been a function of academic exchanges, but also a good occasion to expand contacts.
Although you have to pay for the registration fee, accommodation fee, and round-trip travel expenses by yourself. However, the research funds for mathematics projects already include the expenses required to participate in various academic conferences, and they can be completely transferred to the public account.
After hearing the news about Qiao Yu, several people were quite shocked.
Of course, it was just a shock. After all, the papers that were circulated were all Qiao Yu's papers. One of the papers was written by Chen Zhuoyang, and no one specifically mentioned it.
The first people to read the papers are experts. After reading the two papers, you will probably understand what is going on.
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.
If it is completely divided into two papers in this way, it can be highlighted that this part of the content does not require too much groundbreaking thinking.
To put it simply, the formulas have been introduced and put there, and can be directly brought in for verification. Of course, the actual situation is definitely not that simple, but as long as the foundation of advanced mathematics is solid enough and careful enough, there are still many people who can do it.
But no one can deny that this is an article posted on the Internet. There are many hidden rules in this world. If this article does not count, it will involve too many people.
"This Qiao Yu is incredible! No wonder Mr. Yuan and Academician Tian can shake hands and make peace, and even engage in joint training. By the way, Dean Zhang, go back and ask how the relationship between Xiao Chen and Qiao Yu is. If you have the opportunity, you can invite me
Qiao Yu is here to give a lecture."
When we were sitting together for dinner in the evening, Shi Yunchuan, the only academician of the school, learned about the situation and said something.
Obviously this sentence means something.
The college is so big, many things will come to your ears naturally without asking. Just because you don’t ask, doesn’t mean you don’t know.
I mentioned this today, but the implication was to stop him from targeting Chen Zhuoyang.
It was simply because Zhang Guohong was an old man in the college and his job was very important. He was in charge of scientific research, discipline construction, postgraduate education and professional construction, so he had to take care of his face, so he didn't make it clear.
"Okay, Professor Shi. I will ask after I get back and try to invite someone here this semester."
Zhang Guohong didn't say much and nodded in agreement.
Although Shi Yunchuan does not hold a specific position in the college, he is the only academician in the college. In a sense, he is a flag of Tianjin University.
Big bosses have said this in public, and he has to give face. Of course, it doesn't matter whether he can really invite Qiao Yu.
I still feel uncomfortable.
Of course, this is actually normal. Everyone who applies for a project feels that their own project is the most qualified. Other people’s projects are either fake, have no hope of completion, or are of no use...
So why should we approve other people’s work but not ours?
In short, as long as there are more monks and less meat, this contradiction will definitely exist and will continue.
On the other side, Tian Yanzhen and Yuan Zhengxin were laughing so hard today that their faces almost froze.
After all, whenever I chat with you, I always mention Qiao Yu. When I mention Qiao Yu, 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 casual meal and didn't even leave the house.
Although he is not Qiao Xi's teacher yet, teaching to his mother is still very fulfilling.

The next day, the 2025 Academic Annual Meeting of the Chinese Mathematical Society finally officially kicked off.
The opening ceremony of the conference was held in the grand banquet hall of the main hotel that can accommodate more than 3,000 people.
The opening ceremony started at 8:10, and before 8:00 the banquet hall was already packed with people.
Except for the place in front of the rostrum where the nameplate is arranged, basically everyone can sit casually in the back.
People who were acquainted started to chat with each other. Of course, some people started to make friends.
It doesn’t matter if you don’t know each other, everyone gathers together, and as long as you know one of them and chat for a few words, you can get to know a circle of people.
Business cards are no longer very popular in China these days. If you want to chat, just add WeChat, and you will have a basis for continued communication in the future.
Neither Qiao Yu nor Qiao Xi joined in the fun. They followed Director Tian and Mr. Yuan and entered the venue five minutes early, so their seats were naturally arranged in the front row.
Qiao Yu is because he is one of the special speakers of this conference. Sitting in the front row is the most basic respect from the organizer. As for Qiao Xi, it is mainly because of Mr. Yuan's face.
After entering the venue, Qiao Yu subconsciously glanced behind him to see if there was anyone he knew. He was definitely disappointed.
There are so many people that even some acquaintances cannot be recognized.
There were quite a few people who wanted to say hello to him, but unfortunately the meeting was about to start.

