The Science Fiction World of Xueba

There was a burst of applause in the conference room.

Deligne sat in the front row and nodded to Pang Xuelin with a smile.

After a few days of contact with Pang Xuelin, Deligne has completely dispelled his doubts about Pang Xuelin's academic level. Now he is looking forward to what kind of surprises Pang Xuelin's theory of Ponzi geometry will bring to him at today's report .

After the applause fell, Pang Xuelin continued: "As for the proof paper of Fermat's conjecture, I believe everyone here has read it. Therefore, in today's report, I will not repeat the specific proof process in the paper. What I want to talk about today is the theoretical framework shown in the thesis, which I call Ponzi geometry theory, President Xie, please help me to send the bound lecture notes to everyone..."

Under the stage, Xie Yongxin, who was standing in the corner, nodded, solemnly picked up a stack of handouts, and handed out a copy to each of the mathematicians present.

He has read the contents of the handouts, and he is very aware of the weight of what is written here.

These handouts have only just been printed and smell like ink.

At the Paris report meeting in the real world, Pang Xuelin just wrote the theoretical system of Ponzi geometry on the whiteboard without explaining it in detail.

This time, in the world of rural teachers, it was the first time that he really explained his mathematical ideas to the mathematics community.

Many mathematicians opened and browsed the handouts immediately after getting them.

Soon, the scene became noisy.

"Ponzi geometry theory?"

"The mathematical idea adopted by Fermat's conjecture is indeed very interesting. Did this young man theorize this idea?"

"This young man is so courageous that he actually expounded his new theory on this platform."

...

The mathematicians whispered to each other and talked a lot.

Some people showed anticipation on their faces, while others could not deny it, and were ready to make a judgment after listening to Pang Xuelin's explanation.

As for the invited reporters, they all looked dumbfounded.

"What new theory did Pang Xuelin put forward in his paper? Why haven't people in the mathematics world mentioned it?"

"He didn't explain the proof process of Fermat's conjecture, but talked about Ponzi's geometry theory. Isn't he guilty?"

"Let's take a look before we talk. In front of so many professional mathematicians, it is impossible for him to make a fool of himself..."

...

Pang Xuelin ignored the noise in the audience, turned around, and began to explain while writing on the blackboard.

"About Ponzi's geometry theory, we first start from the spherical coverage."

...

"Spherical coverage, there is a good example, that is the quilt that we sleep in close contact with every day. Every time we wash the quilt cover, it will be more troublesome to put it on after washing. If the workmanship is not good, it is difficult to make the quilt comfortable. There are always some wrinkles in the post. At this time, we inevitably have the idea of ​​being lazy. We are too lazy to unzip the quilt cover and stuff the inner core, so we use the quilt cover to tie the inner core as rice dumplings..."

...

"In mathematical terms, it is the continuous surjective function f from one sphere (quilt) to another sphere (core),

If x is a point that is covered, then f(x) is the point on the inner core that is covered by the point x..."

...

"By analogy, for the spherical coverage induced by the function f(x), assuming that its coverage is d, then saying that a certain point a is a branch point is equivalent to saying that the solution value of the equation f(x)=a There are less than d, because each solution of this equation is actually a point covering a on the 'quilt'. In other words, a is a branch point if and only if f(x)=a has multiple roots..."

...

"Let's go back to the original question. For a certain positive integer k, suppose there are two coprime polynomials p(x), q(x), where the degree of p(x) is 3k, and the degree of q(x) is 2k. Then, how small is the minimum degree of the polynomial r(x)=p(x)^2q(x)^3? We now look at this problem from the perspective of Bely function, spherical cover and bipartite map. First , let's consider the fraction f(x)=q(x)3r(x)..."

...

"The branch point of the function f(x) at 0 is the root of q(x)3, that is, the root of q(x) (if you calculate the multiplicity, there are 2k in total), but the multiplicity of each root must be multiplied by Take 3. In the same way, its branch point at ∞ is the root of r(x), plus the infinity point x=∞, because the degree of r(x) is smaller than q(x)3, so when As x tends to infinity, f(x) also tends to infinity..."

...

Pang Xuelin spoke at a moderate pace, but the entire auditorium fell completely silent.

While reading the various concepts shown in Pang Xuelin's lecture notes, everyone listened carefully to Pang Xuelin's explanation. All the people present here are the world's top mathematicians. They soon realized that Pang Xuelin was explaining to them a brand new mathematical world. .

For a moment, everyone's eyes lit up.

Many mathematicians took out their notebooks and made records in them.

Although the reporters sitting in the back row of the auditorium could not understand what Pang Xuelin was talking about, they could tell from the expressions on the faces of many mathematicians that this young man who had been questioned seemed to be talking about something extraordinary.

