From Almighty Scholar to Chief Scientist

Before that, it must first be sent to the chairman of the organizing committee of this conference, and the chairman will be in charge of the contact person to read the report, and if there is any problem, then contact the reporter.

Just like publishing a journal.

Therefore, generally speaking, the deadline for the conference report will be much earlier than the opening time of the conference. Such a situation like Lin Xiao is also very rare.

Of course, the reason for letting him come here is that people think that he is just reorganizing the old results, and it won't take much time. Who would have thought that he would take it so seriously and produce such an important result.

Therefore, whether it can pass the review stage becomes a problem.

If he can't pass the review, then probably, this math genius will really miss such an opportunity.

Tom then sent the manuscript to President Marcelo Viana.

Marcelo Viana is a researcher at the Brazilian National Institute of Pure and Applied Mathematics and IMPA, which is also the top mathematics institute in Brazil. As the host of this International Conference of Mathematicians, Marcelo Viana will Responsible for the work of the conference, generally administrative work.

So after receiving the paper from the reporter's docking group, he received it immediately.

Seeing the news, he frowned slightly.

The young reporter from Huaguo just sent the report now?

As a conference manager, I don't like this kind of things that are out of my control.

After all, this means variables, and being able to serve as the chairman of the organizing committee of this conference, he certainly hopes that the entire conference can be run well without these problems.

So when he had to temporarily arrange for this Chinese man to give a report, he was also a little reluctant.

However, when the meeting was held, a professor from Princeton University, Peter Sarnak, made a suggestion, and everyone else agreed. There is no other way, so we can only invite it.

As a result, the report was not submitted until now.

I don't know what he was going to report, and it took him a month to send it.

However, when he opened the thesis and saw the title, his eyes widened again.

"It's actually the determination of the distribution law of Mersenne prime numbers?"

"This... is it crazy?!"

Chapter 93 The Chairman of the Organizing Committee of the Conference Crazy

Even Viana, who has no research on number theory, has heard of Mersenne prime numbers.

There are too many well-known figures in history who have studied Mersenne primes, not to mention Euclid and Mersenne, including Fermat, Gauss, Goldbach, etc., but they all failed in this up.

Of course, after all, these mathematicians were people a long time ago. The mathematical tools they could use at that time were far less than they are now, and their research on mathematics was not as convenient as it is in modern times. They did not have the Internet at that time. What sites like ArXiv allow them to search for all the papers in the world.

It is precisely because of this that there were so many great mathematicians at the beginning, because they almost relied on their own research to lead the take-off development of mathematics in the world, and they were all omnipotent in their own era. mathematician.

But now, the discipline of mathematics is becoming more and more refined, and a lot of new mathematics have appeared. It is said that the algebraic geometry created by the mathematics emperor Grothendieck is enough for current mathematicians to study it for a lifetime, let alone there are still Those things used in Lin Xiao's research.

For example, group theory was created by Galvalo more than ten years after the death of Gauss. As for modular form theory, it did not appear until the end of the nineteenth century, and it gradually matured after the twentieth century.

Therefore, it cannot be said that Lin Xiao solved this problem, which means that he is better than those masters, just because he has more mathematical tools. As Newton said, "I am standing on the side of giants." shoulders".

Although when Newton said this sentence, he was actually mocking a mathematician named Hooke...

Marcelo Viana looked at the title, surprised at first, but then frowned.

"But, I remember that the paper he should publish has something to do with the Fibonacci sequence? What's wrong with it? How did it become a Mersenne prime number?"

How can such an important achievement be presented at the International Congress of Mathematicians without careful and rigorous review?

Moreover, there are still more than half a month left!

"My God, this is messing with me!"

Marcelo Viana scratched his hair until finally, he gritted his teeth, "Forget it, send it to Professor Sanak first, let him take a look."

"However, that young man from Huaguo, you'd better not have too many problems. If you want to stand out at the International Conference of Mathematicians, you must first ensure that you will not make mistakes, otherwise, the conference will only prevent you from falling It's a laughing stock."

After reading this sentence silently, he then sent this paper to Peter Sarnak. As a member of the International Mathematical Union, Professor Sarnak is also obliged to undertake the review work.

……

Princeton University, Fine-Hall.

The office of Professor Peter Sarnak.

Peter Sarnak was the winner of the Wolf Mathematics Prize who reviewed Lin Xiao's paper on the prime number problem of the Fibonacci sequence. At this time, he was reviewing the manuscript. It's also his job.

But at this moment, he suddenly noticed that he had received a message from the International Congress of Mathematicians.

"Huh? Is it from Professor Wiana, the chairman of this conference?"

Seeing the news that it was the chairman of the organizing committee of the conference, he did not neglect, stopped his work, and then opened the message to read it.

Soon, he knew the purpose of Professor Wiana's visit.

"Lin Xiao just submitted the report manuscript now?"

Upon hearing the news, Professor Sanak couldn't help being taken aback.

Now there is only more than half a month left before the start of the conference, but that Lin Xiao submitted the report?

At the beginning, he offered to ask Lin Xiao to come and give a report. After all, it is rare for a prime number problem to be solved. It is obviously a gratifying thing for workers in the field of number theory, so other professors did not refuse.

Of course, he also had the same mentality of supporting the young mathematician and hoping to get to know Lin Xiao.

However, a month has passed now, did Lin Xiao just sort out the papers now?

This time is a bit slow.

However, he shook his head again, no matter what, just submit it, even if it's a little late, it doesn't matter.

Then he downloaded the file sent by Chairman Wiana.

However, after opening the file, he couldn't help being stunned.

"Group transformation method? And the distribution law of Mersenne prime numbers... What is this? Did he use the modular form in his original paper? Didn't he use polynomial transformation?"

