universal data

Chapter 476 New Theorem

479 chapter

This ass...

Cheng Nuo held his forehead, feeling extremely helpless.

But soon, Cheng Nuo switched himself back to the role of a mentor.

After pondering for a while, Cheng Nuo said, "Since you are my students, I will naturally not ignore you. In the future, no matter what problems you encounter, you can come to me. In terms of study, life is also included."

"Of course, I also hope that you will not disappoint my training for you."

Cheng Nuo's voice became serious, "My minimum requirement for you is that in the first year, you need to complete the writing of your doctoral dissertation. In the remaining two years, I will let you choose."

"I know a lot of well-known mathematicians abroad. I can recommend you to work under them, or, another option, to work with me on projects."

One year to complete the doctoral dissertation!

This requirement can be said to be quite harsh.

You know, this is a doctoral thesis, not an undergraduate thesis that can be easily passed.

Sweeping over the frowns of the two, Cheng Nuo smiled slightly, "Not sure?"

Zhang Minghua looked hesitant, finally gritted his teeth, and said fiercely, "Yes!"

Fan Yi also nodded heavily beside him.

Both of them were not bad at math, otherwise they wouldn't have stood out from the crowd of more than 100 people and been selected by Cheng Nuo.

In the eyes of ordinary people, the two of them can already be said to be geniuses among geniuses.

In Cheng Nuo's view, completing a doctoral dissertation in one year is not a problem at all for his two students.

The key is whether you are willing to keep approaching your limit and willing to fight.

Compared with foreign countries, the domestic scientific research environment is still too comfortable, that is to say, it lacks a lot of hard work.

Zhang Minghua and Fan Yi are not weak, even better than most of MIT's doctoral students.

The tasks that most doctoral students at MIT can accomplish can naturally be done by these two.

Moreover, there is its own assistance.

Cheng Nuo couldn't change the entire domestic scientific research environment, but Cheng Nuo could still change the people around him.

The first meeting came to an end with eating and drinking.

Cheng Nuo didn't give much guidance on the topic of their graduation thesis. He just said that they should study the direction that interests them most.

Just let the two decide on the topic and let him know.

…………

September, October, November.

During the three months, Cheng Nuo rarely even stepped out of Tsinghua University.

Apartment buildings, research institutes, restaurants, three points and one line, Cheng Nuo devoted almost all of his energy to the research of the BSD conjecture.

Just yesterday, Senior Brother Zhang Wei sent the derivation content of the first stage, that is, the elliptic curve part, to Cheng Nuo's mailbox.

Cheng Nuo read it carefully.

The final result of the derivation was almost as expected by Cheng Nuo.

But there is still a short distance from the desired result.

However, this is also the limit that Senior Brother Zhang Wei can do at this stage.

The small step behind is like a moat, and it is extremely difficult to move forward a little.

There are considerable reasons for this.

Because, in the existing mathematical theory system, there is no axiom that can complete this small step.

Like the banks of a river.

Although the straight-line distance from one bank to the other is very short, there is a river in the middle. If you want to go there, you only need to find the end of the river and go around.

In history, many mathematicians have tried to do this, but they have walked for a long time, and they have not reached the end of the river.

Cheng Nuo didn't want to do this.

It's very obvious, even if he can find the end of the river, it's not a long detour.

Compared to going around, Cheng Nuo is more accustomed to another simple and crude solution: building a bridge!
Cheng Nuo's deduction theorem is a process of bridging.

Once the bridge is erected, the last short distance can be easily covered.

And now, Cheng Nuo built that bridge!
In the office, Cheng Nuo stretched his body and looked at the few lines of formulas on the screen, feeling extremely comfortable.

"Finally, let me figure it out!"

If it weren't for the fear of affecting other people in the institute, Cheng Nuo really wanted to let out a long roar.

Three months, for this theorem, Cheng Nuo spent three full months!
During this period, Cheng Nuo revised the manuscript many times, and took no less than ten sideways, stumbling along the way, making Cheng Nuo almost give up.

It was also rare for Cheng Nuo to experience the feeling of being out of inspiration.

But now, it's over.

When the bridge was erected by Cheng Nuo, all the previous efforts were worthwhile.

Cheng Nuo called Zhang Wei directly, "Brother, I have already deduced the theorem, come to my office."

"Okay, okay, I happen to be at the Shuyuan building, and I will be there in five minutes." Zhang Wei on the opposite side heard the news, and his tone was also extremely excited.

Five minutes later, Zhang Wei arrived in a hurry.

Before he even had time to drink water, he hurriedly asked Cheng Nuo, "What about the new theorem?"

Cheng Nuo smiled and handed over a piece of A4 paper.

Zhang Wei took it and looked down.

[The elliptic curve on the logarithmic domain K, the torus (R/Z)^2 has a natural Abel group structure. If the elliptic curve δ is embedded in the projective plane, the elliptic curve conforms to the following geometric theorem:

①: The intersection point O of δ and the straight line at infinity is the zero element of Abel;

②: For R=(x, y), -R=(x, y);

③: For P and Q, the straight line passing through P and Q intersects δ at the third point P, then P+Q=-R
…… 】

After Zhang Wei read it carefully, he raised his head and looked at Cheng Nuo with horror.

"This, this theorem..."

Zhang Wei now has a feeling that when he dozes off, someone will give him a pillow.

Cheng Nuo's new theorem fit perfectly with what they were studying.

Like sending charcoal in the snow, the dead road that was originally blocked in front suddenly became clear.

On the one hand, Zhang Wei was delighted, but also surprised.

At the beginning, although Cheng Nuo had patted his chest and promised that he would deduce a new theorem within three months.

But as time went by, Zhang Wei's understanding of the BSD conjecture gradually increased, and he also realized how arduous Cheng Nuo's task was.

Zhang Wei had long been prepared for this project to end in failure.

But unexpectedly, for this seemingly impossible task, Cheng Nuo handed over a new theorem to him within three months as he said.

And this new theorem also has quite high academic significance.

To put it simply, even if the BSD conjecture is not considered, the new theorem deduced by Cheng Nuo is at least at the level of the second echelon mathematical theorem.

There are widespread rumors that Cheng Nuo is a monster, but Zhang Wei has never experienced it personally.

But now, Zhang Wei finally realized how terrifying the young man sitting in front of him was!
(End of this chapter)