From small town scholar to chief scientist

Chapter 247
Starting from the direction of geometry is a new way to study the ABC conjecture.

But this approach is also much more difficult than the conventional method.

But Zhou Yi's paper is definitely easier to understand than Mochizuki's paper.

Nowadays, almost all mathematicians who study geometry and number theory in the world know Zhou's geometry and Zhou's analytic method.

Therefore, although Zhouyi's thesis is difficult, it is not impossible to understand.

Moreover, every time Zhouyi writes a thesis, the proof process is generally written in great detail,

Only those papers on Zhou's geometry back then were very obscure.

Not long after, Zhou Yi has already begun to get to the point.

"The form of the ABC conjecture we are familiar with is as follows:

For any positive number ε>0, there are only a finite number of triples of coprime positive integers (a, b, c) that satisfy a+b=c such that c>rad(abc)^(1+ε).

In its equivalent form, we may rewrite it as:
For any positive number ε>0, there is a constant K_ε>0, so that for all coprime positive integer triplets (a, b, c) satisfying a+b=c, there is K_ε·rad(abc)^(1 +ε).

Start with the modulus space of elliptic curves."

Zhou Yi began to talk about his thinking, and then went on to talk about the specific steps.

There was no discussion, no whispering at the moment.

ABC guessed that it was a global report in 12.

Like Wiles' proof of Fermat's Last Theorem in 1993 and Perelman's proof of the Poincare Conjecture in 2002, it caused a global sensation.

Except for the Kepler conjecture, all the conjectures proved by Zhouyi at the beginning are far less important than the ABC conjecture.

Including Goldbach's conjecture and Polignac's conjecture (twin prime conjecture).

There are many reasons why the ABC conjecture is so important.

For example, Goldbach's conjecture, twin prime conjecture, Fermat's conjecture, etc. all have the characteristics of the interaction between the additive property and the multiplicative property of the ABC conjecture.

To describe the ABC conjecture in an extremely simple way, it is nothing more than the following,
1. Multiply A, B, and C, for example (the result is 3×8×11=264;

2、对乘积进行素数分解，结果是 264＝ 23×3×11；

3、将素数分解中所有不同的素数乘起来，结果是 2×3×11＝ 66。

Compare the larger of the three numbers A, B, and C (that is, C) with the result of step 3.

We find that the latter is greater than the former (since the latter is 66 and the former is 11).

Another example is (16, 17, 33), and the same result will be found.

If you look for some other examples at random, you are likely to find the same result.

But if you think that this is a law, it is completely wrong, because not only is it not a law, but there are infinitely many counterexamples.

For example (3, 125, 128) is a counterexample.

If the result of step 3 is amplified to a power greater than 1,

Even if the power is only a little bit larger than 1 (such as 1.00000000001), the situation may make a big difference.

At this time, although it is still not necessarily guaranteed to be greater than the larger of the three numbers (ie C), the number of counterexamples will change from infinite to finite.

This statement is another form of ABC conjecture.

As time passed, Zhou Yi continued:

"Starting from the refinement of Baker's theorem, slowly approaching the ABC guess,

The results in this respect are the following results obtained by CLStewart and Yu Kunrui (1996) using the Baker theorem: the following results obtained by the theorem: c<exp{C(rad(abc)^(1/3+ε))}”

With the emergence of this question, the atmosphere on the scene obviously reached a climax.

Zhou Yi's speech speed began to become more and more open,

“下面，引入周氏解析法之中的定理1、定理9、定理17、推论3、推论12；

引入周氏几何之中的定理3、定理7、定理9、推论1、推论7”

With the introduction of Zhou's analytical method and Zhou's geometry, the idea of ​​the whole proof becomes clearer and smoother.
A perfect situation has been reached, and countless mathematicians who were originally confused are now suddenly enlightened.

The originally weird proof instantly became clear and clear.

The atmosphere in the entire venue reached an extreme climax.

Those who can understand Zhouyi papers in 20 days are not very long, and basically belong to the top of the number theory industry.

More people are half-understood and half-understood, and they all come with great doubts.

Now that the Zhouyi has been explained to this point, many mathematicians are already very clear.

They all looked at Mochizuki Shinichi who was constipated.

Mochizuki Shinichi couldn't help being annoyed when he saw many people looking at him one after another.

See what I'm doing, after Zhou Yi's proof paper came out,
Did Mochizuki Shinichi say that Zhouyi is not good?

Mochizuki Shinichi ignored it, and still watched Zhouyi's explanation.

Schultz on the side is not so easy to talk to.

Who wouldn't know how to beat a dog in the water?

