God's Crown

"Your paper..." Faltings frowned slightly, "Has it been published on arXiv?"

"Not yet." An Yan said respectfully, "You know a lot more about Abelian clusters than I do. I don't know whether I have solved the BSD conjecture, if not... But publishing it on arXiv may Somewhat irresponsible."

Faltins froze for a moment, then looked at An Yan.

I was speechless for a long time and wanted to say something.But it seemed that nothing could be said, as if something was stuck in his throat, and he opened his mouth several times.In the end, he didn't say anything and looked at An Yan.

He laughed, "You dare to show me a paper that is not published on arXiv? Are you not afraid that I will do something to this paper? Or... you are not afraid that you really checked the calculation correctly, but I published this paper ?"

"I believe that Mr. Faltings will not be such a person." An Yan said politely, "As far as I know, Mr. Faltings, you cannot be such a person."

Regarding Faltings, An Yan once saw such a thing——

Mr. Zhang Shouwu, a Chinese scholar, studied under Mr. Faltings, and when Mr. Zhang Shouwu asked him if he could give himself a math problem, he replied, "I have done all the simple problems, and the rest are Particularly difficult ones, such as the Riemann Hypothesis."

Mr. Zhang Shouwu also said that Faltings gave a lecture on a paper by a French mathematician Bismut in class. "These articles are very long, basically 200 to 300 pages, and it is difficult to read, but Faltins has such an ability. After he reads the preface, he has a way to make everything that others have been doing for many years. Come out. I don’t think I have the ability.”①

It can be seen from these small details that Faltins will never be the kind of person who will take other people's papers as his own.What's more, for this proud great god, he would absolutely not be able to do such a despicable thing.

"You understand?" Faltins smiled, this was the first time he smiled very kindly at An Yan.

"Ann, no matter what the final result will be, I believe you are one of the most talented mathematicians I have ever seen." Faltins said very solemnly, "BSD conjecture has a great impact on the relationship between the arithmetic and analytical properties of Abelian varieties. The connection between them is so close that even the most talented mathematician I have ever seen would not have achieved results in such a short period of time."

"I can tell you without hesitation that I doubt your thesis." Faltings said seriously, "Because even I can't calculate the BSD conjecture in such a short period of time, let alone you know, The description of the BSD conjecture is very dependent on Modal's theorem."

"That's right, I got some inspiration just because I saw the solution to your Modal conjecture."

Faltings did not speak, opened the paper and began to read it.From the beginning of this thesis, the calculation formula he conjectured in Modal was what caught his eye, and he was right.He has indeed read many times the literature and materials on his solution to the Modal conjecture, and he has to admit that this is one of the most malleable and talented young mathematicians he has ever seen.It seems that he is better than many mathematicians.

Especially on Abelian clusters.

He couldn't find the precise words to describe the young mathematician in front of him, is he a genius?No, he was even more genius than genius.Just a few pages of papers made Faltings' relaxed expression serious.

Usually, when he reads a paper, he only needs to read the first few pages, and he can almost guess all the papers, and he can make the same paper without reading the second half.But in An Yan's thesis, the thinking is too wild and unconstrained.It was even hard for him to imagine what surprising discoveries would come later.

"I think, I may need to check the calculation." Faltings put down the paper and said to An Yan, "Ann, I may not be able to give you an accurate answer to your paper for a period of time. If... I am Said that if you can't wait, you can go back to Stanford first, and I can contact you by email."

"Perhaps, I mean, if you want to stay, I can arrange a seat for you here, or - hold an academic report, what do you think?"

"Eh?" An Yan was stunned for a moment. He came to visit Faltings precisely because he didn't know whether this paper could really solve the BSD conjecture.But is it too much for him to hold an academic report?If an academic report can be held to solve this problem, it seems that he doesn't need to visit Faltings anymore, right?

Looking at An Yan's embarrassed face, Faltings said with a smile, "It seems that you don't really want to hold an academic report."

"Well then." Faltins thought for a while and said, "I will arrange a seat for you at the Max Planck Institute of Mathematics. I think you should be able to stay here for a while?"

"Your professor is Hudson, right?" Faltings frowned and said, "I will write him an email and tell him that you need to stay here for a while, and after I finish the calculation, You can choose to hold a symposium at Stanford or on-site, which is a great way to let others know that you have made a BSD conjecture."

"However, the premise is that you really made a BSD conjecture." After Faltins finished speaking, he looked at An Yan and asked, "Ann, what do you think?"

"A seat at the Max Planck Institute of Mathematics?" An Yan was still a little surprised. You know, what does Max Planck represent?The target was a unit like the Huaguo Academy of Sciences. Thinking about it, An Yan felt a little unreal.

