Great Country Academician
Chapter 111 Witnessing a Miracle
On the stage, Xu Chuan stopped there.
The voice of the narration stopped, and the chalk in his hand also stayed in front of the blackboard.
Many mathematics professors and students in the audience were also stunned.
Stuck in your thoughts? Or is there a problem with the calculation?
But everyone can understand, after all, no one can guarantee that they will be able to speak without any pause during the speech.
Especially for young scholars who are giving speeches on stage for the first time, the test is not only mathematical ability, but also a huge psychological endurance.
Not everyone is socially awesome, and not everyone can be calm when they give a speech for the first time.
In particular, there are mathematics experts such as Professor Deligne, Professor Fellman, and Professor Terence Tao sitting in the audience.
And more importantly, this question was raised by Professor Fellman, a Fields Medal winner. In this case, the pressure is even greater.
So everyone waited quietly in the auditorium, waiting for the young scholar to continue to explain.
The exceptions are top mathematicians who can understand mathematical formulas on the blackboard.
There are a few people like Tao Zhexuan, Deligne, Fairman, Zhang Weiping, etc. They feel a little strange that Xu Chuan is stuck.
Academician Zhang Weiping, in particular, was not only strange and curious, but also a little anxious.
Although his mathematical ability is not as good as those of Deligne, Ferman, and Terence Tao, he has carefully studied and read the Weyl-Berry conjecture in weakened form proof papers.
Therefore, the understanding in this area is not weak, and after Xu Chuan proposed to limit the fractal dimension of Ω and the spectrum of fractal measures through Dirichlet domain, he also understood and accepted this new concept immediately.
From his point of view, the calculations on the blackboard are already being finalized, and there are only two or three steps left. Even his student Miao Pingbo can complete it, but this boy is stunned.
There is no problem with the train of thought, and there is no problem with the checking calculation on the blackboard. What's wrong?
One minute.
two minutes.
five minutes.
Time passed bit by bit, Xu Chuan was still standing there, his footsteps did not move, only his posture changed slightly, and his raised right hand was lowered.
After waiting for some time, there was already some commotion in the auditorium, and some people began to discuss with friends and teachers around what was going on.
Some think that the thinking is stuck, and some think that there is a problem with the calculation steps.
What's more, I feel that it is disrespectful to Professor Fellman to put an idea that has not been checked and put it on the report to describe the proof on the spot to answer Professor Felman's question.
This is a super big bull who has won the Fields Medal.
Professor Fairman himself didn't have any such thoughts.
On the contrary, he saw from the calculations on the blackboard and learned some new knowledge, group field, group theory, field theory, field extension, function conversion, these things are the purest and most fascinating for a mathematician thing.
Not to mention that the young man on the stage didn't fail, even if he failed, he didn't have any opinions or displeasure.
Not only did he not, he would find the young man as soon as the report was completed, enlighten and encourage him.
And beside him, Professor Deligne also held the same opinion.
This is a genius in the mathematics world. He can solve world-class problems at the age of seventeen. If there is no accident, he can go a long way on the road of mathematics.
The only difference is that Professor Tao Zhexuan, who has been sitting on the other side, seems to have a premonition, staring closely at the calculation formula on the blackboard, a stream of light flashed through the black pupils hidden under the black glasses, he seemed to find something, but not sure.
Standing on the stage and in front of the blackboard, Xu Chuan stared blankly at the formula in front of him for fifteen minutes.
Suddenly, he suddenly came back to his senses, and he did not continue to limit the spectrum of Dirichlet's fractal dimension and fractal measure to Ω, nor did he care about the opinions of the audience, and directly used his sleeve Erase all the calculations on the blackboard.
Immediately, a piece of white chalk landed on the blackboard again, and lines of calculations continued to appear like flowing water.
Staring at the calculation formula on the black and white, Professor Tao Zhexuan, who had been sitting there, suddenly shrank his dark pupils.
His previous premonition came true!
The teenager on the stage was thinking about the full Weyl-Berry conjecture just now.
And now, he is challenging this world-class conjecture.
On the other side, Professor Deligne and Professor Fellman, who had been paying attention, seemed to have noticed something after following the chalk in Xu Chuan's hand and falling on the blackboard.
