Chapter 104: Sharp Eyes
There is a joke on the Internet about mathematics.
It is roughly said that someone posted a post on the Internet, saying that he had spent decades creating an important mathematical theory, and then simultaneously posted his proof process on the Internet.
It turns out that a mathematician actually took a serious look at it and told him in the forum that this theorem has actually been proven by mathematicians for more than 80 years. Anyone who has studied mathematics as a graduate student will know this theorem. Everyone just uses the conclusion directly.
Whether this joke is true or false, it at least illustrates that to learn mathematics these days, you first need to have a solid foundation.
This is why Tian Yanzhen, after discussing with Xue Song, developed a series of systematic courses for Qiao Yu so that his knowledge could be systematic. But when Tian Yanzhen discovered that Qiao Yu had his own ideas and insights after just reading Peter Schulz's paper for one night, he gave up this decision.
The reason is actually very simple.
For example, you will often see someone on the Internet claiming to have proved Goldbach's conjecture. It is no exaggeration to say that Goldbach's conjecture can be proven hundreds or thousands of times a year by mathematics enthusiasts around the world.
But mathematics enthusiasts who claim to have proved the Riemann Hypothesis will immediately lose 90%. As for P=NP? , the turbulence problems involved in the N-S equation, etc., are even less.
This is the threshold of mathematics.
If you can’t even understand the problem itself and cannot accurately describe it, let alone solve it.
As for the things that Peter Schulz studied, there are no mathematics enthusiasts on the Internet who want to touch upon them, and there are even very few mathematicians who want to touch upon them.
This threshold is too high, and it is difficult to find opportunities to express different opinions or raise arguments, because most people cannot even understand the core ideas of their research, let alone make criticisms or suggestions.
In a sense, Peter Schulz's research on mathematics itself challenged many mathematicians' traditional views on such issues. But everyone has to admit that his achievements, such as the construction of complete coprojective geometry, did provide new tools and methods for solving previously intractable problems.
But this guy Qiao Yu actually understood Peter Schulz’s paper.
To be honest, in the eyes of Tian Yanzhen and Xue Song, this is a very unmathematical thing. But it also allowed them to see Qiao Yu's infinite possibilities.
Qiao Yu's performance at this time was probably one of the infinite possibilities.
It only took one night to find a method that seemed to greatly simplify the accurate estimation of the upper bound of the rational number points of special curves.
Of course, we can only use appearances here, because Qiao Yu directly used the framework set up by Peter Schultz, created five mathematical tools in one go, and successfully solved this problem.
But the problem is that although he feels that these newly created mathematical tools are definitely correct, he is just unable to fully prove any of them from mathematical logic.
In other words, he could not prove any of these mathematical theorems that were expected to solve certain world problems, so it was difficult to say whether these theorems were really true.
So theoretically, he just proposed five less popular mathematical conjectures.
Regardless of whether it is useful or not, at least the manuscript paper is filled with three large sheets, which can be used to discuss with everyone during the lecture.
And with these things, Qiao Yu felt that he was no longer showing basic courtesy. This was simply courtesy, showing the highest courtesy in China to the professor who came to give the lecture.
After all, he not only studied the other party's paper, but also found a set of methods that seemed to be able to solve similar problems, which proved that he had spent a period of extremely careful thinking.
As long as you don't worry about the little details that can't be proven for the time being, it will be perfect.
And it only took him more than an hour to construct this set of tools.
Qiao Yu finally realized how fun it is for those great mathematicians to come up with a conjecture for nothing.
Probably the kind of mentality that I think this mathematical theory is like this anyway, but I can't prove it. Anyone who wants to prove it can try it.
Qiao Yu has even imagined that he will become a world-recognized great mathematician like Riemann and Fermat in the future, and he will also develop something that is so awesome and useful that people will feel like he will die by the morning. Awesome mathematical conjecture.
Then he proved it secretly and privately, then hid the manuscript and kept it in his last words.
