On the plane, when the flight aunt asked to turn off the phone, Qiao Yu took out the silent phone, ignored the missed call and hung up the phone.
Yes, in fact, after the May Day trip, Qiao Yu returned to school and took out the memories that he had carefully hidden before to think about it. Then he found that it was very effective. In the next period of time, he mainly relied on this technology to organize the entire memory. The white noise system is removed.
Especially when he discovered that this idea was feasible, all his energy was spent on it during this period. It did involve some very interesting tools.
That is to say, both Tian Yanzhen and Mr. Yuan's trust in him has reached its peak, otherwise he would not be able to hide it from the two of them. But now as long as he achieves results, it seems that there is no need to hide it.
..
Tian Yanzhen silently watched Qiao Yu sitting in his seat, kept looking out through the upper window of the cabin, and asked: "First time flying on a plane?" Qiao Yu looked back at Tian Yanzhen and nodded. Said: "Yes, Director Tian."
Tian Yanzhen smiled and said, "Then you really made a profit. The first time you took a plane was in business class on an international flight."
Yes, in order for Qiao Yu to be refreshed during this trip, Tian Yanzhen booked a ticket for the second-floor business class of a wide-body aircraft like A380. So he chose to travel today and wanted to take Qiao Yu to Paris as early as possible. , choosing an airplane is also one aspect.
It would be really painful to take a narrow-body passenger plane for a long-distance trip of more than ten hours.
Although it was early in the morning, the plane had just started gliding, and the cabin was still a little noisy, so it was a good time to chat. "Who did you call when you were depositing your luggage?"
"Professor Pan from Huaqing."
"Oh." Tian Yanzhen nodded, without going into details, but instead asked: "How did you come up with the idea of ​​inviting Mr. Yuan to attend Chen Zhuoyang's graduation defense?"
Qiao Yu blinked and replied: "Director Tian, ​​it was Senior Brother Chen who forced me to invite... It's really hard to explain this matter. I just invited him casually, but who knew that Senior Master would really agree." ...
Well, Qiao Yu swore that he really didn't care about his senior's salary and bonus that year. He just wanted to know how much an ordinary professor at a double first-class university could earn in a year. This damn thirst for knowledge! But how? Say...
Anyway, on the day of the defense, Senior Brother Chen was obviously much older, but he smiled like a child. Grandpa Senior was not impatient and was always cheerful. Director Tian was also high-spirited that day, and the other invited professors were in different moods. good.
If only one person is happy about something and no one is unhappy, it is 100% a good thing.
If only a few people are unhappy about something he leads and the vast majority of people are happy, it is enough to show that it is a good thing. In short, Qiao Yu feels that he has been busy doing all kinds of good things during this time. Never stopped.
"Don't make random requests to Mr. Yuan from now on. Mr. Yuan is already very old and can't stand your troubles!" Tian Yanzhen said with a straight face, but after saying that, he couldn't stand it anymore. Mr. Yuan is now Maybe you're afraid that Qiao Yu won't make the request? Oh...that's unreasonable.
"Don't worry, Director Tian, ​​I know what's going on. It's not our sect's business, and I will definitely not trouble Grandpa Shi." Qiao Yu said decisively. Well, the sect comes first... There's really no way to criticize this.
Tian Yanzhen could only nod his head. Fortunately, the plane also started to take off. In the middle of the night, after the plane stabilized, the cabin became quiet. "Let's get some sleep. We'll be almost there when we get there."
"Okay, good Director Tian."
Young people sleep soundly wherever they go. Anyway, Qiao Yu slept well. Fortunately, not only was the plane not delayed, but it also landed at Charles de Gaulle Airport half an hour early. The local time was 7:30 in the morning. We got off.
Qiao Yu took a photo of the plane landing and sent it to Qiao Xi: "Mom, it landed smoothly, I'm in Paris."
Of course, Tian Yanzhen is still very popular in Paris. Before Qiao Yu came, he prepared a phone card for him that can roam around the world. Excellent tutors are like this, they can always help students think of everything.
