Scene.

One after another, exclamations came and went!

The people who can come to the scene today are all the top mathematicians in their own countries, and even some of them are masters of mathematics who have been famous in the world for a long time, but at this moment, seeing that the Dale conjecture that has stumped the world's mathematical community for decades without much progress has opened a new chapter in the hands of the young people of the republic in front of them, they have set off a storm in their hearts, and several foreign mathematicians in their sixties and seventies, even like children at this moment, with Zhang Ye's several most critical calculations and deductions, and cry out in surprise!

"To the fifth power?"

"N-value superposition?"

"It's so critical! This step is so crucial! ”

"It turns out that his previous formula derivation is for this step!"

"It's a genius idea!"

"This step of the calculation is simply beautiful!"

"Art, this is the art of mathematics like no other!"

It was as if the Eight-Nation Coalition had entered the city, and the scene was full of the incomprehensible languages of various countries. Zhang Ye's extremely artistic words, coupled with his incredible calculations, conquered many foreigners in the mathematics community on the scene!

Of course, this also includes domestic mathematicians.

The mathematicians of the Republic who had been fighting Zhang Ye before and even had extremely contemptuous of him in words were a little bit of a wax at this moment.

The young mathematician was silent.

Han Henian didn't say a word anymore.

Wang Yiming and Xin Ya glanced at each other, and they both knew that this was a big deal today!

Over there, an old professor looked at Zhang Ye without saying anything, his eyes were very complicated, he hesitated, and finally said loudly to Wang Yiming: "Quick, contact Elder Rong and inform Professor Qu!" He seemed to ask and said to himself, "Who of us specializes in elliptic curves and modular curves?" Tsinghua is Xiao Sun? No, he's a lot worse, who else? Oops, who's coming? "It's too big, it's too amazing, let alone him, and many mathematicians on the scene are also messed up at the moment.

A middle-aged professor with a thin face reminded: "Academician Wan of the Chinese Academy of Sciences seems to be ......"

"That's right! Academician Wan is an authority in this regard! Get in touch! The old professor slapped his forehead and remembered, "Invite all the mathematicians in related fields!" ”

Wang Yiming immediately said: "Understood! ”

Sinya also went to call and gather people.

……

"Hey, Professor Qu!"

"Oh, it's Xiao Wang, there's something going on here, I'll talk about it later."

"Don't hang up Professor Qu yet, can you come to the Summer Palace?"

"I'm in the real yàn room, I can't leave here, Summer Palace? Are you talking about today's International Youth Mathematics Competition? Why do I have to go over? I'll talk about it in the evening. ”

"I can't wait for the evening, the American mathematicians came up with the Dell conjecture at this year's exchange event, and now, someone is arguing, and part of the argument has been demonstrated, and the Dell conjecture has been simplified by a big step, please come here to help verify the calculation!"

"What did you say!?"

"It's true, we are also contacting Academician Wan and Elder Rong."

"Who's checking the calculations? Which country is the mathematician? ”

"Yes...... It's our country! ”

"Hahaha! Good! Good! Good! I'll go right over! ”

"Please!"

……

"Hey."

"Hello, who are you looking for?"

"Is Elder Rong here? I'm Sinya. ”

"Oh, it's Professor Xin, my grandfather is talking to a friend, if something happens, you sue me? Shall I convey it to you for you? Why don't you let grandpa call you later? ”

"The matter is very urgent, please tell Rong Lao, this International Mathematics Competition, someone is cracking the Dale conjecture, and the demonstration has been completed by about 20%!"

"Huh? Dale conjecture? ”

"Yes, those verifications that require a huge amount of calculations, I want to invite Rong Lao out of the mountain."

"You wait for Professor Xin, I'll tell Grandpa Sù right away!"

It took about a few minutes.

"Hey, Xiao Xin."

"Elder Rong, I'm sorry to disturb you!"

"Don't bother, I've heard my grandson say things, I'll ask one thing now, which country is it that is proving Dale's conjecture? It's a foreigner...... Or your own people? ”

"It's your own people!"

"Good! Very good! You guys are waiting for me! Hahahaha! ”

"With you in charge, we are down-to-earth!"

……

A phone call.

Five calls.

Ten calls.

They not only contacted some of the most famous authoritative experts in the field of mathematics, but also contacted several mathematics-related institutions, because they needed some professional computer and human team support, although Zhang Ye's calculations and calculations, some of them understood, and they also felt that it was smooth and feasible, but after all, mathematics is the most rigorous science, and no mistake can be made in any place, and it requires extremely rigorous verification and demonstration. Team support is of course extremely important.

And there are also categories of mathematics.

