Chapter 484

Dean Ding has been the staunchest supporter of Cheng Nuo's research since he checked Cheng Nuo's research progress.

That paper, although it can only barely be regarded as a semi-finished product.

It's not even a paper, because it's just a superposition of some derivation formulas, without any textual embellishment.

What kind of person is Academician Dante, who can be mixed with the dean of the School of Mathematics of Tsinghua University, at least he is knowledgeable.

Not to mention anything else, the "Elliptic Abelian Group Theorem" proposed by Cheng Nuo in the elliptic curve part and the "Cheng's imaginary point" discovered in the Modal exchange group part, these two can cause a shock in the entire mathematical community.

Not to mention, it took Academician Ding nearly half a month to understand the derivation process of the formula on the stack of paper given by Cheng Nuo, and found that the facts were indeed as Cheng Nuo said.

Regarding the proof progress of the BSD conjecture, Cheng Nuo and Zhang Wei have reached more than 60%.

At this rate, perhaps within half a year, the BSD conjecture will be completely proven by the two.

Moreover, this is not a small possibility!

If it was half a month ago, Dean Ding would not dare to say this with such certainty, but after seeing Cheng Nuo's true ability, Academician Ding began to believe in it.

That's one of the world's seven conjectures!

This kind of thing, Dean Ding thought that it would happen to them at Tsinghua University, but it was in a dream.

But now, it's about to become a reality.

Dean Ding knew that he couldn't help Cheng Nuo too much, so he could only provide Cheng Nuo with a distraction-free environment as much as possible, and then he waited slowly.

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

December 25, 2025.

The weather in Yanjing in the harsh winter is extremely cold.

Just now, when Cheng Nuo walked by the road at the school gate, he saw two cars rear-ended, and the driver came down and added WeChat, and returned to the car to open a voice scolding.

In this kind of weather, unless necessary, Cheng Nuo rarely goes out.

Cheng Nuo, who was tightly wrapped, came to the office of the research institute with a shiver, and only then did he feel that the blood in his body began to circulate again.

Taking off his coat and making a cup of hot tea, Cheng Nuo started the day's work.

The third piece of the puzzle in BSD's conjecture, Albert Cluster, has finally reached the final stage after five months of hard work between Cheng Nuo and Zhang Wei.

Of course, there is still one last hurdle before the third piece of the puzzle is completed.

Cheng Nuo has spent the last half a month solving this difficulty.

Now, Cheng Nuo finally has some inspiration.

The last difficulty is how to describe the various algebraic cycles with computational invariants.

Algebraic periods imply finite linear combinations of subvariables, so an equivalent statement is that each element of G is a class of algebraic periods with Q?coefficients on V.

In the beginning, Cheng Nuo planned to use a Tate theorem proposed by the mathematician Tate in the last century to solve such problems.

But after a few days of derivation, Cheng Nuo found that this method did not work.

Because Tether's theorem is a subspace G fixed by the Galois group G, as the Q?-vector space spans the class of the coincident i subclass of V.

However, in the case of abelian clusters, the object of study is actually a smooth projection variable on a curved field.

The predecessors can't learn from it, Cheng Nuo can only use the old method, that is, to create a new one!

It's easy to say, but it's actually quite simple to do.

The derivation of the new theorem this time is not framed in a fixed range like last time, which gives Cheng Nuo a lot of room to play.

Moreover, this belongs to the geometric direction, which Cheng Nuo is best at.

[Let V be a smooth projection variable on the field k, which is produced finitely on its prime field.] Let ks be k for the separable closure and let G be k for the absolute Galois group Gal (ks/k). 】

【...... Fix a reversible prime in k?. Considering the cohomology group on l-adic (the coefficient in the l-adic integer Z l, the scalar is then extended to the l-adic number Q?), the cardinal range of V is ks. These groups are representations of G. For any i≥0, a codimension-i subvariable of V (understood as defined on k) determines an element of the upper cohomology group ......]

Cheng Nuo had an inspiration in the morning, but when he was about to get off work in the afternoon, Cheng Nuo deduced this new theorem.

Sitting in front of the computer, Cheng Nuo looked at his "masterpiece" with satisfaction and exclaimed,

"Perfect!"

In the past year or so, Cheng Nuo can clearly feel his progress.

The more you are in this high-pressure environment, the more rapid you can grow.

This growth is visible to the naked eye.

Cheng Nuo can say with certainty that if he is asked to derive the elliptic Albert group theorem now, it will definitely not take three months.

At night, Cheng Nuo endured the cold winter again and walked on the way back to the apartment.

On the road, you can see couples walking together with arms in arms.

Some boys will also warm their girlfriends' cold little hands with the residual heat of their palms, and then snuggle together and walk to a hotel near the school.

"It's Christmas!"

Cheng Nuo swept through a row of shops on the side of the road and found that several of them had Christmas trees in front of them, only to realize that Christmas had arrived.

After more than a year of busyness, Cheng Nuo has gradually stopped paying attention to the outside world, and even seems to have forgotten the passage of time......

"Wow, it's snowing, it's really snowing!!Woo woo, finally seeing snow!" In the distance, several little girls screamed.

Cheng Nuo looked up and found that small snowflakes had fallen in the sky.

Stretching out his hand, the snowflakes quickly melted as soon as they landed in Cheng Nuo's palm.

Taking out his mobile phone that was frozen into ice cubes, Cheng Nuo stood on the side of the road, opened WeChat, found the familiar name, and sent a message: "Merry Christmas!"

After a long time, Mu Leng replied, "It's rare, this time you remembered me after half a month." ”

"You know, I'm very busy here. Cheng Nuo replied weakly.

"Yes, yes. Professor Cheng, you are a busy man. The little girl doesn't dare to disturb your work. So, you might as well stay cool!"

Cheng Nuo was a little embarrassed, "Don't tease me so much." But seriously, this time, my project should be over in the near future. Next year, I can spend more time with you, and then, I plan to get married in the second half of the year!"

After waiting for a long time, Mu Leng replied, "Hmph, don't, I'm still in graduate school, and it's still early to get married." ”

"Is there a rule that says graduate students can't get married, anyway, regardless of your opinion, the marriage will be concluded next year. Even if it's strong, I'm going to snatch you back!"

"You...... Scoundrel!"

"Where are you now, I'll go to you right away. ”

"I'm in the dormitory, what are you doing here?"

"Of course, it's to show you what a real scoundrel is!"

Cheng Nuo put his mobile phone back in his pocket and ran to the graduate dormitory of Peking University next door.

Tonight, he wanted to try if he could get Mu Leng to a small hotel nearby, and then start a great plan!