God's Crown

"But, Professor Li Bo, this is not good. I don't think the professor asked me to go to him..." Chen Ming wanted to say something. Although he was also worried about the professor, the professor didn't say anything. And told him not to knock on the door.Chen Ming didn't want to piss off the professor at this time, he would stay with the professor for several years, so what would happen if he pissed off the professor at this time?Designation is not going to end well.

When he thought of this, he thought for a while, and then said, "How about, Professor Li Bo, let's go see Professor An tomorrow morning, as it happens that tomorrow is the last day of the conference."

Li Bo nodded in agreement, "Alright, after all, your professor hasn't come out for so many days, it's quite worrying. Next time you encounter something like this, don't be afraid to go back directly."

"Anyway, your professor can be regarded as a schoolboy, so you just let others hate you."

"My professor is also counted." Chen Ming is very clear about what a schoolboy is after staying in Beijing University for so long.But he believed that his professor was also a scholar.Maybe other people may be a scholar, but his professor will definitely not be a scholar. After all, the professor...how should I put it, the professor doesn't look like a scholar.

Just kidding, it hasn't been long since he was a professor at Princeton University.

Even in Princeton University, it can be considered that he has not gained a firm foothold, so how did he become a schoolboy?

Chen Ming couldn't figure it out, but Li Bo never wanted Chen Ming to figure it out, he just smiled and said, "If you can't figure it out, then don't think about it, all in all, your professor can indeed be called a scholar valve."

"This..." After pondering for a while, he still couldn't believe it. Can his professor be called a schoolboy?Obviously it doesn't seem to be the case.

"You will know in the future, and you may not know it now. But you will definitely know in the future, why I said that your professor is simply learning from the book."

"..." Chen Ming's throat rolled, and after listening to the whole forum in a daze, he returned to the hotel.

Looking at the door closed by the professor, he was still thinking about why the professor didn't open the door all the time. The professor must not have anything to do, he hasn't graduated yet.

Wait, even if he has no graduate professor, nothing can happen.After all, he was also his professor. If something really happened, it would be worse for them as students, wouldn't it?

Thinking of this, he actually wanted to knock on An Yan's door, but after thinking about it, the professor seemed to have his own business, so he was knocking on the door when Professor Li Bo came tomorrow morning.

When he returned to his room, he couldn't sleep. It was true that he couldn't sleep, and he didn't know why. Anyway, he couldn't sleep. He always felt that something was going to happen to the professor, and he was always worried about whether there was something wrong with the professor.I tossed and turned, but couldn't sleep.

He wanted to ask Wang Yunqi, but at this point in time, he thought Wang Yunqi would ignore him.

I took out my phone and stared at it for a while, Professor, you must not have anything to do, otherwise the students will be really miserable.He thought so in his heart, as if he was praying to heaven.But in fact, no one knew what he was thinking in his heart.

Shaking his head, he felt that he couldn't keep thinking like this, he should go to bed early.After turning off the light, he covered his head.

Gradually fell asleep, and woke up, today is the last day of the meeting.After washing up, Chen Ming walked out the door and took a look at the phone.He told Professor Li Bo yesterday what number the professor and himself lived in.But when he opened the door, he did not see Professor Li Bo.Could it be that Professor Li Bo is late?It shouldn't be, he thought in his heart, anyone might be late, but Professor Li Bo shouldn't.Besides, Professor Li Bo doesn't seem like a person who will be late.

What's more, according to Professor Li Bo, yesterday's anxious expression seemed to lie to him.

Could it be that Professor Li Bo hasn't woken up yet, and it will take a while for Professor Li Bo to come?An Yan thought for a while, then sat on the spot and waited for Professor Li Bo.

He just wanted to know when Professor Li Bo would come. He stood outside the door and waited for a long time, but he didn't see Professor Li Bo's figure. It was a lie to say that he was not nervous. After all, Professor Li Bo promised him yesterday. will come.I stood there and waited for a long time, but I didn't see Professor Li Bo coming.