Next, he went to cooperate with a wealthy and well-known mathematics research institution like the Clay Research Institute. Both parties spent a large amount of money to offer rewards. Whoever could prove his conjecture would be rewarded immediately. Take this money away!
When everyone's enthusiasm was mobilized, but it was found that it could not be proved, he would just watch the excitement, and from time to time he would speak out to encourage everyone, or drop some vague clues.
It wasn’t until after he died and his last words were exposed that mathematicians all over the world knew that this conjecture was actually a theorem and had been proved by him long ago. Alas, he just didn’t tell everyone when he was alive. Just play.
Then the bonus will naturally be paid to him. Although he is dead, it can be left as a legacy and passed on to the next generation.
Really, just thinking about this makes Qiao Yu feel very emotional, and even makes his blood boil.
And in reality, he is only three steps away from realizing this fun thing.
The first step is to become a world-renowned great mathematician; the second step is to come up with this conjecture, and the third step is to prove it completely and without error!
See, math is that simple.
Thinking of the dumbfounded looks of all the mathematicians, Qiao Yu couldn't help but smile knowingly, looked at his masterpiece again, stood up, stretched hard, and then picked up the phone.
Today's study ends here. Qiao Yu knew very well that the things he had just come up with out of the blue were impossible to prove with his current ability. But it doesn't matter, he hasn't finished reading Peter Schulz's related papers yet.
Maybe after reading this, you will be inspired and solve this problem accidentally?
Qiao Yu just took a look and found that Professor Robert had a paper published in "Journal of the American Mathematical Society", which was one of the four top mathematics journals in the world that Lao Xue had mentioned to him.
In other words, the old man hasn’t completely solved this problem yet. His papers can be published in the world’s top journals. If he can really solve this kind of problem, he must be more qualified to be published. .
Although this is not the kind of mathematical problem that will shock mathematicians all over the world after being solved, since so many mathematicians are interested in this thing, it means that it must still have influence.
At least it can be considered as equal to the talented student named Zheng Zhiqiang trained by the school opposite, right?
Actually, it is not all due to competitiveness. The main reason is that Qiao Yu has always believed that he has to do his best to realize what he has boasted about. If he slacks off because he encounters some difficulties, then how can he realize himself? dream?
Today he gave up the idea of competing with the genius because his previous achievements were too good. Then tomorrow he will give up acquiring the entire community because it is too difficult to make billions or tens of billions. What's on your mind?
Then what is the difference between him and my grandfather’s drinking buddies who like to brag at every turn?
Men, when encountering difficulties, must face difficulties in a literal sense, not in a phonetic sense.
...
I turned on my phone and looked at the time. It was only ten twenty-three.
So Qiao Yu clicked on WeChat, thinking about sending a message to Qiao Xi and saying something.
The moment this crappy software was opened, a bunch of messages popped up in the friend group.
I clicked on it and took a look, and sure enough, it was Yu Yongjun who kept @ him for almost the whole day, and probably couldn't help but @ him when I had some free time.
What can I say, Qiao Yu has indeed not been in the group in the past two days. On the one hand, he feels that he has tight time and heavy tasks, and on the other hand, he already feels that it is not good to keep bullying the kid in the group...
< br>Well, although everyone is actually the same age, he is now a college student, and the two guys are still hanging out in high school. Doesn’t this gap come out?
Qiao Yu now thinks that those guys on the Internet who say that college students are clear and stupid, and that high school is the pinnacle of wisdom in life, are either making fun of themselves, or they went to a fake university.
Not to mention anything else, which high school in the country can compare with the documentation system of the Yanbei University library?
This thing can really improve your horizons.
During the two months he was in high school, he stayed in the study room of Tieyi Middle School every day, trying to find some useful information. It often took a lot of time to find resources through search engines, and many times he finally found the resources. It's not that high quality and it's a complete waste of time.
After arriving in the capital, I searched through the internal literature search system of Yanbei University in this small room and found a large list of extremely high-quality resources in minutes!
I can’t finish it, I can’t finish it at all!
But since these two guys are so pious, he must bully them...
Qiao Yu decided to click in and take a look. He must respect his friends' psychology of being abused.
