Chapter 111 Witness the Miracle
On the stage, Xu Chuan stood there and stopped.
The narrating voice stopped, and the chalk in his hand stayed in front of the blackboard.
Many mathematics professors and mathematics students in the audience were also stunned.
Stuck? Or is there something wrong with the calculation?
But everyone can understand that, after all, no one can guarantee that they will talk endlessly without any pause during the speech.
Especially for young scholars who are giving speeches on stage for the first time, it is not only their mathematical ability that is tested, but also their huge psychological endurance.
Not everyone is a social expert, and not everyone can be unnervous when they go on stage to give a speech for the first time.
In particular, there are also mathematics masters such as Professor Deligne, Professor Fehrman, and Professor Terence Tao sitting in the audience.
And more importantly, this question was raised by Professor Feilman, a Fields Medal winner. In this case, the pressure is even greater.
So everyone was waiting quietly in the auditorium, waiting for the young scholar to continue explaining.
The exceptions are top mathematicians who can understand the mathematical formulas on the blackboard.
There are a few people such as Tao Zhexuan, Deligne, Ferman, Zhang Wei and others who feel a little strange about Xu Chuan's stuckness.
In particular, Academician Zhang Weiping was not only strange and curious, but also a little anxious.
Although his mathematical ability is not as good as that of top experts such as Deligne, Fehrman, and Terence Tao, he has carefully studied and read the paper on the weakened form proof of the Weyl-Berry conjecture.
Therefore, his understanding in this area is not weak, and after Xu Chuan proposed to use the Dirichlet domain to limit the fractal dimension and fractal measure spectrum of Ω, he immediately understood and accepted this new concept.
In his opinion, the calculations on the blackboard were clearly in the process of being completed, leaving only the last two or three steps. Even his student Miao Pingbo could complete it, but this kid was stunned.
There's nothing wrong with the idea, and there's nothing wrong with the calculations on the blackboard. What's going on?
One minute.
Two minutes.
Five minutes.
Time passed little by little, and Xu Chuan still stood there, without any movement in his steps. 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 people began to discuss what was going on with their friends and teachers around them.
Some people feel that their ideas are stuck, while others feel that there is something wrong with the calculation steps.
What's more, some people feel that it is disrespectful to Professor Fehrman to put an idea that has not been verified into a report meeting and describe the proof on the spot to answer Professor Fellman's question.
This is a super guy who has won the Fields Medal.
Professor Fellman himself, on the other hand, did not have any such thoughts.
On the contrary, he saw from the calculations on the blackboard that he learned some new knowledge, such as group fields, group theory, field theory, extended fields, and function transformations. These things are the purest and most fascinating for a mathematician. thing.
Not to mention that the young man on the stage did not fail. Even if he failed, he did not have any opinions or displeasure.
Not only that, he would find the young man immediately after the report meeting to enlighten and encourage him.
Next to him, Professor Deligne also held the same view.
This is a genius in mathematics who can solve world-class problems at the age of seventeen. If nothing else, he can go a long way in mathematics.
The only difference was that Professor Terence Tao, who had been sitting on the other side, seemed to have a premonition of something. He stared closely at the calculations on the blackboard. The black pupils hidden under the black glasses flashed, and he seemed to notice. Something, but not sure.
Standing on the stage in front of the blackboard, Xu Chuan stared blankly at the calculation in front of him for fifteen minutes.
Suddenly, he suddenly came back to his senses. He did not continue to calculate the Dirichlet domain to limit the fractal dimension and fractal measure spectrum of Ω. He also did not care about the opinions of the audience, and just used his sleeves. Erase all the calculations on the blackboard.
Immediately, a piece of white chalk fell on the blackboard again, and lines of calculations continued to appear like flowing water.
Staring at the calculations in black and white, Professor Terence Tao, who had been sitting there, suddenly shrank his dark pupils.
His previous hunch came true!
The young man on the stage was just thinking about the comprehensive Weyl-Berry conjecture.
Now, he is challenging this world-class conjecture.
On the other side, Professor Deligne and Professor Ferman, who had been paying attention, seemed to have noticed something after following the chalk in Xu Chuan's hand falling on the calculation on the blackboard.
The two had exactly the same reaction, staring intently at the proof process on the blackboard.
Professor Terence Tao, on the other hand, after confirming his thoughts, looked at the young man on the stage with a faint smile on his exceptionally young face.
It seems very interesting to challenge a complete world-class mathematical conjecture at a lecture at Princeton.
Should he try doing this next time?
But after thinking about it, he gave up the idea.
If it succeeds, it will undoubtedly be a good story and will become a story that will be circulated forever in the mathematics community and even academia.
But if it fails, it will probably become a joke in the mathematics community.
It's better 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, already in his forties, he has a lot to consider.
He could already imagine that if this young man failed this time, reporters from outside news media would not know how they would report this matter.
A seventeen-year-old 'genius boy' or 'natural fool' from China tried to prove a world-class mathematical problem at a mathematics 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 opposite side and deny the other side's achievements in mathematics.
They won't miss it.
But for the world of mathematics or academia, courage, aggressiveness and innovation are necessary. This is why many famous achievements in mathematics and academia appear at a young age.
For example, when Einstein was 26 years old, he wrote four epoch-making physics papers on the 'Photoelectric Effect', 'Brownian Motion', 'Special Theory of Relativity', and 'The Relationship between Mass and Energy'.
In one year, four epoch-making physics results were achieved, which is simply incredible.
Therefore, Tao Zhexuan felt a sense of expectation for this young man on the stage.
