"Wang, I must remind you that you only have one year in Princeton. It doesn't mean you have one year to study, half a year is already the limit. If you don't do your research within half a year..." Professor Witten pondered He said, "Then I might think that if after a year, you have to stay in Princeton, you can only start with my subject."

After finishing speaking, Professor Witten looked at Wang Yun, "Do you understand what I mean? Wang!" Professor Witten is very optimistic about Wang Yun. He thinks that Wang Yun is a genius at the beginning of this century, although he does not know if there will be anyone who surpasses Wang Yun in the future. It exists, but it cannot be denied.Wang Yun is the only student he has seen so far, the strongest and the one with the most infinite possibilities.

It was precisely because he valued Wang Yun that he didn't want Wang Yun to make more detours.As one of the pure mathematical conjectures, the Kakutani conjecture has a great influence on informatics.But this is not the field he is good at. Hilbert space needs to use quantum field theory, which is the field he is very good at. Professor Witten believes that under his guidance, even Wang Yun, who has not been exposed to quantum field theory before, can complete the phased results in the Hilbert space within half a year.

Only the staged results are needed as a thesis, and he is enough to stay in Princeton to continue his studies.

But now Wang Yun has surprised him, and really frightened him.

Kakutani conjecture is used as a graduation thesis. The graduation thesis submitted by the last person who dared to do this at Princeton University is called "Non-cooperative Games", which is the so-called non-cooperative game. This 27-page graduation thesis is also a doctoral thesis rather than an undergraduate. graduation thesis.And the person who submitted this doctoral dissertation is called John Nash. His 27-page doctoral dissertation laid the foundation for the Nobel Prize in Economics and also proposed an important theory called 'Nashequilibrium', which is economics. Nash Equilibrium.

If Wang Yun wants to submit a doctoral dissertation, he chooses Kakutani's conjecture.As a tutor, Professor Witten will definitely not say anything.Although this is not his field of expertise, as a professor of mathematical physics, Witten still allows students to study the topics they want to study.

The problem is that Kadoya's conjecture is enough to shock the world even as a doctoral dissertation, but Wang Yun never expected that Wang Yun would use it as a research topic for his undergraduate thesis.

If someone else said that, Professor Witten would only think that this person is too nonsense.

But the person who proposed this topic was Wang Yun, which forced Professor Witten to think about its feasibility.However, even if there is a one-ten-thousandth possibility, Professor Witten does not necessarily want Wang Yun to take risks.

Wang Yun was silent. Professor Witten was right.He has only one year, but if he wants to stay at Princeton, it is only feasible to graduate in one year.So the problem now is that he spent a whole year studying the Kakutani Conjecture. If he didn't research it, he didn't even have a little bit of phased results. After a year, he had no results.It's too late to turn to other directions.

If he fails to produce results within a year, I believe many Princetonians will laugh at him.He even watched him roll back from Princeton to Beijing University in China with his own eyes.

What an adventure! Professor Witten thinks so.He looked at Wang Yun who was frowning tightly and thinking, and didn't disturb him, obviously he wanted Wang Yun to figure it out for himself.

"Professor." After pondering for a long time, Wang Yun raised his head to look at Professor Witten, and said solemnly, "Thank you for your reminder."

"Wang, haven't you figured it out yet?" Professor Witten is a smart man, and he knew very well when he saw Wang Yun's face that Wang Yun didn't seem to intend to change the subject of his research.

"I still want to try." Wang Yun was silent for a while, scratching his head and said, "If I can't study the topic I have drawn up, I will feel very uncomfortable."

"Okay." Professor Witten took off his glasses helplessly, rubbed his eyebrows and said, "Wang, I only give you half a year, if you fail to make staged results within half a year, Then you can only do the Hilbert-Polya conjecture with me. Otherwise, you have to change to another mentor.”

"Thank you, Professor." Wang Yun stood up and took a deep breath. Will there be a phased result within half a year?This is something to try.Wang Yun smiled slightly and bowed slightly to Professor Witten.

Professor Witten waved his hand and said, "Okay, you can go out."

