"What have you been working on lately?" In Professor Hu's office, the rare fragrance of tea lingers, and it is neat. Professor Hu and Professor Wang Yuan sat opposite each other, and Professor Wang spoke.

"It's not that you don't know, I'm just good at analytic number theory, which is also something I learned after participating in the number theory seminar under the leadership of the teacher!"

"In a blink of an eye, the teacher has been in the United States for almost four months, and he is about to return to China after calculating the time!"

"He said he would come back before the Chinese New Year, and he probably returned to China at the end of January!"

"Speaking of teachers, I want to ask what that little guy is doing now? Before my teacher went abroad, he asked me to take care of him, but recently I participated in a national-level research project, so I didn't take care of it. Halfway through the conversation, Professor Wang turned to ask.

"Hehe, you said Xiaojun, he doesn't know what's going on lately, he just finished studying the three-dimensional space extrapolation of his Penrose structure, and then he started to study music again."

"Music? What's going on? Professor Wang felt a burst of inexplicability.

"Ahem, on the day of the New Year's Day performance, he went on stage to compose a tune, and after he got off the stage, he became fascinated by music recently, and I heard Hao Peng say that he was studying something called "music geometric map", and he didn't know what it was. Professor Hu had a toothache and didn't know what to say, he took Junxin's talent very seriously, so he naturally didn't want him to consume too much of his energy in other places. But Junxin squandered his energy in many ways to do some research that seemed to him to be very inexplicable.

"He's still young, don't limit his talent and imagination too early, that will outweigh the losses!"

Professor Hu nodded and said, "I naturally know, otherwise I would have talked to him a long time ago." After a pause, as if remembering something, Professor Hu got up and searched for it on his desk, took out a bunch of manuscripts from it, and put them in front of Professor Wang, "This is what Hao Peng told me, and an inference put forward by this kid is a bridge between the Model conjecture and the Taniyama-Shimura conjecture, if Hao Peng hadn't told me about it, I wouldn't have known that he had done this." That's why I didn't bother with him, and I said hello to the school and let him study and research on his own. ”

Junxin didn't know how incredible it was to be able to gain so much freedom in such a well-disciplined university. If it weren't for the relationship with Professor Hu all the time, he would still have to go to class and do homework every day. At least freedom is a thought.

"Then I'll have to take a good look!" Professor Wang picked up the manuscript written by Jun Xin and read it. Soon he became addicted to it. This manuscript was written down by Hao Peng at a discussion meeting with Junxin about what he had told Professor Hu, so Junxin wrote down the rough proof process in the middle of the manuscript in a Chinese way, and there is this manuscript in Professor Wang's hand.

About an hour later, Professor Wang put down the manuscript in his hand, sighed, and did not speak. Professor Hu understood the meaning of his sigh very well, and he also came to a long sigh very cooperatively.

"His research on Fermat's theorem is already at the forefront of the world!" Professor Wang took off his glasses, "Although the Taniyama-Shimura study has not made any progress for more than 30 years, I believe he may be able to prove it." ”

"Don't put too much pressure on him! After all, he had not been exposed to the study of the direction of elliptic lines before, and his knowledge reserve was not enough to prove this theorem. ”

"Haha, I wanted to put some pressure on him just now, why is it a little reluctant now?" Professor Wang said with a smile.

"Forget it, don't talk about this, what's the matter with entering Beijing this time?" Professor Hu shook his head and ended the topic decisively.

Speaking of the topic, Professor Wang also began to get serious, and his face was a little solemn: "Last year, we fought against Vietnam, and behind Vietnam stood the one in the north, and the weapons and equipment were still not very satisfactory, and the casualties were a bit large. Although the state is ready to concentrate its efforts on developing weapons, the subordinate organs of the General Armament Department have cooperated with us to a certain extent. ”

"Oh, no wonder you didn't confess!" Professor Hu smiled. He also often participates in this kind of research collaboration, so he naturally knows the importance of confidentiality, so he didn't ask.

"Knock knock!" While the two were talking, there was a knock on the door.

