universal data

C481 The fourth timeC84 Let's get married!
484 chapter

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

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

It's not even a thesis, because it's just a superposition of some derived formulas without any text embellishments.

What kind of person is Academician Dante? To be able to be the dean of the School of Mathematics of Tsinghua University, at least he knows the goods.

Among other things, the "elliptic Abelian group theorem" proposed by Cheng Nuo in the part of elliptic curves, and the "Cheng's imaginary point" discovered in the part of Modal commutative groups, these two can cause the entire mathematical The shock of the world.

Not to mention, it took Academician Ding nearly half a month to understand the derivation process of the formulas on the pile of papers 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%.

According to this speed, maybe within half a year, the BSD conjecture can be completely proved by the two of them.

Moreover, this possibility is not small!

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

That's one of the world's seven conjectures!
Dean Ding thought that this kind of thing would happen to 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 an environment where he could not distract himself, and then waited slowly.

…………

2025 12 Month 25 Day.

The severe winter in Yanjing is extremely cold.

Just now, when Cheng Nuo was passing by the school gate, he saw two cars colliding with each other. The driver got down and added WeChat, and returned to the car to exchange voice messages.

In this weather, Cheng Nuo seldom went out unless necessary.

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

After taking off his coat, he made a cup of hot tea, and Cheng Nuo started his day's work.

The third piece of the BSD puzzle, the Albert cluster, finally reached the final stage after five months of hard work by Cheng Nuo and Zhang Wei.

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

Cheng Nuo has been solving this difficulty for the past half month.

Now, Cheng Nuo finally had some inspiration.

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

An algebraic period implies a finite linear combination of subvariables, so an equivalent statement is that each element of WG is the class of an algebraic period on V with coefficients Q .

At first, 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 didn't work.

Because Tate's theorem is the subspace WG of W fixed by the Galois group G, as a class of Q?-vector spaces spanning the codimension i subclass of V.

However, for Abelian varieties, the research object is actually a smooth projected variable on a curved field.

The predecessors could not learn from it, so Cheng Nuo could only use the old method, that is, create a new one!
This sounds simple, but in practice, it is indeed quite simple.

The derivation of the new theorem this time was not limited to a fixed range like last time, which gave Cheng Nuo a lot of room to play.

Besides, this belongs to the direction of geometry, which Cheng Nuo is best at.

[Let V be a smooth projected variable on field k, which arises finitely on its prime field.Let ks be the separable closure of k, and let G be the absolute Galois group Gal(ks/k) of k. 】

【…Fix a prime number that is reversible in k?.Consider l-adic cohomology groups (coefficients in l-adic integers Z l, scalars then extended to l-adic numbers Q?), V with bases in the range 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 cohomology group...]

Cheng Nuo had an inspiration in the morning, but when he was about to leave 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 praised,
"Perfect!"

Over the past year or so, Cheng Nuo could clearly feel his progress.

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

This growth is visible to the naked eye.

Cheng Nuo can say with certainty that if he were allowed to deduce the elliptic Albert group theorem, it would definitely not take three months.

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

On the road, you can see a pair of lovers walking together arm in arm and intimately at any time.

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

"Today is Christmas!"

Cheng Nuo scanned a row of shops along the road and found Christmas trees in front of several of them, realizing that Christmas had arrived.

After more than a year of busy work, 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!! Woohoo, I finally saw snow!" In the distance, several little girls screamed.

Cheng Nuo looked up and found that there were already small snowflakes in the sky.

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

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

It took a long time for Mu Leng to reply, "It's rare, this time it took half a month to think of me."

"You know, I'm very busy here." Cheng Nuo typed weakly to reply.

"I know, I know. Professor Cheng, you are a very busy person. Little girls don't dare to disturb your work. So, you'd better stay where you are cool!"

Cheng Nuo was a little embarrassed, "Don't tease me like that. But to be honest this time, my project should be over in the near future. Next year, I can spend more time with you. Then, I plan to Get married in the second half of the year!"

After waiting for a long time, Mu Leng replied, "Hmph, no, I'm still in graduate school and I'm still getting married."

"Is there a rule that graduate students cannot get married? Anyway, no matter what your opinion is, the marriage will be settled next year. Even if it is strong, I will take you back!"

"You... scoundrel!"

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

"I'm in the dormitory, what do you want to do?"

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

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

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

(End of this chapter)