Oh, it's been two days, and we're still discussing his paper.
Yu Wei is still so powerful. He only took a picture of half of the name of the paper. Unlike his work, this guy actually found the full text of the paper.
Of course, this does not mean that this guy was scared. In the group chat, he was still as tough as ever.
To summarize, this guy had dozens of arguments with Yu Yongjun in the WeChat group. What he meant was that at most Qiao Yu had an idea for this paper, and most of the article must have been completed and revised by others. , polished...
Also, this paper does not have any new tools, it is just a living study and application of many known mathematical tools. In essence, it is no different from their participation in the Olympiad, except that they have high school knowledge. The paper is a flexible application of mathematical tools that many universities only come into contact with.
For the above reasons, Yu Wei believed that the reason why Qiao Yu did not show up was that he had already understood a generic paper and had nothing to show off.
As for Yu Yongjun’s expression, it is simple.
In fact, his long and extremely damaging language expressions can only be translated into one sentence: If you say that my eldest brother is not good, that is just jealousy, otherwise YouCanYouUp!
Seeing that his younger brother was being bullied, Qiao Yu felt that he should educate Yu Wei once in a while, otherwise this guy would really have some unrealistic illusions over time.
"Ahem, can you two really talk? I've been too busy these two days and haven't had time to talk to the group, but you guys have had hundreds of chats? Have you studied your questions well? I'm in this state very much. I wonder if you can be selected for this year’s IMO!”
It was still Yu Yongjun who was the first to rush out: "Damn it, boss, you are finally willing to take the initiative. This guy Yu Wei will turn against Tiangang while you are away!"
Qiao Yu: "No. No way, wasn’t it that I was too busy when I first arrived at Yanbei University? You don’t know Director Tian? How strict are the requirements? Tomorrow I have to attend a lecture by a professor from New York University, and I have to read at least two papers by him today. Is it easy for me?”
Yu Yongjun: “Fuck, it’s so high-end. Are you reading papers and attending lectures? Life is a little different from what I imagined!"
After the two chatted for a while, Yu Wei also appeared: "Hey... blow, you keep blowing!"
Qiao Yu: "Classmate Yu Wei, I know you are in a hurry, but don't be in a hurry yet. Let's do this. I'll talk to you later. I would like to suggest to my instructor that I come to Yanbei University for the first phase of special training this year. Then I will let you personally experience my life at Yanbei University. In short, I will forgive you first, because it is simply unimaginable. Life beyond one’s own knowledge ”
Yu Yongjun posted a picture of him laughing, and then: "Yu Wei, are you still not honest?"
Yu Wei: "Your family runs the Chinese Mathematical Society? Go to Yanbei when you say you want to go to Yanbei?" "
Qiao Yu: "Hey, You don't understand. Let's put it this way, you were right about the paper I sent you yesterday. I don't think the level is high, I'm just better than you, and I really don't want to show off to you. , but to tell you the truth, I just I have found a way to solve a world-wide mathematical problem.
Let’s put it this way, as long as I show these things tomorrow, in order not to delay my research time, the special training in March must also be at Yanbei University. After all, it saves me the time of traveling back and forth, because this saves time for mathematicians all over the world, understand?”
You went to Yanbei University? Bragging about professionalism?”
Yu Yongjun: "Well, boss, although I think you are indeed very awesome, at least much better than Yu Wei, but to be honest, you did brag a little too loudly this time, right? How about we Collect one first, then solve one The beginning of a small problem? "
Qiao Yu: "Hey, Xia Chong can't talk about it. You should first search for the problem of precise estimation of the upper bound of the number of rational points on the algebraic curve, and then search for Peter Schu. The theory pioneered by Ertz . And I, your eldest brother, am the first to try to combine the two to solve this problem, understand?"
Yu Wei: "..."
Yu Yongjun: " ..."
Qiao Yu: "Forget it, I don't have time to explain to you. I have to go to bed early today and I have to attend a lecture tomorrow. I know it is difficult for you to accept the gap between us now. But time will tell.