Soon, Qiao Xi replied: "Listen to the teacher and pay attention to safety."
"Don't worry, Director Tian will be by my side." After a brief chat, we started to go through the customs procedures again.
Fortunately, after knowing that the team was here to participate in an international mathematics conference, the group was quickly released, and then took a taxi directly to the hotel designated by the organizing committee of the conference - the Royal Monet Hotel in Paris. It is a short distance from the French Institute of Advanced Sciences.
It's not far, only 3 to 4 kilometers, and it only takes half an hour to walk.
However, even if they are special guests, because they arrive a little early, they can only book a hotel for two nights by themselves, and then the conference organizing committee will make unified arrangements.
In addition to the invitees, there will also be some mathematicians and mathematics students who choose to attend this kind of world-class mathematician conference at their own expense. Therefore, nearby hotels are very tight. The professors from Yanbei University here rely on the organizing committee to successfully check in.
Rooms that will coordinate.
However, this time it is hard to say that it is all Tian Yanzhen’s fault, and it is also related to the fact that many mathematicians are very interested in Qiao Yu. Every time a genius appears in the mathematics world, he always attracts everyone’s attention quickly.
But Tian Yan really didn't expect it to happen so quickly. As soon as they entered the hotel, they heard someone saying hello to him.
"Hi, Professor Tian, ​​you are finally here...well...let me guess, you must be Qiao Yu, right?"
When Tian Yanzhen followed the voice and looked over, Dennis had just stood up from the sofa on the right side of the hotel lobby for guests to rest. In one sentence, he had already walked to the opposite side of him, and his eyes were staring at Qiao Yu beside him. Dennis was
Such an attitude made Tian Yanzhen nervous, especially since this guy's hair was a little messy and his eyes were a little red, and he looked very scary...
So Tian Yanzhen took the initiative to step forward and said, "Well, Qiao Yu, let me introduce to you. This is Professor Dennis, who is also..."
"Director Tian, ​​I know that Professor Pan often talks to me about Professor Dennis, saying that the luckiest thing for him is to meet a mentor like Professor Dennis." After saying that, Qiao Yu said hello to Dennis generously:
"Hello, Professor Dennis."
"Hello, um, you know, Professor Tian, ​​I just arrived at the hotel. Damn it, there are only economy class tickets left. Hey, anyway, you should understand that I need to talk to Qiao Yu now." Dennis
Said somewhat incoherently.
This made the professors at Yanbei University who followed Tian Yanzhen feel very strange.
Even if I have never met Dennis, mathematics professors from such well-known universities are very stable most of the time. Obviously, Dennis at this time is different from the famous Harvard professor in terms of image and attitude.
Match. "So what is the issue you need to discuss with Qiao Yu?" Tian Yanzhen couldn't help but ask.
If it's about the theory of conjugate ridged singular points, there's really no need to come to Qiao Yu to discuss it. The paper is about to be released. Tian Yan really doesn't believe that Dennis hasn't discussed it in depth with Pan Jingyuan. "Don't you know? Qiao Yu.
Yu said that the problem he raised has been solved!" Dennis looked at Tian Yanzhen in surprise and said.
Does the tutor not know the results of his students at all?
"No, no, it should be said that I just have an idea for the time being, and it has not been completely solved yet. In fact, I also hope to solve the problem in these two days. So I haven't mentioned it to my instructor yet. I told him before getting on the plane
Professor Pan said the same thing, it’s just an idea..."
Qiao Yu quickly emphasized from the side.
The professors from Yanbei probably understand why Dennis looks like this today.
I really didn't care about anything else, so I kept guarding the door of the hotel after arriving in Paris.
But then again, if it were them, and the proposition that had been studied for more than ten years had such twists and turns, it would probably be the same. After all, it involved so many years of hard work.
"That's it, then you and Professor Dennis can chat first, and we'll check in first. But you're here? Why not go directly to the room." "No, there is a special conference room upstairs. I just asked
It’s ready to use.”