Walk out of the office and close the door by the way.Yuan Chengde rushed up and said, "How about it, is your advisor Professor Witten?"

Wang Yun rubbed his hair, "At present, it seems that Professor Witten is right."

"I'm envious." Luo Zhendong said with a sigh, "Undergraduate students only come into contact with such gods and men, unlike us, the tutor is just a teaching assistant."

"By the way, what is Professor Witten's subject?" Luo Zhendong was very curious about what the subject would be for a genius like Professor Witten.Anyway, he couldn't imagine what the subject of such a great god would be.

"Hilbert-Polya conjecture." Wang Yun smiled, "Professor Witten asked me if I would like to participate in this project as a graduation thesis."

"Such a good thing?" Yuan Chengde gasped, relying on Wang Yun's talent and the guidance of Professor Witten.I am afraid that it will not take half a year for Wang Yun to graduate and become a graduate student of Professor Witten.

"I refused." Wang Yun shrugged his shoulders, "Professor Witten gave me half a year to study my own subject. If there are no phased results, then let me study Hilbert-Poly Ya guess or change mentors."

"You're crazy." Luo Zhendong, a severe middle school patient, was surprised, "Such a good opportunity, why do you..."

"Because I have already drawn up the topic before I came here." Wang Yun touched the bridge of his nose, "Don't be so surprised, okay? Didn't you all say it? Princeton is a gathering place for monsters, and people like me must not be there. A few."

"No." Yuan Chengde said silently, "You are one of the minority. You can graduate in less than half a year with the guidance of a professor, but you want to study your own subject. No matter what school you are in, madmen like you are in the minority. Just wait, I'm sure your project and the rejection of Professor Witten's project will be all over Princeton by tomorrow evening."

"No way." Wang Yun was stunned, "Professor Witten would say this kind of thing?"

"Of course Professor Witten won't say it." Luo Zhendong patted Wang Yun's shoulder, "But Professor Witten's assistant should be in the office too?"

Wang Yun carefully recalled the scene at that time, and sure enough—he seemed to really see another young man standing in an inconspicuous corner.He was so focused on talking to Professor Witten that he forgot the existence of that young man.Could it be that—this young man will tell the story?

Forget it, take care of him.

"I said, Wang Yun." Luo Zhendong looked at Wang Yun curiously, "What is your own subject, and you don't want to cooperate with Professor Witten, and want to study your own subject."

"The Kakutani conjecture, also known as the 3n+1 conjecture." Wang Yun smiled, "It was a project that was drawn up at the Peking University Mathematics Research Center. Although I came to Princeton, I am still a researcher at the Peking University Mathematics Research Center. It might be halfway."

"You..." Luo Zhendong felt a little suffocated on the spot, and stretched out his hand to touch Wang Yun's forehead, "You don't have a fever, do you? What are you thinking? Do you really think you are Witten second? Tao second? Or Nash second?"

"No, I am me." Wang Yun didn't know whether to laugh or cry, "I just want to study a topic I'm interested in, what are you guys doing?"

"Why not, Wang Yun, do you know that you are being treated as a quasi-graduate student now? What else do you want? You don't study your tutor's subject and start a new one. Can't tell, Wang Yun, you just... ..." Luo Zhendong couldn't find any precise words to say about Wang Yun.

Wang Yun smiled, "I'm just doing random research. Anyway, Professor Witten gave me half a year. I feel that if I can't come up with phased results, I'm probably too embarrassed to continue my research."

Yuan Chengde said as he walked, "If you can come up with phased results, I think you should be able to graduate, right? After all, it is the phased results of Kakutani's conjecture. Graduation within half a year, not only us, but the entire Princeton Everyone has to blow up the pot."

"I can't say for sure." Wang Yun shook his head, what a joke, he doesn't even have a clue now.Princeton is not a pheasant school that is easy to graduate from. It is difficult to graduate from here and do further research!Wang Yun shook his head, did not continue to speak, but walked to the dormitory with his luggage.