So come on and do your best! Try to pass the interview at Yanbei University in the future. After all, only when you come to Yanbei University can you know how big the gap is with me! ”
After saying that, Qiao Yu directly quit the group chat and clicked on Qiao Xi’s WeChat. There was no way, the situation was different, and some things were difficult to explain to these two guys.
< br>“Mom, I have completely gotten used to life at Yanbei University. You don’t know how friendly the people here are! Not only did he arrange a special private room for me, Director Tian also said that all mathematics professors in Yanbei would come to train me. By the way, I met a senior fellow student today who was nice and cute. Before leaving, he said that I was as important to him as air. "
Qiao Xi replied quickly: "Huh? I can understand other things, but why does your senior brother think you are as important to him as air? Are you sure this senior brother is normal? "
Qiao Yu was a little confused. He just made some artistic processing of Chen Zhuoyang's words. Qiao Xi's understanding ability is very strong, but how could she go so far?!
"Mom, you are wrong! His expression was affirming my mathematical talent! Because with just a few words I made him realize how important I am to the world of mathematics. He hopes to get my guidance in the future, so that's why That’s right.”
“Oh, that’s it. Just get used to it, but boys should also protect themselves outside.”
“This is Yanbei University, you know. doorway How strict is the security? I'll scare you to death!"
"Okay, take care of yourself and stop scheming against others. I don't know how strict the security is at Yanbei University, but I know what's going on. They are all very smart people. Playing smart will only make people angry. "
"Don't worry, smartness is only used in elementary school. I will only conquer them with great wisdom in college!"
< br>
"Okay, come on! By the way, your eldest cousin heard the news about you yesterday. He knew that you were going to Yanbei University, so he called and asked about you. He also asked if you were free during the summer vacation. He wanted to Take his son to Yanbei University to experience the atmosphere. "
The topic was changed a bit abruptly. Fortunately, Qiao Yu was very used to Qiao Xi's way of chatting, so he immediately replied: "What a beautiful idea he has! I won't go home during the summer vacation?"
“Well, I do the same What he said. I just want to remind you in advance, don't rant on the Internet in the future."
Qiao Yu said disdainfully: "No, this is not my rant, it's because the reporter wants to report on me, and I don't do it either. The future great mathematician, It's hard for China's star of hope to keep a low profile.
Besides, I just like to see them saying bad things about me when they see that I'm prosperous and can't get any benefits. So I have to. ”
"Well, it seems to make sense. Coco said the same thing today. She also said that if your eldest cousin dares to kidnap you morally, she will be responsible for helping our family scold him."
Qiao Yu: "How could she do that? Swearing? Just a few words over and over again, forget it, I'll go to bed tomorrow. I have to attend a lecture tomorrow.”
Qiao Xi: “Oh, good night, son.”
Qiao Yu: “Good night, Mom!”
Put down the phone, Qiao Yu. I stood up, picked up the toothbrush basin and towel, and planned to wash up and go to bed.
But when I reached the door and held the door handle, I suddenly changed my mind.
Damn it, he is so good that the opposite sex thinks about him every day and wants to scold him, so why do he pay so much attention to personal hygiene?
Forget it, just go to sleep. It’s still very cold outside the capital at night in the winter...
So I put the toiletries back with peace of mind, jumped directly onto the bed, and went to sleep!
……
The lecture time on the second day is from 9 to 11 o'clock in the morning, two hours.
Qiao Yu regained his good habits and climbed out of bed at 6:30 in the morning.
You can do whatever you want in the evening, but you still have to take care of yourself in the morning. After all, it was the first lecture in his life. When Qiao Yu went out to wash up, he specially picked up the facial cleanser that was still stuffed in the box.
A bottle of Qiao Yu can last more than a year. It’s not that he is very economical, but he doesn’t use it at all unless it’s an important day.
Facts have proved that although washing your face with cold water is painful for the first time, it makes you shiver from the cold, soothing and refreshing.
Especially the one after using facial cleanser feels tight, dry and comfortable.