Tian Yanzhen glanced at Qiao Yu, who nodded and said generously: "No problem, Director Tian. Anyway, I slept well on the plane. I just want to talk to Professor Dennis about my thoughts first." Tian Yanzhen glanced at Qiao Yu.
Yan Zhen nodded. On one side was the energetic young man, and on the other side was the bad old man with red eyes. Obviously, the person facing him would not be able to survive Qiao Yu...
"Okay, let me collect the room card for you first. After talking to Professor Dennis, call me. By the way, we also have several professors here who are interested in the proof of the Langlands conjecture in geometry. You can go and listen together.
?Professor Dennis?"
Dennis glanced at Tian Yanzhen, and it took him a while to realize: "Of course, but we're going up now." "It doesn't matter." After saying that, Tian Yanzhen looked at the other professors behind him.
After a few brief explanations, two professors from Yanbei University quickly walked out and stood together with Qiao Yu, saying hello to Dennis.
One, Professor Tan Zhiqing from the Mathematics Research Center, has been doing research on the P-Langlands program over the years, and the other is Professor Su Changhe from Yanbei Institute of Mathematics, who mainly does research on L invariant theory. In fact, it is true
Speaking of which, both of them knew Dennis.
Our research directions are similar, and we occasionally meet at some academic conferences, and we even have the experience of discussing via email. It’s just that the number of meetings may not be that many, and the impression may not be that deep.
"Then let's go." Dennis looked at Qiao Yu and said. "Oh, okay."
"Qiao Yu, can you briefly introduce your thoughts first?"
As the four of them walked towards the elevator, Dennis couldn't help but ask.
"Didn't Professor Pan tell you?"
"I talked a little bit, but he said your explanation was very rough. I only roughly understood your idea, but it wasn't very detailed."
"Actually, my idea is quite simple. Since the problem lies in singular points, why not bypass this problem? So it is better to introduce a new paradigm and construct a fine reconstruction tool of local-global interaction to re-examine the geometry. Langlands conjecture."
The two professors Tan Zhiqing and Su Changhe who were following Qiao Yu looked at each other.
When Qiao Yu found the loophole in the conjugate ridge singularity, the two of them actually discussed in private how to fix the loophole. This was indeed one of the methods, but obviously this method was not as simple as Qiao Yu said. .
But before they could speak, Dennis said: "Actually, I have had this idea before. Pan and I have constructed a fractional homology deformation method to deal with the problem of singular points.
Define a new homology layer near a singular point, such as Fxα, α represents fractional order. In this way, their growth rate can be controlled by fractional order values ​​to reflect the complex geometric structure at the singular point. But then this method Failed. Because this method mainly relies on approximation, complex singular points cannot provide sufficient proof of convergence through this approximation. This problem has troubled us for a long time.
It wasn't until Sam and Frank used their method to connect the feature layer with the white noise that they got the final answer. Are you sure that the method you provided can effectively avoid this situation?" "Oh... Third floor, thank you. "
At this time, the four of them had already gotten on the elevator. Dennis told the waiter in the hotel elevator what floor he was in, and then turned to look at Qiao Yu.
"Well, my method is different from your previous method. But your idea is definitely not feasible. The fractional homology layer is not a true integer-order homology. There will definitely be errors in the details, and the more complex the singular points, the greater the error. will be larger. In the end, it will still lead to local-global mismatch.
My idea is more direct, to directly identify and filter out the white noise components introduced by the feature layer, so that the structure of the local system maintains a very clean reflection globally. And this method is not complicated, the main thing is to introduce a denoising Fuzzy operator, it’s too troublesome to talk about. I’ll show you an example later and you should understand.”
Dennis nodded.
The collision of mathematical ideas is indeed sometimes difficult to explain clearly with words. Fortunately, the conference room is right in front of us.
"Lemma 1: Local reconstruction of conjugate ridge-like complex singular points."
"Let X be an algebraic variety, x∈X represents a conjugate ridge singular point."
