Chapter 112 Huge impact, Lin’s conjecture shocked the world of mathematics

Later, Lin Xiao continued to get to know several other well-known professors, including Professor Sarnak, Professor Wiles, etc. It was also the first time for him to meet Professor Sarnak. He was very grateful to Professor Nack for his original evaluation of his paper.

Professor Wiles complained a little about Deligne's interruption of his speech just now, but Lin Xiao also learned about Professor Wiles' catchphrase from several other professors.

That is "When I first proved Fermat's last theorem...".

Lin Xiao couldn't laugh or cry about this, but it was understandable. After all, Wiles was the only person to be awarded the Fields Special Medal, so it was understandable that he often mentioned this matter.

And the reason why Wiles is so proud of this achievement is also related to his fate with Fermat's Last Theorem, because he has been exposed to Fermat's Last Theorem since he was 10 years old, and then he thought that one day he would be able to complete it. This problem was proved, and it was not until he was forty-one years old that he finally realized his childhood dream.

I believe that for anyone, such an achievement is something worth remembering for a lifetime.

While they were chatting, several people around them came up and took the initiative to chat with Lin Xiao, and two of them were the two Fields Medal winners from this International Congress of Mathematicians.

Obviously, Lin Xiao's performance in today's report made them willing to take the initiative to get to know each other.

When other people around looked at them, they couldn't help but envy Lin Xiao. He was able to have intimate conversations with so many great people. Generally speaking, there was only one other great person.

But Lin Xiao is still not a great person now. This matter is another matter for another time. But for all of them, Lin Xiao's age has destined that his status in the future academic community will not be very low.

As Professor Wiles just said, ‘Professor Lin of the future’.

Maybe he will become a future Philippine Award winner in the future?

…

In the middle of the auditorium, a dozen students looked at Lin Xiao, who was chatting with other famous mathematicians at the front, as if they were looking at gods.

"Did Lin Shen come up with a conjecture?" an undergraduate said blankly.

"Yes, it is a conjecture, and it is also a very important conjecture."

Another doctoral student nodded, his tone full of disbelief: "Algebraic geometry bridges the gap between algebra and geometry, and the modern algebraic geometry laid down by Grothendieck unified mathematics in a partial sense, and Lin Shen's Conjecture will make this unification go one step further."

"This requires a thorough connection between functions and geometry..."

Listening to this senior's words, the others were confused. Obviously not all of them studied algebraic geometry.

"I can only say that 666 is awesome."

"New conjecture... Lin Shen just solved Zhou's conjecture and the distribution law of Mersenne prime numbers, then turned around and proposed a new conjecture, and even asked Professor Deligne to thank him for raising this question... What am I It would be nice to have one-tenth of the forest god."

"Don't be a tenth, one percent is enough."

"Alas, is the gap between people so big?"

They all sighed, especially when they thought about Lin Xiao's age, he hadn't even gone to college yet.

If he goes to college again, he will probably be like a full-level boss entering the novice village.

I don’t know how much pressure the students who will be Lin Xiao’s classmates will feel.

"There is not much difference between people, but there is a big difference between people and gods."

Someone comforted me.

"……makes sense."

At this time, Dean Yuan Ya greeted: "Okay, everyone is ready to leave."

The students agreed and then began to pack their things. In order to show that they were listening carefully, almost everyone brought a notebook, but obviously they did not write down anything useful.

Secretary-General Gong Zhou asked at this time: "Don't we have to wait for Lin Xiao?"

"No need to wait. Judging from his condition, he may have to have a drink with those professors later."

Yuan Ya pointed to the front and waved his hand, "Those foreigners like this."

"Oh." Gong Zhou nodded, but still looked ahead and couldn't help but said: "It's really worrying."

Yuan Ya was stunned and asked, "What are you worried about?"

"What if Lin Xiao is abducted abroad by them? This will be a loss to our domestic mathematics community. It is not easy to produce such a talent..."

Yuan Ya was silent for a moment and shook his head: "We can't control this kind of thing."

When Gong Zhou heard this, he also sighed.

"really."

Regarding the domestic general environment, each of them knows what the situation is, but precisely because it is the general environment, no one can change this situation.

After all, people are free. For example, during the former Soviet Union, some scientists in the former Soviet Union won the Nobel Prize, but were also prohibited from receiving the award by the Soviet authorities. Of course, this does not rule out that this was to protect their scientists and avoid being targeted behind their backs after going abroad. Shoot yourself.

