National Top Stream

"Okay, then I will start to explain about nonlinear partial differential equations... where a(t) is an arbitrary function Case 0: When λ=0, k≠7, then formula (0) is transformed into...here Assuming that the functions f(x) and g(t) are smooth enough with respect to x and t respectively, and f′(x)=1, if the condition is satisfied...[-]" Zhuang Weiran not only said it with his mouth, but started to write in small It was constantly written on the blackboard.

The professors next to him looked at it very seriously and nodded from time to time.

It wasn't until Zhuang Weiran finished explaining that the other professors frowned slightly and thought for a while before relaxing.

"A very good speech." Deligne nodded and said, "It's just that if I explain it to the students in this way, I'm afraid many of them won't understand it."

Feffman and Jaffe looked at each other, "The progress is too fast, we can barely keep up with your rhythm, but the students can't keep up with your rhythm, especially in extreme nonlinear partial differential equations, it is even more impossible to keep up with you." Get to your rhythm."

Zhuang Weiran was silent for a while, "It's true, my progress is really too fast."

"However, there is nothing wrong with it. It doesn't matter if you are faster in analyzing number theory. It is the most basic mathematical knowledge. If they don't understand these, then it proves that they have no talent in mathematics." Selberg said bluntly, "It's better to transfer to other subjects directly."

"Mr. Edward Witten." Zhuang Weiran suddenly thought of this legendary boss, "I heard that Mr. Witten studied history before, and then he chose physics when he was a graduate student. Received the Fields Medal."

Of course, Edward Witten has no way to compare with most of the people here in mathematics.

They belonged to first-class mathematicians. Edward Witten was barely able to enter the first-class level, but there was still a distance from the big guys here.

"Witten?" one of the professors said, "He is indeed a genius. Unfortunately, he entered the field of mathematics relatively late, not to mention his energy is devoted to theoretical physics."

"Zhuang, you don't want to study theoretical physics, do you?" Feifman suddenly came back to his senses. Zhuang Weiran is obviously gifted in number theory, but in the knowledgeable mathematical physics, what he wants to solve is a theory. physics puzzle.

"I don't have any plans yet." Zhuang Weiran smiled a little shyly, "I want to study mathematics for a while, of course the future is uncertain, maybe when I will really go to study theoretical physics study."

"At least, I think you can focus on math for now."

"Then who will continue to talk about it?" Selberg interrupted the conversation between Zhuang Weiran and Feffman. In his opinion, Zhuang Weiran is not only extremely talented in mathematics, but also not far behind in physics.

Whether he chooses to study mathematics or theoretical physics is his personal choice.Others have no reason to interfere.

“关于数论上的问题，我还想要在多说几句……根据广义euler函数φe(n)的定义有，φ2(1)=0，φ2(2)=1对于方程(1)，当y=1时，由方程(1)可得k=1，即当k=1时……有(2k-1)φ(y1)=s(38)=18，从而有2k-1=1，φ(y1)=18与2k-1=3，φ(y1)=6及2k-1=9，φ(y1)=2当2k-1=1，φ(y1)=18时，有k=1，y1=19、27、38、54，结合y=qδy1与(q，y1)=1，有y=57、114，经验算y=57、114都不是方程(1)的解……2”

Everyone listened with gusto, and the mathematicians who came to the party recently tended to discuss number theory issues.Of course, there are occasional theoretical physicists who come to visit, but most of them are listening.Number theory is a difficult point for theoretical physicists, and it is not of much use.But it’s okay to listen. Many times, theoretical physicists put forward an idea, and it is mathematicians who finally perform mathematical calculations.There are still a small number of theoretical physicists like Witten, who not only propose ideas, but also use topology to calculate the theory.

Zhuang Weiran nodded slightly as he listened. It could be seen that all the bigwigs present here have very high attainments in number theory.He restrained his mind and listened carefully to the intense discussion of these big guys.He didn't speak, and occasionally when a professor asked him, he would smile and tell his thoughts.

By the time we finished chatting here, it was already dusk outside.

Fortunately, spring is here, unlike winter, which is really annoying.Everyone left one after another, and Viscount Deligne walked to Zhuang Weiran's side and said, "Zhuang, how about a chat?"

"Okay." Zhuang Weiran readily agreed, and left Professor Feufman's house with Deligne. When he left, he also said to Professor Feufman, "Professor Feufman, see you at school tomorrow."

"Perhaps, I can see it in your class." Fei Fuman smiled and gave Zhuang Weiran a look that you understand.

Zhuang Weiran knew that Professor Feufman was probably going to listen to his lecture, and check whether his class was the same as a party by the way. The content was so fast that the students were dizzy.

After saying goodbye to Professor Feffman, Zhuang Weiran and Professor Deligne walked along the road in the small town of Princeton.

"Zhuang, when you solved the Yang-Mills existence and mass gap, especially when you made the limit nonlinear partial differential equation, it was very wonderful."

