Omnipotent Data

Chapter 321

After returning to the dormitory from Professor Fang's apartment, Cheng Nuo immediately searched the Internet for some information about the BSD conjecture.

Sure enough, he found out that four years ago, there was indeed a mathematician from Yingguo named Zhan Qi, and another mathematician from Germany named Selty, who worked together to prove that when the analytical rank is zero, The weak BSD conjecture is considered a breakthrough in the generalized BSD conjecture.

However, since then, few people in the mathematics community have published important results that help prove the BSD conjecture, and the research progress was once blocked.

Professor Fang’s proof of the "weak BSD conjecture when the analytical rank is 1" can barely be regarded as the unproven other half of the weak BSD conjecture.

As long as Professor Fang can prove that "when the analytical rank is 1, the weak BSD conjecture is valid except for 2 and the derivation", basically the weak BSD conjecture is fully proved.

But... there is no money for this!

The reward condition proposed by the Clay Institute of Mathematics is to completely solve the BSD conjecture. The weak BSD conjecture is just a small guard boss next to the world’s big boss. Defeating him can only be regarded as an appetizer. The rewards are only experience points and no gold coins.

The more he browsed the Internet about the BSD conjecture, Cheng Nuo became a little panicked.

According to the above, since the research results on the establishment of the weak BSD conjecture when analyzing rank 0 were published, some mathematicians around the world have tried to conquer the other half of the weak BSD conjecture, and believe that this is not What a difficult thing to handle.

In their opinion, it is only necessary to follow the inference method of Gianqi and Stie, substituting in the case of analytical rank 1 and re-deriving it again.

But they didn't expect that if Jenchi and Stie could use the same method to derive and prove another situation, why not just wait for the weak BSD conjecture to be fully proved before claiming to the outside world. Wouldn't it be more fame and attention?

The two of them did not do this and could only prove that the proof work of the weak BSD conjecture in the two cases is not suitable for the same theoretical system.

Therefore, four years have passed, and no one has made another big wave in BSD research.

"It's really a troublesome thing!" Cheng Nuo closed the computer and sat on the chair in front of the dormitory desk, resting his hands on his head, muttering to himself.

He glanced at the drafts on the desk that the professor in front of him asked him to bring back.

This can be regarded as Professor Fang's research effort on BSD conjecture for two years.

There are about ten pages of draft paper, but the degree is very slow.

It's not because Cheng Nuo wants to work slowly and carefully, but... you can't understand a lot of things at all!

Such as "L-level function of elliptic curve", "Abelian cluster", "Modal theorem"...Although he has covered a series of knowledge, he is obviously not good when it comes to skilled application and formula derivation. Some heat.

I hate less when the book is used!

Cheng Nuo feels like this now.

He put the draft on the desk discouragedly, not ready to read it for now. You can't understand it when you look at it. It's no good except wasting a lot of brain cells. It is better to read more books and store some professional knowledge about BSD conjecture.

Anyway, Professor Fang said that the proof of this conjecture is not in a hurry.

There are probably tens of millions of mathematicians all over the world contemplating how to prove the BSD conjecture in their huts, and they received a million dollars in prize money. But after all, there are only a few who are truly capable, and even those few people do not mean that those who study it early will be the first to solve the guess.

Everything is about fate.

The fate is here, even if you study for a year, I am afraid you will be able to think of proof methods earlier than those who have studied for ten years.

…………

In the next week, Cheng Nuo became a frequent visitor to Tsinghua University Library.

Basically, all books and periodicals related to BSD conjecture, such as "Modern Mathematics", "Mathematical Analysis of the Whole Domain", and "Notes on Elliptic Curves", were taken over by Cheng Nuo and read.

In the past, Cheng Nuo didn't deliberately study relevant knowledge in this field systematically, but once he had his brains full of speed, and had a week to fully learn from the books, the progress was enough to describe the rapid progress.

A week later, Cheng Nuo could already understand most of the formula in Professor Fang's draft. At the same time, another unfinished subject in Cheng Nuo's hands, "Electron Cyclotron Wave Heating and Current Drive Simulation Based on Three-Dimensional Fokker-Equation", has also entered the final stage.

The progress of the research on this electronic cyclotron wave co-authored with the Institute of Science and Technology can only be described in two words: smooth. Except for a little trouble in the first period, everything went smoothly.

Anyway, the number of colleges and the colleges of things are alternated and researched three times continuously, and neither side is willing to lose the face of their respective colleges. Once they get the task, they start to work with high spirits like a medicine.

The original half-year research period was shortened to four months.

"Happy cooperation!"

"Happy cooperation!"

At the celebration banquet, the four smiled and shook hands.

Regardless of the division of mathematics and science, there will be many projects to cooperate with the Institute of Materials in the future. Through this cooperation, the two seniors of the Academy of Medicine have a full understanding of the abilities of Cheng Nuo and Wang Genji.

Especially Cheng Nuo. They know that in addition to this subject, Cheng Nuo is still working as a deputy leader in another subject group of the School of Mathematics, and the inside story of that subject has already competed with the time of the University of California, Berkeley. I've heard some.

Admiration is not counted, but it does recognize Cheng Nuo, a freshman. If there is another chance to cooperate, they would not mind bringing Cheng Nuo in again.

And Cheng Nuo had no time to talk about it~www.readwn.com~ After the celebration banquet, Cheng Nuo went to Professor Fang's office in the building of the Academy of Sciences to discuss the matter of conjecturing concrete proof of work.

During the discussion, Professor Fang was basically talking and Cheng Nuo was listening.

What Professor Yi Fang has learned after two years of immersion in this field is obviously not comparable to that of Cheng Nuo, who has only studied for less than half a month.

From flesh to bone, Professor Fang spent the whole morning gradually explaining to Cheng Nuo the complexity of BSD proof work, as well as the proof ideas of the other half of the BSD conjecture that Professor Fang conceived.

"Still starting from the elliptic curve in the rational number field, combined with the finiteness of the Shafarevih-Tate group order, it is concluded that if E is an elliptic curve with complex multiplication, then there will be L(E, 1)≠0→r (E)=0, and finally get a Bloh-Katoonjeture. Theoretically, it can be concluded that the weak BSD conjecture holds beyond 2."

Professor Fang concluded.

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