The two reacted exactly the same, staring intently at the proof process on the blackboard.
On the contrary, Professor Tao Zhexuan, after confirming his thoughts, looked at the young man on stage with a faint smile on his extraordinarily young face.
It seemed fun to challenge a complete world-class mathematical conjecture at a Princeton lecture.
Should he try doing the same next time?
But after thinking about it, he gave up the idea.
If it is successful, it will undoubtedly be a good story, and it will become a story that will be circulated forever in the mathematics world and even in the academic world.
But if it fails, it will probably become a joke in the mathematics world.
It's good to be young and have courage.
This kind of courage and aggressiveness can only be achieved by a young man in his twenties.
If this kind of thing is given to him, even if he is sure, he may not be able to do it.
After all, at his age, in his forties, there are many things to consider.
He could already imagine that if the boy failed this time, the outside news media reporters would not know how to report the matter.
A seventeen-year-old "genius boy" or "natural idiot" from Huaguo tried to prove a world-class math problem at a math exchange meeting, and finally fled back to his country with his tail between his legs?
For the foreign media, this is definitely a good opportunity to attack the reputation of the red country on the other side and deny the other party's achievements in mathematics.
They won't miss it.
But for the world of mathematics, or academia, things like courage, aggressiveness, and innovation are necessary, which is why many famous achievements in the world of mathematics and academia appear at a young age.
For example, Einstein, at the age of 26, wrote four epoch-making physics papers on "photoelectric effect", "Brownian motion", "special relativity", and "mass and energy relationship".
In one year, four epoch-making physics achievements were completed, which is simply incredible.
So for this young man on stage, Tao Zhexuan had a little expectation in his heart.
Although the Weyl-Berry conjecture is not well-known, its difficulty is not low.
Calculated according to the division of the mathematics world, its difficulty is comparable to that of the Model conjecture derived from the Poincaré conjecture, the weak Goldbach conjecture derived from the Goldbach conjecture, and the twin prime number conjecture, Hilbert 20 Some of the questions in the three questions are equivalent.
It's almost at the end of T2 and at the top of T3.
If such a mathematical conjecture is solved by this young man on the stage today, his achievements in the new generation may only be better than that of Schultz who constructed the "P·S Advancement-Geometric Theory" The professor is a little less.
You must know that Professor Schultz is hailed by the mathematics community as the successor of Pope G of mathematics. He is not yet 29 years old, but he has already won many mathematics awards.
Even if it is the highest honor in the mathematics world, the Fields Medal, he just needs to wait another two years.
A professor of mathematics at the University of Bonn once commented: "Schulz found an extremely concise and precise way to integrate previous work in this field. This elegant and powerful theoretical framework can surpass almost all known results, and his The breakthrough of the "Langlands Program" using this set of results is even more amazing."
The only slightly regrettable, or slightly "embarrassing" situation is that so far Schultz has not really solved a big problem in mathematics or proved a big theorem.
And his predecessors, Deligne or Faltings, when they were about the same age as him, had already proved such big problems as Weil's conjecture and Model's conjecture.
Today, such a talent may be born again, and that is this young man standing on the stage.
The premise is that he can solve the Weyl-Berry conjecture.
If successful, then the Fields Medal two years later can be expected.
The importance of a T2-T3 level mathematical conjecture is beyond doubt.
But correspondingly, the young man in front of him also has a slight flaw, that is, his current ability in the field of mathematics does not seem to be so broad.
After parting with Xu Chuan the day before yesterday, Tao Zhexuan learned about the achievements of the young man in front of him.
Although the IMO+IPHO gold medal results are brilliant, they are only for high school students.
After that, he was able to achieve good results, which was the weak Weyl-Berry conjecture derived from the Weyl-Berry conjecture.
But these two conjectures are problems in the same field.
Of course, this is not to say that he is not capable enough.
In fact, the math ability of the boy in front of him has surpassed more than 90% of mathematicians.
If he can prove the Weyl-Berry conjecture today, then this ratio will directly increase to over 99.99%.
But anyway, his age is there.
This is not only his dazzling brilliance, but also his biggest shortcoming.