He was almost like an ant on a hot pot, walking up and down on the carpet, as if something happened.

Professor Li Bo must be here soon. If Professor Li Bo is not here, what should he do if something happens to the professor?Bah, I have a crow's mouth, how could something happen to the professor.The professor is well in his room, nothing will happen.

I thought so in my heart, but the posture of wandering back and forth outside the door was seen by the security again, but since he was a guest in the opposite room, the security did not come to ask what was going on.

When Professor Li Bo arrived, he saw Chen Ming walking back and forth in front, not to mention other people, his head started to hurt.Rubbing his eyebrows, he said to Chen Ming, "I said Chen Ming, can you stop walking back and forth, it's quite annoying to watch."

"Professor..." Chen Ming came back to his senses, hurried to Professor Li Bo's side, glanced at the time and said, "You are here, I have been waiting for you here for more than an hour."

"Aren't you going to rest for a while?"

"I can't sleep." Chen Ming sighed and said, "If you don't talk about it, talk about it. Once you talk about it, I'm afraid that the professor has something to do, so I won't be able to sleep at all."

"That's fine." Professor Li Bo nodded slightly, and came to the door of An Yan's room, "Your professor lives in this room, right?"

"Yes." Chen Ming nodded emphatically, "The professor is in this room, and he hasn't come out. I'm afraid that the professor will have some accidents."

Li Bo muttered and said, "Your professor is also quite weird. You locked yourself in the door and couldn't come out after doing a project."

"The professor is afraid that others will disturb his train of thought." Chen Ming said dumbfoundedly, "But we are afraid that something will happen to the professor, but we dare not knock on the professor's door. Look..."

"Okay." With that said, Li Bo said, "I'll knock on the door." As he spoke, he knocked on the door of Anyan.

Knocked a few times, nothing seemed to respond.So he continued to knock on the door, but there was still no response, he started to knock on the door again, and said while knocking, "I said An Yan, do you have anything to do, open the door quickly."

After a long time, Professor Li Bo got tired of knocking and replaced it with Chen Ming.

"Professor An, are you okay? Professor An..." Chen Ming knocked on the door for a while, but still no one answered the door.

The two looked at each other, seeing panic and horror in their eyes, Professor Li Bo said in a deep voice, "Call the person in their guest room, and be prepared to call 120 at any time..."

As he said that, Chen Ming took out his mobile phone tremblingly, and wanted to press the 120 button to call the hospital and ask them to come and rescue him.

Unexpectedly, the door was opened, An Yan stood haggardly by the door and said, "What is it called..."

"Professor, are you okay?"

"What can I do." An Yan glanced at Chen Ming and said, "Can you stop thinking about it, what can I do."

"I'm just a little busy right now."

"An Yan, as long as you are fine." Professor Li Bo said with a smile, "Look, if something happens to you, you will have to panic your students."

An Yan looked at Chen Ming who was about to cry, "Okay, don't stand at the door, the security guards will come to ask something later, come in and talk about it."

Walking into the bedroom, the sunlight fills the whole room.The heater was blowing, Professor Li Bo dragged down his coat, and the whole room was quite tidy, that is, the desk was very messy, and the computer was placed in the middle, which seemed to be uploading something.

He asked curiously, "What are you uploading?"

"Upload the paper." An Yan sat on the chair, "Sit casually, it happens to be uploading, and there is only the last bit left."

"What paper." Li Bo said with a smile, "I heard that you came back to study Hodge's conjecture. Apart from Hodge's conjecture, you don't have other papers?" Looking at An Yan's haggard face, he said, "How long have you stayed up late?" Oh my god, it's like this now, people are different, ghosts are not ghosts, why don't you take a break."

"I'll rest after the upload is over." An Yan said with a gratified smile, "I solved Hodge's conjecture."

