Chapter 477

Chapter 480

Cheng Nuo temporarily named his newly derived theorem "elliptic Abelian group theorem".

With the elliptic Albert group theorem, the proof of BSD conjecture can be continued.

"Brother, I'll trouble you next."

"Well. Give me a week, oh no, four days, and I'll give you the results. "

The appearance of elliptic Albert group makes Zhang Wei see the hope of conquering BSD conjecture.

He has decided to give up his other job and put all his energy on the BSD conjecture.

After all, once BSD's conjecture is proved, the revenue he can get will be thousands of times higher than that of his other project.

…………

The proof of BSD conjecture is going on in an orderly way.

Cheng Nuo and Zhang Wei devoted all their remaining energy to this work in addition to their daily work as graduate students.

There's no need to even stay in the office every day.

This kind of workaholic attitude, in the invisible, has brought the pressure of many professors in Tsinghua University.

On the other side, Cheng Nuo and Zhang Wei, the two brothers, are so busy that they even trot to the canteen to eat.

On the other side, they are a group of professors sitting in the office leisurely, drinking tea and chatting happily.

In a moment, a high sentence!

As a result, in just a few days, many professors suddenly became active in their projects.

That kind of long lost effort, again appeared in them.

While the school's scientific research atmosphere is slowly changing under the influence of Cheng Nuo, Cheng Nuo and Zhang Wei are discussing fiercely in the office.

If you calculate it carefully, it has been nearly four months since the BSD conjecture proof project was opened.

In this four months, Cheng Nuo and Zhang Wei finally finished the first puzzle of BSD conjecture.

Prove the ultimate goal of BSD conjecture, progress 13.

The two pieces of difference are Abelian cluster and modal group.

According to the framework, the next piece of puzzle that needs to be done is the modal group.

In BSD conjecture, modal group is a finitely generated Abelian group, which exists in the global field as elliptic curve.

What they are discussing now is what the next phase is about.

Zhang Wei thinks that we should study from the module theorem of modal group. The reason is that mathematicians of all ages studied this part of BSD conjecture in depth.

Cheng Nuo's view is different.

Cheng Nuo does not deny, but does not agree with, the views of mathematicians who studied BSD conjecture in the past dynasties.

Since there is no real proof, it is said that the previous reasoning scheme may not be correct.

Instead of following the old ways of the predecessors, it is better to find a new way to walk out of a broad road of our own.

Compared with the module theorem, Cheng Nuo thinks that the problem of the same remainder is a better approach.

In the end, Cheng Nuo convinced Zhang Wei.

In the next few months, I was trying to understand the second puzzle.

…………

Summer, a normal morning.

On the plastic track of Tsinghua North playground, Cheng Nuo is wearing earphones and jogging at a constant speed.

"Good morning, professor."

A voice rings, and then a figure appears in Cheng Nuo's line of sight.

Zhang Mingnuo is the student who flatters others.

Think of this student more than half a year to bring their own impression, Cheng Nuo can only use wordless two words to describe.

"Well." Cheng Nuo nodded, saying hello.

Zhang Minghua didn't leave. Running side by side with Cheng Nuo, Zhang said with a look of adoration, "Professor, I didn't expect you were so busy at work and took time to exercise. No wonder you can become the youngest winner of the Veblen prize. A teacher like you should be a model for us! "

"Er..." Cheng Nuo was a little embarrassed to be licked, and said with a smile, "I heard Fan Yi say that your graduation thesis is about to be completed. It's very good!"

"No, no, no, it's a long way from you, Professor! In our eyes, a graduation thesis is extremely difficult, but in your eyes, it is just a matter of using your brain. This little matter is not worth mentioning in front of you. "

"Are you going to study in other countries after you finish your thesis, or do you want to stay and work on a project with me?"

"Stay with the professor, of course." Zhang Minghua did not hesitate to answer, "in my opinion, none of those mathematicians abroad is more powerful than professor you. In my eyes, you are the biggest big man in the mathematics field. I don't need to go abroad, just follow you!"

Looking at Zhang Minghua's dignified appearance, Cheng Nuo is not sure, those words, Zhang Minghua is licking, or really from the heart?"After finishing the graduation thesis, show me. If I can't pass this, I won't let you participate in the graduation defense." Chengnuo tone light, "another reminder you, I am very strict!"

"Professor, you don't know, I just like strict teachers!" Zhang Minghua showed a row of neat and white teeth, "the more strict the treatment of students, the more important attitude to students! Professor, you are a teacher worthy of admiration. I am honored to be your student! "

Chengnuo: "......"

Some of the licked ones were unbearable. Cheno ran two times with his head down and went back to the apartment for a bath and went straight to the office of the Institute.

When Cheng Nuo arrived, elder martial brother Zhang Wei just arrived.

"Elder martial brother, I am so early!"

"Early!"

"By the way. Cheno, I have compiled the sum of the square factor you want. Come on, and see if there is any problem. "

Cheng Nuo simply turned over, "elder martial brother Zhang, you have done very well. And then, below that, is the problem of constructing rational points on the infinite order curve. Let me have this. "

"Cheno, this..." Zhang Wei is a little hesitant.

The rational point construction problem on this infinite order curve, which Chenault said, is the most critical part of the second puzzle, and also the hardest part.

Chengnuo saw Zhang Wei's worry and shrugged easily. "Elder martial brother, just give it to me. I have some ideas. It should be no problem to actually deduce it."

"Then, please, cheno."

…………

Cheng Nuo took a pen and worked on the draft paper.

The object of this paper is the same remainder of the modale commutative group. When it intersects with the infinite order curve, the representation of rational points is obtained.

It's a rather complicated problem, and fortunately, cheno has some inspiration.

These inspiration came from cheno's running on the playground these morning.

So he had the habit of going to the playground two times every morning.

"Assuming that D has no square factor, simple primary considerations show that D is equivalent to elliptic curve e with the same remainder_ D: Y^2 = there is a rational point for yneq0 on x^3-d^2x. It can be proved that such a point does not belong to t, so D is the same remainder and is equivalent to R_ D. 0, determine all congruence D, and make R_ D. 0, and , and then, you can make sure that this is reasonable

"Oh, no, wait!"

Suddenly, Cheng Nuo's pen stopped, his eyes slightly coagulated.

His mouth turned up and muttered to himself, "I seem to find something that is beyond my limits."

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