Chapter 406

"Unfortunately, I proved it. ”

Cheng Nuo's voice echoed in the empty small auditorium, causing everyone present to fall into a momentary distraction.

They seem to have heard something terrible.

Professor Russell's breath on the stage suddenly stagnated, and he looked at Cheng Nuo's tall figure and was silent for more than ten seconds.

Then, he laughed and said, "This gentleman, you're joking, aren't you?"

If Cheng Nuo said that there is no solid evidence for the conclusion he said before, and he just stays at the stage of "conjecture", then at most it proves that Cheng Nuo's brain hole is big enough.

It is important to know that not all conjectures have the same high status in mathematics as Goldbach's conjecture and Riemann's conjecture, especially since the conjecture was made by a mere graduate student.

But if Cheng Nuo really has a way to prove the "conjecture" he said, then the nature will change, and it will become a "theorem".

"Conjecture" and "theorem" are two completely different concepts.

The practicability of the "conjecture" is pitiful, but the "theorem" is different, no matter how simple the theorem is, the application performance is much better than the "conjecture".

Moreover, the "theorem" proposed by Cheng Nuo is not a bad street.

A common property of Zata functions of non-singular algebraic clusters in a general sense.

This not only reveals a profound connection between the arithmetic of algebraic clusters defined on finite fields and the topology of complex algebraic clusters, but also illustrates that the method of cohomology in topological space is equally applicable to clusters and generalizations.

As a mathematician in geometry, Russell knew what this theorem meant.

Geometry can carry out a deeper study of representation theory and automorphism theory through the homology method of topology.

At the same time, the ring mapping problem that has been plaguing the automorphism domain of Frobenius will be solved. Motive tools for algebraic topology and algebraic geometry will be added again.

In addition, since the core of the theorem is still the Zata function, the proof of the Riemann conjecture will also provide another novel idea.

In short, as long as Cheng Nuo can prove that this conclusion is a "theorem", it will definitely cause a storm in the field of geometry.

"Are you kidding?" Cheng Nuo shrugged and said, "Mr. Russell, I don't have the intention of joking. ”

Russell's brows furrowed tightly, "Then you ......"

"It's a nuisance. Cheng Nuo walked directly to the stage in front of the auditorium, and said as he walked, "Forget it, I'll prove it to you." ”

As he spoke, Cheng Nuo strode onto the stage and said to Myron, a young man who was still stunned next to him, "Is there chalk?"

"Oh, yes, yes. Myron short-circuited for a few seconds, and handed Cheng Nuo a box of chalk from the side in a daze.

For convenience, the hotel has long installed blackboards on the wall of the auditorium podium that are pulled up and down on all sides.

Cheng Nuo ignored the dull eyes of Russell and the more than 20 mathematicians in the audience, and wrote on the blackboard with his own thoughts:

[Let X be a d-dimensional smooth projective cluster on Fq, then the Zata function Zx(T) is a rational function, i.e., Zx(t)∈Q(T), more precisely, Zx(T) can be written as follows:

Zx(T)=∏Pi(T)^(-1)^(i+1)=P1(T)P3(T)...... P2d-1(T)/p0(T)P2(T)...... P2d(T), where P0(T)=1-T and P2d(T)=1-q^dT.】

[For 1≤i≤2d-1, Pi(T)∈1+TZ[T] are integer coefficient polynomials, and Pi(T) can be decomposed into ∏(1-aijT),aij∈Z. in C[T]

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

[The Zata function Zx(T) satisfies the equation of the following function: Zx(1/q^dT)=€q^dx/2T^xZx(T), where €=±1 and x are Euler's indicative numbers of X, equivalent, if Zx(T): =Zx(T)T^x/2 and ζ(s)=Zx(q^(-s)), then ......]

【...... From the above, it can be seen that for the Zata function on a general projective nonsingular algebraic cluster, it has the following three properties:

(1): Zx(T) is a rational function

(2): Satisfy the functional equation

(3): The zero point of the Zx(T) function has a specific form.

Done!]

It took more than ten minutes for Cheng Nuo to fill all four blackboards.

At the same time, at the end, Cheng Nuo wrote down the word "Certification".

There was silence.

The entire auditorium was plunged into an eerie quiet atmosphere, and pins could be heard.

More than 20 mathematicians in the audience, either complicated or shocked, stared at Cheng Nuo tightly.

Professor Russell swallowed hard, a look on his face that didn't know whether to laugh or cry. He asked in a hoarse voice, "How did you come up with this?"

Cheng Nuo spread his hands, "I naturally thought of it!

Professor Russell: "......"

"What, now believe that what I said is correct, right?" asked Cheng Nuo.

Professor Russell: "It's too short, and it will take some time to verify. ”

Cheng Nuo waved his hand, "Then you continue to verify, I'll withdraw first." ”

"You're not waiting for the verification results?"

"Nope. Not necessarily. ”

"Alas, wait. ”

"Anything else?"

"Can you leave your name. ”

"My name is Cheng Nuo. ”

After saying these four words, Cheng Nuo hurriedly left the small hall from the main entrance.

The more than 20 mathematicians looked at Cheng Nuo's back, feeling that the three views had been destroyed in just ten minutes.

Is even a hotel waiter so scary now? Just come up with a theorem. It's just a group of mathematicians who claim to be mathematicians who make mathematics their profession and rub them on the ground like crazy!

However, the most important issue now is to verify whether the theorem proposed by Cheng Nuo is correct.

Judging by the rigorous proof process on the blackboard, they feel that they are likely to become witnesses to history......

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

When Tan pushed open the door of Cheng Nuo's room slightly, he saw Cheng Nuo packing his clothes into the suitcase.

Tan wondered slightly, "What are you doing here?"

Cheng Nuo replied without looking up, "I'm going to run away." ”

"Running away?" Tan was slightly more puzzled, "The International Congress of Mathematicians is still a few days away, what are you going back for?"

"Alas!" Cheng Nuo pulled the zipper of the suitcase, sat on it, and shrugged his shoulders, "I accidentally made a big one, and my identity should be exposed." ”

Tan Weiwei: "It's a big one? Could it be that you are making trouble at other mathematicians' lectures?"

Cheng Nuo: "That's pretty much it, do you remember the Professor Russell I met on the plane, I kindly went to cheer him on, but he didn't say it, so he called me up to ask questions for some reason." ”

Tan Weiwei: "And then you asked?"

Cheng Nuo: "No. He didn't make me feel better, and I couldn't make him comfortable, so I scolded him a few times in front of everyone, and then proved a theorem by the way?"

Tan Weiwei: "???"

By the way, a theorem was proven?!!

"By the way, you should also be careful, don't be in the limelight, I'll withdraw first. Cheng Nuo hurriedly finished speaking, and then disappeared from Tan Weiwei's sight with his suitcase.

Downstairs from the hotel.

Cheng Nuo looked at the building and swore secretly in his heart.

"Next time, I will definitely participate in this feast of mathematics!"