"You mathematicians have a more heated discussion than we do! But is it necessary to explain so much about one question? As soon as she left Professor Hu's office, Gu Mengxue couldn't help but ask. She began to regret that she didn't listen to Junxin's words and insisted on coming to audit, but in fact it was like listening to a book from heaven.

"The development of mathematics to the present, derived from a lot of modern mathematics development more and more in-depth, the direction of research is more and more scattered, just the general direction of number theory, topology, projective geometry, ordinary differential equations, partial differential equations, non-Euclidean geometry, Riemannian geometry, abstract algebra, computational mathematics, overall science, fractal geometry, mutation theory, fuzzy mathematics, algebraic geometry, differential geometry, mathematical logic, probability and mathematical statistics, mathematical physics, functional analysis, numerical analysis and other dozens of branches."

"So no one can fully achieve great success in all areas of mathematics, so the communication between mathematicians is more focused on the thought process. Professor Hua Lao and Professor Wang asked me very few questions, and in fact, they were not necessarily advanced questions, but they were just different in their research fields and it was difficult to change their thinking. So I focused on explaining the thought process, and the results were not as important as I thought. ”

"It's so profound, it feels like you're talking like a philosopher."

"What's the matter, if you want to say that there are not no philosophers, isn't this Miss Gu next to me?"

……

The two fought all the way, but they also seemed intimate.

In Professor Hu's office, Hua Lao looked out the window a little distracted.

"Teacher, are you really going abroad?" Professor Hu asked worriedly.

"Xiaohu, even if there is no matter of Xiaojun, I will go to the United States, California has already invited me, but I have promised to do a one-year visit at the right time. It's just a year or two ahead of schedule. Hua Lao said in a calm tone.

"But your body?"

"It's okay, didn't you go to Europe last year? There were no physical problems. Hua Lao waved his hand and interrupted Professor Hu.

"Lao Hu, it's nothing, the teacher is happy!" Professor Wang has been with Hua Lao for a long time, so he naturally understands Hua Lao's thoughts.

"The solution of the Modle conjecture is a worldwide achievement, and you may not know the important meaning of the Modle conjecture when you are still young, but can you still not know? Jingrun proved 1+2 that year, and although Xiaojun's conjecture is not enough to compare with this, it is not far off. Jingrun's Goldbach conjecture, while Xiaojun's proof is Fermat's theorem, and the two are just in different directions. ”

However, talking to Jing Run, he told me that the Goldbach conjecture has reached a dead end, and that it can only be solved by finding new methods and even inventing new mathematical paradigms. I don't know about Fermat's theorem, but no one has solved it for about 350 years, so the difficulty can be imagined. In the words that Jun just answered, it was more or less proved that he seemed to have an idea about this. ”

"The teacher is talking about the Taniyama-Shimura conjecture?" Professor Wang interjected.

"Well, although there is no rigorous argument in the mathematical community to explain the direct relationship between the Taniyama-Shimura conjecture and Fermat's theorem, it seems to me that the connection between the two is one or the other!"

"I also have this idea when I go abroad this time, and there are too few people studying elliptic curves in China at present. There is almost no information about the achievements in this area, and it is possible to go to Europe to find this knowledge, but it is not good to go back to Europe as soon as you have just returned. Second, since the rise of differential geometry, the center of geometric mathematics in the world has shifted to the United States. If you want to gather this knowledge, you really have to go to the United States! ”

"The teacher hasn't made a move for a long time, hasn't he?"

"Hehe, I haven't been there for a long time, so let's take a look at my old friends this time!"

"Do you need me to come with you?"

"Hehe, no need!" Hua Lao shook his head, "I have time to take care of Xiao Jun more, his mathematical talent is very high, don't waste it." Although the Department of Mathematics is based on it, after all, it has only been rebuilt for a short time, and the accumulation of a while can't keep up, so you can take care of it a little bit, so that he can take a little less detours. ”

"Yes, I know!"

Institute of Mathematics, Institute for Advanced Study in Princeton, USA.

"Professor Faltins, Professor Philip Griffith just called and said he would be there in twenty minutes, with something important to discuss with you!" Inside Faltins' makeshift office, his teaching assistant said.

Faltins was unconscious, and continued to bury his head in the formula on the table, but his teaching assistant seemed to be familiar with the scene, and repeated it again in a loud voice.

This time Faltins raised his head, looked at his teaching assistant blankly, and asked unconsciously, "William, Griffith is coming?" ”

"Yes, Professor. Professor Griffith will be back with you in nineteen minutes and twelve seconds to discuss the matter. And the professor, my name is Dwyan, not William, thank you, Professor! ”

"Oh, I see," Faltings nodded to indicate that he already knew, "William, when Professor Griffith comes, let him in without notice!" ”

"Yes, Professor! Again, my name is Dwyan, not William," the assistant reminded again calmly, only to find that Faltins was already buried in the question on his desk.

Before Faltins could think of this question, the door was slammed open, and Faltins sighed and said without raising his head: "I said Philip, can I knock on the door next time?" ”

But Griffith paid no attention to Faltins' silent protest, and exclaimed, "Geld, you don't know what just happened, my God, if it weren't for the repeated confirmation, I would have thought it was a joke by God!" ”

This immediately aroused Faltins' curiosity: "Oh? Did something happen? ”

"Just now, Hua Guoguo sent a reply letter, agreeing to the invitation of Princeton University, and planning to visit Princeton in the near future!"

Faltins said a little impatiently, "That's it? Hua is very famous and has made many achievements, but what does this have to do with your relationship with God? And what does it have to do with you coming to me? ”

"Hua sent a paper with a reply, God, Modelle's conjecture has been cracked by Hua!" Professor Griffith doesn't seem to have seen the author at all, thinking that it was the work of Hua Lao.

Faltins jumped to his feet, snatched the manuscript from Griffith's hand, and regardless of Griffith's protests, put it on his desk, and began to study it, as for the question just now, oh damn it, who cares?

"Haha, here he uses my method, yes, the same way of thinking as me."

"Well, here he uses partial differential equations, which is a bit different from my idea, but this time he has to take a few more steps, and the idea is very novel."

“… Is it the method of geometry? Nice idea! ”

“…………”

"Gerd?" Faltins was completely immersed in the manuscript, and as a last resort, Griffith could only interrupt him, after all, he had something to do.

"He's very clear-minded, but next time you can follow the author, Philip!" Faltins reluctantly raised his head and said in a slightly stiff tone. The proof of the theorem has some ideas that enlighten the problem he is currently studying, so he is interrupted from his train of thought, and his tone is not very good.

"Isn't it Hua?" Griffith wondered.

"It's xin-jun, probably the same as Hua's student Chen back then, Chen's article back then was aimed at Goldbach's conjecture, it seems that they have been talented recently!" Faltins sighed.

"By the way, you came to me about this?"

"Of course, it's just one of them, Geld, the Princeton Institute's Annals of Mathematics is going to land on this article, and I'm going to ask you to be a reviewer. In order to show respect for China, I recommend that the review be completed as soon as possible, so be quick, I'm sorry for you during this time! ”

"My pleasure!"