Chapter 318

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.

As expected, he found out that four years ago, there was indeed a young mathematician named Zhanqi and another German mathematician named SELDI who cooperated to prove the weak BSD conjecture when the analytic rank was zero, which was a breakthrough development of the generalized BSD conjecture.

However, since then, few people have published important achievements that are helpful to the proof of BSD conjecture, and the research progress has been hindered for a time.

The proof of "weak BSD conjecture when analytic rank is 1" in Professor Fang's hands can be regarded as the other half of the weak BSD conjecture which has not been proved.

As long as Professor Fang can prove that "when the analytic rank is 1, the weak BSD conjecture is true except for 2 and derivation", it is almost all proved that the weak BSD conjecture.

But There's no money to take!

The reward condition put forward by clay's mathematical research is to solve the BSD conjecture thoroughly. The weak BSD conjectures that it is only a small guard boss beside the world's big boss. Defeating him is only an appetizer. The reward items only have experience value, and there are no gold coins.

The more browsing the news about BSD conjecture on the Internet, the more flustered Cheng Nuo is.

According to the above, since the research results on the weak BSD conjecture are published when the analytic rank is 0, some mathematicians all over the world have tried to conquer the other half's weak BSD conjecture and think it is not a very difficult thing to solve.

In the case of jansky, they only need to extrapolate the method of rank 1 into OK again.

But they didn't think that if jange and SERTI can deduce and prove another case in the same way, why not wait for the weak BSD conjecture to be proved and then claim to the outside world. Wouldn't that be more fame and attention.

They did not do so, they can only prove the weak BSD conjecture in two cases, which is not suitable for the same theoretical system.

Therefore, four years later, no one has made a big splash in BSD research.

"What a nuisance!" Cheng Nuo closes the computer, sits on the chair in front of the desk in the dormitory, pillows his hands and murmurs to himself.

He glanced at the drafts on his desk that the professor had asked him to take back.

This can be regarded as Professor Fang's research efforts on BSD conjecture in the past two years.

Draft paper a total of about ten pages, but the degree of view is extremely slow.

It's not because Cheng Nuo wants to work slowly, but because Many special things can't be understood at all!

Like "L-order functions of elliptic curves", "Abelian clusters", "modal theorem" Although he has been involved in this series of knowledge, he is obviously not ready to deal with the skillful application and formula derivation.

When books are used, they hate less!

That's how Cheng Nuo feels now.

He put the draft on the desk frustrated, not ready to read for the time being. If you look at it again, you can't understand it. Besides wasting a lot of brain cells, it's useless. It's 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.

I'm afraid there are millions of mathematicians all over the world in their huts wondering how to prove the BSD conjecture and get a million dollar prize. However, only a small number of people have real strength, and even those few people do not mean that whoever studies early will take the lead in solving the conjecture.

Everything is about fate.

Fate, even if you study for one year, I'm afraid you can think of proof earlier than those who have studied for ten years.

…………

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

Basically, all the books and periodicals related to BSD conjecture, such as modern mathematics, mathematical analysis of global domain, and labeling of elliptic curves, were taken over by Cheng Nuo.

In the past, Cheng Nuo didn't study the relevant knowledge in this field deliberately and systematically. However, once his brain was fully opened and he had a week to fully absorb knowledge from books, the progress was enough to be described as rapid.

A week later, Cheng Nuo was able to understand most of the formulas in Professor Fang's draft. At the same time, another unfinished project in Cheng Nuo's hands, "simulation of electron cyclotron wave heating and current drive based on three-dimensional Fokker Planck equation" has also entered the final stage.

We can only describe the progress of the project of electron cyclotron wave in cooperation with the Chinese Academy of physics. Except for a little trouble in the beginning, the rest is going well.

In any case, the Academy of Sciences and the Academy of physical education have been studying in rotation for three times. Neither side is willing to lose face of their respective colleges. Once they get the task, they all start to work with high morale as if they were taking medicine.The original half year research period has also been shortened to four months.

"Happy cooperation!"

"Happy cooperation!"

At the celebration banquet, the four shook hands with a smile.

Mathematics and physics do not separate, and there are many cooperation projects with the Academy of physical education in the future. It is hard to say that the four will not join the same research group again. Through this cooperation, the two senior students of the academy have a full understanding of the abilities of Cheng Nuo and Wang Ji.

Especially Cheng Nuo. However, they know that besides this project, Cheng Nuo is also working as the deputy leader of another research group in the school of mathematics, and the inside information of that subject has already competed with the time competition of UC Berkeley, and they have heard more or less about it.

Admiration is not considered, but it is really recognition of Cheng Nuo, a freshman. If there is a chance to cooperate next time, they won't mind bringing Cheng Nuo in again.

And Cheng Nuo has no time to talk about it. After the celebration banquet, Cheng Nuo went to Professor Fang's office in the building of several academies to discuss the specific work of proof.

Basically, Professor Fang is talking and Cheng Nuo is listening.

What Professor 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 and blood to bones, Professor Fang spent the whole morning telling Cheng Nuo about the complexity of BSD proof work and the proof ideas of the other half of BSD conjecture.

"We still start from the elliptic curve in the rational number field, combined with the finiteness of the order of the Shafarevich Tate group, we get the following conclusion: if e is an elliptic curve with complex multiplication, then l (E, 1) ≠ 0 → R (E) = 0. Finally, we get a Bloch katoconjection. In theory, we can deduce that the weak BSD conjecture holds except 2."

Finally, Professor Fang concluded.

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