"What?" Professor Li Bo yelled, bouncing off the chair.His feet were off the ground, and it could be seen that he was very surprised.This solves the Hodge conjecture?No way, what is this guy doing?How did you just solve Hodge's conjecture?No way, Hodge's conjecture can be solved so easily.Why did he feel a little... How should I put it, it was a little shocking, how could anyone solve Hodge's conjecture so easily.

It hasn't been long since this guy made the phased results, and now he directly solves Hodge's conjecture?The more I thought about it, the more something went wrong, "I said, are you kidding me?"

Looking at An Yan's expression seriously, he didn't think that An Yan was joking either.

"Haven't slept for a long time, have you hallucinated?" Stretched out his hand and shook it in front of An Yan, "Okay, why don't you go to sleep first, I'm really worried that your body won't be able to bear it, so don't mess with it. What is the subject?"

"I'm not joking with you." An Yan said very formally, "I really solved Hodge's conjecture. I can tell you with certainty that I really solved it."

"Have you not slept for a few days?"

"It's not been a few days, a little more than two days. I've been writing my thesis, and I haven't had time to sleep yet."

"Then let me ask you, can you ensure the accuracy of your thesis? You haven't slept for more than two days. Have you checked your thesis?"

"I checked the calculation while I was writing the thesis. I checked the calculation once. There were no mistakes or omissions, and the mathematical conjecture was indeed solved." When he was talking about this, he pointed to the computer screen and said, "Look, isn't this just Is the upload almost finished?" An Yan smiled and said to Professor Li Bo, "Professor Li Bo, of course I know what you are worried about."

"You're afraid that I'm too sleepy and exhausted, so when I solve the problem, I just take the wrong one as the right one, right?" An Yan smiled and looked at Professor Li Bo and said, "Actually, you don't need to worry too much about this problem. , this kind of thing will not happen, because I have watched it for a long time and uploaded it after making sure that there is no problem."

"There won't be any problems."

"But...you really solved the Hodge conjecture?"

"That's right." An Yan smiled confidently, "I did solve the Hodge Conjecture, and thanks to Professor Zhu Zhenghe reminding me, otherwise it would not have been possible to make the Hodge Conjecture so quickly. "

"Hiss—" Professor Li Bo and Chen Ming took a breath at the same time. It wasn't long before Professor An Yan made the phased results, and he had already made the whole content of Hodge's conjecture.To be honest, both he and Professor Li Bo were completely shocked. Is the professor really that powerful?How long has it been so far.The Hodge conjecture has already been made, and it is scary to think about it.

An Yan turned his head to take a look, and didn't care that the two of them looked at him as if they were looking at a monster.He yawned and said, "Okay, the upload is complete... By the way, what can you do for me?"

"Professor, you are really this." Putting up his thumb, Chen Ming felt that he didn't know what to say now.The professor is really scary, so he came here suddenly.That's Hodge's conjecture. It's a Hodge's conjecture that no one has ever solved since Hodge's conjecture was announced.

There is not even a phased result, and the phased results are still solved by the professor.

But speaking of it this way, it seems to be a matter of course for the professor to solve Hodge's conjecture.After all, the professor's ability to make phased results already shows that the professor has unique insights into the Hodge conjecture, so it is not too surprising that he can solve the Hodge conjecture.

After An Yan saw that the computer had finished uploading the data, he saw the two people saying, "By the way, what are you guys doing here?"

"See if you're still panting." Professor Li Bo said angrily, "You bastard, what should I say about you? Chen Ming is worried about you, and it's hard to knock on your door, so let me come and see you. "

"Oh." An Yan nodded and said, "Since people have seen it, and I have seen what I made, can you go out now? I am a little tired, I guess I need to rest for a while."

"That..." Chen Ming said cautiously, "Professor, today is the last day, and I have to leave the hotel tomorrow."

An Yan nodded slightly and said, "That's right."

