From small town scholar to chief scientist

Chapter 163 Perfecting Complex Analysis

Chapter 163 Perfecting Complex Analysis
Many mathematicians present looked at Zhou Yi with mixed feelings.

From the beginning of the article on the proof of Newton’s lattice point type in 567 dimensions, to the proof of Kepler’s Theorem of Changes, to the proof of Newton’s Theorem of Changes, to the proof of Hilbert’s No.18 question, and then to the proof of Bill’s Theorem of Changes ,
It only took half a year, and even some of this year's Nobel Prize winners may not be as dazzling as Zhou Yi.

Three awards a year, ICCM Mathematics Gold Award, Veblen Geometry Award, and Ramanujin Award, plus the undergraduate achievements of Zhouyi, even if Zhouyi’s achievements are not as high as Ramanujin’s at present, the future is uncertain.

Learning mathematics requires both talent and hard work. When the two are in the same person, it may be another slam winner.

However, in the eyes of some mathematicians, Ramanujan may be a traverser, and it still comes from hundreds of years later.

To Zhou Yi's surprise, Carlos came again.

But Zhou Yi thought about it again, this old professor is the chairman of IMU, and he hasn't changed his term yet, so it's normal to come here.

After all, the Ramanujan Prize is not awarded by one unit, but jointly awarded by the International Center for Theoretical Physics (ICTP), the Ministry of Science and Technology of Asan and the International Mathematical Union (IMU).

That's why it appears to have a high gold content.

After Zhou Yi walked down, various celebrations began.

"We meet again, Zhou Yi."

Carlos said with a smile.

"Hello, Professor Carlos, we meet again."

Zhou Yi also said very enthusiastically.

"Congratulations, you have three awards in half a year. If it weren't for the fact that the Cole Prize in Number Theory would have to wait two years to be awarded, I think the Federal Mathematical Society could not wait to award you a medal."

Carlos said very enthusiastically.

Zhou Yi said modestly:

"It's an exaggeration. It's just some insignificant contributions, and it can't promote the development of the mathematics world. I may be qualified to say this after I prove the ABC conjecture."

There is no LV7, and if you want to promote the development of mathematics, unless the system is very powerful.

Otherwise it will be very difficult.

With Edward Witten's physical level, the physical level is estimated to be like LV7.

The six emperors of mathematics, the mathematics level is estimated to be LV7.

But with Zhouyi's current level, it should be very vigorous to apply it.

Carlos shook his head and said:

"Solving difficult conjectures is also a manifestation of talent. Not everyone can promote the development of mathematics. Zhou and you have fallen into a misunderstanding.

Even many mathematicians who did not win the Philippine Award are proving some important conjectures and promoting the development of mathematics?

And many people are not as young as you, let alone as high as your achievements. There is a saying in China that you should not belittle yourself, not to mention Zhou's geometry and analytical method will shine. "

Zhou Yi nodded and said:
"Thank you, Professor Carlos, for your guidance."

"Haha, don't give me any pointers, I'm your most loyal fan!"

Zhou Yi: . .

This is quite embarrassing.

"We're going back to Princeton, how about you?"

"I'm going to stay for a few days and give lectures at the university here."

Carlos said.

Zhou Yi nodded and said:
"Then leave it alone."

Carlos suddenly said:
"Aren't you staying here to give lectures and promote your academic achievements or direction?"

This..

It seems to be a good choice, scientific research assistants are worth promoting here, and Zhou's Geometry has no one to contribute, and Zhou Yi is quite annoying.

Doing some lectures at Ah San's university seems to be a feasible suggestion.

"But I have no one to invite."

Zhou Yi said.

Carlos laughed:
"Leave it to me. With your current achievements, especially the winner of the Ramanujan Award, you are well-known in Asan University."

Zhou Yi nodded and said:
"Then thank you Chairman Carlos."

"Haha, okay, let's go together."

Carlos said happily.

Not long after, Zhou Yi said to his senior brother:
"Brother, should you go back later?"

Tan Mingming was very clear about his position, and said:
"it is good."

Anyway, it's a public trip, so it's just to see Ah San's prosperous university. If you want to come in the future, you have to pay for it yourself, unless Ah San's university invites him to give a report.

"See you tomorrow then."

Carlos said,
"I still have to deal with some of their officials."

"See you tomorrow."

Zhou Yi and Tan Mingming said.

Back in the hotel room, Zhou Yi opened his social platform as before, and took a photo,
[The seventh Ramanujan Award for Daxia's nationality, the dog's head dog's head, and then he will give reports at various universities in Asan.I am planning to promote research assistants in Ah San's university.The scientific research assistant Asan language has been launched, and there is no charge at present, and it is free to use.This is also one of the projects of the Alliance of Hundred Schools Outside of Literature and History, you can pay attention to it. 】

As soon as Zhouyi was posted, the comments were almost instant.