"Xinyi, take a look, are there any mistakes in the Zhouyi paper?"

Schultz said cheaply.

Mochizuki was expressionless and ignored Schultz's words.

Schultz continued:
"I have to say that Zhou Yi's proof method is actually connected with several conjectures he proved before.
It can be seen that Zhou Yi wanted to prove the ABC conjecture at the beginning, but only after hitting a wall did he start with Bill's conjecture, Goldbach's conjecture and other conjectures. "

Jacob Stix added:

"It can be seen that Zhou Yi has won the true biography of Grothendieck, and has also studied your cosmology thoroughly.

If you are not familiar with it, how can you have the shadow of your cosmology? "

Jacob Stix and Peter Schultz deliberately sat next to Mochizuki Shinichi.

I don't have a good laugh and sarcasm today, I'm sorry for the 18-year enmity.

The two are also very familiar with Mochizuki Shinichi's cosmology, so they are naturally well versed in this.

Using some ideas in Mochizuki Shinichi's cosmology to prove the ABC conjecture is really murderous.

Mochizuki Shinichi's complexion almost turned into a pig's liver color.

His fists were clenched, and the veins on his forehead were about to burst out.

Your mouth is really a sharp knife that kills without blood.

In order to prove the ABC conjecture, Zhou Yi read Mochizuki Shinichi's paper completely.

If something is useful and can be transformed into your own theory, just borrow it.

Anyway, you Mochizuki Shinichi will not use these theories correctly,
I, Zhou Yi, personally teach you how to use it, how to use it as an auxiliary theorem, and how to use it to prove the ABC conjecture.

Right now, the proof process of Zhouyi has come to the end.

After the previous preparatory work is correct, the next step is a matter of course and a matter of course.

Since Grothendieck's death, Faljens, except for Purcell and Schulz, has not put the world's mathematicians in his eyes.

Including his senior brother, Professor Deligne.

Not to mention the rest.

It is even more difficult to catch the eye.

The shock that Zhou Yi brought to him now is no different from the shock that his master brought to him back then.

At this time, Qiu Chengtong and Faljens looked at each other in unison.

The meaning in the eyes is self-evident.

Qiu Chengtong whistled towards Faljens,
As if to say, how is my apprentice, compared to your island country apprentice Mochizuki Shinichi?
There was a hint of embarrassment on Faljens' face, but he looked elsewhere without any trace.

When Faljens looked elsewhere, he saw Mirno again.

Mirno smiled at Faljens, as if saying,
"How is my apprentice Zhou Yi better than your apprentice Mochizuki Shinichi?"

Faljens could only look at Mochizuki Shinichi in embarrassment.

However, when Faljens saw Mochizuki Shinichi sitting with Schultz and the others,
He had to look awkwardly at Zhou Yi who was on the podium.

It turns out that his apprentice is also very embarrassed now.

MMP, in this situation, it's not about who is strong and who is awesome, but whose apprentice is weak and who is embarrassed.

Just when everyone's eyes met, Zhou Yi said on the stage:
"To sum up, we can get c≤C(ε)(rad)(abc)^(1+ε)."

At this moment, there was warm applause from the audience.

Afraid of embarrassment, Faljens wanted to leave early, but was intercepted by Qiu Chengtong and Mirno at the same time.

Qiu Chengtong said:
"My incompetent apprentice, I am a hammer and a stick, doing mathematics, physics, chemistry, and artificial intelligence;

But ah, the attainments in number theory are indeed good. I think that kid Shinichi might be able to learn from Zhou Yi. "

Milno also said:

"Xinyi is still too young after all, and needs to learn more. In the future, Riemann conjectures, there is a high probability that Zhou Yi will clean him up.
Our old stuff is outdated. "

Faljens is an MMP in his heart, Mochizuki Shinichi and Zhou Yixue, isn't he a generation younger than you?
Running to take advantage?

You are not yet a weapon, your apprentice is not a weapon, who is an apprentice?
Is my junior high school apprentice Mochizuki Shinichi?
Ma De, you used to pretend too much, and now the retribution is coming.

Faljens inner MMP.

At this time, many media and reporters were taking pictures.

After all, Faljens is a person who pays attention to demeanor, so it is not easy to get angry directly.
With a cold snort, he left directly.

Mirno complained to Qiu Chengtong:

"This old guy is relying on himself as a direct disciple of Grothendieck, so he doesn't take us seriously. Whoever is young is not a genius."

Qiu Chengtong said:
"Maybe we have a [-]-[-] split, but our apprentice is really better than him."

At this point, it's time to ask questions.