"That's right, a seat at the Max Planck Institute of Mathematics." Faltins raised his eyebrows and said, "It's impossible to enter the Max Planck Institute of Mathematics as a visitor every day, right?"

"..." That's true, one or two days is fine, but if Mr. Faltings needs to check it, it will take one or two months or even more time.Maybe he really needs a seat at the Max Planck Institute of Mathematics, but is the seat at the Max Planck Institute of Mathematics so good?How do you feel... To Mr. Faltins, this thing seems to be wholesale, and you can give it to whoever you want?

That was the seat that many people dreamed of for Mapu...

"It's a great honor." An Yan said softly, "But, is it really possible?"

"Of course." Faltings said with a sly smile, "You are very welcome, Ann, from now on you will be a researcher at the Max Planck Institute of Mathematics."

When talking about this, Faltings stretched out his hand, "Happy cooperation."

"Happy cooperation!" Before An Yan came back to his senses, Faltings had already taken him to the entry office. When the formalities were completed, he was still in a state of confusion.

This has joined the German Academy of Sciences?Is it... so simple?

"Ann, you can draw up your own topic and apply for some funding. These things that need to be approved... I think it should be very fast." After Faltins finished speaking, he asked An Yan, "What is the topic you are going to propose? ?”

"Probably Hodge's conjecture?" An Yan said uncertainly, "I already have a certain understanding of BSD's Abelian varieties, and I want to extend it and do some Hodge's conjectures on algebraic varieties. some problems."

"It's... a special idea." Faltins didn't seem to object, "So Ann, I can only say, good luck."

"Thank you, Mr. Faltings."

Faltins patted An Yan's shoulder, and said in a deep voice, "Then I will continue to read your thesis first, and I will send your professor Hudson an email later, I think after he sees it, I won't say anything more."

"If you have any questions, you can ask me anytime. If I'm not free, you can ask most of the researchers here." After speaking, Faltings left An Yan's side and returned to the office Continue to check.

Standing where she was, An Yan was somewhat confused about what she should do now.

"Hey, I'm talking about this friend." After a while, someone suddenly came up to greet him, patted An Yan's shoulder and said, "Who are you?"

"Hello." An Yan said with a gentle smile, "I'm An Yan, and I just arrived at the Max-Planck Institute of Mathematics."

"Oh, are you the Ann that Mr. Faltins just took to go through the entry formalities?" The man exaggerated, "Peter Schultz."

He stretched out his hand friendly and said with a smile, "I'm here to find Mr. Faltings."

"After reading your paper, you are very good at number theory."

Pete Schulz?The German math genius?Pete Schultz, who crushed his opponent three times in the IMO competition?

Also a great god, An Yan said to Pete Schultz, "Hello, Mr. Pete. Mr. Faltins seems to be... in his office."

"Thank you, Ann!" Schultz smiled at An Yan, "If you feel bored, maybe you can go and have a look inside." He pointed to the door next to him and said, "I remember that this office seems to be No one, and it's a good choice if you want to do research."

"Thank you." An Yan thanked Schultz, and pushed open the door. This is a bright office. Although it is not big, it has everything you need.A small blackboard, pens, and some literature.As if someone cleaned it on purpose, An Yan came to the chair and thought for a while.

Logging into the bib, he logged into the bib so that Gu Weize could see him, and by the way, take a look at Gu Weize's whereabouts.It seems that the two haven't been in touch for a long time, and Gu Wei is probably about to start working.

【An Yan Yan Yan: A New Beginning [Picture]】

After releasing the scarf, An Yan withdrew from the scarf.He was waiting for Gu Weize to ask him where he was, but he didn't know when Gu Weize would be able to see him.After thinking about it, he couldn't figure out whether Gu Weize could see it.

Forget it, he should study his own affairs first.

Thinking about it, An Yan began to write down a line of formulas on the small blackboard——

…………

After Schultz came to Faltings' office, he said relaxedly, "Mr. Faltings, what do you want me to do?"

"Peter, are you here?" Faltings frowned slightly and said, "I still need an assistant now. I am checking an amazing paper. Are you interested?"

"Huh?" Schultz froze for a moment, "Mr. Faltings, I just heard that you left that Ann at the Max Planck Institute of Mathematics?"

"That's right." Faltings stood up, "We all underestimated the strength of that Ann, didn't we?"

"Eh..." Schultz didn't figure out what happened between Faltings and An Yan, "Mr. Faltings, what do you mean?"

"I mean, even in the Langlands program and algebra, his talent is no worse than yours. Pete, you know that I am very optimistic about you."

Schultz didn't speak. He remembered Mr. Faltings, an unsmiling senior, who could show a gentle smile every time he met him.There are not many times like this, especially for other students, Mr. Faltings is very cold and strict.

"But I just found out that I can't understand this Ann." Faltings raised the paper in his hand and said, "You can read this paper."