After washing up, Qiao Yu did another set of radio gymnastics outside the house. After moving his whole body, he returned to the house, sat down at the table, and went over in his mind what he had thought about yesterday. Then he took some pieces of manuscript paper and translated everything he wrote yesterday into English.
No way, the professor from New York University came to the research center to give a lecture. Qiao Yu felt that he should acquiesce that he did not understand Chinese. After all, Chinese is not easy to learn. Especially for foreigners.
He took a stack of manuscript paper full of Chinese characters to ask the other party for advice, which seemed a bit overwhelming.
At half past eight, Lao Xue arrived at Qiao Yu’s temporary dormitory on time. "It's so early, Teacher Xue."
“The lecture started at nine o’clock, and it is now eight-thirty, very early?”
“Isn’t the lecture in the research center? Isn’t it just a few steps away?”
Old Xue was speechless, looked at Qiao Yu and asked: "So are you going to tell me Let’s go in with all the professors here, right? Other professors will go to the lounge in advance to wait for the lecture to start. Can’t you wait in the conference room for a while?”
Okay, considering Qiao Yu is only fifteen years old, I think so. It's understandable that he's not so thoughtful, Xue Song reminded himself in his mind.
In fact, it's no wonder that he is always strict with Qiao Yu, but Qiao Yu's behavior often makes him subconsciously ignore this guy's age.
"Oh, that's right. Just wait a minute. I'll prepare the things I'm going to use today."
After saying that, Qiao Yu quickly started to tidy up what he had just sorted out in English. Good guesses must be put in order. If he misplaced it, he was afraid that others would not understand his thinking at that time. To be honest, after just one night, when he was translating, he felt that his brain might have been a little too excited last night.
The things I came up with have an indescribable messy beauty.
"Just bring a notebook and pen. What else do you need to prepare? Wait, what is this." Xue Song keenly noticed Qiao Yu's densely packed manuscript papers.
"This is what I thought after reading Professor Robert's paper yesterday. I plan to discuss it with the professor later. Maybe we can take this issue a big step forward!" Qiao Yu said confidently.
"Let me take a look first." Xue Song glanced at Qiao Yu suspiciously. To be honest, he still didn't believe that Qiao Yu had learned anything new about this research direction just by reading the paper in an afternoon. Although Qiao Yu has proven himself many times, he can't just say it.
"Okay, read it from the beginning, otherwise it will be confusing."
Xue Song couldn't bear to take the draft handed over by Qiao Yu, especially the first proposition about the constant C. Zhu Zhu looked up at Qiao Yu in surprise, right? Is this too outrageous? !
Immediately withdrew my gaze and continued reading. Then I saw the big question mark following it, and I calmed down.
Oh, just suggesting an idea...it startled him.
Then he quickly scanned Qiao Yu's thoughts without changing his expression, and Xue Song looked confused.
What was he looking at just now? To be honest, he could roughly clarify Qiao Yu's thinking. After all, he studied Diophantine equations, but this method...
Silently rearranged the manuscript paper, handed it to Qiao Yu, and then Say in as calm a tone as possible: "Let's go."
"Okay." Qiao Yu picked up the things and followed Xue Song out of the door. On the way to the lecture conference room, Qiao Yu couldn't help but asked cautiously: "Teacher Xue, is my idea wrong? How do you feel? Did you feel weird after watching it?”
Xue Song took a deep breath and considered for a long time before answering: "I can't say whether it's right or wrong, because I don't know if you are further complicating the relevant issues. After all, I haven't studied it in depth, Peter Schulz Those achievements of the professor."
"Huh? What does complication mean?" Qiao Yu asked humbly.
Xue Song thought for a moment and replied: "You should know from reading Professor Robert's paper yesterday that our similar research is mainly based on the methods and tools of classical number theory and algebraic number theory. For example, the use of classical tools is mainly based on It is class field theory, circle field, unit group theory, etc.
Even if it involves some modern tools, namely elliptic curve theory, modular form, etc., in short, this type of tools has been covered. I have learned the key ideas of similar problems, so I will not rely on Peter Schulz's theory.
