Chapter 275: Days in Princeton (13)

The discussion, which took place in the office of the Institute for Advanced Study, did not attract much attention from Junxin. The imperfection of the superstring theory model in many places is destined to take a long time to improve and change, and Junxin does not have so much time to waste on such detailed things, so after completing the first few papers on superstring theory, most of the time is spent on the general direction of superstring theory, and rarely on the details of the problem.

However, Princeton is originally full of talents, and even if there is no open-minded man like Junxin, various studies are still carried out in an orderly manner, and the results continue to appear.

But for Junxin, this is also a very good thing. Because theoretical research is different from applied research, the confidentiality is generally not so large, so the research results in this area, whether in the exchange meeting or in the summary after the meeting, will always pass or write, or oral discussion and pass through Junxin's side, which also allows him to obtain first-hand information in the first time.

The study of string theory did not involve much of his energy, but the matter of proving Fermat's theorem in a common secret that he had agreed with Professor Wiles before began to be put on the agenda by Junxin. And this matter is also the most important thing that Junxin has to arrange in the last two months of Princeton University.

The proof of Fermat's theorem caused a huge sensation in the world in later generations, and after Professor Wiles proved Fermat's theorem, he was even considered the only mathematician in the world, and his influence can be seen.

The reason why Fermat's theorem has such a huge influence is actually very simple. Most of the world's mathematical problems are actually written in a large number of mathematical languages, and ordinary people can't even decipher this mathematical problem, so naturally they don't have much interest in those problems. But this is not the case with Fermat's theorem, which is not a very esoteric proposition, and even a schoolboy can know what the meaning of this proposition is, but for three hundred and fifty years, no one has been able to prove it, which casts a fascinating and mysterious color on Fermat's theorem.

Of course, the simplicity of the question is not the main basis for judging the importance of a proposition. Take Goldbach's conjecture as an example, this is also a very simple proposition, although it has a great influence among the people, but in practice it is not as valuable as the Riemann conjecture.

Although the meaning of Goldbach's conjecture is easy to understand, in the final analysis, it is only a special case of the Riemann conjecture and does not have universal significance. The universally accepted formulas of prime numbers or descriptions of the properties of prime numbers have always focused on the Riemann conjecture.

Of course, this does not mean that Goldbach's conjecture is not important, on the contrary, it is also a very important conjecture, because the study of this conjecture is actually a study of the nature of prime numbers, and even a way to study the Riemann conjecture.

Therefore, when it comes to importance, although both are mathematical conjectures that can be understood with a little mathematical knowledge, Fermat's theorem is more important than Goldbach's conjecture, and the status of the mathematical community is also a little higher.

Regarding Fermat's theorem, Junxin dares to say that no one in the world is familiar with him. In his previous life, as a disciple of Professor Andrew Wiles, Junxin naturally spent a long time studying and repeatedly reasoning about the most important mathematical contribution as his teacher, whether it was the proof of more than 200 pages of the original manuscript or the final draft of the proof of more than 150 pages simplified, Junxin spent a long time to demonstrate. What this work has brought to him is a broad and in-depth understanding of elliptic curves and modular curves.

Now that he has been reborn, he has the opportunity to study Fermat's theorem with his former teacher, and Junxin is naturally very happy. After all, even the study of the right text is in fact not as good as the feeling of being involved in the argument of every step and every formula, and then solving the problems encountered in the process of proof. The former are merely witnesses, while the latter are participants.

In fact, in the last exchange, Professor Wiles began preparations after confirming the decision to start working with Junxin to prove Fermat's theorem.

The preparation work in the early stage is more cumbersome, and there are many things that need to be prepared and solved. And these things are not something that a student like Junxin can solve, so Junxin did not participate in the preparatory work until just before that, Professor Wiles informed him that the preliminary preparations have been completed, and the rest is to devote himself to the formal work, so Professor Wiles suggested that the two people finally take advantage of this period of time to be more leisurely, and do an in-depth exchange to determine the work of the two people.

For Professor Wiles's request, Junxin naturally agreed. In fact, even if Professor Wiles didn't say it, Junxin wanted to take advantage of this relatively quiet time to visit Professor Wiles.

Regarding the proof of Fermat's theorem, Junxin said that he was not in a hurry. Historically, it has been thirteen years since Fermat's theorem was officially cracked, and Professor Wiles spent a full seven years on proving it. Therefore, there is still a long time left for Junxin to operate.

Since his arrival at the Institute for Advanced Study in Princeton, Professor Wiles has been very low-key, often alone at home, and no one knows what he is doing except his wife.

Junxin naturally knew that he was busy with the problem of Fermat's theorem, so he was not surprised at all that Professor Wiles chose to receive him in his home.

There are some similarities with Professor Thurston, Professor Wyles prefers black tea, so naturally Junxin went to the town before coming to the door according to the Chinese tradition, bought a can of black tea with a lot of value, and then walked in the direction of Professor Wyles's home.

Professor Wiles's family lives in a small western-style building not far from the Institute for Advanced Study, a three-storey house with an attic, which is a standard architectural home in Britain and the United States, simple and practical.

And it was in this house that Professor Wiles spent seven years in that attic little by little, with a pen and countless hours and energy, to prove Fermat's theorem. In a sense, this house is also a witness to the history of mathematics.