Time passed by every minute and every second...

One hour……

two hours...

three hours……

Before I knew it, the two and a half hours scheduled for the report meeting had already passed.

But the atmosphere at the scene did not seem to relax at all. On the stage, Pang Xuelin was spitting all over the place, and those top international mathematicians in the audience were radiant.

Andrew Wiles looked at Pang Xuelin who was in high spirits, and couldn't help heaving a long sigh.

Edward Witten, who was sitting beside him, smiled and said, "Wiles, are you still regretting that you didn't complete the proof of Fermat's conjecture first?"

Andrew Wiles shook his head and said: "I'm not sorry, I'm sighing, I see the shadow of Galois in this young man, maybe in the not-too-distant future, this young man may become the Gero of the 21st century Tendik."

Edward Witten nodded without rebuttal.

On the other side, Deligne also felt emotional.

Originally, the host of the meeting was going to remind Pang Xuelin when the scheduled meeting time was approaching, but Deligne stopped him with his eyes.

Deligne chatted with Pang Xuelin before, and Pang Xuelin mentioned Ponzi's geometry theory. Deligne thought that this theory was just a sketch, which was equivalent to showing people the door of a new mathematical theory.

He did not expect that Ponzi's geometric theory was so mature.

It didn't open a door at all, but directly showed a whole new mathematical world to everyone.

This world is so amazing that it not only cleverly builds a bridge between algebraic geometry and number theory, but also has indistinct connections with differential geometry, partial differential equations and other fields.

It was not until 12:30 noon, after a full three and a half hours of explanation, that Pang Xuelin put down his marker pen and said: "That's the general content about Ponzi geometry. I believe that as long as you understand the essence of Ponzi geometry, you should not Does anybody have any doubts about the proof of Fermat's conjecture?"

There was a burst of laughter from the audience.

Everyone understands that after today's report meeting, all doubts from the outside world will become a joke.

Pang Xuelin paused, and continued: "Today's report meeting was originally planned to last only two and a half hours, but it has already exceeded an hour. Let's go to dinner first. After dinner, if you are still interested, we can Keep talking."

Soon, the auditorium became noisy.

Accompanied by Deligne, Wiles and others, Pang Xuelin refused the reporter's interview request and hurried out of the auditorium.

Unable to interview Pang Xuelin, those reporters could only focus on the top mathematicians present at the meeting.

Soon, Charlie Fefferman, Daniel Quillen, Qiu Chengtong and others were surrounded by reporters.

"Mr. Fefferman, how do you evaluate Pang's report today? Do you think Pang proved Fermat's conjecture?"

A Times reporter caught Feffermandow.

Fefferman said with a red face: "Pang is a genius that is rare in a hundred years. This is a perfect report meeting. As for whether Pang has proved Fermat's conjecture, let me tell you this. What Pang said today Ponzi geometry is ten times more important than Fermat's conjecture. Ponzi opened the door of a new mathematics. I don't know what the world behind this door means, but I believe that as long as the mathematics community continues to study, Ponzi will almost Why will it have a very significant impact on the entire mathematics discipline and even natural science..."

The "Times" reporter was obviously a little surprised by Fefferman's praise, and asked again: "Then do you think Pang has a chance to win the Fields Medal next year?"

Fefferman showed a slightly exaggerated expression on his face: "I don't think this should be a problem. The Fields Medal next year is not awarded to Pang, which is a problem!"

...

On the other hand, Daniel Quillen also spared no effort to praise Pang Xuelin in front of reporters: "I think this is the best academic report meeting I have ever participated in in my life. You will not understand. The Ponzi geometry explained by Pang How amazing the theory is. Fermat’s conjecture is just a small test of Ponzi’s geometry theory. I believe that with the passage of time, on the basis of Ponzi’s geometry, there will be more and more important results. All mathematicians We should thank Pang, he opened up a new world for us..."

...

Compared with the others, Qiu Chengtong is being interviewed by a CCTV reporter.

"Professor Qiu, I found that today's report meeting is more than an hour longer than the normal time. What do you think of this report? Has the international mathematics community recognized Mr. Pang's proof of Fermat's conjecture?"

Qiu Chengtong said with a smile: "The international mathematics community should have recognized Mr. Pang's proof of Fermat's conjecture long ago, otherwise his paper would not have been published in the "Annals of Mathematics". As for today's report, I can only say that it was unexpected. Unexpectedly, Mr. Pang Xuelin almost created a brand-new mathematics subject by himself. I can’t evaluate the significance of this subject in a short time, but I believe that Mr. Pang Xuelin is enough to write a rich and colorful chapter in the history of mathematics. One sum!"