"Jun, you came on time, come in!" Professor Wiles warmly greeted Junxin to the sofa leaning on the balcony, and took out his favorite Earl of England black tea to make a pot of authentic English black tea.

"Professor, you really have a good taste for tea!" Jun Xin said with a smile, Professor Wiles's favorite is black tea from England, which is already a well-known thing in the industry in later generations, but at that time, Professor Wiles's fame had already been played and he was knighted. At that time, Professor Wiles's tea was a black tea for the British royal family, and now it is not as good as the scenery in the future.

However, in general, Professor Wiles still has high requirements for the taste of black tea.

"This is the black tea I brought from England, but it's a big road product on the market, there is nothing tasteless or tasteless, just like it!" Professor Wiles shook his head and said, "But I've seen people your age like coffee a little bit more!" ”

Junxin smiled and said: "There is an ancient Chinese saying, called radish and greens, each has its own love. This sentence can also be used here, coffee or tea, each has its own love! Compared to other people my age, I just like tea more than coffee! ”

Professor Wiles smiled, but said meaningfully, "This is actually very similar to our research. We who study mathematics have a clear direction, algebra studies algebra, geometry studies geometry, and algebraic geometry and mathematical structure also have their own studies, but it is rare to see people who have studied in various fields like you. ”

Jun Xin smiled when he heard this and said, "Professor, are you saying that as long as I have a drink, I like it?" ”

"That's not it, but I think your research scope is a bit too big, the study of the Modell conjecture involves algebraic geometry and number theory, the twin prime conjecture involves the content of number theory, and the Pangjialai conjecture involves topology and geometry. In terms of these three achievements, your research scope involves basic mathematics, algebra, geometry, algebraic geometry, plus your achievements in other disciplines, so that the scope of research is indeed very large! ”

"You've won a prize!" Jun Xin smiled humbly and changed the subject: "Professor, I don't know what you came to me for today?" ”

Professor Wiles smiled and said, "You know, I only came to the Institute for Advanced Study in Princeton in mid-November, so I didn't catch up with your presentation on the Modell conjecture at Princeton, so I wanted to find an opportunity to talk to you." At the same time, I'm also interested in the inference you came up with, and I want to discuss some of the issues in private. ”

Junxin nodded, Junxin knew a lot about Professor Wiles's thoughts, so after seeing Professor Wiles's straightforwardness, Junxin didn't make any detours, and directly began to discuss related issues with Professor Wiles.

The two discussed a lot of content, but relatively speaking, the time was not very long, and it took about two hours to end the discussion on academic issues.

It is said that when Junxin and others discuss problems, it often takes a little longer, because when he and others discuss, because the way of thinking of both parties is different, it takes a little time to become familiar with each other's way of thinking. However, when I met Professor Wiles, there was no problem in this area at all, and the reason was that his own mathematical way of thinking came from Professor Wiles, so after the exchange, there were almost no obstacles, which was a great time saver.

"Jun, what do you think of Fermat's theorem?" At the end of the exchange, Professor Wiles suddenly asked.

Junxin picked up the black tea on the table, took a sip and said: "The key is that in the proof of the Taniyama-Shimura conjecture, all other conditions and the assumptions about Fermat's grand theorem have been cracked and proved. ”

"Is there any other way?" Professor Wiles asked.

After thinking about it, Junxin nodded and shook his head and said, "I think there is not much difference between having and not having it!" ”

"Oh? Let's talk about it! Professor Wiles asked.

"Professor, you must have heard about the top 10 math problems released by the Clay Institute for Mathematics not long ago, right?" After seeing Professor Wiles nod, Jun Xin continued, "Among the ten puzzles, there is a problem called the ABC conjecture, which is a conjecture that I put forward after discussing the research with Professor Chern Shiingshen, Professor Yau Chengtong and Professor Zheng Shaoyuan. In fact, proving this conjecture can also achieve the purpose of proving Fermat's theorem. But in my opinion, the difficulty of proving this problem is probably not lower than the difficulty of proving Fermat's theorem itself. ”

After Professor Wiles lowered his head and thought about it, he was helpless to find that what Junxin said was the truth. In fact, many people have thought about this problem, just after the ten problems came out, there was a special article in the newspaper that published the description of the top ten mathematical problems, Professor Wiles naturally saw the special report, in fact, after he saw the problem of the ABC conjecture, he immediately thought of the Modell conjecture, and after some research, he linked to Fermat's theorem.

At that time, he also roughly estimated the possibility of proof of the ABC conjecture, and finally believed that it was indeed not a problem that could be proved in a short period of time. Now that Junxin said this, he naturally didn't focus on this issue.

"I encountered this problem when I was very young, but then because of the different directions, I thought that I would not have the opportunity to prove it again in this life, who knew that suddenly the direction of the final proof of this problem fell in my research field, which gave my young dream a chance to become an ideal." There was silence for a moment, and Professor Wiles said suddenly.

"Professor, are you trying to prove this?" Junxin asked.

Professor Wiles did not deny it, saying: "I think a mathematician must solve a worldwide mathematical problem in his life in order to be called a mathematician." ”

Junxin did not interject, but quietly listened to Professor Wiles's words: "I want to do something meaningful, at least something meaningful to me, I don't want anything, I don't do anything, I only have to bury my head in one thing to solve a problem on my research path." Your inference has given me this opportunity. ”

"Is the professor going to do it alone?" Junxin suddenly asked.

Professor Wiles looked at Junxin's face and said, "It's going to be a huge project, maybe I need your help!" ”

Looking at Professor Wiles' sincere eyes, Jun Xin nodded slightly.