Under the cooperation of the three, Wang Yun finally came to the dormitory with his luggage.When he opened the door, Wang Yun found that the dormitory was really a single room. Although it was a little plain, it was not bad.Putting the luggage by the door, Wang Yun took a look. There was a long table by the window.There is nothing on the table. Although a single bed is not big, it is not necessarily small.There is also a bathroom, which is enough for him to study.

Sitting on the chair, Yuan Chengde said with a smile, "This will be your dormitory from now on, it's pretty good."

"What about you? How many people live in a dormitory?" Wang Yun looked at Yuan Chengde and Luo Zhendong.

"The two of us share a dormitory." Yuan Chengde shrugged his shoulders, "I'm going to be annoyed to death with this second-degree patient every day."

"By the way, there is a class tomorrow. Will you attend it? As a student with a well-known tutor, you can study the topic directly in your dormitory or in the library, but—the exam is still required."

"However, Princeton's exams are a bit different. There is no teacher invigilating the exam." Yuan Chengde shrugged, "Students will follow the honor system, and if there is plagiarism, they will report to each other."

"By the way, when it comes to class, it is usually a large class with 100-150 people, but every week, a tutor leads a team of 10-15 people to conduct research."

"I remember that Professor Witten didn't accept other undergraduates except you. In other words, you probably need someone to research the topic independently."

"That's not a problem." Wang Yun smiled, "Then we'll see you in class tomorrow."

"OK, see you in class tomorrow."

…………

After Yuan Chengde and Luo Zhendong left, Wang Yun first sat down and rested for a while.Taking out his mobile phone, he replaced it with an American card number, and the network in the school is still good.After taking out the computer and connecting to WIFI, Wang Yun opened his mailbox.

I found out that Wang Qiuyang had sent me an email a long time ago, asking if I had arrived in the United States safely, whether I had been to Princeton, and what happened to Princeton.

Wang Yun smiled and began to reply to Wang Qiuyang's message——

The general idea is that he has just arrived in Princeton not long ago. From the atmosphere, he feels that Princeton is particularly suitable for academic research, and the environment is relatively beautiful.However, Princeton students seem to have some arrogance.He believes that if Wang Qiuyang has the opportunity in the future, he must come to Princeton for further study and research.

After replying to the message, Wang Yun stretched.He opened the word document, wondering if he should start researching the Kakutani conjecture now.

After all, there is only half a year, if there is no result within this period of time.Then this task of the system can be regarded as invalid.I don't know what the consequences will be after the mission is cancelled.It seems that the system has never mentioned this matter.He didn't ask...

Standing up, he still thought of the old place.That is to say, the library. Borrow some materials about algebraic topology and differential topology in the library. Combining with Kakutani's conjecture, there may be some clues.

When Wang Yun walked out of the dormitory, a white man approached and looked at Wang Yun.

"Hello." Wang Yun looked at the opposite person staring at him, and said a little embarrassedly, "I am the student who should live here, may I ask who you are?"

"Oh." The caucasian didn't look very old, he was slightly taller than Wang Yun, and dressed plainly, "I'm a graduate student, what about you? Also a graduate student? Which professor's graduate student?"

"Sorry." Wang Yun said with a smile, "I'm an undergraduate, but my advisor is Professor Witten."

"You? An undergraduate student?" The white man looked at Wang Yun in confusion, and suddenly realized, "So it's you."

"???" Wang Yun was taken aback by the white man's reaction, "You know me?"

"My God, brother, how could I not know you. The famous Wang gave the optimal solution of the NS equation, and Princeton's repeated invitations were all rejected by you. If Professor Witten hadn't come out personally, I'm afraid you would I won’t study at Princeton.” The white man said here, and suddenly started gossiping, “Brother, I heard that you rejected Professor Witten’s project?”

"Um..." You know it so soon?How on earth do you guys know?He just walked out of Professor Witten's office not long ago, right?The timeliness of this news is too good.

"That's right." Wang Yun nodded slightly, "I did not join Professor Witten's subject."

"I heard that your subject is the Kakutani conjecture?"

"Eh..." Wang Yun still nodded, and the white man looked at Wang Yun in surprise.

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