"Professor, tell me." Chen Ming was really worried that the professor would be angry. After all, the professor looked haggard now, and he seemed to have a bad temper.If you annoy the professor, it's really not worth the candle.So he lowered his head slightly, and didn't dare to look at the professor, so he could only blink his eyes.

"Okay." An Yan said calmly to Chen Ming, "I see, you guys go out first, I'm dying, let me sleep for a while."

"Professor, let's go out first." Chen Ming opened the door, left the room with Professor Li Bo, and closed the door by the way.

Walking outside the door, Professor Li Bo pondered and said, "Do you think it is possible for your professor to have solved Hodge's conjecture, or he was too sleepy, so he misread it?"

"I don't know, but the professor should have posted it on arXiv." Chen Ming murmured, "Why don't you go to arXiv and have a look?"

"That's right, I'll leave it to you to check the calculations." Li Bo patted Chen Ming on the shoulder, "I'm a professor of physics and I won't join in the fun, but you math and physics people can still Let's join in the excitement."

Chen Ming didn't know whether to laugh or cry. Professor Li Bo said what he said, as if he was a math and physics guy.

"Okay, since your professor has nothing to do, I'll go first." When he said this, he continued to say, "But solving Hodge's conjecture is indeed an explosive news. If it can be confirmed, he The Hodge conjecture he made is correct, so he will definitely be able to get the Fields Award next year. If conjectures of such difficulty as solving two Millennium Prize puzzles in a row cannot win the Fields Award, I will It’s really hard to imagine anyone getting a Fields Medal.”

"Hey." Chen Ming looked at Professor Li Bo's fading appearance, and thought for a while, if the professor won the Fields Medal.Then isn't he a student of the Philippine award boss?There are not many Filipino award masters who are professors in colleges and universities, and many of them are professors who are no longer accepting students and concentrate on their own research.

And if it is a professor who wins the Fields Medal, the meaning is different.

The professor will only be 22 years old next year. No, the professor will not be 22 years old in June next year.According to the professor's date of birth, the professor's birthday is NO.12 in July.In other words, the professor was only 20 years old when he was a professor at Princeton University.

And if he can win the Fields Medal next year, he will only be 21 years old.To be able to win a Fields Medal at this age—isn't that the youngest Fields Medal winner in history, and the first Fields Medal winner of Chinese nationality.The academic reputation in China must be in full swing.Perhaps abroad, the professor is just a top mathematician and physicist, but in China.

As long as he said that he was studying for a Ph.D. under the name of a professor, he believed that many problems could be easily solved.

It seems that the national treasure-level scholars abroad are the same. For example, if you are a student of Sir Michael Atiyah, as long as you say a word in England, I believe that the entire British academic community will come to please you.

In fact, there is no difference between the academic circle and other circles. If there is any difference, it is probably because the starting point and ceiling of the academic circle are relatively good.Many people have no access to it, but to put it bluntly, scholars are people too.It is also necessary to do what ordinary people do, so in many cases, there is no difference between scholars and ordinary people.

Just like the current Chen Ming, he is very happy.Because if the professor can really win the Fields Medal, it will definitely benefit him a lot when he returns to China in the future.

He is simply ecstatic now, that's right, apart from being ecstatic, he can no longer use any words to explain Chen Ming's current mood.When Professor Zhu Zhenghe asked him to study with Professor An Yan.He hesitated for a long time. Although he finally submitted his resume, he didn't hold out much hope.

One is because Professor An Yan is indeed very strict in selecting students, so strict that he feels a little perverted.But he didn't expect that a reward would be offered for him so as not to die.The second is that although Professor An said that he is one of the most popular candidates for the Fields Award next year, the actual situation is that IMU has not announced the candidates at all, let alone that Professor An will definitely win the Fields Award.This is like a vision of Huaguo academic circles.