Many people present brought small notebooks and took a lot of notes.

It was brought up one by one at this moment.

Zhou Yi smiled, without any impatience, and answered everyone's questions patiently.

Let the people who had doubts suddenly become enlightened in an instant.

"Professor Zhou is really a god in the field of number theory. I think Professor Zhou will really solve the Riemann Hypothesis."

Li Wenqing, a Chinese female professor at the University of Pennsylvania, said to Zhang Shengrong, a Chinese female mathematician at Princeton.

Professor Zhang Shengrong said:
"Professor Li, I had this feeling when I was in Princeton.

do you know?The Zhou's geometric complex analysis method is simply too perfect.

It is more shocking than proving the 3n+1 conjecture. "

"Shall we go home?"

Li Wenqing said suddenly.

"Go home?"

Zhang Shengrong was silent for a while and said:
"Join Yu High Court?"

Li Wenqing said:
"Yes, my husband Yang Jianping also wants to return to China. Isn't the Yugao Court recruiting talents from all over the world? Are we qualified?

There are beautiful mountains and clear waters here, which is suitable for helping the country train mathematicians while providing for the aged. "

Zhang Shengrong said:
"Zhou Yi invited me before, I'm thinking about it."

Both of them are mathematicians from Wanwan, and they still have a place in the mathematics world.

It is not impossible to return to the embrace of the motherland.

Li Wenqing said:
"Returning to the motherland may be the most correct choice, Shengrong, think about it carefully. Fallen leaves must return to their roots."

Just as everyone was discussing in low voices, the entire meeting was about to end, and just as everyone was about to leave,
Qiu Chengtong said loudly with a microphone:

"Everyone, stop, take advantage of the fact that many colleagues are here today, I am here to announce something,
The 2026 International Conference of Mathematicians will be held at the Yuzhou Institute for Advanced Study. "

Everyone looked at the mathematicians in Ugly Country with pity.

It was originally planned to be held in Philadelphia, the ugly country, but now it has become the Yuzhou Advanced Research Institute of the Great Xia Country.

But in the world of mathematics, strength is also respected.

Zhou Yi's current strength and influence are not weaker than some double prize winners.

Is it bad to give a young mathematician a face?

If you offend Zhou Yi and don't want your Fields Medal, then it will be embarrassing.

Another Perelman?
It was already past 6 o'clock in the evening, and everyone began to slowly walk towards the cafeteria, preparing for the mathematician party tonight.

And Zhou Yi was surrounded by a group of media at the moment,

"Professor Zhou, we are reporters from a certain foreign TV station."

"Professor Zhou, please accept our interview."

"Professor Zhou, can I take a photo with you? Just one, I want to go back to our school to show off to the younger students."

"Professor Zhou, can I shake hands with you? Just shake hands, I'm stupid, who is it, my hand hurts so much"

"Brother Zhou, can I ask you some math problems tonight? I am a math student at a university in country X, and I admire you so much.

I can do anything~"

Zhou Yi looked dull, I'll go, this is something inexplicable mixed in.

Xueyuan?
I actually met Zhou Yi.

She is also a foreign girl.

At this time, Xia Xue looked at these malicious women vigilantly like an eagle guarding a chick.

Xia Xue believed in Zhouyi's determination, but she didn't believe in the moral integrity of this group of scholars.

If there is a little scandal with Zhou Yi, their net worth will double immediately.

Even some academic editors will pay more attention to them.

Zhou Yi was dragged by Xia Xue and ran out of the academic lecture hall.

Then go straight to the cafeteria.

At the evening dinner, Zhou Yi was already planning to get drunk.

So go with Xia Xue, at least Xia Xue will take her back when she is drunk.

Instead of being taken by Xueyuan to do some indescribable things.

Just as Zhou Yi and Xia Xue were on their way to the cafeteria, several disciples of Zhou Yi surrounded them.

Zhang Jiahui, Shen Yiyu, Zhang Dugang and Jiang Guoyu, the four pure math students all looked at Zhou Yi with admiration.

Zhou Yi said to them:

"Someone will come to drink later, I am not very familiar with people, please remember to help me block the drink."

Zhang Jiahui looked at Zhou Yi in a daze, and said:
"Professor, how do we know who is familiar with you and who is not familiar with you?"

Zhou Yi's words put a lot of pressure on them.

Zhou Yi said:

"Act according to my face!"

The four of them had question marks on their faces:? ? ? .

　That year, the author put his hands in his pockets and didn't know what the new crown was.Ha ha ha ha ha ha ha!

　　
　
(End of this chapter)