"This paper?" Schultz took the paper and held it in his hand.

Could it be that this paper is what Mr. Faltings wants to check with him?

[About the correctness of the BSD conjecture]

This... Schultz took a breath, who is this?It can be said that it has reached the pinnacle, not even almost unsurpassable research on Abelian clusters.

Glancing at the name of the first paper——

An Yan

Isn't this the An Yan he just met?Schultz froze for a moment, but hadn't recovered yet, "I haven't seen this paper on arXiv before."

"That's right." Faltings nodded slightly and said, "I didn't see this paper in any journals, because Ann came to visit me after finishing this paper. I want to ask me whether the calculation of this paper is correct or not. correct."

Faltings said with a smile, "Peter, are you interested?"

Schultz took a deep breath, nodded firmly and said, "I'm very honored, Mr. Faltings, if I can check the right and wrong of this paper with you, I believe this is a very wonderful thing."

"Then Pete, let's start checking." The reason why Faltings contacted Pete

Schultz.Also in the past, Napier Schultz was a very talented young mathematician he saw in his lifetime.In addition, they are all related to Germans.Faltings has a deep contact with him, and he has a very good opinion of Pete Schultz.

He believed that with Pete's help, he could check the paper faster.

Faltings took out the small blackboard and began to calculate on the small blackboard.Schultz assisted Faltings in his calculations.

…………

[Wait, why is it located in Bonn, Germany?So the question is, what did An Dashen go to Bonn? 】

[My God, what exactly is the Great God going to do? 】

[Where is this place?It looks great. 】

[It looks like the Max Planck Institute of Mathematics next to the University of Bonn? 】

[A temporary researcher at the Max Planck Institute of Mathematics, I know where this is.This is the office of the Max-Planck Institute of Mathematics. Today, Mr. Faltings, the director of our Max-Planck Institute of Mathematics, personally took this big guy to go through the entry procedures.Do you understand? 】

[Fuck... is it true?Max Planck Institute of Mathematics? 】

[Who will explain to me what the Max Planck Institute of Mathematics is?Wasn't this great god still studying at Stanford University a few days ago? 】

[You can think of the Max-Planck Institute of Mathematics as the German Academy of Mathematics. If you understand it this way, you will know how awesome this boss is. 】

[This is... the world of the boss? 】

[I heard that this big guy came to the Max-Planck Institute of Mathematics to visit Mr. Faltings.As a result, Mr. Faltings stayed at the Max Planck Institute of Mathematics as a researcher. 】

【emmmmm... The world of your apprentice gods is really too elusive. 】

[Just, the Max-Planck Institute of Mathematics is so difficult to get into, why is it as easy as eating and drinking for the boss?This unscientific. 】

[No, this is very scientific. 】

[My God, where is this scientific? 】

[You will understand, I seem to know something about this big guy, pay attention to arXiv and the four top mathematics journals. 】

[After you say that, I'm starting to look forward to what this boss will do. 】

【You know……】

An Yan didn't log in to the scarf, so she didn't know that there were so many people talking about her under her scarf.Of course, even if he knew, he would just laugh it off.Talking about yourself is not the first time someone has done it, and it may not be the last time.So An Yan doesn't care about this kind of thing. He studies his own stuff, and he doesn't know how long it will take Mr. Faltings to check and calculate the BSD conjecture he made.

More than half a month passed by, and An Yan was studying Hodge's conjecture in the office every day.This is the only way he can go further in mathematics after studying the BSD conjecture. The BSD conjecture itself is a calculation of Abelian varieties, while the Hodge conjecture is a calculation of more complex algebraic varieties.

How difficult this thing is, many people who have tried it have not been able to calculate it.Even if there are no staged results, this is a very difficult thing for mathematicians.For An Yan, it was also a very difficult matter.

The unraveling of the BSD conjecture was itself an accident.When he was talking to Gu Weize, his wild imagination allowed him to solve the BSD conjecture.

The Hodge conjecture itself is a more difficult conjecture, and it may not be easy to solve this conjecture.In addition, he has no inspiration now, even if the Fields Medal in 14 already has his place-I am afraid it will take a few years to make this Hodge conjecture.

Why did An Yan have to make the Hodge conjecture—because the Hodge conjecture could be widely used when he was working on a grand unified theory.Whether it is the BSD conjecture or the Hodge conjecture, in the grand unified theory itself, it needs to be used.

…………

"Peter." Faltings stopped calculating on the small blackboard, looked at Schultz beside him and said, "How far have we calculated?"

Schultz took a breath and said, "Professor, we seem to be almost done with the calculation."

"So——" Faltings raised his head, looked at Schultz and said, "Is there any error in the previous calculation?"

The author has something to say: ①: Excerpted from the first update of Zhang Shouwu on Baidu Encyclopedia! ! !