God's Crown

Along the way to the library of Princeton University, they passed many places.When I finally arrived at the Princeton University library, the entire campus was enveloped in bright lights.With a bit of cold air, some wet lawn memories of rain-soaked stone roads, Princeton winter seems to be very cold.

Rich led the way and passed the teaching building quietly, only a few lights were still on, as if someone was doing something in the teaching building.

Finally, when they arrived at the library, it was almost eight o'clock in the evening.The entire library of Princeton University is very quiet, and the students are doing their own things.No one cares who is coming in at this moment, think about it, who cares who is coming in now?

There are so many Fields Medal and Nobel Prize winners in Princeton, maybe the old man who passed you by is the famous Fields Medal winner.

At Princeton University, the number one school in the world for mathematics, it has seen many geniuses rise and fall.

As a college student in Princeton, I still have this arrogance.Even An Yan, the genius who came from Stanford University to participate in the mathematics conference, was the same thing in the eyes of Princeton University.

Although it is very difficult to solve the twin prime number conjecture, it does not mean that no one can solve the twin prime number conjecture.What's more, he just solved the twin prime number conjecture, and made Angler's space.Other than that, there isn't much to contribute mathematically.

In physics, this guy studies high-energy physics, although unlike mathematical physics, he uses mathematical methods or even mathematical logic to study physics.But it is necessary to deal with mathematics, so his mathematics is good, in the eyes of many Princeton students, it is not worth making a fuss, and he should even be good at mathematics.It would be a strange thing if he was bad at mathematics.

"This is the library of Princeton University." Rich's voice was not loud. This is the library, and it is a place where you can't make noise.So he speaks very quietly.

Gou Liqun looked around. In fact, the library of Princeton University was similar to that of Beijing University. The only difference might be that the tables and chairs were better than those of Beijing University.Think about it too, like this private and world-class university.Naturally, the equipment is much better than public universities like Beijing University.It's just—he is really hungry now, and he hasn't eaten much all day.

If An Yan didn't want to come to the library, he should have eaten first now.Looking around, the students here were almost buried in their own things, and he didn't recognize who was who.

God knows that he is not familiar with the students of Princeton University at all. Of course, several bigwigs from Beijing University have been to Princeton University before.For example, Xu Chengyang, who received a Ph.D. from Princeton University four years ago, and Hui Zhiwei, who graduated from Princeton University with a Ph.D. and is now a lecturer at the Massachusetts Institute of Technology.

These are all great gods in the true sense, and the Princeton students in his eyes are almost all European and American, and no student with an Asian face can see it.

What else could he say, of course he couldn't say anything.If you have time to come to the library of Princeton University, you might as well go to eat.He murmured in his heart, this guy came to visit Princeton, why did he want to visit the library of Princeton University?Could it be that the library of Stanford University is not enough for him to read?

Shaking his head, suddenly, he found an Asian face in a corner.The guy frowned slightly, because he was standing too far away, so he couldn't see the man's face clearly.But based on his familiarity, if he didn't guess wrong, that person should be—the champion of this year's IMO competition, who rejected the invitation from Beijing University and came directly to Princeton University to study.

"I said." Gou Liqun finally spoke, "Is that the champion of this year's IMO competition?" Following the direction he pointed, An Yan and Rich looked over together.

Dazed for a moment, the two looked at each other.

Rich pondered and said, "That's right, he should be the champion of this year's IMO competition, the king from China. I heard before that he seems to have rejected Professor Deligne's invitation."

"Ah—" Gou Liqun gasped, Professor Deligne?Pierre Deligne?Actually rejected his invitation, and what else?What is this guy thinking?

"Wang?" An Yan raised his eyebrows and suddenly felt a little funny, "Then let's say hello to this IMO champion, Brother Qun, don't you know him?"

Gou Liqun said with a wry smile, "I know him, but I didn't expect to see him in the library. But think about it, it seems to be true. Apart from the library, there are not many places this guy can go."

After all, he is a college student, not a graduate student.If he felt that the dormitory was too noisy, the only place he could go was the library.

"Let's go, since you saw us, go up and say hello." An Yan winked at Gou Liqun. To be honest, he was quite curious about the IMO champion.Hearing from Hai and Shinya that this guy seems to be very good at mathematics, and Gou Liqun also thinks that this guy seems to have some achievements in mathematics.

For mathematics, An Yan still has some confidence.He was particularly curious about what kind of person the champion of the IMO contest was, and he came to the corner.