The probability that Professor An can win the Fields Medal is only [-]-[-], although Professor An Yan has indeed solved the BSD conjecture.However, there have been results of the weak BSD conjecture before, and Professor An Yan just solved the BSD conjecture through calculations based on the previous results.

Although IMU will face up to Professor An's achievements, it may not necessarily award the Fields Medal to Professor An.

But Professor An unraveled Hodge's conjecture, a conjecture that has never been achieved in stages.Then the level is completely different.In other words, Professor An may have been an international first-class professor before, but after Professor An's Hodge conjecture was proved to be true, Professor An has become one of the top mathematicians in the world.

Not every Fields Medal winner will become the top mathematician. In the global mathematics community, there are only a few who can become the top mathematician.Each of them is almost in their own field, almost a master.

And Professor An unraveled Hodge's conjecture, that is to say, he already had a great achievement in algebraic varieties.Become a top scholar, then it is not surprising or strange at all.

Chen Ming happily returned to his room. An Yan couldn't control whether Professor Li Bo was very surprised or whether Chen Ming was really shocked.He has only one thought now - sleep!He has not closed his eyes for several days, and he has no other thoughts at all other than sleeping.

Lying on the bed, he fell asleep as soon as he touched the pillow.

He was still in a deep sleep, so he didn't bother to care about what other people were thinking, did it have anything to do with him?

After Chen Ming returned to his room, he decided to share the news with his brothers and sisters.After all, this can be said to be great news.No matter what his younger brothers and sisters thought - he had to tell them the news.

For Chen Ming, this is not only good news.It was a news that surprised everyone. Who would not be surprised after hearing this news, think about it.Who would have expected the professor to make Hodge's conjecture so quickly—he originally thought that the professor was just doing some research.It never occurred to the professor that he would actually research Hodge's conjecture.

After pulling out his chair and sitting down, he couldn't wait to share the news with his younger brothers and sisters.

For Chen Ming, this is good news.It is also good news for other juniors and juniors.After all, after the professor's topic is solved, he will start to determine a new topic. Maybe this time the new topic will allow them to participate.

[Chen Ming: Let me tell you a piece of news...

Wang Yunqi: Tell me, what news?

Han Qiu: ? ? ?

Chen Ming: You haven't slept yet?

Han Qiu: We are discussing, He Yang has fallen asleep, as for Mia has no prestige...

Chen Ming: I have to tell you a piece of news, and this news is good news for all of us Wang Yunqi: Tell me quickly, what is the news, if you don’t tell me, we have to go back to sleep .

Chen Ming: The professor has solved the Hodge conjecture, and the paper has been published on arXiv...

Wang Yunqi:? ? ?you sure? ? ?

Han Qiu: ? ? ?

Chen Ming: Go to arXiv and search for keywords. I saw that the professor uploaded the paper.

Wang Yunqi: Wait]

After seeing the message, Han Qiu and Wang Yunqi looked at each other, and they both saw shock and surprise in their eyes.The professor solved the subject so quickly?It's still Hodge's guess, no, it's impossible.Solved so quickly As if they hadn't started working on their own projects, the professor solved another mathematical conjecture.

The speed of the professor is really...too fast, so fast that they don't even know what to say.No, they can't even say anything, they can only say one thing - the professor is awesome!

He Yang next to him was sleeping on his desk, but Mia noticed the different expressions of Han Qiu and Wang Yunqi.

Frowning, she asked, "What's the matter? What's your expression?"

"I heard from Senior Brother Chen Ming...Professor An has solved Hodge's conjecture." Wang Yunqi opened his eyes wide, "Senior Sister Mia, it happens that you have a computer, why don't you turn on the computer and log on to arXiv to have a look?"

"Really?" Mia said in disbelief, "Isn't it not long before the professor made the phased results? He has already solved Hodge's conjecture?"

After opening arXiv, Mia searched for keywords.

