Besides, Ge Juntian finished eating the buns slowly, packed up his mood, and dragged his luggage to the staff dormitory in Mid-Levels. Pen & Fun & Pavilion www.biquge.info is very unfortunate, near the end of the period, the affairs are busy, and the old man Hui Chengze and Hui Qiongju are not at home. Ge Juntian chatted with his wife for a while, and then came to the building of the Department of Mathematics with ease.

At first glance, it looks no different from an old house, with wire-like creeper vines coiled around the blue brick façade, and there are occasionally a few frost-soaked yellow leaves, indicating how dense and lush it will be once it comes to summer. In stark contrast, there are more than 10 metal plaques hanging on both sides of the door, including "National Key First-level Discipline", "National Basic Discipline Talent Training Base", "Chinese Mathematical Society", "State Key Laboratory of Science and Engineering Computing" and other national titles, which instantly reveal the rich cultural heritage of this building.

As an academician of the Chinese Academy of Sciences, one of the benefits that Hui Chengze can enjoy is that he has a rather spacious research room in this building. When Ge Juntian walked into the research room, he saw Hui Chengze and several graduate students sitting around a certain academic issue, discussing and sometimes arguing very hotly. He took a seat in the back row and listened intently as they discussed.

After listening for a while, Ge Juntian couldn't help but interject: "As for how to further solve the problem of Model's conjecture, I think that in addition to continuing Wey's generalization theorem and Siegel's Diophantine approximation method in the early years, we can also refer to an article published in the 102nd issue of Asian_Journal_of_Mathematics by Professor Shunji Tanimura of Tokyo University of Science. Although Tanimura's original intention was to provide a technique to analyze how the P power deflection point on an Abelian cluster degenerates when it is specified to the feature P, the theory contained in this technique is still very insightful and I believe it will be of great help to solve the Moder conjecture. ”

A group of people turned around when they heard the sound, only to realize that there was another person in the research room. Among them, many of them knew Ge Juntian, and immediately asked, "Senior Brother Ge, have you studied this problem?"

"No!" replied Ge Juntian very dryly.

"Then how do you know that Tanimura's kind of technique will be of great help in solving the Modell conjecture?"

Ge Juntian smiled: "Because once the Modell conjecture is solved, a direct inference is to prove that Fermat's equation x^n+y^n=1 has at most a finite number of non-zero understandings at n≥4, thus making a major breakthrough in the study of Fermat's conjecture." I was bored in middle school, and I used to look through some messy magazines and think about messy questions, and then I happened to come across Tanimura's essay. ”

The man pondered for a moment and then asked, "Since you know that Tanimura Shunji's technique will be of great help in solving the Modell conjecture, why didn't you go any further?"

The others nodded secretly.

Modell's conjecture is an important conjecture about the rational point of an arithmetic curve, which was proposed by the famous British mathematician Modell in 1922. Many mathematicians around the world have gone to great lengths to prove this conjecture, and countless others have failed here. In fact, in the decades since Wey and Siegel made their useful explorations, there has been little progress in proving the Modell conjecture, so much so that one scholar lamented that "it is no exaggeration to say that this is a problem of the century, at least in number theory."

Because this conjecture is so difficult and important, once solved, it can immediately win great prestige in the academic community, and it is even possible to win the Sun Yuanqi International Outstanding Young Scientist Award. This is almost fatal for academics who are willing to be poor and only hope to become famous. Everyone here is fair: if Tanimura Shunji's technique can really effectively prove Modell's conjecture, will he hold back his big move and not do it, but say it in public? Obviously, even if they are fellow teachers and friends, they will never be able to be so generous!

Of course, Ge Juntian understood their thoughts, spread his hands and said: "The reason why I didn't go deeper is very simple, this technique of Tanimura Shunji - let's call it the group generalization type with the index P, or 'P can eliminate the group theory' - is a gun, if you want to fight the battle of Moder conjecture, it is useless to rely on the gun alone, at least a single gun cannot determine the outcome of the battle." To solve the Modell conjecture, more theories and methods, as well as the ingenuity of researchers, are needed!"

"In that case, how can you be sure that Tanimura's kind of technique is useful?"

Why don't you use it? How do you know it's useful? It seems like a loop that never gets out of it. Ge Juntian shrugged helplessly: "Then you just treat me as if I didn't say anything." ”

"But you've already said it!"

Ge Juntian couldn't bear to be so upright, or rather, a second, guy: "Okay, you wait for me to find someone to write an article when I have time, and prove it to you." ”

"And when are you free?"