The champion of the IMO competition didn't seem to care at all that someone blocked the light in front of him, but quietly flipped through the documents.Holding a pen and calculating, Gou Liqun looked at his expression, sighed slightly and did not speak.He really knows the person in front of him so well, if it's not something particularly important, he might even be like An Yan, calculating forever.

If human beings can solve the problems of food, birth, old age, sickness and death, and can stay up for 24 hours, I believe that this person in front of me will really be an emotionless computing machine.When doing things with An Yan, one virtue is the kind of life-threatening.

"Ahem." Gou Liqun coughed lightly, signaling to this year's IMO champion that there was someone in front of him.

But this guy didn't even look up, and continued with his calculations.

"..." Gou Liqun spread his hands and said helplessly, "He is like this, as long as he studies, he doesn't care about other people at all..." When he said this, Gou Liqun looked at An Yan and said, "On one point, I I think he looks a lot like you."

"……"is it so serious?An Yan pulled out the chair and sat down, looked at the two of them and said, "Sit down too, in front of others' light."

Both Rich and Gou Liqun sat down, staring at the IMO champion in front of them with piercing eyes.

Especially Rich, it was the first time he had seen someone who could work so hard to the point of utter selflessness.They're right next to him, and it just doesn't make sense that this guy just keeps doing his own thing like he doesn't know anything.No matter how hard you study, you must have a self-protection mechanism.

They're all so close, doesn't this guy really know they're by his side?

If they want to take advantage of this guy, won't they be able to succeed soon?

He pondered the possibility that this is Princeton University, the law and order is still very good, and the people who can enter Princeton University are quite qualified.It's a public place again, so he won't be afraid.

Probably should be like this?He thought about it for a while, thinking that if he had something important to do, he needed to do calculations, and he might not care about the people around him.Because he knows that Princeton University is very safe.

Gou Liqun stretched his neck to see what this guy was calculating. After looking at it for a while, he whispered, "It's functional analysis, it should be the functional analysis of Anglerian space."

Both Rich and Gou Liqun focused their eyes on An Yan, and the corner of An Yan's mouth twitched, "What are you looking at me for? I didn't ask him to do functional analysis."

"It's not that you asked him to do functional analysis." Gou Liqun nodded and said, "But he is better at number theory. If it wasn't for your relationship, I don't think he would do functional analysis. Bar?"

"What do you mean?" An Yan didn't understand. Does his research on An's space have anything to do with him?

What's more, he himself is studying Angler's space. There are so many mathematicians in this world.There are not a few people who study Ang's space.It is impossible to meet a person who studies Anshi's space and say that it is because of him that he studies Anshi's space, right?

Anglerian space itself is born out of Euclidean space, just like Hilbert space.

Whether it is harmonic analysis, nonlinear partial differential equations or even algebraic topology can be applied, and can also do gauge field theory or quantum topological field theory and so on.

It's just such a thing, if he wants to study it, he can study it, it has nothing to do with him.This is obviously a basic research subject. Although he created it, others can do whatever they want.

"It's nothing, I think it's too early for him to study Angler's space." Gou Liqun took a breath and said, "Now there is no systematic literature and information on Angler's space. Generally, people who study Angler's space It’s a person of great level, for example, academician Lin Youqing is studying your space, even my professor Li Bo can’t study Anshi’s space now.”

"After all, there is no theoretical support for An's space. It's like a castle in the air." Propping his chin, Gou Liqun thought for a while and said, "Even if the castle in the air is beautiful, we can't get close without a ladder. .”

"In other words, although Angler's space is very powerful, it is also very good." Gou Liqun continued, "I am also very optimistic about Angler's space, but now I can only use Hilbert's space to prove Ann's space. My own thoughts and guidance, do you understand what I mean? We who study physics don’t dare to try it lightly. But mathematics is better, as long as it is consistent with mathematical logic, we can conduct research.”

"Understood." An Yan smiled at Gou Liqun, "You are just urging me to quickly create the theory of An's space, right?"

"Actually...theoretical issues can be put aside." The IMO champion, who was silent at first, suddenly said, "We can use Fourier series to perform transformations and calculations in Anglerian space. I am trying to use the Langlands program. , transforming algebra into number theory."

"reached a conclusion."

"Huh?" He actually spoke, so this guy could hear their conversation from beginning to end, but he didn't speak, does that mean?Rich was very shocked, thinking that this guy was immersed in his own world, but he never expected that this guy had actually been listening to them and talking to them aloud.

