The Science Fiction World of Xueba

Half an hour later, the whiteboard arrived, and the meeting room fell silent again.

The twelve whiteboards that had been written before were moved to both sides of the meeting room.

During the meal, many mathematicians had already taken pictures of the content on the blackboard, and prepared to take them back to study in detail, and some people sent the photos they took to mathematicians they knew well, asking them to help them take a look.

Although he didn't sleep all day and all night, Pang Xuelin still maintained strong energy after supplementing the food.

He came to the podium and said: "I believe many friends have already seen it. What I wrote this morning is a set of theoretical systems rebuilt on the basis of Far Abelian geometry. I personally call this theoretical system It is Ponzi geometry. Since it is a new theory, it must be able to solve practical problems. Next, I will demonstrate the ability of Ponzi geometry in solving practical mathematical problems!"

After finishing speaking, Pang Xuelin turned around and came to the whiteboard, and wrote a line on the whiteboard.

[Proof: Any three positive integers a, b, c that satisfy a+b=c and a and b are relatively prime. For any ε\u003e0, there is a constant kε\u003e0, satisfying: c\u003ckεrad(abc)^1+ε]

After writing this line, in an instant, the entire conference room boiled up.

"ABC conjecture, it's actually an ABC conjecture!"

"This guy, is he going to use the Ponzi geometry he invented to prove the ABC conjecture?"

"Crazy, crazy, prove the ABC conjecture on the spot on this occasion, if he can't prove it, won't he become the laughing stock of the mathematics world?"

"Mochizuki Shinichi has already stumbled on the ABC conjecture, but I didn't expect that there are still people who are not willing to give up and challenge the ABC conjecture!"

...

For a while, the meeting room was filled with excitement.

"Sure enough!"

Schultz looked at Pang Xuelin on the stage with shock in his eyes.

If it were him, he would rather publish papers one by one, and it is impossible to directly release such an important conjecture proof on this occasion.

It can only show that this guy on stage is not only extremely confident, but also extremely courageous.

Zhang Deye and Qiu Chengtong looked at each other, Zhang Deye said: "Old Qiu, you're right!"

Qiu Chengtong said with some concern: "Professor Xiao Pang took a dangerous move!"

The importance of the ABC conjecture is undoubted, especially its integer addition and multiplication properties are interactive. Once proven, infinitely many Diophantine equations can be directly transformed into a single mathematical proposition.

Even Goldbach's conjecture, the twin prime conjecture, may make a further breakthrough because of its proof.

Now Pang Xuelin directly uses Ponzi geometry to prove the ABC conjecture in the report meeting. If successful, then Ponzi geometry will become famous all over the world overnight, and this proof will also become a good story in the mathematics world.

Once it fails, there will be overwhelming criticism and doubts waiting for Pang Xuelin, and his prestige in the academic world will also suffer a major blow.

...

Pang Xuelin didn't seem to have thought about it so much at all, and turned a deaf ear to all kinds of doubts from the audience, proving that his thinking has been completely cleared up. Next, he only needs to follow the steps and deduce the proof process!

[Definition 1: let ε\u003e0, for any co-prime integer, a, b, c, a+b+c=0, then log(max{|a|, |b|, |c|})\u003c( 1+ε) Σlog(p)+O(l), O(1) is a constant...Definition 2: let p be a rational number, Op be an integer ring, X/p be a smooth algebraic curve, then for any point P∈ X(p),?(P):=?(k(P)):=1/[k(p)Q]log(|△k(P)/Q|). Then there are (1)...]

...

The tip of the pen was drawn across the whiteboard. When I first started writing, there was still a lot of noise from the audience.

But as the first whiteboard was filled, the noise from the audience faded away.

All eyes were focused on the formulas line by line.

Compared with messy papers, this kind of on-site verification is much more concise, and it also touches the core of mathematical logic.

Formulas flowed down Pang Xuelin's pen tip, and no one spoke or made a sound.

Tao Zhexuan, Schultz, Faltings, Deligne, Qiu Chengtong and others sat up straight one by one, as if they were witnessing some kind of ceremony.

a whiteboard...

Two whiteboards...

Three whiteboards...

...

Pang Xuelin's brushwork is still smooth, and all thoughts and inspirations in his mind have disappeared, replaced by an unprecedented cold mathematical logic.

It seems that some kind of hard law hidden in the depths of the universe is being awakened by Pang Xuelin.

Argument to the most critical link.

Fifth whiteboard.

[1/6deg(qE)≤(1+αd(l))(?(P)+n∞(P))+βd(l)·l, if c\u003e0, according to Theorem 1.2, then h(P )≤1/6deg(qE)+c·(h(P)^1/2+1)……]

All the chaos gradually dissipated, the rules began to surface, and the axioms became clear!

Everything is back to how it should be!

...

"I see!"

As soon as this formula came out, Deligne stood up from his seat.

Among all the mathematicians present, he was the one who had the deepest understanding of Ponzi geometry.

Because of this, he was also the first to truly understand Pang Xuelin's core argumentation method.

Soon, Faltings beside Deligne also reacted, and exclaimed: "The idea of ​​a genius, it turns out that Ponzi geometry can be used in this way in the field of number theory!"

...

Not far away, Tao Zhexuan showed shock on his face, and muttered to himself: "What kind of monster student did I teach!"

"Scheiβe!" Schultz next to Tao Zhexuan couldn't help but cursed in German, and finally showed a look of complete admiration on his face, "This guy is more powerful than I imagined!"

...

"good!"

On the other side, Qiu Chengtong, who had been paying close attention to Pang Xuelin's proof process, slapped his thigh with excitement on his face.

Zhang Deye on the side had been away from the front line of scientific research for many years, and he couldn't keep up with Pang Xuelin's train of thought at all. He couldn't help but say, "Old Qiu, has Professor Pang proved it?"

Qiu Chengtong nodded and said, "No accident, there should be no problem!"

"That's good! That's good!"

Zhang Deye finally let out a long breath of relief.

...

After passing the most core demonstration link, everything that followed became smooth and orderly.

The sixth whiteboard...

The seventh whiteboard...

The eighth whiteboard...

[Let c=p^ku, a=p^hw, ku≥0, hw≥0, ... Therefore, for any ε\u003e0, there is a constant kε\u003e0, satisfying: c\u003ckεrad(abc)^1+ε , the conjecture is established! 】

In the conference hall, a needle can be heard quietly.

All the participating mathematicians fell into silence.

The staff and hotel waiters who served the report at the venue also seemed to be overwhelmed by the atmosphere of the scene, and they were all silent.

Qi Xin, who had been hiding in a corner and following the progress of the report meeting, couldn't help covering her mouth with both hands excitedly at this moment, and a sparkle flashed in her eyes.

Pang Xuelin put down his sore right hand, turned around, looked at the people in the conference hall who had fallen into silence and sluggishness, and said with a smile: "According to the above proof, the abc conjecture is correct, and there are finite counterexamples!"

The final word!