Similarly study the distribution of prime numbers, congruence theory, quadratic forms, integer rings on algebraic number fields, etc. For these problems, Peter Schulz's theory is also unnecessary. Like the classic proof of Fermat's last theorem, before Wells' work, it mainly relied on the basic concepts of elliptic curves, modular forms and Liege group theory.
So what you are doing, how should I put it, regardless of whether it is successful or not, of course I cannot judge whether it is successful or not, but what is certain is that the proof process will be extremely complicated. I don’t know whether it is a good thing or a bad thing if it is successful. . "
Qiao Yu blinked and asked, "Why is it a bad thing if it succeeds? When more advanced mathematical tools are created, isn’t that what they need to be used? "
Xue Song glanced at Qiao Yu and said expressionlessly: "Because that means that in doing this kind of research in the future, Schulz's theory may become indispensable, but you must fully understand it. His theory is difficult, which means that the threshold for studying related issues will be raised again in our generation. "
Qiao Yu was stunned and said, "Oh! I understand, that is to say, if I succeed, you may have to learn Peter Schulz's theory from scratch in the future, right? "
Xue Song glanced at Qiao Yu and was too lazy to talk to him. This kid was getting more and more over the top.
But Qiao Yu was obviously more excited, and said emphatically: "No, Teacher Xue, you can't refuse new things! Only by thoroughly studying other people's things can we create newer things based on theirs. Come on. If I succeed, you want to learn this , I can teach you! Just like you give me advice, I won’t charge you!”
Obviously, Professor Xue didn’t appreciate it very much, so he scolded: “Shut up!” br>Qiao Yu was a little aggrieved, but he was really embarrassed to speak anymore.
However, I thought of the topic studied by Senior Brother Chen that the instructor mentioned yesterday.
Old Xue is already a professor. There is nothing he can do about him not wanting to learn, but Senior Brother Chen is different. If he could find a way to solve the problem studied by Senior Brother Chen, wouldn't it mean that Senior Brother would have to re-learn Peter Schulz's theory before graduating?
I heard from Lao Xue that this theory is so advanced, so the extremely talented Senior Brother Chen must be grateful to him, right?
But he has to speed up, otherwise what if he is unwilling to accept such an advanced concept when Dr. Chen graduates successfully and finds a job? Then didn’t all his sincerity go to the dog by mistake?
Taking Qiao Yu up the stairs, Xue Song suddenly regretted it when he found that the boy had really been silent.
By the way, were you too harsh on the child just now? It would be bad if it dampens his enthusiasm.
Although what this kid said was very irritating, at least some of what he said was indeed correct. If more advanced tools can solve the problem, then you must still learn it, otherwise you will only be left further and further behind. And...he's only fifteen years old! It's the age of leaping forward.
But Xue Song was too embarrassed to apologize directly, so he could only ask in a deep voice: "What are you thinking about?"
"Tell Professor Xue, I am wondering when Senior Brother Chen will graduate with a doctorate." Qiao Yu He answered subconsciously.
"Why do you care about when Senior Brother Chen will graduate?" Xue Song asked with a frown. This was very confusing.
"Uh..." Qiao Yu was a little hesitant. Although he was doing it for the good of his senior brother from the bottom of his heart, the attitude of Lao Xue just now made him a little unsure whether Lao Xue could understand his feelings for his senior brother. Painfully.
"Is this difficult to answer?" Xue Song couldn't help but ask again.
Qiao Yu quickly shook his head and replied: "No, I'm just thinking that one method can be used to solve all problems. If I can use this theory to incorporate things like surfaces and manifolds, I can create more solutions for my senior brother." Will it be easier for him to graduate if he has tools to solve the problem?"
Xue Song opened his mouth and was too lazy to say anything.
I have to admit that he was worried in vain just now. This kid's enthusiasm is not easily dampened.
No matter, it’s Mr. Tian’s student after all...
At this moment, Xue Song was even a little lucky that he didn’t try to trick this kid into his school, otherwise he would be the next one. Life will probably be very tiring. Really, after getting familiar with it, Xue Song no longer dared to guess what was going on in Qiao Yu's little head every day.