"At the conjugate ridge singular point x, a local reconstruction object Fx, LGIR and a lossy power ladder operator DLGIRD can be constructed to deal with the non-convergence of the traditional local system at the singular point. The definition is as follows:" "
Under the LGIR framework, define a destructive curtain ladder operator DLGIRD. The result of acting on Fx and LGIR is: "
In the conference room, Qiao Yu wrote down some of his recent research results on the manuscript paper provided by the hotel, and then handed it to Dennis.
This is not all Qiao Yu's thoughts. Lao Xue has taught him that the academic circle is not as pure as outsiders seem, and he must be on guard at all times. So he decided to announce the remaining key solution process only at the conference. But Qiao Yu
Yu believes that mathematicians who have studied this proposition for more than ten years can see the value of his idea.
After all, the limit structure he designed can ensure that the local reconstruction object is still well defined under the high-order homology group. Traditional methods may cause divergence due to high-order perturbations, but through this limit structure, it ensures that the local reconstruction object has
Stable local behavior.
This is the best solution to this problem at present, Qiao Yu even thinks there is no such solution.
In fact, Dennis was not the only one. Two professors from Yanbei also looked at the limit structure constructed by Qiao Yu and the new operators introduced, and fell into thinking. After reading the process written by Qiao Yu, Tan Zhiqing subconsciously looked up.
He glanced at Qiao Yu and said, "Filtering?"
Qiao Yu thought for a while, then nodded and said, "Well, it's a bit like it."
Professor Su from the School of Mathematics also spoke up: "It is indeed a good idea, using alternating symbols and hierarchical weighting to gradually filter out the self-noise at each level."
Dennis frowned, stared at the formula, and nodded after a while: "Well, the hierarchical processing method can indeed ensure that noise can be effectively eliminated at different levels of coherence without destroying the autonomy of the overall structure." After speaking,
, Dennis raised his head and asked, "What then?"
Qiao Yu spread his hands helplessly and said: "The next step is to make global consistency corrections. But I haven't figured out how to deal with this yet. Although I have a little idea, it still takes time to perfect. After all, we have to
Let local system characteristics be embedded into the global system smoothly enough.
This even involves the technical analysis of the mapping homomorphic space when the local system is mapped to the global system. So I still need time to think, maybe a day or two, maybe a month or two.
Sigh... Professor Dennis, to tell you the truth, I rely heavily on sudden inspiration for this kind of research, and I may need to read some literature during this period, so I really can't guarantee when I will be able to completely solve this problem.
I made that call to Professor Pan simply because I promised him before that as soon as I think of a solution, I will notify him as soon as possible. Well, I think I have already thought of this solution. Of course, there are still some key points next.
There are many steps, but please believe that I can definitely help you and Professor Pan solve this problem completely."
Dennis could see sincerity on Qiao Yu's face.
Well, there is indeed no way around this. In fact, Qiao Yu's being able to come up with this idea has already helped him a lot, and it has indeed provided an excellent way to solve the problem. But this has made the problem complicated again.
.
Dennis glanced at the two professors at Yanbei, then looked at Qiao Yu and asked: "Qiao Yu, are you willing to join our team and share this idea with us? You should know who is on our team, right?
For example, the main collaborators include Professor Sam, Professor Frank, Professor Pan, and..."
Qiao Yu directly interrupted Dennis and said: "Professor Dennis, of course I know the members of the team. After all, I have read all your papers. And I am also very willing to join your research team, but I hope to be able to participate in this meeting."
We will discuss this issue later.
You know, this is my first time to participate in this kind of world-class mathematician conference. Professor Tian asked me to prepare the content of the report for this conference in advance. After all, this is really important to me. "Qiao
What Yu said was very sincere and very appropriate.
Putting it another way, if he were a student of Dennis who was invited to attend such a meeting at the age of sixteen and could still give a thirty-minute report, he would probably put the conference first.
So Dennis nodded and said, "Of course, you are right. Professor Pan will be here in two days, so we can discuss this matter after your report meeting. What do you think?" "Of course,"
It's a great honor for me to be with you, Professor Dennis."
Qiao Yu answered politely, and then said with concern: "And I don't think it's suitable for you to continue thinking about academic issues now. You should go to rest first to take advantage of the jet lag. To be honest, I don't think you are in a very good condition right now."
