There was a round of applause in the conference room.

Deligne sat in the front row and nodded at 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, and what he is looking forward to now is what kind of surprise Pang Xuelin's theory of Ponzi geometry will bring him at today's report meeting.

When the applause fell, Pang Xuelin continued: "Regarding the proof paper of Fermat's conjecture, I believe everyone here has already read it. Therefore, in today's presentation, I will not go into too much detail about the specific proof process in the paper. What I want to talk about today is the theoretical framework presented in the paper, which I will call Ponzi geometry theory, President Xie, please help me send the bound lecture notes to you......"

Under the stage, Xie Yongxin, who was standing in the corner, nodded, solemnly picked up a stack of lecture notes, and distributed one to each of the mathematicians present.

He had read the lecture notes and knew very well the weight of what was written in them.

These handouts had just been printed, and they smelled of ink.

At the real-world Paris report meeting, Pang Xuelin only wrote out the theoretical system of Ponzi geometry on the whiteboard, but did not give a specific explanation.

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

After many mathematicians get the lecture notes, they open them and browse them as soon as possible.

Soon, the scene was noisy.

"Ponzi geometry?"

"The mathematical ideas used in Fermat's conjecture are indeed interesting, is this young man theorizing them?"

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

……

One by one, the mathematicians exchanged heads and talked about it.

Some people have a look of expectation on their faces, and some people are undeniable, ready to judge after listening to Pang Xuelin's explanation.

And those reporters who were invited looked confused one by one.

"What new theories did Pang Xuelin put forward in his paper? Why haven't you heard anyone in the math community mention it? ”

"He didn't explain the proof process of Fermat's conjecture, but talked about Ponzi geometry, shouldn't he be empty-hearted?"

"Let's take a look first, in front of so many professional mathematicians, it is impossible for him to be indiscriminate......"

……

Pang Xuelin also ignored the noise in the audience, turned around, and began to explain while writing a book.

"For Ponzi geometry, let's start with spherical overlay."

……

"Spherical covering, a good example of this, is the bedding that we sleep on every day in close contact. Every time we clean the quilt cover, and then put it on after washing, it will be more troublesome, the craftsmanship is not good, it is difficult to make the quilt conform to it, and there will always be some wrinkles. At this time, we inevitably came up with the idea of being lazy, too lazy to unzip the quilt cover and then stuff the inner core in, so we casually used the quilt cover to tie the inner core as a dumpling......"

……

"In mathematical terms, it is a continuous full-shot function f from one sphere to another, and if x is a point on the cover, then f is the point on the inner core that is covered by the point x......"

……

"By analogy, for the spherical coverage of the function f, assuming that the number of covers is d, then to say that a point a is a branching point is equivalent to saying that the solution value of the equation f=a is 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=a has a heavy root......"

……

"Let's go back to the original problem, for a positive integer k, suppose there are two coprime polynomials P,Q, where the order of P is 3k and the order of Q is 2k. So, how small can the order of the polynomial R=P^2Q^3 be? We now look at this problem in terms of the Bieray function, spherical overlay, and bipartite maps. First, let's consider the fraction f=Q3R......"

……

"The branch point of the function f at 0 is the root of Q3, which is the root of Q, but the multiple number of each root is multiplied by 3. In the same way, its branch point at ∞ is the root of R, plus the infinity point x = ∞, because the order of R is smaller than that of Q3, so when x tends to infinity, f also tends to infinity......"

……

Pang Xuelin's speech was not slow, but the entire auditorium hall was completely silent.

While reading the various concepts presented in Pang Xuelin's lecture notes, everyone listened carefully to Pang Xuelin's explanation, and all the world's top mathematicians were present, and they soon realized that Pang Xuelin was interpreting a new mathematical world to them.

For a moment, everyone's eyes lit up.

There are many mathematicians who take out their notebooks and make notes in their notebooks.