The age of eighteen means that he does not have much time to get in touch with and learn mathematics knowledge in different fields.
However, being able to go on in one field and make a breakthrough shows that his mathematical talent is absolutely top-notch.
No one in auditorium No. 2, or even the entire Princeton University, who participated in the exchange meeting today, including himself, dared to say that he was better than this boy in terms of mathematical talent.
At least, when they were seventeen or eighteen years old, they didn't have any outstanding achievements.
Even Professor Peter Schulz, who is known as the successor of Pope G in the mathematics world, did not have any dazzling achievements when he was eighteen or nineteen years old.
"Oh, yes, I almost forgot one thing."
Looking at the teenagers on the stage, Terence Tao got up and came to the side of the two professors Deligne and Ferman, leaned over and whispered something in their ears, and immediately won their nods.
Immediately, Professor Deligne waved to the staff waiting at the edge of the stage.
Seeing Professor Deligne's beckoning, a young staff member immediately trotted over.
Following Professor Deligne's explanation, the young staff member kept nodding, and then trotted out.
He will briefly adjust the time of the report meeting, and temporarily block the entry of the next speaker from auditorium No. 2.
As for the time, when the young man on the stage in front of him completes his proof, no matter whether he fails or succeeds, time will be delayed until he finishes.
Although this is not fair to the next reporter, fairness is not important in the face of a world-class mathematical conjecture.
At Princeton, everything is in the service of academics.
On the stage, Xu Chuan ignored the noise and discussion below.
Soon, the blackboard in front of him was already filled with derivation formulas and mathematical symbols. Just as he was about to call the staff for another one, he found that there were several clean and tidy blackboards around him. .
And on the podium, the previously fragmented chalk box has also been replaced, replaced by a complete new box of white chalk.
In this case, Xu Chuan did not hesitate any longer, took out a few pieces of chalk from the table without pausing, and checked the calculation on the blackboard again.
Time passed bit by bit.
ten minutes.
half an hour.
One hour.
The movement in the No. 2 auditorium attracted the attention of other mathematicians who participated in this exchange meeting outside. More and more people poured into the auditorium, filling up the originally empty and open auditorium, like sardine cans. The latecomers couldn't even find a seat and had to stand.
But they didn't have any dissatisfaction.
It is a very meaningful thing to see a world-class mathematical conjecture proved.
Or, they will meet the biggest jokes and conversations in mathematics this year or in the next few years.
Either way, it's a 'great' thing.
On the stage, Xu Chuan changed a piece of chalk again.
After more than an hour of proof time, up to now, he has filled four blackboards with eight sides, and there is not much suspense about what will happen next.
This time, after all, he seized the inspiration that was born when he drank cold medicine, and killed Weyl-Berry's conjecture.
On the fifth black panel, Xu Chuan let out a long sigh of relief, raised his slightly sore right arm, and put pure white chalk dots on it, drawing a beautiful arc.
"N(λ)=(2π)nωn|Ω|nλn/2 Cn,δ(δ,Ω)λδ/2 +o(λδ/2),."
".When N(λ)-(λ)≤∑∞/k=0, λ→+∞."
"Therefore, the omega fractal dimension and fractal measure based on the Weyl-Berry conjecture are spectrally invariant."
"Therefore: there exists a certain fractal framework, so that the boundary Ω is measurable under this fractal framework, and the Weyl-Berry conjecture is established under this fractal framework."
The last bit of white chalk in the hand draws a perfect ending on the blackboard, thus ending its mission and gaining the greatest glory.
On the stage, Xu Chuan let out a sigh of relief looking at the pure white mathematical symbols on the black panel and the long proof process.
He also thought about the consequences if he failed to do so.
But the inspiration is there. If you don't seize this opportunity, no one knows when it will appear next time.
Even, it will never appear again.
God will not always treat a person favorably, only to fight for oneself.
Fortunately, this time he succeeded.
They successfully broke through the fog of chaos and found the truth of Weyl-Berry's conjecture.
I imitated the plot of the morning star boss, I hope the morning star boss and everyone don't mind.
Because this paragraph is so classic, I can't help but want to write it.
Of course, I will definitely not write about the falsification of the plot later.
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