So had he been listening to their conversation just now?

"What conclusion." An Yan was calm and asked directly, "What conclusion did you draw?"

"The conclusion is - to do the conversion of the Langlands program in the Angle space, we can substitute the nonlinear partial differential limit equation, that is, we can also do the Yang-Mills equation."

"Gauge field theory?" An Yan smiled and stretched out her hand and said, "I am An Yan, from Yucheng, Huaguo. I heard that you are the champion of this year's IMO competition. I am actually quite curious. It is said that you are the only one this year. One person got the only perfect score."

"Hello." When he raised his head, An Yan saw that this guy's face was a bit delicate, and he tended to be pretty.He nodded at An Yan, and also extended his hand to shake An Yan's hand, "Wang Yunqi, is from Yucheng just like you."

"It's a pleasure to meet you, I'm quite envious of you."

"Why do you envy me?" Wang Yunqi raised her eyebrows and said, "You are amazing."

"Oh?" An Yan said with a smile, "It's just luck. If you want to say that you are great, the IMO champions like you are really good."

"You've already graduated from university, and it took you only two years to graduate from the University of Zurich. I'm looking forward to how long it will take you to graduate from Stanford University with a PhD."

"Maybe it's too early, I'm also researching Anshi's space recently, if you're interested—" An Yan wrote down an email address and phone number, "This is my email address and phone number, if you have any questions, you can ask me .In the part of Anshi's space, I think I'm better than you."

Wang Yunqi smiled and didn't speak, just staring at An Yan.

An Yan touched his face, and asked with some puzzlement, "Is there something on my face?"

"You are really strong. By the way, I can ask, what is the content of your academic report this time? Is it An's space or An's conjecture?"

"Dipanto's approximation equation." An Yan said with a smile, "An's conjecture is probably something I can't solve."

"Is Diupantu approaching?" Wang Yunqi raised his head and said, "If you have it, it's fine, then you will definitely attack abc."

"I'm afraid it won't work." An Yan shook his head and said, "My professor asked me to do a gauge theory, but I still have a long time to graduate."

"All in all, I am very happy to meet you today. You are very good at mathematics."

Wang Yunqi smiled, "You are also very good, but it is a pity that if I can meet you in the IMO competition, I think I will take this competition more seriously."

"Sorry, I didn't have the qualifications to participate in the provincial competition before." An Yan said with a self-deprecating smile, "This is probably the biggest difference between me and geniuses like you."

"But you solved the twin prime number conjecture, in mathematics. Whether I admit it or not. You are much better than me, and I can know you. I am also very happy. What problems do I have in the future? , I will definitely come to ask you." Wang Yunqi closed the book, holding the book, ready to stand up and walk out the door.

"I said." An Yan asked a question that he found very confusing, "Why did you reject Professor Deligne, you must know that Professor Deligne is deeply taught by Mr. Grothendieck in algebraic geometry. "

"Then why did you reject Professor Wei Teng?" Wang Yunqi asked back, "Do you think that M theory cannot be proven, so it's just a numbers game?"

"That's what Minke thinks so."

"But personally, I am not optimistic about M theory becoming the ultimate physical theory." An Yan was not surprised by Wang Yunqi's rhetorical question, but said calmly, "However, if you do not accept Professor Weiteng's invitation, It's not because of superstring theory or M-theory. It's just a personal feeling, I'm more with Stanford University, that's all."

"That's right." Wang Yunqi also said very calmly, "Professor Deligne mainly studies algebraic geometry, but I prefer mathematical physics."

"Oh?" An Yan frowned, "So you want to study with Professor Wei Teng?"

Wang Yunqi smiled, "Let's talk about it, I'm still a freshman."

"I remember, the content on your other draft paper just now is Xin Mason's conjecture?" Just when Wang Yunqi had already walked away from his position, with his back to An Yan.An Yan suddenly said, "You have proved that p=(2^k)±1."

"How do you know?" Wang Yunqi frowned and said, "You just glanced at my draft paper and knew that I had proved p=(2^k)±1? Your number theory is better than I imagined. Much better."

After speaking, Wang Yunqi left without looking back.

Rich didn't understand what the two said in Chinese, but Gou Liqun was caught between the two non-human beings and dared not say anything at all.

Of these two non-human beings, one has proved the twin prime number conjecture, and the other is working on the new Mersenne conjecture.And it has been proved that p=(2^k)±1, it can be said that there have been phased results.But this guy doesn't seem to be planning to publish it. Is it possible that he wants to publish it after he proves it?Just like An Yan, want to play a big one?

