Chapter 110: Witnessing a Miracle
On the stage, Xu Chuan stood there and stopped.
The voice stopped, and the chalk in his hand rested in front of the blackboard.
And many math professors and math students in the audience were also stunned.
Stuck in your thinking? Or is there a problem with the calculations?
However, everyone can understand, after all, no one can guarantee that they will talk without any pause during the speech.
Especially for this kind of young scholar who takes the stage for the first time to give a speech, it is not only the mathematical ability that is tested, but also the huge psychological endurance.
Not everyone is a social cow, and not everyone can not be nervous when they give a speech for the first time.
In particular, there are such mathematicians as Professor Deligne, Professor Fellman, and Professor Tao Zhexuan sitting in the audience.
And more crucially, this question was raised by Professor Fairman, a Fields Medal winner, and in this case, the pressure is even greater.
So everyone waited quietly in the auditorium, waiting for the young scholar to continue his explanation.
The exceptions are top mathematicians who can read the mathematical formulas on the blackboard.
Such as Tao Zhexuan, Deligne, Fellman, Zhang Weiping and a few others, they felt a little strange about Xu Chuan's 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 that of the top masters such as Deligne, Fellman, and Tao Zhexuan, he has carefully studied and read the Weyl-Berry conjecture in the weakened form proof paper.
Therefore, his understanding of this part is not weak, and after Xu Chuan proposed to limit the fractal dimension and fractal measure spectrum of the Ω through the Dirichray domain, he also understood and accepted this new concept for the first time.
In his opinion, the calculations on the blackboard were obviously already finished, and he was just two or three steps away, even his student Miao Pingbo could perfect it, but this kid was stunned.
There is no problem with the idea, and there is no problem with the calculation on the blackboard, what is going on?
One minute.
Two minutes.
Five minutes.
Time passed little by little, Xu Chuan was still standing there, his footsteps did not move, only his posture changed slightly, and his raised right hand was put down.
After waiting for some time, there was already some commotion in the auditorium, and people began to discuss with friends and teachers around the room what was going on.
Some people think that the idea is stuck, and some think that there is a problem with the calculation step.
What's more, he felt that it was disrespectful to put an idea that had not yet been verified into a report meeting and to describe and prove it on the spot to answer Professor Fehrman's question.
This is a super bull who has won the Fields Medal.
Professor Fairman himself, however, had no such idea.
On the contrary, he saw from the equations on the blackboard and learned something new, group field, group theory, domain theory, field expansion, function transformation, these things are the purest and most fascinating things for a mathematician.
Not to mention that the young man on the stage did not fail, even if he failed, he did not have any opinions and displeasure.
Not only did he not, but he would also find the young man as soon as the report was completed, enlighten and encourage him.
And around him, Professor Deligne held the same opinion.
This is a genius in mathematics, who can solve world-class problems at the age of seventeen, and if nothing else, he can go a long way in mathematics.
The only difference was Professor Tao Zhexuan, who had been sitting on the other side, as if he had a premonition, staring closely at the equation on the blackboard, the black boy hole hidden under the black glasses flashed a streamer, he seemed to have found something, but he was not sure.
.......
Standing on the stage and in front of the blackboard, Xu Chuan stared blankly at the calculation in front of him for a full fifteen minutes.
Suddenly, he came back to his senses, and did not continue to limit the spectrum of the fractal dimension and fractal measure of the Dirichlet domain to the Ω, nor did he care about the opinions of the audience, and directly erased all the calculations on the blackboard with his sleeve.
Immediately, a piece of white chalk fell on the blackboard again, and lines of calculations kept appearing like flowing water.
Staring at the equation on the black and white, Professor Tao Zhexuan, who had been sitting there, suddenly shrank in the pitch-black Tong Kong.
His previous hunch came true!
The boy on the stage was just thinking about a full Weyl-Berry conjecture.
And now, he's challenging that world-class conjecture.
On the other side, Professor Deligne and Professor Fehrman, who had been paying attention, seemed to notice something after following the chalk in Xu Chuan's hand and landing on the equation on the blackboard.
The reaction of the two was exactly the same, staring intently at the proof on the blackboard, but it was Professor Tao Zhexuan, after confirming his thoughts, the whole person relaxed, leaned back, fell on the back of the chair, and looked at the young man on the stage with a surging smile on his face.
It seems like a lot of fun to challenge a complete world-class mathematical conjecture at a presentation in Princeton.
Will he do the same next time?
But after thinking about it, he gave up on the idea.
If it succeeds, it will undoubtedly be a good story, and it will become a story that will be passed down forever in the world of mathematics and even in the academic world.
But if it fails, it will probably become a joke in the mathematical world.
It's better to be young and courageous.
This kind of courage and aggressiveness can only be done 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, he is already in his forties, and there are many things to consider.
He could already imagine that if this teenager failed this time, those news media reporters from the outside world would not know how to report on it.
A seventeen-year-old 'genius' or 'born fool' from China who tried in vain 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 foreign media, this is definitely a good opportunity to blow the reputation of the red country on the other side and negate the other party's achievements in mathematics.
They won't miss it.
But for the mathematical community, or the academic community, courage, courage and innovation are necessary, which 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 relativity", and "mass and energy relations".
In one year, four epoch-making physics achievements have been completed, which is simply incredible.
So for this teenager on the stage, Tao Zhexuan had a trace of expectation in his heart.
The Weyl-Berry conjecture, although not well-known, is not a little more difficult.
