God of black technology

After leaving the dormitory, Wang Yun went straight to Professor Deligne's office.After staying in Princeton for two months, Wang Yun is still very familiar with the offices of Professor Deligne and his supervisor, Professor Witten.

Although, this is his first official visit to Professor Deligne.

Walking to the door of Professor Deligne's office, he first knocked lightly on the door.Hearing a steady voice from the office, Wang Yun opened the door and entered, "Professor Deligne."

At this time, Professor Deligne was sitting on a chair, seeming to be correcting something.He raised his head and glanced at Wang Yun, "It's you, sit down."

Walking to the chair opposite to Professor Deligne and sitting down, Professor Deligne looked a little serious, "Wang, what do you want from me? You know, what I'm studying is not algebraic topology and differential topology. Even this part, In fact, my teacher Grothendieck rarely involved."

Wang Yun was silent for a while, then took out the draft paper in his hand, "Professor, I know what you mean, but I do have a question that is not clear, and I want to ask for your opinion."

"Oh?" Professor Deligne frowned, seeming to be interested.He stretched out his hand, "Show me."

With that said, Wang Yun handed the draft paper to Professor Deligne.

Taking off the glasses, Professor Deligne looked at it for a long time before saying, "Have you tried using n-dimensional closed chain?"

"..." Why didn't I think of this question, why didn't I think of it, I didn't think of it.After being stunned for a while, Wang Yun stood up and said to Professor Deligne ecstatically, "Thank you, Professor."

"Wait." Professor Deligne smiled, "Even if you know it's an n-dimensional closed chain, do you know how to calculate it?"

ummmmm...

This is really a question of the soul!Wang Yun couldn't even answer, yes, even if he knew that an n-dimensional closed chain should be used, then what?How to do?

Professor Deligne said with a smile, "I thought you were so different from others, that's all." Shrugging his shoulders, Wang Yun didn't see that Professor Deligne was laughing at him, but rather a joke .Wang Yun scratched his head and smiled embarrassingly, but he didn't expect him to run away after listening to the beginning.

If I really went back and thought about it for a long time, but still couldn't solve it, I'm afraid I have to go to Professor Deligne again.

Holding a pen, Professor Deligne gave Wang Yun the calculation.His speed is very fast, but fortunately Wang Yun can keep up with his thinking.After Professor Deligne finished his calculation, he glanced at Wang Yun and asked, "Is it clear?"

"Understood." Wang Yun nodded, "Thank you, Professor."

Professor Deligne smiled, "I can give you a suggestion about Kakutani's conjecture. Of course, it's up to you whether you can do it or not."

"Huh?" Wang Yun looked at Professor Deligne and said nothing. He actually has no inspiration now. Although he has been studying algebraic topology and differential topology, he always has a feeling that he has no way to start.

"You can try to use differential manifolds to solve this conjecture. Of course, I don't know exactly what kind of manifolds to use. I just want to give you some advice..."

Manifold?Wang Yun was silent for a while. Professor Deligne gave him a direction. As for whether he can untie it, it is up to him.It's like, everyone knows that Goldbach's conjecture needs to use the sieve method to prove the problem of 1+1, but after centuries, no one is still able to solve it.

Another example is the Hilbert-Polya conjecture, Professor Witten's latest topic.We all know that quantum mechanics is needed to solve this conjecture.So the question is, why can't the person who proposed this proof idea solve this conjecture?Because a train of thought is just a train of thought after all, whether it can be unraveled, or people who need insights and conjectures, whether they have the ability.

Wang Yun meditated on differential manifolds in his heart, and Wang Yun was no stranger to this part.Presumably Professor Deligne did not research in this direction.Both algebraic topology and differential topology require the knowledge of modern mathematics, and Professor Deligne's teacher, as the founder of modern mathematics, if Professor Deligne develops in this direction, the Kakutani Conjecture may have been solved by the talented Professor Deligne opened.

Turn around and leave Professor Deligne's office, walk on the campus of Princeton, bathed in sunshine.If differential manifolds are used, then the question arises - how can this conjecture be solved correctly?If the homology theory of algebraic topology does not work, will differential manifolds in differential topology be successful?