There are those who study linear algebra, there are those who focus on equation functions, and so on, although at their level, every mathematician must know some outside the main research and field, and even for some categories are still very proficient, but there is still a big difference between mastery and authority, few people are omnipotent in the field of mathematics, there is always a bias, for example, like those singers, some people are professional singers of love songs, if you let him sing rock and roll, people can sing it, And it's definitely better than other non-professional singers, but after all, it's not a professional rock singer, so you always have to discount it a little, which is the same as the field of mathematics. Naturally, for such a critical operation as the Dale conjecture, it must be the most authoritative people in various fields of mathematics.

The same is true for those foreign mathematicians around me, many of them have made phone calls to contact friends or mathematicians in their own countries, some are informing them of the big events that are happening here, and some are not understanding some calculations, and discussing with friends in the mathematical community in their own countries.

“（#%？”

“%#@…… ￥！ ”

Foreign languages are everywhere, and the atmosphere is like a United Nations meeting!

In the end, even the American Louis took a deep breath, picked up the phone, and called back to an old friend in the United States after staring blankly at the few questions written by Zhang Ye for more than ten minutes, "Smith, it's me, you have to be mentally prepared, Dale guessed...... There may be a heavy dà breakthrough! ”

He didn't say anything full, because he hadn't done the later calculation, so whether this heavy breakthrough could stand the test or not, and further argumentation was needed, even if he relied on his experience and judgment, he was already eighty or ninety percent sure that there was no problem with the other party's calculation, but who knows if there would be an accident?

And he is still a little incredulous, as a mathematician, of course he knows that there is no unsolvable conjecture in the field of mathematics, the emergence of a rigorous conjecture will definitely be demonstrated, either the conjecture is true, or the conjecture is not true, it is nothing more than that the time has not come, it is nothing more than that the person who can crack it has not yet appeared, but now, Dale conjecture has been made a major breakthrough by a young man who is still a republic, but he is not very acceptable, They also have a large number of people in the United States who have been tackling this conjecture, and for the study of Dale's conjecture, he believes that the United States is ahead of any country, and this conjecture itself was put forward by them Americans, but now, the facts in front of him have knocked on his strong sense of superiority!

……

The change in the scene is not unpleasant.

From everyone's disdain and ridicule before, to the shock and appalling now, it only took more than an hour, why can Zhang Ye's several question boards cause such a big shock? The reason is that Zhang Ye did not follow the old path of overcoming the Dale conjecture in the world mathematics community in the past, but opened up another road and put forward his own theoretical direction, which actually simplified the Dale conjecture into another kind of argument!

The conjectures are as follows:

If p is a prime number and E is an elliptic curve over Q (rational number field), the equation modulo p that defines E can be simplified; In addition to the finite p-values, an elliptic curve is obtained on the finite field Fp with np elements. ap=np–p。 This is an important invariant of the elliptic curve E. Each modulo also produces a sequence. An elliptic curve whose sequence is identical to that obtained from the modular form is called modular.

It seems to be incompatible with Dale's conjecture, but in fact, when Zhang Ye wrote the analytical formula to solve it, everyone was shocked to find that a special case of this conjecture - the case of semi-stable dìng elliptic curves is directly related to Dale conjecture, corresponding to Dale conjecture that any example will lead to a non-modular elliptic curve. It can be said that as long as this can be proved, as long as it can be proved that the conjecture put forward by Zhang Ye is even just an argument for this special case, the Dell conjecture is basically eighty or ninety percent true!

Even if it can't be proven, just the things and ideas that Zhang Ye is proposing now are enough to cause a sensation in the mathematical community, which is why all mathematicians are so shocked!

This is the finishing touch!

It can even be said to be a key stroke of the gods!

And this stroke was drawn by Zhang Ye, in order to verify Dale's conjecture, he opened a new door to the world, and this contribution has been great!

But Zhang Ye didn't seem to be satisfied, so it ended here.

Brushing and brushing, Zhang Ye was not affected by other people's calls and exclamations at all, and pulled a new blank blackboard and continued to write.

A French teenager opened his mouth wide, "He's still writing?" ”

A British girl said: "Can you still calculate? ”

A teenager over there in the United States sighed, "He, doesn't he have to think?" Why is there no pause at all? This...... That's too fast! ”

There are no jams!

There is no sign of any thinking either!

Zhang Ye is moving his pen so quickly, and after simplifying the Dell conjecture, he is still constantly overcoming it, and the Dell conjecture is constantly advancing little by little!

"Hey, that's the formula!"

The mathematicians were shocked!

"Ah, that's ......"

The mathematicians shook again.

"The third curve?"

The mathematicians are three shocks!

"Mental arithmetic eleven times?"

The mathematicians ...... Non-stop earthquakes!

Looking at the back of the young man of the Republic, a thought arose in the hearts of all the mathematicians present that frightened them all - I, this person can't really solve Dale's conjecture in one go???