"Thank you for your compliment." Zhuang Weiran bowed slightly to show respect, and Deligne continued, "Zhuang, my teacher, I want to meet you."

"Your teacher..." Zhuang Weiran was a little astonished. If he remembered correctly, Professor Deligne's teacher should be the famous mathematics master Grothendieck, right?

"You, I'm not mistaken, that's the gentleman who has lived in seclusion for many years." Deligne said with a smile, "After reading your Yang-Mills existence and quality gap proof paper, he wanted to See what you think. Unfortunately, I have never been able to contact you, and I am teaching at Princeton University and have no time to go to Huaguo. So it took two years before I found you."

"Mr. has not been in good health." Deligne sighed, and seemed to be very worried about the health of the mathematician. "I hope you can go to Europe after attending the International Conference of Mathematicians to see Mr."

"I believe that in terms of mathematics, Mister can still give you a lot of advice." Deligne said thoughtfully, "Mister especially likes a mathematical genius like you."

"He once told me that you are a rare mathematical genius. To be honest, there are not many people who can get such praise from your husband. You are one. Perhaps Faltings is also one." Deligne shrugged his shoulders, "Zhuang, if you want to see your husband, please let me know in advance."

Without even thinking about it, Zhuang Weiran said directly, "I am willing."

Deligne smiled gratifiedly, and it could be seen that Zhuang Weiran was in awe of her husband.

"Relax." Deligne patted Zhuang Weiran on the shoulder, "Although Mr. is an old man with a weird temper, he is not bad for a genius like you. Maybe you will see The manuscript that Mister destroyed."

Grothendieck's manuscript?Zhuang Weiran once saw some on arxiv, which were very fragmentary, because Grothendieck had destroyed all his manuscripts, and all they could see were leftovers or previously published papers.Very piecemeal and disorganized.

In today's mathematics world, countless people are chasing after Grothendieck's manuscript fragments.As the founder of modern algebraic geometry, he is well-deserved as the greatest mathematician of the twentieth century, bar none.

"Whether you can see Mr.'s manuscript is a kind of fate. We Hua people believe in fate." Zhuang Weiran said with a smile, "If there is fate, we can see it. If there is no fate, then no matter how much you beg, I believe it is impossible for Mr. to reveal a word to me. Besides, I heard that Mr. destroyed those manuscripts a long time ago."

"Fate?" Deligne pondered softly, "It's a very good word, Zhuang, I look forward to your meeting with Mr. Zhuang."

"By the way, let me tell you one thing by the way. Mr. is very optimistic about you and thinks that you can become the greatest mathematician in the 21st century." Deligne paused and said solemnly, "He even thinks that you will become the greatest mathematician in the future." His achievements will surpass him."

"Ah?" These words really confused Zhuang Weiran.Are you... are you kidding, surpassing Grothendieck, the greatest mathematician?Don't be ridiculous, he doesn't even think that his academic achievements in his life can reach one-tenth of his.

"Don't underestimate yourself." Deligne said seriously, "Everyone is optimistic about you. This is pressure and motivation, isn't it? Zhuang."

"Thank you." Zhuang Weiran took a deep breath, he could feel the pressure.As for motivation, he probably really doesn't have much motivation.His biggest motivation comes from - he wants to do a good job in every topic he submits.

At least, don't be ashamed.Regardless of whether the subject is simple or complex, he wants to do it well.

This is a kind of awe and love for mathematics. Without awe, it is difficult for him to imagine what he can do.

"Zhuang, what's the matter?" Deligne asked softly when she saw that Zhuang Weiran was in a daze.

"No, nothing." Zhuang Weiran shook his head, "Thank you very much, Professor Deligne."

"It's okay, after this International Congress of Mathematicians, you can go to Europe with me."

"Okay." Zhuang Weiran let out a long sigh of relief. When he got home, he still felt a little unreal.Did he really receive a summons from the mathematician Grothendieck?

This... is really a surprise.

Regardless of whether you can see the master's manuscript or not, as long as you can talk to the master about some algebra and geometry issues, it will surely benefit him endlessly.

Just in a few months, he will go to Seoul to participate in the International Congress of Mathematicians. This kind of thing really makes him a little tricky.The main reason is whether the group of thieves will do anything. He has never paid attention to the matter of stealing people.But whether he should go to the International Congress of Mathematicians, he is still a little uncertain.

God knows, if he went to steal the country to participate in the International Congress of Mathematicians, what strange things would happen.Seeing that the group of thieves are so extreme, it is a lie to say that they are not afraid.

The "ding bell" cell phone rang.

The author has something to say: 1: Excerpted from "A Study on the Exact Solution of a Class of Nonlinear Fourth-order Partial Differential Equations" from CNKI

2: Excerpted from "The Solution of the Number Theoretic Functional Equation kφ(y)=φ2(y)+s(y8)" from CNKI,