His brows were tightly locked, and he kept walking forward.When he got to Fitz Randolph's gate, Wang Yun was taken aback for a moment. He didn't expect that he was about to walk out of the school gate.Turning around with a smirk, somehow, as if thinking of something.

Did you forget something?As Wang Yun walked back, he carefully recalled the conversation with Professor Deligne.

Manifolds, it must be about manifolds.When he was talking to Professor Deligne just now, he suddenly remembered a kind of differential manifold. If this kind of differential manifold is used, there may still be hope.

No, go to the library management to borrow materials.

He strode towards the library, and by chance, he met Yuan Chengde in front of the library.

Yuan Chengde sized Wang Yun up and said after a while, "What are you doing these days? I haven't seen you for almost half a month, right?"

Wang Yun smiled and said, "Recently I've been thinking about what Kakutani conjectured, and I didn't go to class."

"It's nothing." Yuan Chengde said with a relaxed face, "As long as you ask your tutor for leave, it's okay even if you don't go to class for a semester. The point is, you are mainly studying your own subject. But I suppose you can't find anything else to do but study your own subject?"

Wang Yun did not work part-time, nor did he frequent the campus.Speaking of which, it seems that this guy has been burying his head in his dormitory and calculating his Kakutani conjecture.

He smiled and said, "That's right, I've been thinking about it for more than ten days. By the way, Chengde, I'll ask you a question."

"Huh?" Yuan Chengde said with a look of surprise, "I didn't expect that you, a genius, still have something you want to ask me?"

"You're joking." He pursed his lips and thought for a while, "Which differential manifold are you most familiar with?"

"Differential manifolds?" Yuan Chengde was instantly embarrassed. He didn't know much about differential manifolds. The current course has not reached that point. Even his extracurricular understanding is very limited.One thing is that when I was borrowing books with Wang Yun in the library last month, I took a look at differential manifolds.He felt a little headache, and saw Wang Yun looking at him seriously.After Yuan Chengde thought carefully for a while, he said, "If you want to say that I still remember it, it seems that there are only complex manifolds."

"Yes, that's it!" Wang Yun's eyes lit up, and he patted Yuan Chengde's shoulder vigorously, "I finally know what to do."

With that said, Wang Yun turned around and hurried towards the dormitory.

"???" Know how?What did you do, why did you leave?What's going on with this guy, what the hell is going on? !

Sure enough, there is no normal person in Princeton.Just him, a normal guy.

Sighing, Yuan Chengde shook his head, took the materials he had borrowed, and walked towards the dormitory as well.

Back in his dormitory, Wang Yun turned on his computer excitedly, and wrote an email to his tutor Professor Witten——

The general idea is that he already has some ideas, and he will make results as soon as possible, but in this month, he may not be able to go to class on time, and he may not even be able to go to the weekend project summary.Please forgive me, Professor Witten, he needs some time to think about the Kakutani conjecture.

Professor Witten, who received the letter, smiled and shrugged his shoulders indifferently. It seems that his student already has his own opinion.Although, if he fails to prove the Kakutani conjecture within a year, it is no surprise that all Princeton teachers and students will treat him as a joke.But—it’s Princeton after all, what kind of people don’t have it, what kind of people can’t tolerate it?

After sending the text message, Wang Yun turned off the computer and completely locked himself in the room.In fact, it can’t be called a blockade. Except for necessary materials and documents, Wang Yun is either in the dormitory or in the Princeton library most of the time.

Class, what is that?Wang Yun almost forgot that he came to Princeton to take classes. He was like a sponge absorbing knowledge crazily. In the past month, he has almost read all the literature on algebraic topology and differential topology. .Occasionally consult Professor Deligne.

Finally, when Wang Yun started to write on the draft paper, he still chose to use complex manifolds as the way to solve this conjecture.

…………

Princeton in July is already scorching summer.The chirping of cicadas outside the window was disturbing. Professor Witten lived in his office thinking that he hadn't seen his students for nearly two months.

