From top stream to scholar

After Yu Wanzhou hung up the phone, she began to organize her things.After finishing the subject, Yu Wanzhou collapsed on the bed and began to sleep.

The next day, Yu Wanzhou got up very early.After breakfast, I hurried to Professor Witten's office. Along the way, Princeton was very quiet, and the people coming and going were also in a hurry, probably everyone was quite busy.

This is what Yu Wanzhou likes most about Princeton University. Everyone seems to have their own things, no matter what he studies, even religion?Princeton University will also be tolerant, and Yu Wanzhou came to the door of Professor Weiteng's office.He knocked lightly on the door, then opened it.

Professor Weiteng was sitting upright in his seat, and there were several fellows who looked like graduate students staring at Yu Wanzhou curiously.

"Professor." Yu Wanzhou entered the office. Professor Wei Teng smiled and waved to Yu Wanzhou, "Yu, come and sit down."

Yu Wanzhou obediently sat on the chair, sitting face to face with Professor Wei Teng.

"What about your subject?"

Yu Wanzhou handed the printed project content to Professor Wei Teng and said, "Professor, this is my project."

As a result, Professor Wei Teng looked at the paper handed over by Yu Wanzhou for a long time, and said in surprise, "Your subject is an NP-complete problem?"

"Yes." Yu Wanzhou nodded firmly.

"This is a more complicated question about mathematics and computer science, and even information science." Professor Witten put down the paper in his hand, "I thought you would study mathematics and physics. For example, Yang Mier Stokes existence and quality gap, or Navier-Stokes existence and smoothness. I didn’t expect you to choose NP-complete problems. Many people were guessing what your next topic will be. Really Totally unexpected."

Professor Witten shook his head and said, "Since you have chosen this subject, you must have the confidence to solve it."

Yu Wanzhou thought for a while and said, "It may not be possible to untie it, but I want to try to untie it."

"It seems that you don't need to join my research group." Professor Wei Teng said relaxedly, "I originally wanted to invite you to join my research group to study M theory together."

"Professor, you know, I have some doubts about M theory. This theory is very good and very powerful. But I always feel that I am a little bit caught in the number game. Sorry, I am more straightforward. This is about academic things. Please allow me to finish." Yu Wanzhou continued, "M theory, in theory, even if it goes to the end of the universe, it is impossible to witness, let alone verify. I mean, this requires the universe to reach a limit. OK, so I don't really agree with M-theory."

Professor Weiteng smiled and listened to Yu Wanzhou's words, but the other students of Professor Weiteng's eyes widened.

This is where it starts?Is this already starting to question each other?There is still such a good show that they caught up with.Hurry up, hurry up, debate with each other, Nassau Building has been prepared for you, just wait for the two of you to go there to debate.

"I'm very glad to hear you say that." Professor Witten said, "It seems that Yu, you still know a lot about M theory."

"So, what do you think about this aspect of TQFT?"

TQFT, topological quantum field theory.It is a class of quantum field theories that compute topological invariants.Their common feature is that certain correlation functions do not depend on the measure of the background space-time manifold.Although topological quantum field theory was invented by physicists, it is also of great significance in mathematics, and is related to branches such as knot theory, 4-manifold in algebraic topology, and modulus space in algebraic geometry. ①

Edward Witten also won the Fields Medal for topological quantum field theory.

"Sorry." Yu Wanzhou said with a wry smile, "I'm not very clear about this. Maybe I can't say anything, but don't worry, I will come to debate with you after studying."

Professor Wei Teng looked at Yu Wanzhou, "Yu, I found that maybe you chose me as your professor because you wanted to debate with me."

"Maybe." Yu Wanzhou thought for a while, "Professor, if there is nothing else, then I will go to study my subject first?"

"No, Yu, there is one more thing." Professor Witten said, "Since you have received a full scholarship, as a student of Princeton University, it is necessary and responsible for you to share some obligations for your tutor, right?"

"Of course." This Yu Wanzhou knew very well that Professor Weiteng didn't use the authority of a professor to suppress others, it was completely because the full scholarship itself had to do something for the professor.For example, acting as a secretary or something, sorting out materials and so on.

But apparently Dr. Witten wouldn't let him do that.

"I have a class schedule here." Professor Wei Teng handed the paper to Yu Wanzhou, "I'm a bit late this year, the place I circled, I hope you can help me substitute for the class."

"No problem." Yu Wanzhou looked at the time on the form, and found that it was not much, that is, he needed to help Professor Weiteng take the eight or nine courses.Other courses are taught by Witten or his assistants.Logically speaking, he is Professor Witten's doctoral student and should indeed be his assistant.However, it seems that the last doctoral student did not graduate.Professor Witten did not arrange for him to do this matter.