Although the reporters sitting in the back row of the auditorium couldn't understand what Pang Xuelin was talking about, they could also see from the expressions on the faces of many mathematicians that this questioning young man seemed to be talking about something extraordinary.

The minutes ticked by......

One hour ......

Two-hour ......

Three-hour ......

Before I knew it, it had exceeded the scheduled time of two and a half hours for the report.

But the atmosphere of the scene did not mean to relax at all, on the stage, Pang Xuelin spoke spittle, and off the stage, those top international mathematicians listened to it with great vigour.

Andrew Wiles looked at the radiant Pang Xuelin and couldn't help but sigh.

Edward Witten, who was sitting next to him, smiled, "Wiles, are you still regretting that you didn't preemptively complete the proof of Fermat's conjecture?" ”

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 near future, this young man may become the Grothendieck of the 21st century." ”

Edward Witten nodded, not retorting.

On the other hand, Deligne was equally emotional.

Originally, when the scheduled meeting time was approaching, the host of the meeting was about to step forward to remind Pang Xuelin, but was stopped by Deligne with his eyes.

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

He didn't expect that the Ponzi geometry theory would be so mature.

It didn't open a single door at all, but directly showed everyone a whole new world of mathematics.

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

It wasn't until half past twelve o'clock in the afternoon, a full three and a half hours of explanation, that Pang Xuelin put down the marker and said: "That's all for the general content of Ponzi geometry, I believe that as long as you understand the essence of Ponzi geometry, no one should have any doubts about the proof of Fermat's conjecture, right?" ”

There was a burst of laughter from the audience.

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

Pang Xuelin paused and continued: "Today's report meeting was originally planned to only be two and a half hours, but now it has exceeded more than an hour, let's go to dinner first, after eating, if you are still interested, we can continue to chat." ”

Soon, there was an uproar in the auditorium.

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

failed to interview Pang Xuelin, and those reporters could only focus on the top mathematicians attending the meeting.

Soon, Charlie Fepferman, Daniel Queeren, Yau Chengtong and others were surrounded by reporters.

"Mr. Feverman, what do you think of Pang's presentation today? Do you think Pang proved Fermat's conjecture? ”

A Times reporter caught Peverman Dow.

Peverman said with a red face: "Pang is a once-in-a-century genius, and this is a perfect presentation. As for whether you said that Pang proved the Fermat conjecture, let me tell you this, the Ponzi geometry that Pang talked about today is ten times more important than the Fermat conjecture, and Pang has opened the door to a new mathematics with his own hands, I don't know what the world behind this door means, but I believe that as long as the mathematical community continues to study, Ponzi geometry will have a very significant impact on the entire mathematical discipline and even natural science......"

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

A slightly exaggerated expression appeared on Feverman's face: "I don't think that should be a problem. It's a question of whether next year's Fields Medal will be awarded to Pang Cai! ”

……

On the other hand, Daniel Cuillen also spared no effort to praise Pang Xuelin in front of CNN reporters: "I think this is the best academic report I have ever attended in my life, you will not understand, how amazing the Ponzi geometry theory expounded by Pang, Fermat conjecture is just a small test of Ponzi geometry theory, I believe that over time, on the basis of Ponzi geometry, there will be more and more important results...... All mathematicians owe it to Pang for opening up a new world for us......"

……

Compared with several other people, Yau Chengtong is being interviewed by CCTV reporters.

"Professor Qiu, I found that today's presentation was more than an hour longer than normal, what do you think of this presentation? Does the international mathematical community currently recognize Mr. Pang's proof of Fermat's conjecture? ”

Yau Chengtong said with a smile: "The international mathematical community should have recognized Mr. Pang's proof of Fermat's conjecture, otherwise his paper would not have been published in the "Annals of Mathematics", as for today's report, I can only say that it is unexpectedly wonderful, Mr. Pang Xuelin has almost single-handedly created a new discipline of mathematics, I can't evaluate how significant this subject is in a short period of time, but I believe that Mr. Pang Xuelin is enough to write a strong stroke in the history of mathematics! ”