"......" For the guy whose emotional intelligence fell below the bottom line of primates, Ge Juntian was really powerless to complain: "I have a few students who are still talented, and when they graduate from high school, enter the university, enter the mathematics department, and start to study the Modell conjecture, it is estimated that I will be free." - Don't ask how many years it is, I estimate that it will be as short as a year and a half, and as long as seventy or eighty years, so you can wait slowly!"

Hui Chengze finally spoke: "Juntian, it's time to change your lazy temperament." Since you know that Tanimura Shunji's technology will be helpful in solving the Moder problem, why don't you calm down and study it in depth? It's right to stare at the big problems and big goals, but you always want to pick watermelons, but you turn a blind eye to the sesame seeds and potatoes under your feet, and even lose sight of Mount Tai without seeing a single leaf.

Ge Juntian naturally knew what Hui Chengze meant, and replied with low eyebrows: "You are right, I will try to change!"

Hui Chengze said: "It's not about striving for change, but about changing when you know it, and making changes immediately! How many years can life delay you?"

Ge Juntian didn't dare to speak. Hui Chengze also knew that the gong didn't need a heavy hammer, and looked at the graduate student who was arguing with Ge Juntian just now: "Kuang Ming, it is a good attitude to seek knowledge and ask questions without shame, but as a graduate student, when you start to explore some fields unknown to others, you can't expect to get answers from others in everything." Everyone else has paved the way, so what do we have to study?"

Kuang Ming said in a snort: "I just want to take less detours that others have taken." ”

Hui Chengze shook his head: "Since it is research, it must take a detour, which is also the charm of research." If they are all straight roads, one horse and one flat river, and you can see the bottom at a glance, what do you need so many researchers to explore? Not to mention that taking detours is also a process of accumulating more knowledge and discovering more problems. ”

Kuang Ming had a teachable expression: "Teacher, I understand!"

"Now that you understand, then you can go back and read Tanimura Shunji's paper carefully, and write a reading note after the start of the school year, and see if it is as Juntian said, which will be of great help to solve the Modell conjecture. ”

Seeing that Hui Chengze was about to serve tea to the guests, the students in the research room suddenly scattered.

When the students were finished, Hui Chengze beckoned to Ge Juntian: "Come and sit next to me." Let's talk about it, what is the purpose of this meeting in the capital, and are there any problems encountered in the research?"

Ge Juntian replied respectfully: "The main thing is that I want to meet the teacher—"

"This one is skipped. ”

"And meet Qiongju. ”

"You can tell Qiongju this, you don't have to show affection in front of the old man. ”

Ge Juntian was a little embarrassed, so he had to explain honestly: "There is another reason, that is, I want to ask the teacher to come forward and ask the school's admissions office for a guaranteed place." ”

"To whom?"

"Jiang Shuiyuan, the student I told you about before, you have also seen it in Huai'an Mansion. ”

Ge Juntian was afraid that the old man and nobles would forget things, and he wanted to introduce the situation of the river water source again. Hui Chengze stretched out his hand to stop Ge Juntian's talking: "I know that kid from Jiang Shuiyuan, I don't need you to say more, he is very good, and his high IQ is only seen in my life." But isn't he just a sophomore in high school now? Even if he wants to take the college entrance examination directly, it is estimated that it will not be a big problem to be admitted to Jingshi University, so what do you want to guarantee a place?"

Ge Juntian smiled bitterly: "Indeed, he wants to take the college entrance examination directly, and it is not a big problem to be admitted to Jingshi University." The point is that I am afraid that if I don't have to escort the quota, he will be cut off halfway. ”

"What do you mean?"

As soon as I didn't pay attention, he secretly published a monograph on the difficulties of Chinese studies, although it was not a very academic kind, but it was definitely beyond the reach of ordinary college students. He has also won the first prize in the New Concept Essay Contest, and it is said that there is still a collection of essays in the works. You also know how smart the noses of the group of people in the admissions office of our Jingshi University are, and once they get the news, they are guaranteed to pounce on them like sharks that have seen blood. Our mathematics is not a strong subject in school, at least compared to Chinese studies. ”

"You want him to go to math?"

"That's right!"

"Twisted melons are not sweet. ”

"As far as I know about the water source of the river, he is still very interested in mathematics. It's just that others are smart and quick to get started, which leads to too many things to be involved in, and it is a bit unprioritized. It's not a bad thing to set a range for him. What's more, if our mathematics department wants to develop and become a world-ranked major, can there be few outstanding students who can do it? Even if he takes 10,000 steps back and says, after he arrives at Jingshi University, he really doesn't like mathematics, can't he still change departments in the first academic year?"

Hui Chengze thought for a moment and then said slowly: "It's not impossible for me to ask the admissions office for a guaranteed place with a cheeky old face, but you have to promise me a condition first!"