"It's Xiaojun, and it's only when he knocks on the door that the sound is so loud!" Professor Hu put down the tea in his hand, explained with a smile, and then said loudly, "Come in!" ”

After playing the "Variations on Pi π", he went headlong into the math seminar class he founded. His first achievement was the creation of the geometric map theory of music. The reason why I came to Professor Hu was to report on the research work during this period. The second is to take advantage of the report work to apply for a holiday to stay in school.

"Hello Professor Hu, hello Professor Wang! Professor Wang, are you here too? ”

"Hehe, Jun, we haven't seen each other for a long time! Last time I was here, I heard you talk about the proof of the Modal conjecture, right? How's it going, have you had any recent results? ”

"Professor, you've won the prize!" Junxin said humbly, "I'm just lucky." After a pause, Junxin continued: "In terms of results, there are no results, just a few problems of blind research. ”

"Modest, huh?!" Professor Wang smiled kindly.

Professor Hu also interjected at this time and said, "Xiaojun, is there anything to do today?" ”

"Something, Professor."

"Come, don't be in a hurry, sit down and talk slowly." Professor Hu beckoned Jun Xin to sit down.

Junxin sat on the chair next to Professor Hu very familiarly, and said: "Some time ago, the institute was just successfully established, and I was responsible for basic research. However, if I studied alone, I couldn't catch it, so I learned from Hua Lao's method, set up a seminar in the form of a discussion class, and selected some relatively representative issues for research and discussion. ”

"Oh, what's the problem?"

"Now it is tentatively set to 12 problems, which are NP complete problems, Hodge conjecture, Poincaré conjecture, Riemann hypothesis, Yang-Mills equation, Navelstoke equation, BSD conjecture, Fermat's theorem and other mathematical foundation problems."

"In addition, two fundamental and frontier problems in physics, such as the Lie Qun problem and the mathematical problem in string theory, as well as two problems designed into specific branches of mathematics such as differential equations and differential geometry."

"Not a bad idea, but every question requires a lot of effort to be studied, do you have the time to do both?" Professor Wang asked.

"Naturally, there is no way, so I'm just doing the induction and mathematical frontiers of these problems at the moment. Let's start by popularizing the methods involved in these questions. For example, the proof of the weak Goldbach conjecture is involved in the Riemann conjecture, and Professor Chen Jingrun's sieve method is a method worth studying. Among the problems I have been researching recently, the sieve method has helped me a lot. ”

"If you have a plan, it's good!" Professor Hu nodded. "And what about Fermat's theorem?" Your research has reached the most critical part, why don't you continue to do so? ”

Junxin said helplessly: "Although Fermat's theorem has been simplified to the point of the Taniyama-Shimura conjecture, I can't estimate the amount of time it will take to completely prove her. ”

"Well, it looks like even you've stopped at this point!"

"If I can prove it all at once, how can this question have puzzled the mathematical community for more than 300 years?"

"Forget it, so be it." Professor Hu shook his head, "Do you have anything else?" ”

"Also, I was inspired by the music I played at the New Year's party to complete the mathematical, geometric map theory of musical chords. Now that the paper is written, take a look at the math. With that, Junxin handed his paper to Professor Hu.

Professor Hu took the paper, but put it aside and did not read it immediately. Because he saw that Junxin had other things.

Sure enough, Junxin continued: "As for the last thing, it is a private matter. ”

"Let's hear it!"

"I want to stay in school during the winter break, I wonder if it's okay?"

Professor Hu frowned and said, "Your situation is indeed a bit special, but there are more Dongzi involved in this aspect. I can't give you an answer, but I can help you speak to the management of the dormitory section. ”

"Okay!" Junxin was a little disappointed. Professor Hu can generally solve his problems with certainty, and if he shirks it, it proves that it does not work.

"Lao Hu, I have an idea, what do you think?" Professor Wang on the side said.

"What's the idea?"

"Our school's Hua Luogeng class has a tradition of attending classes during the holidays, since your foundation is so good, how about I invite you to Hua Luogeng's class to serve as a tutor during the holidays?"