The conference staff began to put away the projection screen, and the projector that had been being tested was turned off again.

Subsequently, someone successively moved the whiteboards to the rostrum, a total of 12, and the conference staff moved all the conference whiteboards in the Four Seasons Hotel according to Pang Xuelin's requirements.

The mathematicians at the meeting couldn't help but look at each other, isn't it just a PPT for this kind of report?

The organizers have moved so many whiteboards, what is this for?

Before everyone had time to wonder, the host's voice sounded in the venue.

"Distinguished guests, good morning, and welcome to the BSD Conjecture Proof Award Ceremony and Report organized by the Clay Institute.

The host's voice fell, and a thunderous applause suddenly sounded in the conference room, and everyone's eyes focused on Pang Xuelin.

Pang Xuelin walked up to the lecture stage unhurriedly and said: "Hello everyone, in today's report meeting, I originally prepared the relevant content of the BSD conjecture to share with you, but in yesterday's dinner, Professor Schultz's words inspired me and helped me solve a problem that has been bothering me for a long time, so please forgive me, I temporarily changed the theme of this report today." Due to the rush of time, I can only write all the copywriting related to this report directly on the whiteboard, and I will talk about any problems after I finish writing. If there are friends in the back row who can't read clearly, please follow up with the conference team in time, take pictures of my board book in time, and then share it with everyone. Well, without further ado, here I go! ”

After that, Pang Xuelin came directly to the whiteboard, picked up the marker and wrote.

The audience suddenly sounded a buzzing voice, under normal circumstances, at a report meeting of this level, everyone came to participate in the BSD conjecture, who would have thought that Pang Xuelin was not ready to talk about the BSD conjecture at all, what did this guy want to do?

Schultz raised his eyebrows, last night he just mentioned a few keywords of the Berey function and the second map to Pang Xuelin, could it be that in one night, this guy proved the ABC conjecture?

Schultz shook his head, a little incredulous.

Tao Zhexuan, who was sitting next to him, said curiously: "Schultz, what did you say to Pang last night?" How did Pang change the issue? ”

Schultz shrugged his shoulders and said: "I don't know, in the middle of the conversation last night, I only talked about the Grothendieck manuscript, and when I mentioned the key words of the Berei function and the quadratic map, he suddenly ran away, and I am still a little confused!" He's your student, you should know about his recent research topic, right? ”

Tao Zhexuan smiled bitterly: "After the last BSD conjecture report meeting, we haven't talked much, besides, Pang has just proved the BSD conjecture, is it possible that in just a few months, another heavyweight achievement has been completed?" ”

Schultz said thoughtfully: "That's hard to say! ”

……

On the other side, Faltins and Deligne were also chatting with their heads bowed.

"This kid, this kind of scene also dares to play tricks, if you don't give me a little surprise today, I will have to settle accounts with him then!"

The stubborn old man Faltins said a little unpleasantly.

Deligne smiled: "I see that Professor Xiao Pang is not a man of his own words, maybe he has completed some amazing proof?" ”

Faltins said: "How likely do you think this is, this guy only proved the BSD conjecture three months ago, and in just three months, what tricks can he come up with?" ”

Deligne said: "Who can say for sure? I don't think Pang is a man of his own words. Besides, if it had been six months ago, would you have believed that the BSD conjecture would have been solved by an unknown young scholar? ”

Faltins frowned, and for a moment seemed to not know how to refute Deligne's words, and said, "Hmph, let's see first!" ”

……

Not far from Faltins and Deligne, Zhang Deye and Yau Chengtong were also talking in low voices.

Zhang Deye was a little worried: "Lao Qiu, Xiao Pang is playing with fire, there are so many well-known scholars on the scene today, if something goes wrong, it will be a joke!" ”

Qiu Chengtong smiled faintly and said: "Lao Zhang, don't worry, you should have seen it yesterday, this young man has a very calm mentality, and he won't easily do things that he is not sure of!" ”

Zhang Deye sighed: "I hope so!" ”

……

The people in the audience were discussing, and on the stage, Pang Xuelin turned a deaf ear and quickly wrote the equation.

To prove the ABC conjecture, several important inferences of Ponzi geometry were needed, so the first thing he had to do was to construct the theoretical framework of Ponzi geometry.

This is a big project, and although it is only necessary to write the core content of Ponzi geometry, there are still many theorems and concepts that need to be written on the board.

Lemma 1.1 For each non-zero integer a, if p"||a, define Vp(a)=n, specify Vp(0)=∞, and then define Vp(α)=Vp(a)-Vp(a)-Vp(b)-Vp γ α(b<α α for any non-zero rational number α=α a/b(a,b∈Z,a,b≠0. Define function Vp: Q→Z∪{∞}......]

……

[Lemma 1.5 ∪(Zp)={α∈Q|.] Vp(α)=0}={b/a|a，b∈Z，p|ab}……】

……

At first, there were still some voices in the audience, but when Pang Xuelin was halfway through the first whiteboard, the voices in the conference hall gradually quieted down.

The people invited to participate in the report this time are all the world's top mathematicians, and they all have extraordinary eyesight, and some people are beginning to realize that the content of Pang Xuelin's board book is not ordinary.

Deligne's brows tightened, and he said, "P-in? This kid seems to be using a whole new concept to describe the structure of P-into rational integer rings and the structure of P-into algebraic fields. ”

Faltins nodded, "This little guy does seem to have made something new!" ”

When one whiteboard was filled and Pang Xuelin began to write the second whiteboard, many people on the scene had already reacted, and people began to take out notebooks one after another, either starting to check or record.

For a moment, all that remained in the lecture hall was the sound of writing and the occasional chatter.

Tao Zhexuan's eyes narrowed slightly, and he smiled: "It's a little interesting, is Pang going to use a new mathematical method to describe the absolute Galohua group Gal (Q ̄/Q) in the algebraic number field?" No, it should be a description of the flattened elementary groups of arbitrary algebraic clusters, and how their far abelian parts affect the geometric properties of the algebraic structure! ”

Schultz said: "A bit like Grothendieck's far-abelian geometry, but there is an essential difference between the two, in the absolute Galois group Gal (Q ̄/Q), the simplest non-trivial transformation is complex conjugation, but in addition to complex conjugation, far-abelian geometry cannot describe other forms of symmetry transformation, but this new theory of Pang seems to have done it!" ”

Zhang Deye looked at Pang Xuelin on the stage in shock and said, "Old Qiu, Professor Xiao Pang seems to be constructing a new mathematical theory?" ”

Yau Chengtong said with a solemn face: "If nothing else, it should be like this, I have a faint hunch that today may be a historic day for the entire mathematical community!" ”