Chapter 321

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

Sure enough, he found out that four years ago, there was indeed a mathematician named Zhan Qi and another mathematician named Sletty, who cooperated to overcome the weak BSD conjecture in the case of zero analytic rank, which was a breakthrough in the generalized BSD conjecture.

Since then, however, few people in the mathematical community have published important results that have contributed to the proof of the BSD conjecture, and the progress of research has been hampered for a time.

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

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

But...... There's no money to take it!

The Clay Institute of Mathematics proposed a reward that would completely solve the BSD conjecture. And the weak BSD conjecture is just a small guard boss next to the world boss, defeating him can only be regarded as an appetizer, and the reward items are only experience points, no gold.

The more he browsed the news about the BSD conjecture on the Internet, the more panicked Cheng Nuo's heart became.

According to the above, since the publication of the research results on the validity of the weak BSD conjecture in the case of analytic rank 0, some mathematicians around the world have tried to overcome the weak BSD conjecture of the other half, and believe that this is not a very difficult thing to do.

In their opinion, it is OK to follow the inference method of Janger and Selty, substitute it with the analysis rank of 1, and then deduce it again.

But it didn't occur to them that if Janch and Slty could use the same method to deduce and prove the other case, then why not just wait for the weak BSD conjecture to be proved before claiming it to the outside world. Wouldn't that have gained more fame and attention?

Neither of them did this, and only proved that the proof work of the weak BSD conjecture in both cases did not fit into the same theoretical system.

As a result, four years have passed, and no one has made a big splash in BSD's research work.

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

He glanced at the drafts that had been placed on his desk and had been asked to be brought back by the professor before leaving.

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

There are about ten pages of scratch paper, but the degree is unusually slow.

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

For example, "L-order functions of elliptic curves", "Abelian clusters", "Modal's theorem", ...... Although he has dabbled in this series of knowledge, he is obviously not ready to talk about proficient application and formula derivation.

When the book is used, it is less hated!

Cheng Nuo feels like this now.

He put the draft on his desk in frustration, not ready to read it for the time being. I can't understand it when I look at it again, and it does no good except waste a lot of brain cells. It's better to read more books and store some expertise about the BSD conjecture.

Anyway, Professor Fang said that there is no rush to prove this conjecture.

Millions of mathematicians around the world are sitting in huts trying to figure out how to prove the BSD conjecture and get a million-dollar prize. But after all, there are only a few people who are really powerful, and even those few people do not mean that whoever studies it early will be the first to solve the conjecture.

Everything is about fate.

As fate comes, even if you study for a year, I'm afraid you will be able to think of a proof method earlier than someone who has studied for ten years.

............

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

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

In the past, Cheng Nuo did not deliberately and systematically learn relevant knowledge in this field, but once he was given a week to fully absorb knowledge from books, the progress was enough to be described as speed.

A week later, Cheng Nuo was able to read most of the formulas on Professor Fang's draft. At the same time, another unfinished project in Cheng Nuo's hands, "Simulation of Electron Cyclotron Heating and Current Drive Based on 3D Fokker-Planck Equation", has also entered the final work.

The research progress of this project, which is a project of electron whirlwind waves in cooperation with the Institute of Physics, can only be described as smooth. Except for a little trouble at the beginning, the rest went well.

Anyway, it was the three non-stop rotational research of the Academy of Science and the Academy of Physics, and neither side was willing to lose face in their respective academies, and as soon as they got the task, they all started working with high morale as if they had been drugged.

The original half-year research period has also been shortened to four months.

"Happy working together!"

"Happy working together!"

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

Mathematics and physics are not separated, and there are many projects to cooperate with the Institute of Physics in the future, and it is difficult to say that the four of them will not enter the same research group again. Through this cooperation, the two seniors of the Academy of Physics have a full understanding of the abilities of Cheng Nuo and Wang Genji.

Especially Cheng Nuo. They know that in addition to this topic, Cheng Nuo also serves as the deputy leader of another research group in the School of Mathematics, and the inside story of that topic has been compared with the time race at the University of California, Berkeley, and they have more or less heard about it.

Admiration is not counted, but it is indeed a recognition of Cheng Nuo, a first-year junior. If there is a chance to cooperate next time, they will not mind pulling Cheng Nuo in again.

And Cheng Nuo didn't have time to talk about it anymore. After the celebration banquet, Cheng Nuo went to Professor Fang's office in the building of the Academy of Sciences to discuss the specific proof of the conjecture.

In the process of discussion, Professor Fang was basically talking and Cheng Nuo was listening.

What Professor Fang has comprehended after two years of immersion in this field is obviously not comparable to the level of Cheng Nuo, a half-person who has only studied for less than half a month.

From flesh and blood to bones, Professor Fang spent a whole morning gradually explaining to Cheng Nuo the complexity of the BSD proof work, as well as the proof idea of the other half of the BSD conjecture conceived by Professor Fang.

"Still starting from the elliptic curve of the rational number field, combined with the finiteness of the Shafarevich-Tate group order, it is obtained: if E is an elliptic curve with complex multiplication, then there is L(E,1)≠0→r(E)=0, and finally a Bloch-Kato conjecture, theoretically, the weak BSD conjecture can be deduced to be true except 2. ”

Professor Fang concluded.

Genius one second to remember the address of this site:. Mobile version reading URL: m.