No, no, these two non-human beings made him, a doctoral student at Beijing University, ashamed.

Is this the world of learning gods?The tone of the two of them was quite flat, why did he always have the feeling that when the two met, it would be bloody and bloody, and the masters would fight each other?

The master of the god of learning is so terrifying!

"What are you still looking at? Everyone has gone back to the dormitory." An Yan stood up easily, looked in the direction Wang Yunqi left, with a smile on the corner of her mouth.This Wang Yunqi is really a very interesting guy.No, arguably the funniest guy he'd ever met.

He can clearly feel that he has strong ambitions for mathematics and physics.This kind of ambition does not mean unscrupulous ambition.Instead, I want to study mathematics and physics in depth, and I want to do more and better, and even surpass the ambitions of previous achievements.

It is a very good thing to have such ambition.

For example, if he himself did not have such ambitions, he probably would not have worked so hard to study and do research.But just met once, he can be sure that this guy is a genius.No, it can even be said to be a monster.It is a walking bug-like figure.

"You still talk about me." Gou Liqun patted An Yan's shoulder and said, "Aren't you watching all the time yourself?"

"I'm different from you." An Yan said with a smile, "I'm really curious about him, how far this guy can go."

"..." What does it mean to be different from him, it seems that he is quite unmotivated.

He is not as good as these two gods of learning, but he is also a Ph.D. from Beijing University after all.How could it be possible that you really don't have any aggressiveness?

After returning to the hotel, An Yan washed up first, then lay down on the bed and took out her phone.

After Rich sent them back to the hotel, he went back to Princeton University and told them that the academic meeting would start tomorrow.If they are free, they can go to the lecture hall and listen to other people's lectures before going to the auditorium of Princeton University.

After going to bed, An Yan took out her phone and glanced at it.It should be morning in Huaguo now, I don't know what happened to his brother Ze.Brother Ze hasn't responded to his messages recently. Fortunately, he himself has a lot of things to do, so he doesn't feel any torment.I just wonder if Brother Ze is a little too busy and doesn't have time to reply to his messages.

That's it.

…………

Back in the dormitory, Wang Yunqi looked coldly at the American student in the dormitory who was wearing headphones and wobbling like a sophomore.Putting the book aside, the roommate took off the earphones, looked at An Yan and said, "Wang, are you back so soon?"

As he said that, his hand was already holding Wang Yunqi's draft paper, "An's Space."

"Oh, I remember, you said that this is your latest goal. Are you trying to surpass him? It seems to me that you seem to admire him a little, just as I admire Professor Witten."

"I remember that Ann also seems to admire Professor Witten. I just don't understand why this guy talks about admiring Professor Witten, but he doesn't come to study at Princeton University."

The roommate seemed to be muttering alone, and didn't care whether Wang Yunqi heard what he said.

But at this time, Wang Yunqi walked out of the bathroom and said, "It's not that you have to study under the name of admiration. He is better at high-energy physics and physical chemistry. Therefore, it is understandable that he decided to go to Stanford University."

"I heard that this guy seems to have graduated from the University of Zurich in two years." The roommate frowned and thought for a while, "How long do you think it will take for him to graduate?"

"Dr. Tao spent five years, and Dr. Xu almost five years. If you want to graduate from Stanford University, unless you can win an international award, five years is definitely necessary." Wang Wang Yun Qi said calmly, "Aren't you going to continue listening to the song?"

"To be honest, I think I'm actually much better than other students."

Wang Yunqi did not speak, lying on the bed, continuing to calculate with the draft paper.

"They're having parties every day, and I don't like going to parties."

"That's because you are socially afraid." Wang Yunqi said while calculating, "You just don't know how to strike up a conversation with them. You are no different from most second-year middle school students."

"I said, Wang, you make me very worried." The roommate looked at Wang Yunqi while playing with the computer absent-mindedly, "Aside from going to the library and classrooms every day, you never stepped out of Princeton University. step."

"I'm here to study, not to travel."

"I remember that there is a saying in your country called work and rest."

"It's a pity that this sentence doesn't quite suit me." When Wang Yunqi said this, the hand that was originally calculating the formula stopped, and looked at the white wall ahead, "I saw An Yan today."

"Ann?" The roommate was stunned for a moment, but soon came back to his senses, "I remember that he was going to attend an academic report at Princeton University, so it's not surprising that you met him."

