The Science Fiction World of Xueba

Deligne first glanced through the paper from beginning to end, then he raised his head and said to Morse Eddie: "Eddie, you go out first, I'll read it slowly!"

"okay!"

Eddie froze for a moment, turned and exited Deligne's office, and quietly closed the door.

Deligne settled down and began to reopen the paper, starting to study it from the first page.

Soon, Deligne frowned.

In 1637, the French mathematician Fermat proposed Fermat's conjecture, that is, when the integer n\u003e2, the equation x^n+y^n=z^n about x, y, and z has no positive integer solution.

Since then, Fermat's conjecture has become one of the highest peaks in the minds of mathematicians around the world.

From the 17th century, Fermat gave the theorem proof when n=4 in his notes. In 1985, the American mathematician Roser used a large computer to prove that Fermat's conjecture was true when n\u003c41000000.

The international mathematical community has been swirling about how to generalize n to infinity.

Until 1986, the German mathematician Gerhard Frey proposed that if the Taniyama-Shimura conjecture was proved, the Fermat conjecture would be proved indirectly.

Only then did mathematicians realize that Fermat's conjecture could be transformed into an elliptic curve equation for research.

For the past seven years, including Deligne's colleague Andrew Wiles, they have been trying to prove the Fermat conjecture from the Taniyama-Shimura conjecture.

Deligne even vaguely heard Wiles mention that the other party has made considerable progress on this road.

But this paper is quite different.

The author of this paper proposed a new theoretical framework to solve the Fermat conjecture.

Within this theoretical framework, Deligne even vaguely saw the shadow of the Far Abelian geometry proposed by his mentor Grothendieck.

But this theory is not as abstract and complex as far Abelian geometry, and its logic system is very concise and powerful.

"interesting!"

Deligne muttered to himself and continued to read.

Time passed by every minute and every second.

One hour……

two hours...

three hours……

...

I don't know how long it took, but by the time Deligne finished reading all the thirty-odd pages of the thesis, it was already past two o'clock in the afternoon.

But Deligne didn't feel much tired. On the contrary, the high-intensity thinking still kept his brain nerves in a high state of excitement.

This is a long-lost feeling.

In this paper, Deligne seems to have touched the boundaries of mathematical knowledge.

Deligne only experienced the refreshing feeling that the whole brain is soaked in the truth when he proved Weil's conjecture.

Deligne has never seen the succinct thinking and ice-cold logic displayed in this thesis.

In particular, the new theoretical framework proposed in the paper made him faintly see the shadow of new mathematics.

This is a true masterpiece!

"I really didn't expect that,

After 350 years, Fermat's conjecture was solved by a mathematician from China! "

Deligne murmured to himself.

At present, in the international mathematics circle, the most famous Chinese mathematician is undoubtedly Chen Jingrun. His paper "The table of large even numbers is the sum of the product of a prime number and a prime number not exceeding two prime numbers" published in 1973 is the brilliance of the big sieve theory peak.

But Pang Xuelin's proof of Fermat's conjecture is much more important than Chen Jingrun's results.

Even in the entire twentieth century, the proof of Fermat's conjecture is one of the most important achievements in mathematics.

Deligne pondered for a moment with his chin stuck, then picked up the phone on his desk and dialed.

Soon, the phone was picked up.

Deligne said, "Wiles, are you at home?"

"Yes, what's the matter?"

"Old man, get me something to eat. I'll go find you now. In addition, I'll let you know something in advance. Fermat's conjecture may be proven!"

"What?!"

On the other end of the phone, Wiles' groggy voice came.

Deligne shook his head, understandable for Wiles' gaffe.

Andrew Wiles has been working on Fermat's conjecture for many years.

Although it has not been successful so far, it is close to the end.

At this time, someone suddenly claimed to have proved the Fermat conjecture, which undoubtedly meant that Wiles' research in the past seven years was completely in vain.

But in academia, this kind of thing is not uncommon.

Mathematics is relatively better. In other disciplines, the competition between different research groups is much more intense.

...

Twenty minutes later, Deligne showed up at Andrew Wiles' home on time.

"Pierre, what's going on, who proved the Fermat conjecture?"

As soon as we met, Wiles couldn't wait to say.

Deligne handed the paper to Wiles and said, "You read the paper first, do you have food at home?"

"There's pizza, Amy is making it in the kitchen!"

"Okay, then I'll eat first, you watch first!"

Twenty minutes later, a well-fed Deligne walked into Andrew Wiles' attic.

Wiles was quickly flipping through Pang Xuelin's paper.

Deligne was not in a hurry, and waited patiently.

It wasn't until five o'clock in the afternoon that Wiles closed the thesis and raised his head. He seemed to be a little regretful, and he seemed relieved: "Pierre, I lost! But to see such a wonderful thesis, It can be regarded as convincing to lose!"

In fact, after seven years of research, Wiles vaguely felt that he had touched the edge of proving Fermat's conjecture.

But Pang Xuelin's thesis gave him a blow to the head.

Compared to his method of proof, this paper is surprisingly concise.

But its logical system is extremely rigorous.

In particular, the brand-new framework vaguely reflected in this paper made Wiles himself amazed by it.

"By the way, who is the author of this paper?"

Wiles Road.

Deligne shook his head and said, "I don't know him either. His name is Xue Lin Pang, an unfamiliar Chinese mathematician. But I don't think it will be long before the name of this Chinese mathematician will resound throughout the world."

Wiles nodded and said, "Have you confirmed the reviewer for this paper?"

Deligne said: "You count as one, and I count as one. In addition, I plan to find Peter Sarneck, Nick Cates, John Coates and Richard Taylor from Cambridge as reviewers. If so, go directly to the next month's "Annual of Mathematics"..."

Wiles nodded, "Yes."

Needless to say, Peter Sarnak is also a top mathematician from Princeton, Nick Cates, John Coates, and Richard Taylor are also well-known figures in the field of number theory.

If the approval of these people can be obtained, there is basically no problem with this paper.

Deligne said: "In addition, I am going to send an invitation letter to invite Pang to come to our Princeton to give a report. After all, such an important result, a single paper is definitely not enough, and the new theory used in this paper Framework, I feel there is still a lot to dig out.”