Chapter 457

Chapter 460

interesting things?

Many mathematicians have a slightly puzzled expression.

Cheng Nuo did not mean to interest mathematicians.

He smiles, turns around, picks up a piece of chalk and writes a series of formulas on the small blackboard hanging on the side of the stage.

Let a be a topological ring and a be a continuous group homomorphism of n-dimensional Galois representation over. Then:

homomorphic mapping: GQ → Gln (a)

mapping relationship: e ^ p ^ (n + 1) → E [P ^ n]

reverse limit: TP (E): = lime [P ^ n]

let KP ∞ Q be an extension of the kernel Ker ρ P corresponding to the homomorphic mapping: ρ P: GQ → Gl2 (ZP), that is 】

originally, the mathematicians under the stage were all holding their arms one by one, and their eyes were faintly scanning the lines of formulas, and their looks were ancient.

They just want to see what new tricks Cheng can come up with.

But as time went on, the expressions on mathematicians' faces became more and more calm.

One by one, the body leans forward, and his eyes scrupulously scan the series of formulas written down by Nuo. At the same time, he says something in his mouth, and he doesn't know what he is saying.

【…… The absolute Galois group GQ acts on the Tate module TP (E) such that α ζ = ζ + 1 - | e (FT) |]

in this paper, Cheng Nuo stops writing.

Feeling his chin and thinking for a few seconds, Cheng Nuo heavily drew two lines under the last line of formula.

Dong Dong!

Cheng Nuo knocked on the blackboard and pulled the mathematicians back.

He pointed to the formula that occupied half of the small blackboard and said with a smile, "this is the interesting thing I said."

"In a nutshell, if e is an elliptic curve on Q and l is a set of prime numbers with good reduction, then the sequence of integer numbers (α ζ) ζ∈ l can be defined, that is, the DNA sequence of elliptic curve. All ft rational points of E are equal to the number of Solutions + 1!"

Cheng Nuo voice dropped, the group of mathematicians below whispered with each other.

A mathematician raised his hand and asked, "Mr. Cheng Nuo, is this a new theorem you have deduced?"

Cheng Nuo shook his head. "No, it's not. Because I haven't figured out a way to prove it. But I've run it on a supercomputer at the Institute and found that this formula holds for 248000

"Because this formula explains the relationship between complex rings, I temporarily named it Cheng's complex ring conjecture!" Cheng Nuo explains with a smile.

Cheng's complex ring conjecture!

Many mathematicians can't help but stare.

It seems hard to believe why such a conjecture suddenly and inexplicably emerges.

As geometric mathematicians, especially among the top ones in the world, they are naturally aware of goods.

This "Cheng's complex ring conjecture", they read Cheng Nuo's formula written on the small blackboard several times from the beginning to the end.

Cheng's complex ring conjecture is to use Galois representation method to connect equations on finite field with elliptic curve on complex field.

We should know that complex field geometry has always been a desert area in the field of geometry. Although it is a major direction, it is too complicated to study, and it is too difficult to produce results. No one is willing to study this direction painstakingly.

The complexity of complex field geometry lies in the complexity of representing unit torus.

Cheng's complex ring conjecture perfectly connects the most common finite field equations and ellipses in complex field by formula.

It is equivalent to leading a tributary of the ocean into the dry desert, so that this barren desert is full of vigor and vitality.

No matter how dull their minds were, they understood the meaning of the conjecture.

Cheng's conjecture is no less than one of the seven conjectures, which can not be overstated.

After all, Hodge's conjecture is only difficult to prove, and its academic significance is less than several conjectures juxtaposed with it.

On the stage, Cheng Nuo stands leisurely.

Under the stage, dozens of mathematicians have different expressions.

But on the other hand, the Cray Institute of mathematics, who came to chair the progress report, did not know whether to be happy or sad.

The proposition of Cheng's complex ring conjecture is a great good thing for geometry and even for mathematics.

But!

The purpose of bringing Cheng Nuo here is to prove the conjecture of Gushan village!

Now?

If Gushan Zhicun's conjecture has not been proved, it's all right. What's more, he put forward a conjecture!

People at Cray's Institute of mathematics are crying.

Originally, proving eight conjectures was beyond their grasp. Now, adding another one is simply making the "cleaning plan" more difficult for them.…………

Professor Black's face was now blue and purple.

He found that he really underestimated Cheng Nuo.

Their "geometric conjecture" proves that the research results of the group in the past three months are not worth mentioning in front of Cheng Nuo's "Cheng's complex ring conjecture".

However, he didn't want to let a boy who was not half his age take the spotlight of the report meeting. After hesitating for a few seconds, he asked Cheng Nuo on the stage, "Mr. Cheng Nuo, your Cheng's complex conjecture is of great research value, but I can't think of it. What's the connection between this and Gushan Zhicun's conjecture?"

"Mr. Black asked a good question." Cheng Nuo looks the same, Lang Sheng said, "at first glance, it seems that the two conjectures have no connection at all, but what I need to tell you is that the two conjectures are not only related, but also extremely close."

Cheng Nuo swished a few formulas on the other half of the blank blackboard.

"I'm afraid you'll be familiar with this formula, which was used by Mr. wiles in proving Fermat's theorem. Its academic name is "Frey proposition."

"Using Frey's proposition as a bridge, we can perfectly combine Gushan Zhicun's conjecture and Cheng's complex ring conjecture. If Gushan Zhicun conjecture is not tenable, the rational point of complex field ellipse in Cheng's complex ring conjecture can not be equal to the number of solutions of finite field equation plus one. And vice versa! "

Under the stage, a mathematician with bald hair suddenly said, "in other words, if Gushan Zhicun's conjecture is true, then Cheng's conjecture will be true; if Cheng's conjecture is true, then Gushan's conjecture will be true?"

Cheng Nuo pointed to the mathematician, "yes, that's it."

WOW!

Off the stage, for the first time.

Some young mathematicians, looking at Cheng Nuo's eyes have been full of admiration.

Without lifting his head, Professor Blake took out a piece of draft paper and quickly calculated it according to Cheng Nuo's method. At last, he was disappointed to find that the fact was just like Cheng Nuo's.

Both Gushan Zhicun conjecture and Cheng's complex ring conjecture are in one, one of which is tenable and the other is bound to be true.

Therefore, Cheng Nuo's work does not need two proofs, only one of them.

…………

www.novelhold.com , the fastest update of the webnovel!