[The project of the Hundred Schools Alliance actually cooperates with scientific research assistants, is Zhou Shen's card so big?But I still don't want to play, I'm mad at you, slightly slightly. 】

[Must be the next one, I am also one of the research monks participating in the project, the function is powerful and worth downloading. 】

[Can you stop talking about this software?Zhou Shen has four awards a year, you ignore?God Zhou, I am your brainless fan.The assistant is off, the member is on, and the lucky draw calls me! 】

[The Federal Title Award of the United States, the ICCM Mathematics Gold Medal, the Veblen Prize, the highest mathematics award in geometry, the Ramanu Gold Medal, the highest mathematics award in developing countries, who else!Zhou Shen is awesome (broken sound)]

[Suck in Zhou's fairy spirit, and bless me with a few points at the end of the semester and not fail the exam. 】

Zhou Yi took a look, it seems that these are true fans, otherwise they would not reply so quickly.

Seeing that the purpose of advertising was achieved, Zhou Yi put down his mobile phone, started to take out paper and pen, and continued to think about the 3n+1 conjecture.

As for the flattery of various media, Zhou Yi is used to it. Zhou Yi feels that he is close to being known by the whole country, and only needs to prove a Goldbach conjecture.

But to prove Goldbach's conjecture, Zhou Yi felt that it would be more appropriate to prove Polignac's conjecture first.

Two conjectures, as long as one of them is proved, the other means that it will be completely solved in a short time.

Of course, this is just a guess of Zhou Yi, whether it works or not has to be practiced, and maybe the reverse may not be the case in the end.

Early the next morning, Zhou Yi followed Carlos and others to Ah San's famous schools to give reports.

The first university is the university with the highest gold content in Ah San, Ah San Academy of Sciences.

Asan College of Science is located in the southwest of Asan, in Bangalore, Karnataka. It was founded in 1979 and is one of the most prestigious institutions in Asan.

The report meeting was very successful, many masters and Ph.D. students, and even many undergraduates also came.

The number of people is very large, not less than a thousand.

Zhou Yi also took the opportunity to promote Zhou's geometry and scientific research assistants on the spot.

The achievements of the Ramanujan Prize and the Veblen Geometry Prize are enough to touch people's hearts. Most of the students on the spot downloaded it.
This made Zhou Yi very satisfied, and it was not in vain to waste the effort of the past few days. More importantly, many doctors and masters in mathematics took the initiative to ask Zhou Yi about the content of Zhou's geometry,
And it's quite deep, which surprised Zhou Yi very much. It won't be long before this group of leeks will publish papers.

Zhou Yi decided that after returning to China, he would also give lectures in famous schools across the country to promote his Zhou's geometry and scientific research assistants.

Before leaving Ugly Country, Zhou Yi was also preparing to spread a wave in Ugly Country.

As long as the people at the top start using it, the people below will definitely follow closely.

For five days in a row, the exclusive plane flew non-stop, went to a dozen universities, Zhou Yi and others left Ah San.

During this trip to India, Zhou Yi gained a lot.

Not only did he win the prize, but the scientific research assistant promoted it. He knew that Zhou's Geometry was being studied by someone. More importantly, Zhou Yi got a hint of ideas about the twin prime number conjecture through communicating with Wu Baozhu.

Although it is not used now, it does not mean that it will not be used in the future.

3N+1 conjectures that Zhouyi also has some new inspirations. I got a little inspiration during the lecture, and I returned to Princeton to communicate with experts in analytic number theory.
Maybe it will be proven.

Zhou Yi said on the plane:

"If you encounter a bottleneck, you really can't retreat to retreat. You really have to come out to find inspiration."

Carlos said:
"Didn't Wu Baozhu do the same thing back then? I thought that the basic lemma of the Langlands Program could not be proved, but it turned out to be proved. Therefore, communication is necessary, and it is also necessary not to give up."

Tan Mingming on the side also said:
"The Langlands program is a dauntingly magnificent conjecture, spanning several major fields in contemporary mathematics such as number theory, group theory, representation theory, and algebraic geometry.

Once fully demonstrated, many of the central problems in these fields will be solved.

Although most of the conjectures in the program remain unproven to this day, Arthur said that the proof of the Fundamental Lemma will be a cornerstone of the project. "

Carlos also said:

"This is also the reason why Wu Baozhu won the Philippine Award. The complete proof of the Langlands Program may still require the efforts of several generations of mathematicians. Many outstanding mathematicians in your Great Xia Kingdom are doing this, and that is Langlands himself. Doing it too."

Zhou Yi said:

"I'm also planning to go back and visit this old professor, talk to him, and see if I can gain anything."

Zhou Yi guessed that the mathematics level of this math boss might be a LV7 boss, and even if he wasn't, the lowest level would be LV6.

