Chapter 480: Found something incredible

Chapter 480
Cheng Nuo temporarily named his newly derived theorem "elliptic abelian group theorem".
With the elliptic Albert group theorem, the proof of the BSD conjecture can continue.
"Brother, I will trouble you next."
"Well. Give me a week, oh no, four days, I will give you the results."
The appearance of the elliptical Albert group gave Zhang Wei a real hope of overcoming the BSD conjecture.
He has decided to abandon his other job and focus all his energy on the BSD conjecture.
After all, once the BSD conjecture is proved, the benefits he can get are thousands of times higher than his other project.
…………
The proof of the BSD conjecture is proceeding in an orderly manner.
The two brothers, Cheng Nuo and Zhang Wei, except for their daily work with graduate students, put all their remaining energy on this.
Soak in the office every day, there is no need or even to go out.
This kind of workaholic attitude, invisibly, has brought pressure from many professors in Tsinghua University.
On the one hand, it is the brothers Cheng Nuo and Zhang Wei, who are so busy that they trot to the cafeteria to eat.
On the other side, they are the professors sitting leisurely in the office drinking tea and chatting.
In an instant, a judgment was made!
Therefore, in almost just a few days, many professors suddenly became active when doing projects.
The long-lost hard work appeared to them again.
While the school's scientific research atmosphere is slowly changing under the influence of Cheng Nuo, Cheng Nuo and Zhang Wei are discussing vigorously in the office.
After careful calculations, it has been nearly four months since the BSD Conjecture Proof project started.
In this four-month period, Cheng Nuo and Zhang Wei finally completed the first puzzle of the BSD conjecture.
Prove the ultimate goal of the BSD conjecture, progress 1/3.
The two poor puzzles are the Abel cluster and the Modal cluster.
According to the framework, the next piece of the puzzle to be solved is the modal group.
The Modal group, in the BSD conjecture, is a finitely generated commutative group, and the same as the elliptic curve, it also exists in the overall domain.
What the two of them are discussing now is what direction should be taken in the next stage.
Zhang Wei believes that the research should be carried out from the modular theorem of the Modal group. The reason is that when the mathematicians of the past were studying this part of the BSD conjecture, they conducted in-depth research this time.
Cheng Nuo's point of view is different.
Cheng Nuo does not deny the views of mathematicians who have conducted research on the BSD conjecture, but does not agree.
Since there is no real proof, it is said that the previous reasoning scheme may not be correct.
Rather than taking the old path of the predecessors, it is better to find another way and walk out of your own broad road.
Compared with the modular theorem, Cheng Nuo believes that the congruence problem is a better approach.
The final result of the argument was that Cheng Nuo convinced Zhang Wei.
In the next few months, I worked hard to understand the second puzzle.
…………
Midsummer, an early morning that could no longer be normal.
On the plastic track of the Tsinghua North playground, Cheng Nuo was jogging at a constant speed wearing headphones.
"Professor, good morning!"
A voice sounded, and then a figure appeared in Cheng Nuo's side of sight.
This person is not someone else, but Cheng Nuo's student who likes to flatter him, Zhang Minghua.
Thinking of the impression this student had brought to him for more than half a year, Cheng Nuo could only describe it in two words, speechless.
"Yeah." Cheng Nuo nodded, saying hello.
Zhang Minghua did not appear to be leaving, and while running side by side with Cheng Nuo, he said with an expression of admiration, "Professor, I didn't expect you to be so busy at work and take time to exercise. No wonder you can become the youngest Veblen Prize winner. To a teacher like you, be our role model!"
"Uh..." Cheng Nuo was a little embarrassed to be licked, and smiled, "I heard Fan Yi said that your graduation thesis is about to be completed. It's pretty good!"
"No, no, you are still far from the professor! A graduation thesis is extremely difficult in our eyes, but in your eyes, it is just a matter of using your brain, and this little thing is not worth it to you Mention it."
"Then after you finish writing your thesis, are you going to go to another country to study, or stay and do the project with me?"
"Of course I stayed with you, the professor." Zhang Minghua answered without hesitation, "In my opinion, none of the mathematicians abroad is better than the professor. In my eyes, you are the biggest leader in mathematics. , I don’t have to go abroad, just stay with you!"
Seeing Zhang Minghua's upright and awe-inspiring look, Cheng Nuo was a little confused. Are those words Zhang Minghua licking, or are they really coming from the heart?
"Show me the graduation thesis after you finish writing it. If you can't pass this level, I won't let you participate in the graduation defense." Cheng Nuo said in a light tone, "Also remind you that I am strict!"
"Professor, you don't know, I just like strict teachers!" Zhang Minghua showed a line of neat and white teeth, "The stricter the treatment of students, the more shows the attitude towards students! Professor, you are an admirable teacher, I am honored Be your student!"
Cheng Nuo: "..."
Some of the licks were really unbearable. Cheng Nuo ran for two laps without saying a word. After returning to the apartment to take a shower, he went straight to the office of the institute.
When Cheng Nuo arrived, Brother Zhang Wei had just arrived.
"Brother, early!"
"early!"
"That's right. Cheng Nuo, I have compiled the sum of the square factors you want into a file. Come, you can see if there are any problems."
Cheng Nuo briefly flipped, "Brother Zhang, you did a good job. The following is the problem of constructing rational points on infinite-order curves~EbookFREE.me~Leave this to me."
"Cheng Nuo, this..." Zhang Wei hesitated.
The problem of constructing rational points on the infinite-order curve mentioned by Cheng Nuo is the most critical part of the second puzzle, and it is also the most difficult part.
Cheng Nuo saw Zhang Wei's concern and shrugged his shoulders relaxedly, "Brother, just leave it to me. I already have some ideas. Actual derivation should not be a problem."
"Then, trouble Cheng Nuo for you."
…………
Cheng Nuo took a pen and worked on the draft paper.
The research object is the congruence of the modal commutative group. When it intersects the infinite-order curve, the representation of the rational point is obtained.
This is a very complicated issue, but fortunately, Cheng Nuo has some inspiration already.
These inspirations came from Cheng Nuo while running on the playground in the morning.
So he has the habit of going to the playground twice every morning.
"Assuming that D has no square factor, simple elementary considerations show that D is a congruence equivalent to the elliptic curve E_D: y^2=x^3-D^2x has a certain rational point of y\
eq0. This can be proved The point does not belong to T, so D is a congruent number and is equivalent to r_D>0. Determine all congruent numbers D such that r_D>0, and then..., in this way, we can determine that the rational point is..."
"Oh, no, wait!"
Suddenly, Cheng Nuo's pen stopped, his eyes narrowed slightly.
The corner of his mouth curled up and he muttered to himself, "It seems that I found something extraordinary."
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