"Apart from this matter, there is nothing else." Professor Wei Teng said, "Yu, you can study your subject, I am looking forward to it. This is a subject that can win the AM Turing Award, but unfortunately , you have won the Fields Medal in Mathematics."

Yu Wanzhou smiled and said to Professor Witten, "Then Professor, I'll go get busy first."

Standing up, Yu Wanzhou left the office and closed the door of the office by the way.

After Yu Wanzhou left, the other students stared at each other.Sure enough, the Great God's treatment was different from theirs.They really wanted to join Professor Weiteng's research group, and some of them didn't even have the opportunity to join the professor's research group.Unexpectedly, Yu Wanzhou directly said that he wanted to study a new topic, and it was still an NP-complete problem.This... is really shocking.

If they hadn't heard it with their own ears, they would have thought it was a joke.

What does their senior brother Yu Wanzhou want to do?Be a bounty hunter?Winning the Clay Institute of Mathematics, other rewards of several million dollars?So far, the millennium puzzles that have been solved include the Poincaré conjecture, the BSD conjecture and the Hodge conjecture.

The remaining conjectures include the Riemann hypothesis, Yang-Mills existence and mass gap, Navier-Stokes existence and smoothness, and NP-complete problems.If they were asked to guess what new topic Yu Wanzhou wanted to do, since Professor Witten is a professor of mathematical physics, then Yu Wanzhou's direction should be biased towards physics.

The Yang-Mills existence and quality gap and the Navier-Stokes existence and smoothness are worth doing, and they have not been solved for so many years, which is enough to prove their difficulty.

But Yu Wanzhou chose NP-complete problems related to computer science. They always felt that this guy was aiming at the AM Turing Award?

Turing is also a well-known alumnus of Princeton University. The famous father of computer is also studying for a Ph.D. at Princeton University.

There are many well-known alumni of Princeton University. In addition to Turing, there is also Wiles who solved Fermat's Last Theorem, who also graduated from Princeton University.

All in all, Princeton is indeed a star-studded school.

In the hundreds of years of this school, there have been many geniuses and various weird behaviors, which are acceptable to these Princeton students.

After all, this is a school where geniuses and madmen coexist.

As for Yu Wanzhou, it goes without saying that as a Fields Medal winner and a doctoral student at Princeton University, he will naturally receive a lot of attention.

He was already a well-known alumnus of Princeton University when he became a doctoral student at Princeton University.

And this great god who has been preaching at Princeton University for several days, who is between a genius and a lunatic, unexpectedly chose the topic of NP-complete problems. Presumably this is to spread the word, and the entire Princeton University will be crazy about it.

Although Hodge's conjecture is still being verified, there are some people on arXiv who refute Yu Wanzhou's thesis conclusively.But throughout the article, it is specious, and many professors believe that those people's criticisms are untenable.

It is very likely that Yu Wanzhou has really solved Hodge's conjecture.After this guy came to the United States, he didn't immediately go to the Cray Mathematics Institute to receive a reward of 100 million US dollars. Did he want to wait to solve all the mathematical conjectures and then receive the Cray Mathematics Institute's bonus?

In fact, everyone is more curious about whether this great god can solve the most important Riemann Hypothesis in the Millennium Prize puzzle.However, it seems that this big guy has no interest in the Riemann hypothesis.

The students burst into tears, but they joined Professor Witten's research group after a lot of hard work.

On the contrary, Yu Wanzhou directly rejected the research group and wanted to study her own research project.So here comes the question, is this big guy interested in setting up a research group, and they also want to research the topic with the big guy.

However, the entire Princeton University has been in an uproar recently, and this great god seems to want to graduate early.

I don't know if this great master will graduate early if he solves the NP complete problem.However, no one will know how long it will take to solve the NP-complete problem.

Yu Wanzhou came to the library and began to look through documents and materials, but he hadn't started writing at all.Even the literature and materials have not been fully collected, mainly because I went to travel with Jiang Yi for more than a month.At this time, Yu Wanzhou complained about Jiang Yi silently in her heart.Then, I took the documents and materials and began to look at them seriously.

For several days, Yu Wanzhou wandered between the dormitory and the library.He has never been to Professor Witten's office. If he thinks it is unnecessary, he doesn't need to bother the professor.Back in the dormitory, I looked at the class schedule, well, there is a class on topological quantum field theory tomorrow.

Perhaps, he should listen to it?

The author has something to say: ①: Excerpted from Baidu Encyclopedia Topological Quantum Field Theory