Chapter 217: Thoughts

Junxin did want to take the time to meet Professor Wiles face-to-face a long time ago, and not only because Professor Wiles was his mentor in his previous life, although that was the main reason. However, there is another important reason, that is, Professor Wiles was able to do what ordinary people can't take seven years, and he alone solved the 358-year-old Fermat's Great Theorem, which made Junxin very interested in Professor Wiles.

Of course, when Junxin in the previous life worshiped Professor Wiles through Professor Witten, Professor Wiles had already solved Fermat's theorem and became famous. As a mathematician with a peaceful personality, Professor Wiles rarely recalls the relevant content about solving Fermat's theorem, and when he mentions Fermat's theorem, he only starts from the problem itself and solves a series of academic problems, and never mentions his own thoughts during the solution of Fermat's theorem. The question is more urgent, and he only uses the words of the current online reporter in the interview to prevaricate, and the real inside information is only known to him.

Therefore, Jun Xin agreed to Professor Wiles's invitation without hesitation. Of course, he also knew very well the purpose of Professor Wiles's invitation, so in the next few days, in addition to returning to his normal life, Junxin consulted a lot of information about the elliptic line in Professor Wiles's research field, as well as related questions about Fermat's theorem.

In fact, to be honest, with Junxin's current ability and knowledge accumulation, it is not impossible to prove Fermat's theorem alone, because he has read almost all the papers and theories about Fermat's theorem, and it is not impossible to complete the research of Fermat's theorem alone through reverse reasoning, but it will consume a lot of his energy.

You know, the proof of mathematics is not something that you can do just by copying other people's process, especially this kind of big, worldwide problem, if Junxin announces that he has proved this problem, then his paper review team may far exceed the upper limit of an editorial reviewer, at that time, all kinds of problems will continue to pop up, and I am afraid that Junxin himself will be tired of coping.

Don't look at the problem like he proved the modder conjecture, in fact, in the future, most mathematicians can understand the content of the modder conjecture, and in terms of the content of the papers he proves, many mathematicians can understand it, otherwise there would not be so many improved versions of the papers on the proof of moder's conjecture.

As for the problem of the four-dimensional Pangjialai conjecture, because this problem is a topological problem and is closely related to physics, Junxin has a very high attainment in topology, and the method of proof and the explanation of related problems can fully cope with the questions of mathematicians from the outside world, so Junxin is not worried about this at all.

But Fermat's theorem is different, this is a long-standing problem in the mathematical world, and countless people's eyes are staring at it, and the slightest wind and grass can immediately cause a sensation. The difficulty of the problem itself has surpassed any of the problems that Junxin has studied in the past, and even Junxin does not dare to easily move this problem before making all the preparations. In addition, although Junxin studied mathematics with Professor Wiles, algebraic geometry is not his main subject after all, but geometry is, so he does not think that he has a deep knowledge in algebraic geometry. In other words, Junxin felt that his current strength was not enough to control Fermat's theorem, and he was still in the process of accumulating knowledge to solve this problem.

This is also the reason why Junxin couldn't wait to borrow it from Professor Hu after seeing the textbook of "Principles of Algebraic Geometry" by Professor Hu. Because algebraic geometry is the key to solving Fermat's theorem for pure number theoretic problems.

However, Junxin has not thought of ways to avoid this problem, and one of the easiest ways is to cooperate with Professor Wiles, through the cooperation of two people to conduct research and knowledge accumulation. In this way, it can not only solve the problem that the proof of Fermat's theorem takes too long, but also allow Junxin to avoid some of the overwhelming professional problems that will inevitably follow.

Of course, there is another reason in the end, that is, Junxin still respects Professor Wiles from the bottom of his heart. Professor Wiles has paid unimaginable difficulties in solving the problem of Fermat's theorem, and his contribution is completely equal to his return, so although there is no such relationship in this life, Junxin does not want to steal the honor of Professor Wiles, so choosing to cooperate with Professor Wiles to complete this project will be the most ideal and most inclined plan for Junxin.

On the other hand, Professor Wiles, who received an affirmative answer, was also in a good mood. He didn't know that Junxin had calculated everything in his heart before he was ready to come, but went back to seriously prepare for this exchange.

Professor Wiles had also heard of Junxin for a long time, and first learned the name Junxin in his paper on the Modell conjecture published in the Annals of Mathematics (most mathematicians in the world, both domestic and foreign, knew Junxin through this method). Unlike many other mathematicians, Professor Wiles did not write to Junxin to discuss academic problems, but chose to find a time to find Junxin to communicate face-to-face after thoroughly researching some related problems, because this paper is in the same direction as his research, which is a problem on an elliptic line.

But that's just the initial idea. However, not long after, Princeton's Annals of Mathematics published another article by Junxin, this time which really caught Professor Wiles's attention, because this article proposed the connection between the Taniyama-Shimura conjecture in the elliptic line equation and Fermat's theorem.

Fermat's theorem was the beginning of his own path of mathematical research, but it has long been regarded as a number theory problem in the academic community. Wyer, on the other hand, studied the problem of algebraic geometry of elliptical lines, and he thought that he would never intersect with this problem in his lifetime. However, in Junxin's article, he proved with detailed calculations that the key to solving Fermat's theorem was the Taniyama-Shimura conjecture of the elliptical line.

So the idea of looking forward to face-to-face communication with Junxin grew so heavy that he almost turned down an invitation from the Institute for Advanced Study in Princeton. However, when his friend Professor Rickett told him that Junxin had been invited to Princeton as an exchange student, Professor Wiles was dismissed and agreed to Princeton's invitation, but by the time the European side was done, it was already November.

After arriving at Princeton, Professor Wiles wanted to communicate with Junxin alone many times, but he never found the time, and less than two days after arriving in Princeton, Junxin went to the University of Pennsylvania, and when he returned, he locked himself in the room and tried his best to solve the Pang Jialai conjecture, so that Professor Wiles was embarrassed to disturb him.

Finally, after waiting for half a month, Junxin finally completed the proof work, and Professor Wiles was afraid that he would not know what would happen if he waited any longer, so he simply took this opportunity to put forward the idea of wanting to communicate alone, which made Professor Wiles very happy.