Professor Sanak first wondered if this was the Lin Xiao, but after looking at the signature of the paper, it was indeed 'Lin-Xiao'.

Then he wondered if his memory was messed up.

Squeezing his head, he took the cup from the side, took a sip of the coffee in it, and cheered up a little.

Then, he turned his attention to the summary.

After reading the summary, his eyes widened, and he took another sip of coffee to suppress his shock.

Then he looked at the page numbers again. There were 78 pages in total.

The coffee he just drank suddenly choked.

"Cough cough cough..."

In the room, his graduate students couldn't help asking: "Professor, what's wrong with you?"

"It's okay." Sanak patted his chest, and when he felt comfortable, he frowned tightly and looked at the thesis on the computer.

Until the last wry smile.

This Lin Xiao really brought him a 'surprise'.

But this 'surprise' was given to him separately, what he received now was 'surprise', and now he hoped that he could successfully receive the second half of 'happy'.

It's just that he has to wait until he reads the paper to know.

"It really gave me a problem."

78 pages, can you finish it in 45 minutes?

Sighing, he didn't rush to read it directly, because the paper was too long and the conclusion was too amazing, he needed to find some mathematician friends to read it together.

And who are his mathematician friends?

"See Pierre Deligne?"

Well, this is a Fields Medal winner, a tenured fellow at the Institute for Advanced Study in Princeton.

"Where's Bulgan? But he probably doesn't have time."

This is also a Fields Medal winner.

"Or find Lang Lanz? But he is in Turkey now, and he doesn't know what he's doing all day long."

This is the grand unified theory of mathematics, the proposer of the Langlands program.

"Pompielli is still traveling in Europe, and he probably won't come until the Mathematicians Conference starts."

"Forget it, just find Deligne, he should have nothing to do recently."

After confirming who he was looking for, Sanak contacted that Professor Deligne, sent the paper over, and then read the paper himself.

Chapter 94 What kind of image is Lin Xiao?

For Professor Sarnak, reading papers is a very common thing. After all, as the editor-in-chief of "Annual Mathematics", there are many papers that need to be reviewed by him.

Especially those submissions that have the potential to be published in the "Annual Journal of Mathematics", whether they are in line with his research field or not, he has read many of them.

So now let him read Lin Xiao's report, and he found the right person, especially the results in the field of number theory.

He won the Wolf Prize in Mathematics in the first place because of his contributions in the field of number theory.

Similarly, as Professor Pompieri said, there is no mathematician who will not be interested in these prime number problems. After all, they seem so simple and clear, aren’t they just positive integers one by one, although they are solving problems In the process of , it is indispensable to use all kinds of strange shapes and even complicated mathematical symbols, and sometimes you have to use the root sign to make it no longer an integer, but it looks very simple anyway!

Otherwise, why are minkes keen to solve Goldbach's conjecture instead of Riemann's conjecture?

Because they can understand Goldbach's conjecture with the knowledge they have acquired in their nine-year compulsory education, so they rushed forward with courage.

As for the Riemann conjecture, they probably still have to ask what the ζ function is, not to mention that it also involves the complex plane, complex analysis, etc., which makes them do it, even if they want to find a place to start, I am afraid they still have to do it. They have to learn complex analysis, and before learning complex analysis, they have to learn mathematical analysis, but after learning this, they probably know how ignorant their thoughts are.

All in all, the prime number problem looks neat, and so do the Mersenne prime numbers, so much so that Professor Sarnak once worked on these things.

However, in Lin Xiao’s paper, the problem of Mersenne primes is solved in the last ten pages, and the first 60 pages mainly discuss the combination of modular form theory and group theory to realize the transformation of polynomials.

So Professor Sanak is looking at this part now.

"Hmm... the previous transformation seems interesting. It seems to be the method in his paper? Well, it has been sorted out."

Seeing this, he shook his head helplessly. In fact, this is enough. Lin Xiao can already use the previous part as a report, and then he will give a speech at the conference. This is what Professor Sanak thought Lin Xiao would do at the beginning. .

However, we have only reached page No.13 now, and there are still a lot of them behind.

This Lin Xiao, what kind of showmanship did he do...

He finally knew why Professor Viana asked him to read Lin Xiao's report. Probably, Professor Viana also felt that Lin Xiao didn't follow the routine, so he asked him, the instigator, to see how to deal with it.

Shaking his head slightly, what else can I do, I can only continue to watch.

But he still hopes that he can receive the last 'happy', no matter what, it is also the young man he fancy.

Then, he continued to look down.

Soon, he saw a line of formula.

【tr(ρf,λ(Frobp))=C(p,f)...det(ρf,λ(Frobp))=Ψ*(p)N(p)^k0－1...】

"This step... is interesting."

He looked down again.

【ρf, λ: =ρf, λ(modλ): GF→GL2(Fλ)...】

The more he looked, the closer his eyes moved to the screen, trying to see himself more clearly.

Because, with the transformation around here, his thinking also followed up, and it seemed that there were two strings in his mind, which were suddenly connected together, and then played.

This step made him also feel amazed!

"It's really unbelievable that this method can still be used, or...too bold!"

As he read silently, his head shook with emotion.

"This young man's thinking is really different from that of an old guy like me."

Suddenly remembered something, he pulled the draft paper from the side and started to calculate.

In this way, time passed slowly. In the office, Professor Sanak's other students looked at Professor Sanak's appearance, and they didn't know why he was so emotional.

Didn't he have this kind of situation when he was reviewing manuscripts before?

In the name of helping the professor make coffee, a graduate student went up to pick up Sanak's coffee cup, and then glanced at the computer. After looking at it for a while, he was also at a loss. Which big guy's paper is this? ?