"The title of his symposium was the Dipanto approach."

"Why is he researching this thing?" the roommate said strangely, "I thought he would study further on twin prime numbers or sieves."

"It's a pity that although his research is a branch of number theory, he didn't take a step closer to the sieve method." The roommate spread his hands and said, "By the way, where have you progressed now?"

"I'm currently studying Wagstaff prime numbers." After speaking, Wang Yunqi rubbed his eyebrows and said, "There are some problems, I'm afraid it's a little difficult."

"That's okay, I know you can do it, Wang." After the roommate finished speaking, he turned down the volume a little, put on the headphones and continued listening to the song.

Wang Yunqi glanced at her roommate, and then focused on her own problem.

If this problem is not resolved, it will be difficult for him to convince himself not to think about these things.

But when he met An Yan today, he realized that An Yan was far more powerful in number theory than he had imagined.Although this guy's achievements in number theory are only the twin prime number conjecture and another number theory conjecture from the twin prime number conjecture-Ann's conjecture. "

It sounds like that's it, but I don't know until I actually get in touch with it.This guy is terrible. If this guy is studying mathematical physics or mathematics at Princeton University, I'm afraid he can already prepare his doctoral dissertation for graduation.

And I still have a long way to go, whether in mathematics or in physics research.

It may be very difficult to surpass An Yan.It was only the first time they met, and he always felt that the person in front of him was too knowledgeable, and the things he learned were too complicated.If it was him, he wasn't too sure if he could really master so much knowledge.Perhaps, it would be really impossible for me to do it myself.

After Wang Yunqi thought about it, he shook his head.This guy is so powerful that others think he is the big devil, but who knows that the real big devil is actually at Stanford University.

That guy laughed at himself for not being able to participate in the provincial competition. Who knows whether this guy doesn't want to participate or can't participate?

Reminiscent of An Yan's flat tone, well, this is the real big devil.

After being stunned for a while, he came back to his senses.Forget it, what does he want to do so much.He's just a freshman at Princeton now, and that guy's already a direct Ph.D. student at Stanford.

…………

In the morning, An Yan got up very early.Last night, he sorted out the topics of his academic report and woke up.Brother Ze from his family still hasn't sent a message. Is Brother Ze so busy recently?An Yan thought about it, after washing.He walked out of the room, facing Gou Liqun's room.

After knocking on Gou Liqun's door, Gou Liqun was still in a deep sleep at this time.

If An Yan hadn't knocked on the door of his room, he might have been able to continue sleeping.

When he opened the door drowsily, he stood in front of An Yan with a dazed expression and asked, "What's wrong with An Yan?"

"Wake up, the academic meeting is about to start." An Yan said very calmly, "If you can't arrive at the Princeton auditorium within an hour, unfortunately, you will miss the first mathematics meeting in your life. You still have half an hour, I just wait for you for half an hour."

It is naturally impossible for Rich to come to the hotel to find them today. Rich took them to visit Princeton University yesterday and then brought them to the hotel, which can be regarded as a very good job.

He's not a servant or anything like that, but he's just doing a favor by the way.

"Mist Grass!" Hearing what An Yan said, Gou Liqun remembered that he was really going to be late.After leaving the Princeton University library last night, they had a meal outside before returning to the hotel to rest.

It happened that his girlfriend was free, so he chatted with her until midnight before going to sleep.No... If An Yan hadn't called him, he probably would have missed the academic report meeting.

"Wait for me." Gou Liqun directly closed the door forcefully.

With a bang, An Yan didn't show any shock, probably Gou Liqun also knew the seriousness of this matter.

After standing outside the door and waiting for more than ten minutes, when Gou Liqun appeared in front of An Yan again, his appearance had changed.

How should I put it, I can use the adjective "human like a dog" to describe Gou Liqun.

Gou Liqun is not bad looking, and he has a hanger figure.Wearing a suit, there is still a kind of elite style.

"Let's go." Gou Liqun looked at An Yan's casual attire, "So, go to an academic conference like this?"

"Otherwise?" An Yan raised her brows, "It's not a beauty pageant, and it's not an award, so why do you dress up formally?"

"..." It makes sense, why does he have to dress so formally.

When I came to Princeton University, students walked around the campus in twos and threes.Because the mathematics conference in Princeton is open to all students except well-known scholars.

Many people walked towards the direction of the auditorium.

An Yan and Gou Liqun were no exception. When they reached the straight line to the auditorium, someone stopped them.

To be precise, someone stopped An Yan.