The Science Fiction World of Xueba

The conference staff put away the projection screen, and the projector that was originally being tested was also turned off again.

Afterwards, one after another, someone moved the whiteboards one by one to the rostrum, a total of twelve yuan. According to Pang Xuelin's request, the conference staff moved all the conference whiteboards in the Four Seasons Hotel.

The mathematicians present at the meeting couldn't help but look at each other in blank dismay. Normally, this kind of report meeting, isn't it enough to just follow the PPT?

The organizer moved so many whiteboards here, what is this for?

Before everyone could react, the host's voice sounded in the venue.

"Dear guests, good morning, everyone. Welcome to the BSD Conjecture Proof Awards Ceremony and Report Conference organized by the Clay Institute. Today's report conference will be given by Professor Pang Xuelin. Next, let us use warm Applause, today's speaker, Professor Pang Xuelin, is invited to come on stage!"

After the host's voice fell, there was a burst of thunderous applause in the conference room, and everyone's eyes were focused on Pang Xuelin.

Pang Xuelin didn't change his face, and walked up to the reporting platform without haste.

This kind of scene, to Pang Xuelin who has experienced countless lectures, is completely pediatrics.

Pang Xuelin said: "Hello everyone, I originally prepared to share with you the relevant content of the BSD conjecture in today's report meeting, but at the dinner party yesterday, Professor Schultz's words inspired me and helped me solve a problem. Please forgive me for a problem that has troubled me for a long time. Today, I am temporarily changing the theme of this report. Due to the rush of time, I can only write all the copywriting related to this report directly on the whiteboard. I will write any questions I’ll talk about it after I’m done. If there are friends in the back row who can’t see clearly, please ask the conference affairs team to follow up in time, take a photo of my writing on the blackboard in time, and then share it with everyone. Okay, let’s stop talking, let’s start now!”

After finishing speaking, Pang Xuelin turned around, went directly to the whiteboard, picked up the marker pen and began to write.

There was a buzzing sound from the audience. Under normal circumstances, for a report meeting of this level, everyone came to participate in the BSD conjecture. Who would have thought that Pang Xuelin was not going to talk about the BSD conjecture at all. What does this guy want? what?

Schultz raised his eyebrows. Last night, he and Pang Xuelin just mentioned the key words of the Beley function and the second map. Did this guy prove the ABC conjecture in one night?

Schultz shook his head, a little in disbelief.

Terence Tao, who was sitting next to him, asked curiously, "Schultz, what did you say to Pang last night? Why did Pang change the topic?"

Schultz shrugged and said, "I don't know either. In the middle of the conversation last night, I only talked about Grothendieck's manuscript. When I mentioned the keywords of Bely function and quadratic map, he suddenly I ran away, I am a little confused now! He is your student, you should know his latest research topic?"

Tao Zhexuan smiled wryly: "After the last BSD conjecture report meeting, we haven't talked much. Besides, Pang just proved the BSD conjecture. Could it be that in just a few months, another important achievement has been completed?"

Schultz said thoughtfully: "It's hard to say!"

...

On the other side, Faltings and Deligne are also chatting with their heads down.

"This kid, you dare to play tricks in this kind of situation. If you don't give me a little surprise today, I will have to settle accounts with him!"

Stubborn old man Faltins said a little unhappy.

Deligne smiled and said: "I see that Professor Pang is not a person who talks nonsense, maybe he has completed some amazing proofs?"

Faltings said: "How likely do you think this is? This guy only proved the BSD conjecture three months ago. 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 person who talks nonsense. Besides, if it was half a year ago,

Can you believe that the BSD conjecture will be solved by an unknown young scholar? "

Faltings frowned, and for a while seemed to not know how to refute Deligne's words, and said, "Huh, let's see it first!"

...

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

Zhang Deye said worriedly: "Old Qiu, Xiao Pang is playing with fire. There are so many well-known scholars here today. If something goes wrong, it will be a joke!"

Qiu Chengtong said with a faint smile: "Old Zhang, don't worry, you should have seen it yesterday, this young man is very calm and will not easily do things that are not sure!"

Zhang Deye sighed: "Hey. I hope so!"

...

People in the audience were talking about it, but on the stage, Pang Xuelin turned a deaf ear and quickly wrote the formula.

Proving the ABC conjecture requires the use of several important inferences of Ponzi geometry. Therefore, the first thing he has to do is to construct the theoretical framework of Ponzi geometry.

This is a big project. Although only the core content of Ponzi geometry needs to be written, there are still many theorems and concepts that need to be written on the blackboard.

[Lemma 1.1 For each non-zero integer a, if p"||a, define Vp(a)=n, stipulate Vp(0)=∞, and then for any non-zero rational number α=a/b(a, b ∈Z, a, b≠0), define Vp(α)=Vp(a)-Vp(b), it is not difficult to see that |α|p=γ^Vp^(α), namely: Vp(α)lgγ =lg|α|p, lgγ\u003c0. Define the function Vp: Q→Z∪{∞}……]

...

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

...

At the beginning, there were some voices from the audience, but when Pang Xuelin was halfway writing on the first whiteboard, the voices in the conference hall gradually quieted down.

This time, all the top mathematicians in the world were invited to participate in the report meeting. All of them had extraordinary eyesight. Some people began to realize that the content of Pang Xuelin's blackboard writing was unusual.

Deligne frowned tightly, and said: "P-adic numbers? This kid seems to be using a brand-new concept to describe the structure of the P-adic rational integer ring and the structure of the P-adduct algebraic field."

Faltings nodded and said: "This little guy seems to have come up with something new!"

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

For a while, only the sound of writing and occasional discussions were left in the lecture hall.

Tao Terence narrowed his eyes slightly and laughed: "It's interesting, is Pang using a new mathematical method to describe the absolute Galois group Gal(Qˉ/Q) in the algebraic number field? No, it should describe any algebraic variety Flattened fundamental groups, and how exactly their far-Abelian parts affect the geometric properties of algebraic structures!"

Schultz nodded and said: "It's a bit like Grothendieck's Far Abelian geometry, but there is an essential difference between the two. In the absolute Galois group Gal(Qˉ/Q), the simplest non-trivial transformation is the complex common yoke, but apart from complex conjugation, Far Abelian geometry cannot describe other forms of symmetric transformations, but this new theory of Pang seems to be able to do it!"

Zhang Deye looked at Pang Xuelin on the stage in shock, and said, "Old Qiu, it seems that Professor Pang is constructing a brand new mathematical theory?"

Qiu Chengtong said with a serious face: "If there is no accident, it should be like this. I have a vague hunch that today may be a historic day for the entire mathematics world!"