He even wanted to ask Qiao Yu for Lan Jie's contact information and ask the high school teacher how he usually dealt with Qiao Yu.
"Teacher Xue, what do you think..."
"Stop talking nonsense, just this conference room, come in with me."
Qiao Yu secretly Sticking out his tongue, hey, Lao Xue has become old-fashioned and doesn't like him at all.
……
Today's lecture is arranged in a medium-sized conference room.
As soon as you enter the door, you can see a blackboard in the middle of the rostrum and a screen on each side.
At this time, Senior Brother Chen, whom Qiao Yu was thinking about, was already debugging the equipment on the rostrum, probably to ensure that Professor Robert's PPT could be properly projected on the screen when the lecture began.
This made Qiao Yu feel a little emotional.
He suspected that Peter Schulz obtained his master's and doctoral diplomas quickly just so that he didn't have to work.
Turning his head and looking at the seats under the rostrum, Qiao Yu roughly counted and found that there could be about fifty people seated. However, except for a row of tables in the first row, there were only stools in the back.
What surprised him was that he and Lao Xue were not the first to arrive. At this time, there were already more than thirty people sitting in the conference room.
Except for the empty seats in the first row, there seemed to be not many seats left in the back.
Normally, I don’t know where these people are hiding. Anyway, Qiao Yu feels like he hasn’t met many people in the past two days.
What surprised him even more was that he saw three senior sisters.
Qiao Yu almost couldn't help but take out her phone and take a photo to show Lan Jie...
Who said there are no girls in the Mathematics College? The good old man must have overgeneralized.
When I attend a mathematics lecture, I can see three senior sisters casually. This is enough to show that if good people cannot see girls when they are studying, it is not a problem of mathematics, but a problem of the school. Shuangdan University must review...
Qiao Yu and Lao Xue also attracted the attention of many people, especially Qiao Yu.
Maybe these guys didn’t expect that a young college student like him would attend the lecture, right? Qiao Yu thought to himself, and then walked towards the back row of the conference room.
There was no way he could do it. When he was in Tieyi Middle School, he was used to sitting in the back row of the classroom, where the teacher didn't pay much attention, but Xue Song grabbed him.
"Where are you running? Our seats are over there, on the right!"
"Huh?" Qiao Yu was stunned for a moment, then obediently followed Xue Song and sat on the far right side of the first row. position.
Well, it’s good to have a table in front, not because of the mineral water on it, but mainly because it makes it easier to take notes.
Qiao Yu didn't bring his laptop, but only brought a serious notebook worth 12 yuan that could only be used for taking notes, a water-based pen, and five sheets of A4 manuscript paper for summarizing his mathematical ideas.
When listening to lectures, you mainly need to use your brain.
While Qiao Yu was sitting there, people came in from time to time. Teacher Xue was right. Qiao Yu observed that by 8:55, the entire conference room was almost full, and there were even people Stand in the aisle.
Also includes first row position.
Everyone who comes in will glance at him intentionally or unintentionally. Some professors come over to say hello to Lao Xue and chat with him.
Senior Brother Chen has also completed the debugging before the lecture, and then sat in a seat in the middle of the first row, separated by an aisle from where he and Lao Xue were, but the seat close to Lao Xue was Stayed out.
When Qiao Yu saw Senior Brother Chen walking down, he looked specifically at him. When their eyes met, Qiao Yu returned a kind smile. Sure enough, Senior Brother Chen really regarded him as important as air.
When the lecture time came, Director Tian accompanied Professor Robert into the conference room.
The two walked to the podium together, and then Director Tian picked up the microphone first.
“Hello everyone, today our Yanbei International Mathematical Research Center is very honored to invite Professor Robert Greene from New York University to give this lecture. He is an outstanding scholar in the field of number theory, especially in Many breakthroughs have been made in the research on algebraic geometry and rational number point distribution problems.