After all, he is the double winner of Abel Prize and Wolf Prize.

The plane was safe. After landing, Zhou Yi took the initiative to say:
"Professor Carlos, I will go back first. Many people are using my analytical method to study those famous number theory problems."

Carlos said:
"Zhou, you have to be confident, you all need to look for inspiration everywhere, so they must be.

Even if they have lived for decades and have a lot of thoughts, they may not be as fast as you. Your teacher Deligne said,
The older a mathematician is, the less imaginative he is. This is one of our old man's dilemmas.

And you have imagination, enough skills, and a suitable atmosphere. I am very optimistic about you. "

Zhou Yi said very politely:
"Thank you sir for your encouragement."

Carlos said mischievously:

"I'm your loyal fan, don't let me down as a fan."

Zhou Yi was very sure:
"It will not let you down!"

Not long after, Zhou Yi, Tan Mingming and Carlos said goodbye.

Carlos has other things to do when he goes to Ugly Country, otherwise he might go back to Europe directly.

Zhou Yi and Tan Mingming went straight to Princeton without any delay.

After returning to Princeton, Zhou Yi went to meet Milno and Deligne.

Zhou Yi was going to ask Tan Mingming about the original manuscript.

As for the original manuscript of Milnor's research on Kepler's conjecture, Zhou Yi is not going to ask for it.

This thing is too applicable, even if Milno has not proved it, it is likely to be used by Ugly Country.

Zhou Yi felt that he had to be sensible, otherwise he might not be able to return to the country.

The process of proving a conjecture will produce many new algorithms and theories. Maybe these algorithms and theories have not proved the conjectures that have been conquered in the end.

But it is no problem to use it for application.

Just do pure numbers, Hilbert's No.18 question is too practical.

So although Zhou Yi was a little embarrassed to see Deligne, he still said:
"Teacher, I want to see the original manuscripts of "Basics of Algebraic Geometry" and "Draft Program."

Deligne was not too surprised, thinking that Zhou Yi was embarrassed and would speak later, but he did not expect to speak now.

"The original manuscript of "Fundamentals of Algebraic Geometry" is basically the same as the current content. As for the original manuscript of "Draft Program", I will find it for you. I will ask my assistant to inform you in a few days."

Deligne said lightly,

"How is the research on the 3n+1 conjecture going?"

Zhou Yi said:

"There are some bottlenecks, but there are some new ideas. I want to see if I can start from the perspective of algebraic geometry, but there is little hope."

"I don't think so either."

Deligne muttered, it's strange that this can be connected.

Then Zhou Yi went to Milno's office to talk for a while,
I saw Mirno pondering for a long time before speaking:
"I think it is also a reliable way to study the 3n+1 conjecture from the complex analysis method. The 3n+1 equivalent function equation, I remember in 1998, S. Letherman, D. Schleicher and R. Wood proved:
Any whole function h(z) makes g(z)= z/2+(1-cos πz)(z+1/2)/2+1/π(1/2-cos πz) sin πz+ h(z ) sinπz satisfies: N ∈ φ(g).If you study their problems, you may be able to get a new idea. "

Zhou Yi was taken aback. He didn't expect Milnor to have studied the 3n+1 conjecture.

Seeing Zhou Yi's somewhat surprised expression, Mirno smiled and said:

"I also studied this conjecture at the beginning, and it was all the rage. I hope this suggestion can help you."

Zhou Yi said:

"Thank you teacher."

"Have you heard the legend of Ramanujan from Ah San?"

I saw Mirno suddenly asked at this moment.

Zhou Yi said:

"I've heard that he is from the future. I think it might be due to his talent, which has been exaggerated."

Mirno thought about it, and said:

"Maybe."

After talking for a while, the thoughts in Zhou Yi's mind were almost unstoppable.

I thought I still need to talk to Langlands, but now Zhou Yi thinks that it is no longer necessary.

The complex analysis method may be completely completed in one or two weeks, and then solve the 3n+1 conjecture.

And maybe he can also think about Wu Baozhu's inspiration to Zhou Yi at the same time.

After Zhou Yi explained the situation to Mirno, Deligne, and Tan Mingming, he purchased a lot of food and prepared to retreat.

As for the time to leave the level, no matter what, you have to thoroughly perfect the mathematical tool of complex analysis before you can take a break.

For seven days in a row, Zhou Yi basically never stepped out of the room. It was not until the complex analysis method was completely perfected that Zhou Yi saw the possibility of solving the 3n+1 conjecture.

Next, it is time to completely solve the 3n+1 conjecture!

PS: I have to attend a wedding for several days in a row, so I can almost write a little more the day after tomorrow. Ask for a monthly ticket.
 Recommend a book by the author of LV5, Wanding the author's book "Man Tang Hong".

  


(End of this chapter)

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