Sure enough, the author of the first paper that jumped out was signed by AnYan.Isn't that the professor's name?After opening it, they saw that the title of the paper was a proof of Hodge's conjecture.

The topic is clear at a glance, and the number of views is not too much.Probably because it is already late at night here, not many people browse arXiv.Not many people want to read the arXiv website when they get off work and take a rest.Generally speaking, scholars abroad, especially in Europe and the United States, separate life after get off work from life at work.Unless it's for a project, sometimes I log in to arXiv at night, but An Yan's papers have not been viewed by anyone.

Because it is too late, and the people who are doing the subject now are not necessarily doing algebraic varieties.

Even people who do algebraic varieties can't come to search for Hodge's conjecture.Hodge guessed that there are not many people in the world who can do this project, not to mention that An Yan has made phased results.

Of course, anyone can directly quote the phased results of this basic science, and even continue to do it.

For example-

In the Max Planck Institute of Mathematics, two senior researchers are analyzing the phased results of Hodge's conjecture.They want to continue to make Hodge's conjecture, according to their ideas.An Yan should not be able to make Hodge's conjecture for at least the last two years.

After reading this paper on Hodge's conjecture, An Yan is indeed very good at algebraic varieties, but he is far from solving Hodge's conjecture.

They had a chance to solve Hodge's conjecture before Anyan.

After discussing it, the two of them submitted the subject to the paper and began to study it.

This is actually a very attractive topic, which contains a lot of knowledge points in mathematics and physics. Even after unraveling Hodge's conjecture, a lot of theoretical knowledge can be applied to physics.It has played a certain positive role in physics, although it is still far away from winning the Nobel Prize.

But being able to solve the Hodge conjecture means that they can push the Hodge theory to a new peak, and they may get a glimpse of the essence of GUT from the Hodge theory.

They attach great importance to this cooperation. Both of them are quasi-Fields Medal scholars. Although they have passed the age of receiving the Fields Medal, it is impossible to win the Fields Medal.But they can look forward to the Abel Prize or the Wolf Prize in Mathematics, or even the Craford Prize in Mathematics.

The two have been researching for a while, and during the research process, they are also thinking.If they were An Yan, how would they continue to explore the Hodge conjecture following the phased results?

"I said old man, this seems a bit too difficult." One of the researchers frowned, put down the pen in his hand, picked up the coffee placed next to him, took a sip and said, "It's really too difficult." It's out of line."

"How to say?"

"I want to keep counting, and we will fall into an infinite loop of dead ends." The researcher who spoke still frowned and did not speak. It can be seen that he seems a little optimistic about An Yan's phased results.

"I think, maybe we should use another method or try another method to solve Hodge's conjecture. If we continue to follow Ann's train of thought, we will not be able to solve Hodge's conjecture." When talking about this, the researcher He also took a serious look at the paper, and continued, "Didn't Ann see his problem? Or, he knew his problem, but he didn't know how to proceed."

"Probably, even the two of us don't seem to know how to solve this problem. To be honest, I think this is a worldwide problem. Whether you admit it or not, this is the world. Sexual conundrum, isn't it?"

"That's true. We still have to discuss it and come up with a perfect way to make this conjecture."

"Perhaps, we can introduce number theory into algebraic varieties, let's see if there will be some changes, or get the results we want?"

"Let me think about it again. We don't have to use number theory. I think that even if we use differential manifolds, it may be a way out, but it must not be like Ann."

"Then—" the researcher raised his brows, "let's try to do it first."

"Okay." The two started to do things that combined differential manifolds and number theory with algebraic varieties.Until the evening, when I returned home, I was going to continue to do things about differential manifolds and number theory after I arrived in the laboratory the next day.Hodge's conjecture can't be made in a day or two. They have a good mentality. If they can't make it, then they will admit it.