"Well, yes, I haven't slept for nearly twenty hours. Damn low-cost airlines. You can't even imagine what kind of guy would be sitting next to you. Not only can he fall asleep sitting down, but he can also sleep after falling asleep.
I can grind my teeth! These eight hours were like a thriller movie!"
Dennis complained.
Obviously, today's trip was not a pleasant one for the Harvard professor. But Qiao Yu couldn't relate to it at all.
After all, he slept through it. It was a bit cold at night, and someone covered him with two blankets.
..
"Then believe me, the most important thing you should do now is to rest, Professor Dennis." Qiao Yu said politely.
After saying goodbye to Professor Dennis who was in poor condition, and briefly chatting with the two professors, Qiao Yu called Tian Yanzhen, and then went to Director Tian's room. It was equivalent to returning to his own room, because
His room is next door to Director Tian's.
Although the plane is in business class, the accommodation is an ordinary single room. But then again, even the price of such an ordinary single room is not cheap. After all, they charge Euros.
Of course, Qiao Yu didn't pay much attention to the accommodation environment. In fact, Qiao Yu felt that the small single room in the Mathematics Research Center, which Mr. Yuan had picked out a lot of problems with, was quite comfortable.
"Sent Professor Dennis away?"
When he came to get the room card, Qiao Yu was teased by Tian Yanzhen.
Qiao Yu nodded honestly and replied: "Well, I told him my general idea, but the professor seemed to be in a bad state, so I advised him to go to bed first. By the way, he invited me to join the project. group, but I think this matter should wait until after my report meeting.
After all, you also said that there will be reporters from China attending this meeting, and my report may even make the news. So I don’t have time to discuss this now."
Tian Yanzhen looked at Qiao Yu and said, "You only talked about a general idea? The timing is very coincidental. If you can have a complete idea, you can contact the organizing committee. The thirty-minute report meeting may become four Fifteen minutes. Of course, maybe you need to get a heavyweight mathematician to approve your idea. Dennis is indeed not suitable.
Qiao Yu blinked, and immediately put on a childish smile on his face: "Hey, Director Tian, ​​you have seen through it again. I feel quite embarrassed to join Dennis' team at this time. Didn't you say that Professor Schultz would be there tomorrow?" Are you coming? I plan to discuss my thoughts with Professor Schultz first.
If he also suggested that I announce this idea directly at the report meeting, he would naturally help me contact the organizing committee by then, right?
Tian Yanzhen stared at Qiao Yu and asked, "Do you really have a complete idea?"
Qiao Yu stopped smiling, nodded, and said seriously: "It's true, and I think it's definitely no problem. It's quite offending. As you know, the loopholes I found before mainly came from Professor Sam and Professor Frank. Proof process.
They completed the local-to-global mapping by proving that each feature layer can be related to white noise in some way. And completed the proof of the geometric Langlands conjecture. The conjugate ridge singularity I found , leading to potential local-global mismatch.
My current solution directly bypasses their method. Through a new paradigm, the local-global interaction is reconstructed. So I dare not tell the truth to Professor Dennis."
Qiao Yu said honestly.
Tian Yan was really startled, and then he realized that this was indeed a very offensive thing, and he could even offend people to the point of death...
But the next moment he smiled.
"You're right. You should be careful. Especially when your results have not been announced to the public. But you don't have to take it too seriously. Anyway, you have nothing to do with those two professors. Do whatever you want. That’s it.
Although I don’t know much about the geometric Langlands conjecture, there is still no problem in protecting your results. In this way, I will say hello to the organizing committee tomorrow and you will explain your proof process later. Send it to me by email. I will find someone to check it for you first. Well, by the way, just follow your usual habit and send a copy to Mr. Yuan.
After finishing speaking, Tian Yanzhen paused, and then said domineeringly: "As for offending people, that is inevitable. There are too many academic projects that collide with each other. Whoever solves the problem first will have the results of the published paper. It cannot be avoided. If they said they did the research first, then the results must be theirs. Everyone depends on their ability. Your results are there, and with me and your senior master here, you can rest assured that no one can take away your results."