Although the Weyl-Berry conjecture is not famous, it is not low in difficulty.
According to the division of mathematics, its difficulty is the same as that of Model's conjecture derived from Poincaré's conjecture, weak Goldbach's conjecture derived from Goldbach's conjecture, twin prime conjecture, Hilbert's twenty Some of the questions in the three questions are similar.
Ranked almost at the bottom of T2 level and at the top of T3 level.
If such a mathematical conjecture were solved by the young man on the stage today, then his achievements in the new generation would probably be only as good as Schultz who constructed the 'P.S. Progressive Geometry Theory' The professor was a little less advanced.
You must know that Professor Schultz is hailed by the mathematics community as the successor of the Pope of Mathematics, Emperor G. He is not yet 29 years old, but has already won many mathematics awards.
Even for the highest honor in mathematics, the Fields Medal, he only needs to wait another two years.
Professor of Mathematics at the University of Bonn once commented: "Schulz found a most concise and precise way to integrate previous work in this field. This elegant and powerful theoretical framework can surpass almost all known results, and he The breakthrough of the "Langlands Program" using this set of results is even more amazing."
The only slight regret, or a slightly "embarrassing" situation, is that so far Schulz 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 respectively.
Now, such a talent may be born again, and that is the young man standing on the stage.
The premise is that he can solve the Weyl-Berry conjecture.
If successful, then the Fields Medal in two years' time can be expected.
A T2-T3 level mathematical conjecture, its importance 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 that broad.
After parting ways with Xu Chuan the day before yesterday, Tao Zhexuan took a look at 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, the only results he could achieve were the weak Weyl-Berry conjectures derived from the Weyl-Berry conjecture.
But these two conjectures belong to the same field of problems.
Of course, this does not mean that he is not capable enough.
In fact, the mathematical ability of the young man in front of him has surpassed more than 90% of mathematicians.
If he can prove the Weyl-Berry conjecture today, then this proportion will directly increase to more than 99.99%.
But no matter what, his age is there.
This is both his dazzling brilliance and his biggest shortcoming.
The age of eighteen means that he does not have much time to contact and learn mathematical knowledge in different fields.
However, being able to continue in one field and make breakthroughs shows that his mathematical talent is absolutely top-notch.
No one in Auditorium 2 today, or even in the entire Princeton University who came to participate in the exchange meeting today, including himself, dared to say that he was more outstanding in mathematical talent than this young man.
At least, when they were seventeen or eighteen years old, they didn't have any impressive results.
Even Professor Peter Schulz, who is known as the successor of Pope G in the field of mathematics, did not have any dazzling achievements when he was eighteen or nineteen years old.
"Oh, by the way, I almost forgot something."
Looking at the young man on the stage, Terence Tao stood up and came to the two professors Deligne and Fellman. He 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 wave, a young staff member immediately ran over.
As Professor Deligne explained, the young staff member nodded repeatedly and trotted out.
He will briefly adjust the time of the report meeting and temporarily block the entry of the next reporter in Auditorium No. 2.
As for time, when the young man on the stage in front of him completes his proof, whether it is failure or success, time will be delayed until he ends.
Although this is unfair to the next reporter, fairness is not important in the face of a world-class mathematical conjecture.
At Princeton, it's all about academic service.
On the stage, Xu Chuan ignored the noise and discussion below.
Soon, the blackboard in front of him was filled with derivation formulas and mathematical symbols. Just when he was about to call the staff for another one, he found that there were already several clean and tidy blackboards placed around him. .
On the podium, the previously fragmented box of chalk has been replaced by a complete and brand new box of white chalk.
In this case, Xu Chuan did not hesitate anymore. He took out a few pieces of chalk from the table and started checking the calculations on the blackboard again.
Time passed little by little.
Ten minutes.
half an hour.
One hour.
The movement in Auditorium No. 2 attracted the attention of other mathematicians who participated in the exchange meeting outside. More and more people poured into the auditorium, filling the originally empty and open auditorium as full as a can of sardines. 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 proven.
Or, they will face the biggest joke and conversation piece 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 proving time, he has now filled four eight-sided blackboards, and there is not much suspense about what comes next.
This time, he finally caught the inspiration he had while drinking cold medicine and put an end to the Weyl-Berry conjecture.
On the fifth black panel, Xu Chuan breathed a long sigh of relief, raised his slightly sour right arm, and put pure white chalk dots on it, drawing a beautiful arc.
"N(λ)=(2π)nωn|Ω|nλn/2Cn, δ(δ,Ω)λδ/2+o(λδ/2),."
".When N(λ)-(λ)≤∑∞/k=0, λ→+∞."
"Therefore, the Ω fractal dimension and fractal measure based on the Weyl-Berry conjecture are spectral invariants."
"So: There exists a certain fractal framework such 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 drew a perfect ending on the blackboard, thus ending its mission and gaining the greatest glory.
On the stage, Xu Chuan looked at the pure white mathematical symbols and the long proof process on the black panel and let out a breath.
Putting himself to death and living again, he also considered what consequences it would bring to him 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.
In fact, it will never appear again.
God will not always be kind to a person, you can only fight for yourself.
Fortunately, this time he succeeded.
Successfully broke through the fog of chaos and found the truth of the Weyl-Berry conjecture.
I imitated the plot of Morning Star Boss, I hope Morning Star Boss and everyone don’t mind.
Because this paragraph is so classic, I couldn’t help but want to write it.
Of course, I will definitely not write any further plot fraud or the like.
(End of chapter)