That guy has been in Princeton for more than four months and doesn't seem to be taking classes well.Moreover, the exam is about to come, and I don't know what this guy is still tossing about in his room.Although he and his students have agreed on half a year, more than four months have passed, and it will be five months soon, with only one month left.

Professor Witten does not think that Wang can really solve the Kakutani conjecture in such a short period of time.

When the assistant brought the coffee, Professor Witten asked, "Is there still no news from Wang?"

The assistant shook his head, "I heard that he doesn't seem to even go to the library recently, and has been locking himself in the dormitory all the time, and he doesn't know what he is doing? Looking at him, I think of Mr. Nash. I hope they Don’t be somewhere, have something in common.”

Professor Witten frowned slightly, but the assistant reminded him.If, just if, Wang Yun is like Professor Nash, I am afraid that Professor Witten himself will be very disappointed.

It is undeniable that Mr. Nash is extremely good, but it is precisely because Mr. Nash is so good that he suffers from schizophrenia. Except for Princeton, no school accepts Nash at all.At this time, shouldn't he pay attention to the mental state of his students?After all, this is his favorite student, not one of them.

The phone called "Dinglingling" rang, and the assistant picked up the receiver in confusion to answer it.At this point in time, logically, no one should have called Professor Witten, why a phone rang suddenly.

My God, don't let anything happen to that guy Wang.Although he didn't have much contact with Wang, he was sure that Wang was a very talented person and treated people extremely kindly.Not at all withdrawn like Mr. Nash, no way, my god it can't be.

The assistant muttered silently, picked up the phone, "Yes, I am."

"Okay, I know."

"Thank you!"

Professor Witten looked at the assistant who hung up the phone, and asked, "What's the matter?"

The assistant gasped, "My God, I can't believe it."

"Huh?" Professor Witten frowned, "What happened to make you feel so incredible. Who's calling?"

"It's... Wang's call." The assistant was silent for a moment, "He said that he had already posted the solution to Kadotani's conjecture on arXiv."

"???" Professor Witten was stunned for a while, and then said, "What did he say? Has the Kakutani conjecture been solved?"

"That's right." The assistant nodded, "I also said that I have prepared my graduation defense, which is about Kakutani's conjecture."

"I'll take a look now." Professor Witten is not familiar with differential topology, but he can still understand the basic papers after all.

Open arXiv and search for keywords.

Sure enough, the paper that Wang Yun had just posted on arXiv and passed the review had appeared in front of him.

This guy really solved the Kakutani conjecture.In less than half a year, is it too fast? Professor Witten still looks a little confused now, but he doesn't question Wang Yun's cheating.After all, Wang Yun already had some academic prestige, but in fact, he was wondering whether there would be a logical chain break in Wang Yun's intermediate steps, or whether there was any miscalculation in the middle?

Professor Witten followed Wang Yun's thinking and calculated while looking at Wang Yun's paper.Unexpectedly, this guy actually used complex manifolds to prove Kakutani's conjecture in the end.

However, whether it has been proved or not is not what Professor Witten said can count.

This requires rigorous review by the International Society of Mathematicians. If such a conjecture would take a few months at the earliest, it would not be impossible to repeatedly verify whether Wang Yun's results were correct in a year or two.

But from this paper, so far, Professor Witten has not found any mistakes.

"Professor." The assistant looked at Professor Witten and blinked, "Wang, has this guy really solved the Kakutani conjecture?"

"I'm not sure?" Professor Witten shook his head, he had only read the first few pages now.This paper is quite a lot. Professor Witten quickly browsed it, and there are about fifty pages in total.He has only read seven or eight pages now, "At least, his logic is autonomous now."

Afterwards, Professor Witten continued to read with a curious heart.

At the same time, the entire mathematics community is almost about to blow up.This guy Wang, not long after he put down the NS equation, everyone would have thought that the mathematics world would be quiet for a long time, but they didn't expect that in less than half a year, this guy dropped another blockbuster on the entire mathematics world.