Qiao Yu nodded repeatedly and said, "That's okay, but can I post it later? For example, wait until the afternoon? You know, I just told Professor Dennis that I haven't figured out the complete proof process yet. Suddenly I posted the complete proof process again. I felt quite embarrassed when I took it out."
"What's so embarrassing about this? Why can you just say that he knows what he knows... Hey, forget it. Let's just have this afternoon..." In the end, Tian Yanzhen followed Qiao Yu's wishes.
They don't care what Sam and Frank think, but Pan Jingyuan has provided a lot of help to Qiao Yu on this issue, and Dennis is Pan Jingyuan's mentor. This should really be paid attention to. It's just that the way Tian Yanzhen looks at Qiao Yu is different. .
At only sixteen years old, he takes care of all aspects, which is quite thoughtful.
"Well, then in the afternoon I also sent an email to Professor Pan and Dennis, saying that I had been inspired to figure out the complete process. Then I said that I didn't sleep after getting off the plane and kept thinking about math problems. I went to bed when I was too tired.
Professor Pan was still in China, and Professor Dennis must not have gotten up at that time. By the time they saw the email, I was also asleep. We can just wait until Professor Schultz comes tomorrow to discuss it together. What do you think? There’s not much going on today anyway, and you don’t let me go out for a walk by myself.”
Qiao Yu completed the whole process with great interest.
Tian Yanzhen shook his head and said, "Actually, you don't need to be so careful."
Qiao Yu denied: "I'm not being cautious. In fact, I just want Professor Dennis and Professor Pan to stay in a happy mood. After all, they are very nice people. This is a good thing. Their paper only needs fine-tuning. It can be published together with my paper.
But it would be bad if good things were overshadowed by other people's reasons. After all, Professor Sam and Professor Frank must be very unhappy, and they have been cooperating with Professor Dennis for so long. This way of handling it can make those two The two collaborators cannot blame Professor Dennis and Professor Pan.
As for me, it doesn't matter. Anyway, I am young, and you and Grandpa Shi are protecting me. I have nothing to do with the two professors. Anyway, I am not afraid of offending anyone at all. At most, wherever they appear in the future, it will be over if I don't go. !
Well, good boy, you are really comprehensive and have thought of everything. The key is that you are still so responsible and take the initiative to help Professor Pan, who has helped him, to share the pressure of favors...
"Okay, you can do whatever you want with your results. Just put all your thoughts into...forget it, go back to your room and pack your things first." Tian Yanzhen waved his hand and said. Originally, I subconsciously wanted to ask Qiao Yu to focus on mathematics, but after thinking about it carefully, there was actually no need to say this.
After all, given the current situation, no matter how strict the instructor is, they cannot deny Qiao Yu's achievements in mathematics. This kid is about to usher in a harvest period.
After this report is completed, if it can be approved, it means that Qiao Yu will already have three first-author papers in hand.
At the age of sixteen, he has three first-class papers in mathematics. If the results of Huaqing's project come out, there will be at least one four-year first-class paper. This makes Tian Yan really unable to bear any harsh criticism. Looking at mathematics In world history, probably only mathematical wizards like Gauss and Ramanujan can compete.
Geniuses really have many things in common. For example, these people all relied on self-study to achieve these achievements. The same is true for Qiao Yu. So far, his mentor has almost done nothing except assigning him a bunch of required readings.
Qiao Yu seems to be very adaptable to this self-study model. Alas...it can only be said that his talent is enviable.
Really, now Tian Yanzhen has no interest in accepting any more students.
Seeing Qiao Yu dragging his suitcase with a sneer on his face, turning around and about to leave, Tian Yanzhen suddenly thought that this kid was going to attend IMO in July.
.
After this report meeting, he was probably qualified to sit on the IMO judges' bench and chatted and laughed with the judges. However, his age supported him to participate in this kind of competition that only high school students can participate in. Just think about Tian Yanzhen They all thought this was outrageous.