The opening speech and some of the leaders' speeches were not much to say. It is worth mentioning that Mr. Yuan was also invited to the stage to speak a few words.
Next is the highlight of the day, the presentation of the Hua Luogeng Award and the Chen Shengshen Award.
Of course, Qiao Yu wasn't too interested...he didn't have anything to do anyway.
In the end, the Hua Luogeng Prize was won by an old professor from Ludong University, and the Chen Shengshen Prize was divided between two young professors from Yanbei University and Yujiang University.
During this period, Tian Yanzhen was also invited to the stage to present awards to the winners of the Chen Shengshen Award.
Although it had nothing to do with him, Qiao Yu also felt the atmosphere after winning the award.
There is no doubt that this is the time when the applause is the loudest. No matter what the people in the audience think, the applause is definitely sincere.
After the award presentation, it was time for group photos, and there were two 60-minute report sessions from 10 to 12 o'clock.
It is worth mentioning that the second report is the report of the winner of this year's Chen Shengshen Award, and it talks about Riemannian manifolds.
Things like singularities and regularities in limit spaces that converge under Gromov-Hausdorff distance.
I am still somewhat interested in this piece of Qiao Yu.
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.
Especially when it comes to the Gromov-Hausdorff compactness theorem, the speaker's proof idea is to use geodesic behavior under curvature control and metric constraints to construct a limit space.
This made Qiao Yu think about whether a modal limit space could be constructed through similar curvature constraints and metric behaviors in his modal space.
This leads to the study of similar compactness properties 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 curvature can be imagined to describe the tightness or convergence between modal relationships. nature.
Well...this modal limit space can be a new logical geometric object with certain reduction properties.
In short, there is still something gained for Qiao Yu. Although it is just an idea in his mind, maybe it will be really useful in the future?
The reporter on the stage controlled the time just right and completed the report at 11:58.
The host did not let time delay for long, and the morning meeting ended successfully at almost twelve o'clock.
Next it's lunch time.
However, there was some minor commotion when leaving the venue.
Qiao Yu, who has always had keen ears, even heard someone mention his name later.
"Director Tian, ​​I thought I heard 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 angrily, and then explained: "It's probably because your paper has been posted on the official website."
After saying that, Tian Yanzhen took out his mobile phone and checked it.
Sure enough, at twelve o'clock, Qiao Yu's paper was published online.
Qiao Yu went over and took a look, and sure enough, it was posted. After all, the title of the paper looked very familiar.
It's in the content of the sixth issue of Volume 202, 2025. Sure enough, the first paper is his, and the second is a work by Senior Brother Chen.
There are a total of five papers in this issue, which were also released together. The title of the paper ranked below Senior Brother Chen is "Microlocal Morse theory of wrapped Fukaya categories"
Qiao Yu felt that if he had not jumped in line, this would probably have been the cover paper.
As for Tian Yanzhen, it was obvious that he did not have these emotions. He just looked at the names of the authors of the first two articles and remained silent.
It has been less than a year since Qiao Yu came to Yanbei University to earn a full scholarship. He has already published three articles in the four top journals, and there will be a fourth one soon...
By the way, he also took his senior brother to leave a name on it.
Less than a year...
"Qiao Xi, please take him back to the room after dinner. Keep an eye on him today. Don't let him run around until tomorrow's report is completed."
"Okay, Academician Tian." Qiao Xi responded easily as usual.
"No, Director Tian, ​​am I not going to attend the next meeting?"
"What do you want to participate in? Just prepare your report in the room. If you want to hear whose report, I will help you invite him to the research center later and let him give you a report."
Tian Yanzhen said domineeringly.
Qiao Yu was speechless, and then looked at Yuan Zhengxin. Grandpa Shi smiled but said nothing.
Well, if I don’t object, I agree…
There is no way, my arms can't hold my thighs after all.

The Chinese Mathematics Annual Conference is actually more than just one conference. It also includes satellite conferences and forums of multiple branches.
In addition to the algebraic geometry conferences that have been held, there are also conferences such as those of the Computing Society, the Frontiers of Computer Mathematics Conference, the Biomathematics Conference, the Mathematics and Communication Forum, etc...
Not only are these meetings interspersed, but there are also report sessions at various branch venues.
To put it simply, after the report meeting at the main venue in the morning, you can run around in the afternoon...
However, Qiao Yu was deprived of this qualification.
After eating, Qiao Xi could only stay in the room to prepare for the main meeting report the next day.
To be honest, he didn't understand why Director Tian trapped him in the room.
Anyway, he didn't think it was necessary.
After all, when it comes to making reports, he can even go without writing...
Everything I made is imprinted in my mind and I can’t forget it at all, not to mention that the PPT has already been prepared.
Fortunately, I still have Qiao Xi by my side.
"So why don't we go to the lecture?"
"Maybe I'm afraid that you're too arrogant? After all, it was a temporary decision."
"Hey, that just shows that Director Tian still doesn't understand me very well. I'm the most humble person, how could I be so arrogant?"
"Is this why you haven't prepared honestly yet? Just check the PPT again if you have nothing to do. Don't make any mistakes. Teacher Yuan and Director Tian both value your report this time."
"oh……"
There is no other way. If it were someone else, Qiao Yu could still be disobedient...but Qiao Xi, forget it.
In fact, Director Tian was quite right about him, for example, he was not rebellious enough.
But it doesn’t matter, it’s just a half-day confinement.
What made him most frustrated was that when chatting with Senior Brother Chen on WeChat, this guy only replied: "The boss just told me that if you come to me on WeChat, he will ask you to quickly prepare tomorrow's report. Junior Brother , Otherwise, you should listen to your boss first. Your report tomorrow is very important."
Senior Brother Chen also rebelled, and Qiao Yu was completely helpless.
There is no need to check the PPT. After casually looking at it, Qiao Yu simply focused on continuing his research...
What a waste of time!

The next day, it was still the grand banquet hall.
There is actually more time today. There is no opening ceremony or award ceremony. After the first report is over, there is still a twenty-minute break.
And when Qiao Yu sat on the podium, he suddenly found that there seemed to be more people in the banquet hall today than yesterday...
This... is probably an illusion, right?
Chapter completed!
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