After all, An Yan researched it much earlier than them, and they had no idea before.If it weren't for An Yan's phased paper, they would never have thought of doing this Hodge conjecture.Although they are all experts in the study of algebraic varieties, it is obvious that An Yan's attainments in algebraic varieties are indeed much higher than theirs.

They even suspected that An Yan might have solved Hodge's conjecture when they made some results.

However, even so, they want to try it.Maybe you can solve the algebraic variety before the banquet?No one can say these things.

But they never imagined that An Yan had already solved the Hodge conjecture and uploaded it to the arXiv website when they were talking.Before they went home, they did not use arXiv to search for keywords. Who would have thought that An Yan would solve the Hodge conjecture within two or three months of making phased results.

Who would have thought that when An Yan attended the ICTP meeting, he went to work on his own project, and even solved his own project.Thinking about it, I feel that this is an unlikely thing.But in fact, An Yan not only did it, but also did it very well.

The next day, two researchers came to the laboratory, wanting to continue to make the Hodge conjecture.

They still haven't searched for keywords, which must be something no one can't fill in.They studied and discussed seriously.

Suddenly someone pushed the door and entered, and saw it coming.

Both of them frowned and said, "Mr. Andre, you are so unreasonable."

Andre looked at the two and smiled, "I'm afraid you don't know yet?"

"what do you know?"

"There was a paper about Ann on arXiv yesterday, didn't you search for keywords?" Andre suddenly said with a smile, "That's right, in this case, it is impossible for anyone to search for keywords. In fact, An Truly a genius."

"Mr. Andre, of course we know that An is a genius. So what? We are researching. If you have anything, please tell us directly." After one of the researchers finished speaking, he paused.He said in a cadence again, "You came in so unclearly and said some inexplicable things to us, please forgive me, Mr. Andre, it is difficult for us to have a good impression of you. Or, we will use the same unreasonable words Yours in return, Monsieur Andrey."

"Old man, to be honest, don't be too nervous." When he said this, Andre smiled and continued, "To be honest, Ann was so sudden that none of us could have imagined it."

What nonsense is this talking about? Does what they study have anything to do with Ann?Could it be that Ann knew that they were studying Hodge's conjecture?Even if An knows that, so what, anyone can study basic science, and it is impossible for An to do research, so they will stop doing it.Is this plausible?Ann hasn't reached this height yet. What he wants to study is not allowed to continue to study.

Even the most authoritative person in the field of mathematics cannot prevent others from studying the same things as him.

So the two of them were very puzzled by Andre's words.They even suspected that this guy was here to sow discord between them and An. At the Max-Planck Institute of Mathematics, almost all senior researchers had met An.

He has been at the Max-Planck Institute of Mathematics for several months, and of course everyone has known and seen him.

In addition, An still holds a seat at the Max-Planck Institute of Mathematics, but he has never stayed at the Max-Planck Institute of Mathematics, that's all.

Andre took off the felt hat on his head, bowed slightly, and said to the two researchers, "Gentlemen, I'm sorry, but I have to explain to you that I'm not here because I want to Sow discord between the two of you and Ann."

"But as far as the facts are concerned, Ann --- solved the Hodge conjecture. The research of the two seems to be in vain, doesn't it?"

"This..." The two looked at each other, turned around, looked at Andre again and said, "You mean, Ann has already solved Hodge's conjecture?"

"That's right, he just published it on arXiv yesterday as a backup. According to his habit, the phone should be silent now, and the two of you should not be able to find him. I believe that this paper has already been published on arXiv."

"This..." The two looked at each other hesitantly before saying, "Are you telling the truth?"

"Of course it's true. If you two don't believe it, you can use arXiv to search it. I believe you will see the paper published by Ann."

"It's a very wonderful paper, and I still don't quite understand it." After Andre finished speaking, he said with a smile, "I thought you two had already read the whole paper. I didn't expect you two haven't finished it yet." Papers, that would be disrespectful.”

"Huh!" One of the researchers snorted coldly, staring at Andre who looked up.