But to outsiders, it is obviously a foolish approach for the government to prevent people from receiving honors, especially in modern times.

Therefore, it is impossible for the country to require domestic people to return to the country.

"You can only trust him for the time being."

Yuan Ya shook his head: "Even if you go abroad for a while, just remember to come back."

"Maybe he went out again after coming back?"

At this time, Xu Chen next to him said something.

Yuan Ya smiled and said: "They are all willing to come back, which means that their hearts are still in China."

"It also depends on whether the domestic environment can satisfy those who come back."

Hearing what Xu Chen said, Yuan Ya shook his head and didn't say much. After talking too much, walls have ears.

…

Time passed quickly.

About this report, word spread quickly.

The final determination of the Mersenne prime number distribution law made people who had studied related topics feel emotional. When they first studied this problem, almost everyone was fascinated by the simple but annoying 2^p-1 I have been troubled by it, but now, this problem has finally been put to an end. For many people, this can even be regarded as a solution to their worries.

As for GIMPS, the Internet Mersenne Prime Search project, the emergence of this paper also announced that their project can come to an end, because next, they only need to input it into the computer based on the theory in Lin Xiao's paper , and then the computer will be able to determine the numbers one by one. They will no longer have to rely on luck as usual. They will have enough time to discover larger Mersenne primes, including those that have slipped through the cracks.

So just a week later, a fish that slipped through the net was discovered, and a larger Mersenne prime number was also successfully discovered. This new prime number is 2^82589933-1, a total of more than 2,480 The number of tens of thousands is more than 1.6 million digits more than the one originally discovered.

The discovery of these two new Mersenne primes by GIMPS is also the most powerful proof of Lin Xiao's achievements. After all, in just this short period of time, he used his theory to discover two without encountering any problems. It is enough. It shows that his theory is correct.

Of course, Lin Xiao's Lin's group transformation method has also received unanimous praise from many participating mathematicians, and said that this method has provided certain assistance for the research on the Langlands Program, especially for modular formalism. The application makes many mathematicians shine.

The biggest highlight of this meeting was naturally the conjecture Lin Xiao put forward at the end.

The news of being able to convert all functions into the form of 'layers' in geometry spread throughout the entire mathematical community almost immediately after the report ended, causing an earthquake in the mathematical community.

The status of algebraic geometry in contemporary mathematics is quite high, especially after Grothendieck laid the foundation for modern algebraic geometry.

Just looking at the reasons why the Fields Medal winners were awarded each time, we know that almost every time there will be a winner who won the award due to breakthroughs in the field of algebraic geometry, such as Schultz among the current winners.

There are also quite a few mathematicians who study algebraic geometry.

Therefore, Lin Xiao's conjecture immediately made each of them excited, because they all seemed to see the direction of the future.

Therefore, these big guys in algebraic geometry, those who did not come to the International Congress of Mathematicians, directly downloaded Lin Xiao's paper, along with a photo of his small blackboard. Looking at Lin Xiao's paper, it is In order to understand how he raised this question, the essence of the question is naturally on the small blackboard.

After that, these big guys began to study this issue one after another, and many people even put down the problem in their hands.

However, after they studied in depth for a few days, they found that the problem did not seem to be so easy to solve.

They racked their brains to prove that it is true when K=1, but no one could succeed.

However, although they cannot prove it, they can directly use the form of K=1, directly substitute this result into the function they want to transform, and convert it into the form of a layer, and the result is just as Lin Xiao predicted, They succeeded, they succeeded in converting functions into layers.

But the problem is, because this theory has not been proven, even if they convert it, they cannot guarantee that the converted function layer will really be the original function. Who knows whether its essence has changed.

Just like Doraemon's shrinking tunnel, who can guarantee that the big bear that goes through the shrinking tunnel will still be the same big bear after it shrinks?

This needs to be proven.

But no matter what, people just assumed it was true for the time being, and then started using the function converted into a layer directly.

Just like the Riemann Hypothesis, we first assume that it is true, and then develop other theories. More than a thousand theorems have appeared so far, but only when the Riemann Hypothesis is proven successfully can these 'pseudo' theorems be upgraded to 'true' theorems.

It is precisely because of this that these mathematicians have made a high evaluation of Lin's conjecture.

Including Professor Deligne, he was interviewed by a media just a few days after the report.

"Viscount Deligne, how do you evaluate this Lin's conjecture?"

"I must admit that Lin's conjecture has brought more possibilities to our algebraic geometry. I believe that in the next ten years, studying this problem will also become the mainstream of our algebraic geometry community."

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