On the other side, Qiao Yu put away his luggage. He originally planned to call Qiao Xi to talk about his plans, but gave up. He still planned to wait until he finished the matter before telling Qiao Xi in person.
After all, there isn't much material to tell right now.
After the report meeting, the respected Professor Frank will probably hear about it regardless of whether he came to attend the meeting or not. At that time, no matter what considerations, Dennis or Professor Pan will definitely want to obtain the information from Professor Frank. contact.
Then he could inquire about Professor Frank's reaction through Professor Pan.
Of course, it would be best for Professor Frank to attend the meeting in person, so that he could see the big boss's reaction with his own eyes, and then go back and describe the scene to Qiao Xi.
Just as Tian Yanzhen thought about it, Qiao Yu is still only a sixteen-year-old child anyway. He really has no bad intentions. He just wants to show off his abilities in front of his mother and tell Qiao Xi that he has grown up. Not only is he capable of protecting his mother, but he can even help her vent her anger.
Men, when they grow up, there will be this stage. They can’t wait to prove that they are no longer a kid who doesn’t understand anything. It’s just that very few succeed, and some even do some very stupid things in this process. Things that happened so much that when I think about it in the future, I feel like I can’t hold my head up.
But Qiao Yu is obviously not among them.
After all, he took every step steadily and won the support of everyone around him. The only accidental injury among them was probably Professor Sam.
But having said that, being able to work with a self-interested and hypocritical guy like Frank for so long is probably not a good person. Moreover, this professor is not young anymore, and he has no career in mathematics anyway... In short, Qiao Yu's mentality is very calm.
Especially after he confessed to his tutor, he felt even more relaxed. After packing his luggage, he took out a book and started reading happily. When he went out for a meeting, he did not forget to read and study. The tutor and his master would definitely praise him severely.
...
According to the established plan, after lunch, Qiao Yu chose to send the complete proof process that he had already prepared to his tutor and Mr. Yuan via email at three o'clock in the afternoon. Then he sent an email to Pan Jingyuan and Dennis each. It was probably because he suddenly had an idea.
In a flash, the complete solution came to mind.
As for whether the two believe it or not, it is none of Qiao Yu's business. Just as he told Tian Yanzhen, although his purpose was not that pure, it was indeed for the good of these two professors. Theoretically, during the report meeting, he
After talking about it, this proposition has nothing to do with Sam and Frank.
The most interesting part of the whole thing is that, in order to solve the problem of geometric Langlands conjecture, this team did not write one paper before, but five papers.
In other words, it is enough to remove the paper where Sam and Frank made the main contributions. There are two other papers that need to be slightly revised. It is enough for Qiao Yu to write this part of the process into a paper and add it. So there is no need for Dennis' invitation.
, he also had to become a member of the team. Because he made an extremely important contribution to the promotion of the geometric Langlands conjecture, directly replacing the two old men in the team. Things developed as he expected.
It was already evening when Dennis noticed Qiao Yu's email.
When he wanted to contact Qiao Yu, he was stopped by Tian Yanzhen.
"I'm sorry, Professor Dennis, Qiao Yu has already gone to bed. You know, he just took a plane for more than ten hours yesterday, came to the hotel to discuss with you, and kept thinking about this issue when he returned to the room. Human beings are inherently
I’m very tired. Besides, Qiao Yu is only sixteen years old, shouldn’t you wake him up now?”
When Tian Yanzhen said this politely and firmly, although Dennis was anxious, he really had nothing to say.
He slept from morning to afternoon, and rested for a while before he felt better. But if it was true as what Qiao Yu said in his email, he had been on a plane for more than ten hours, and not only was he stopped and given a solution, but he continued to
Think about how to solve the problem.
Mental work is not as easy as many people think.
The fatigue caused by excessive mental exertion is even more difficult to repair than physical fatigue.
So Dennis could only sigh and said: "Okay, of course I can understand. Damn it, it's just that I probably won't be able to sleep tonight. By the way, Professor Tian, ​​has Qiao Yu told you his thoughts?