Today, he will give us a lecture on the precise estimation method of the upper bound of the rational number point of a special curve. This problem not only occupies an important position in number theory, but is also closely related to many other branches of mathematics. Next, let us welcome Professor Robert with a warm round of applause!”
After saying that, amidst the applause from the audience, Director Tian walked down from the podium and sat next to Chen Zhuoyang, leaving the podium to Professor Robert on the stage.
At this time, after paying tribute to the audience, Robert Green had already sat on the podium. After trying the microphone, he said in fluent English: "Thank you Professor Tian for the introduction, and thank you also Everyone is here.
Today I will share with you the latest results of my team and I on the upper bound estimation method of a special type of curve. This question has always been a very important topic in modern number theory, especially in understanding the properties of curves. I hope..."
Xue Song, who had been sitting there as steady as a rock, took advantage of Robert on the stage ·While Green was still making the introduction, he unceremoniously picked up the question Qiao Yu had prepared and handed it to Tian Yanzhen, who was only across the aisle from him.
Before Qiao Yu could react, half of the things in front of him were missing.
Well, whoever is the teacher is right.
Qiao Yu glanced sideways at Director Tian not far away, then looked honestly at the professor on the podium and listened to the report.
Fortunately, Professor Robert has finished introducing the less nutritious part and started to get to the point. The PPT also directly showed the first example.
“We start with a familiar problem, namely the Mordell curve, which is an elliptic curve of the form y^2=x^3+k, where k is a constant. According to Faltings theorem, we know that, For a non-singular algebraic curve with genus g≥2, there are only a finite number of rational points
Although. This gives a finite number of rational points, but does not provide an exact upper bound. In recent research, we have further optimized this for certain classes of curves, such as supernormal curves, by combining Galois representation, Chabauty methods, and Coleman integrals. Estimation of the number of rational points on elliptic curves and some low genus curves..."
Qiao Yu listened very carefully, and then roughly understood that the big man's recent achievement was to directly improve the upper bound of the number of rational points from the classic O(d^2) to O(d\logd), where d represents the curve frequency.
For Qiao Yu, a newcomer who has just stepped into the world of mathematics, he is not sure whether this is a great progress in the world of mathematics.
However, Qiao Yu could see that the professor on the rostrum was obviously very proud when introducing this latest result.
To judge others by oneself, this probably means that at least in this field, this achievement should be very impressive, right? Otherwise, why would you be so proud? It's as if a math rookie like him is too lazy to show off a paper he posted in his friend group now, because looking back now, he feels that the paper was really nothing great.
So if this result is nothing, Professor Robert probably has no interest in being proud in front of people like them.
Although Qiao Yu listened carefully to the lecture, he was actually paying attention to his tutor from the corner of his eye.
As expected, Director Tian was only there out of courtesy.
The man is here, but the heart is not. He is holding his manuscript and reading it with gusto.
Looking at this posture, Qiao Yu suspected that Director Tian was just here today out of courtesy and would not be present at tomorrow's lecture.
Wait a minute, there was something going on with Director Tian. Qiao Yu saw Director Tian asking Senior Brother Chen beside him for a pen, and then wrote a line on his manuscript.
After seeing Director Tian put down his pen, Qiao Yu immediately sat upright and looked straight at Professor Robert on the stage. Sure enough, out of the corner of his eye, he saw Director Tian looking towards him naturally and handed the manuscript to Lao Xue. .
Lao Xue glanced at the handwriting on the manuscript, and then put it on the table without disturbing Qiao Yu, who seemed to be paying attention to the lecture.
But for Qiao Yu, who has always looked at the six directions, this obviously does not bother him.
He could clearly see what was written on it.
“From 3:00 pm to 3:45 pm, a small exchange meeting will be held in the P2 conference room. Dr. Robert can be invited to discuss and demonstrate its feasibility.”
See, he has always said that his field director is really discerning...
Facts have proved that this is indeed the case.
Thank you to the passers-by and book friends 20241005192534569 for your eternal rewards and encouragement!
PS: The 19th day of the 10,000-word update has been completed!
(End of this chapter)