According to the division of mathematics, its difficulty is comparable to that of the Modell conjecture derived from the Poingarian conjecture, the weak Goldbach conjecture derived from the Goldbach conjecture, the twin prime conjecture, and some of the problems in Hilbert's 23 questions.
Almost at the end of the T2 level, at the top of the T3 level.
If such a mathematical conjecture is solved by this young man on the stage today, then his achievements in the new generation are probably only slightly inferior to that of Professor Schultz, who constructed the 'p·s entry field-geometric theory'.
You must know that Professor Schultz is known in the mathematics community as the successor of the Pope of Mathematics, Emperor G, and is now not yet 29 years old, but he has already won many mathematics awards.
Even if it is the highest honor in mathematics, the Fields Medal, he will only have to wait another two years.
A professor of mathematics at the University of Bonn has commented: "Schultz has found a very concise and precise way to integrate previous work in this field, an elegant and powerful theoretical framework that can surpass almost all known results, and his breakthrough in the Langlands Program is even more astonishing with this set of results." ”
The only regrettable, or slightly "awkward", situation is that Schultz has so far not really solved a big problem in mathematics or proved a big theorem.
And his predecessors, Deligne or Faltins, at about his age, had already proved such a big problem as the Weiyin conjecture and the Moder conjecture, respectively.
Now, such a talent may be born again, and that is this teenager standing on the stage.
That as, he can figure out the Weyl-Berry conjecture.
If successful, then the Fields Medal in two years is fully expected.
A mathematical conjecture at the level of t2-t3, the importance of which is unquestionable.
But correspondingly, the teenager in front of him is also slightly flawed, that is, his current ability in the field of mathematics does not seem to be so broad.
After separating from Xu Chuan the day before yesterday, Tao Zhexuan learned about the achievements of the young man in front of him.
The IMO+IPO gold medal is a brilliant achievement, but that's only for high school students.
After that, he was able to get the results, and the weak Weyl-Berry conjecture was derived from the Weyl-Berry conjecture.
But these two conjectures belong to the same field.
Of course, that's not to say that he's not capable enough.
In fact, the young man in front of him has surpassed more than 90 percent of mathematicians in his mathematical ability.
If he can prove the Weyl-Berry conjecture today, the ratio will rise to more than 99.99 percent.
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 learn mathematics 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 today, or even in the entire Princeton University 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 achievements that they could do too well.
Even Professor Peter Schultz, who is known as the successor of the Pope of Mathematics, did not have any outstanding achievements at the age of eighteen or nineteen.
.......
"Oh, yes, I almost forgot something."
Looking at the young man on the stage, Tao Zhexuan got up and came to the side of the two professors, Deligne and Fellman, leaned over and whispered some words in their ears, and immediately won the nod of the two.
Immediately, Professor Deligne beckoned to the staff waiting on the edge of the stage.
Seeing Professor Deligne's beckoning, a young staff member immediately trotted over.
As Professor Deligne explained, the young staff member kept nodding and trotted out.
He was going to adjust the time of the briefing briefing for a short time, and temporarily block the entry of the next speaker in Auditorium 2.
As for time, when the teenager on the stage in front of him completes his proof, whether it is failure or success, time will drag on until he ends.
While this is not fair to the next presenter, fairness is not important in the face of a world-class mathematical conjecture.
At Princeton, it's all about academics.
.......
On the stage, Xu Chuan didn't pay attention to the noise and discussion below.
Soon, the blackboard in front of him was already full of derivation formulas and mathematical symbols, and just as he was about to call the staff to come with another one, he found that there were several clean and tidy blackboards around him.
On the podium, the previous fragmentary chalk box has also been replaced, replaced by a complete box of brand new white chalk.
Since this is the case, Xu Chuan did not hesitate any longer, took out a few pieces of chalk from the table without pause, and checked them on the blackboard again.
Little by little, time passed.
Ten minutes.
Half-hour.
One hour.
The movement in Hall 2 attracted the attention of the other mathematicians who were outside at the meeting, and more and more people poured into the auditorium, filling the auditorium, which was still somewhat empty and open, like a sardine can, and the latecomers could not even find a seat, so they could only stand.
But they didn't have any complaints.
It would be of great significance to see a world-class mathematical conjecture proven.
Or maybe they'll be meeting the biggest jokes and buzz in mathematics this year and years to come.
Either way, it's a 'great' thing.
.......
On stage, Xu Chuan changed a piece of chalk again.
After more than an hour of proof, he has filled four eight-sided blackboards by now, and there is not much suspense in the next one.
This time, after all, he seized the inspiration that was born when he drank cold medicine, and killed the Weyl-Berry conjecture.
On the fifth black panel, Xu Chuan breathed a long sigh of relief, raised his slightly sour right arm, and landed the pure white chalk dots on it, drawing a graceful arc.
A little cold came first, and then the gun came out like a dragon.
“n(λ)=(2π)?nwn|Ω|nλn/2? ,δμ(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."
"Therefore: there is a fractal frame that makes the boundary? Ω is measurable in this fractal framework, and the Weyl-Berry conjecture is true in this fractal framework. ”
The last bit of white chalk in his hand drew a perfect end on the blackboard, thus ending its mission and gaining the greatest glory.
On the stage, Xu Chuan exhaled a breath of turbidity as he looked at the pure white mathematical symbols on the black panel and the long proof process.
He also considered the consequences of failing to do so.
But the inspiration is there, and if you don't take advantage of this opportunity, no one knows when the next time it will appear.
Even, it will never appear again.
God will not always be kind to a person, only self-fighting.
Thankfully, this time he succeeded.
Successfully broke through the fog of chaos and found the truth of Weyl-Berry's conjecture.
.......。