"Well, he talked to me some before going to bed. In fact, Pierre Deligne's geometric homology theory and Bellinson and Delin Feld's geometric Langlands framework inspired him." Tian Yanzhen
Said something casually.
"So what time does he usually get up?" Dennis asked again.
Tian Yanzhen replied seriously: "In fact, I thought so. Since Qiao Yu may have solved this problem independently, I have already contacted the organizing committee's review committee. In addition, I had made an appointment with Schultz before, and he
I'll arrive in Paris around nine o'clock tomorrow morning.
So we have confirmed with the review committee that at ten o'clock tomorrow, Professor Benoit Bost, Professor Pierre Delini, Professor Bellinson, and Professor Schulz of the organizing committee of this conference will meet.
Get up and listen to Qiao Yu's explanation of his idea. Of course, you will also be invited to participate in this small-scale discussion.
If everyone agrees that Qiao Yu's research results are valuable, then his report may temporarily report this research to everyone. Professor Dennis, this is the most perfect arrangement, I hope you can understand."
Dennis nodded thoughtfully.
In fact, after adequate rest, the mathematics professor's brain was at least no longer confused.
"This is indeed a perfect arrangement. I even feel that I need to thank you for this arrangement. But I would like to ask, is this Qiao Yu's idea or yours? Professor Tian." Tian Yanzhen asked with a smile: "What's the difference? ?」
Dennis smiled bitterly and said, "I always feel that there are a lot of coincidences... Qiao Yu seems to be right... Oh, forget it, maybe I'm overthinking it. Okay, Professor Tian, ​​I'll wait for your notification."
Tian Yanzhen nodded, he was too lazy to explore some things that Dennis didn't say.
The next day, a small seminar was held at ten o'clock in the morning in the conference room of the Royal Monet Hotel.
It is said to be a small seminar, but the scale is really not small. After all, two Fields Medal winners participated in it. Peter Schulz and Pierre Delini, the former’s contribution to the Langlands Conjecture is obvious to all. The latter is famous for proving Weil's conjecture.
Of course, except for the participants, probably no one thought that the protagonist of this small seminar would be a sixteen-year-old boy.
The meeting lasted two and a half hours.
Many professors participating in the meeting even postponed their lunch time.
At the end of the seminar, after several leaders who participated in the meeting exchanged opinions, Pierre Delini, one of the conveners of this conference and also the vice chairman of the organizing committee, said with a wry smile: "Damn it. , Qiao Yu, the first time we met, you gave me a difficult problem.
And it is a problem that is rarely encountered - we may need to temporarily modify the arrangements for the conference. Do you know how troublesome it is to temporarily change the speaker of the opening ceremony of the conference?"
After saying that, Pierre-Delini's eyes moved from Qiao Yu to Dennis, who was sitting opposite him. Unfortunately, the professor was obviously still immersed in Qiao Yu's proof process and did not notice his eyes.
Peter Schulz, who was still sitting next to him, said in a relaxed tone: "Actually, it's not too troublesome. Let me go and talk to Shigeru Mukai, although his research progress on K3 surfaces is indeed worth sharing. , but obviously the importance cannot be compared with the promotion of the geometric Langlands conjecture."
Pierre Delini nodded and looked at Dennis opposite again: "So Professor Dennis, what do you mean?"
"Oh, of course, obviously, I can't have any objections! In fact, I think there should be a special report meeting. Obviously we need to integrate these contents for the revision of the Ambidexterity theorem! Are you right? Qiao Yu."
Qiao Yu, who was still standing in front of the conference room, glanced at Tian Yanzhen, who was smiling next to him, with some confusion, then glanced at the professors with different expressions in the conference, and said uncertainly: "Well...
You mean, I’ll give the opening report?”
"Yes, the good news is that you still have one day to prepare! In addition, in my memory, you are the first mathematician under the age of twenty to give a report in the history of the world's algebraic geometry conference!" Pierre
-Delini nodded, and then said in a positive tone.
It’s like he can make the decision….
Chapter completed!