From small town scholar to chief scientist

Chapter 327 When he was a boy in white clothes and angry horse, he climbed to the top and became the peak!
Zhou Yi had just appeared on stage, and the entire academic lecture hall fell silent.

Everyone looked at Zhou Yi in unison.

I don't know why, everyone always thinks that Zhou Yi is more handsome than before,
Maybe it's an illusion that I haven't seen in a long time.

There are too many press conferences held by Zhou Yi, and every conjecture is full of gold, which is the kind that caused a sensation in the mathematics world.

So almost everyone who came here knew each other.

Looking at the crowds of top mathematicians and the world's top media,
Even if Zhouyi experienced many similar situations,
It is also inevitable that the heart is surging.

This is an epoch-making press conference, and it is our own era of mathematics!
An era of mathematical prosperity begins.

Xia Xue and Xiao Wanyi in the audience clenched their fists tightly,
Bao Jingnan, deputy director of the Literature Institute and former director of the Literature Institute of Yuzhou University, looked at Xia Xue and said:
"Relax, he has never made a mistake since his debut."

Xia Xue nodded and said:
"At home, he told me that there was no problem at all, but when he arrived at the scene, he still couldn't help worrying."

Just then, a bell rang,
Nine o'clock sharp.

Zhou Yi was sitting upright, and under the eyes of all the people, a line of big titles appeared in the air.

[BSD Conjecture - Understanding Problems of Indeterminate Equations]

There was no need for a silver screen. Everyone was surprised and at the same time calmed down instantly.

The maturity of 6G technology is enough to support such a complex technology.

This time it is not only a journey in the ocean of mathematics, but also an experience of technology.

Zhou Yi glanced at the guests present, saw many acquaintances, and also saw Xia Xue and Xiao Wanyi,
Then slowly began to say:
"Mathematics is a subject with a long history, and number theory is an ancient branch of mathematics with a history of at least 2000 years."

With the slow explanation of Zhou Yi, the letters in the sky also changed, and the video of that era appeared on the screen.

While everyone was shocked, they didn't dare not pay attention to the lecture.
"For more than 2000 years, the distribution of prime numbers and the understanding of indeterminate equations with rational coefficients have also puzzled people.

As early as the 3rd century BC, Euclid used the method of contradiction to prove that there are infinitely many prime numbers, and sought a general solution to the Pythagorean Theorem.

Five or six hundred years later, roughly during the period of the Three Kingdoms, Diophantus concentrated on the study of indeterminate equations composed of polynomials with rational coefficients, and discussed their rational solutions.

His "Arithmetic" is the first human book to systematically expound algebraic equations, discussing many related issues, so the indeterminate equation is also called the Diophantine equation.

In the following nearly 2000 years, people have used various methods to try to solve these problems and obtained some results, but there are also many limitations.

Since modern times, mathematicians have gradually proposed more complex and profound methods, borrowed tools from many other branches of mathematics, and advanced the understanding of related issues to a certain extent, but there are still many unresolved issues.

The BSD conjecture is an example of an indeterminate equation problem. "

Zhou Yi still briefly introduced the ins and outs of it,

"After the advent of the modern theory of elliptic curves, this isolated ancient problem became an example of a more profound modern theory, though still unresolved.

But many problems in number theory with a long history and higher-order Diophantine problems can be transformed into the problem of the cubic indefinite equation of the elliptic curve.

It is precisely because of this universality and a profound structure of its solution set that we are deeply attracted to study it persistently. "

"In a sense, it can be said that this is a problem that has spanned more than 2000 years. Today, I think we can tell those mathematical ancestors loudly that this problem has a specific result."

Speaking of this, countless people feel turbulent, and the moment to witness history may be today.

The ancient number theory problem that has lasted for thousands of years is just today!

All the people present had solemn expressions, and they didn't dare to take a breath or make a sound.

This is the spirit of mathematics!

This is math culture!

This is the math heritage!

This is the sanctity and solemnity of mathematics!

After the video in the sky was played, Zhou Yi's thesis quickly and slowly emerged.

"It has been more than a month since the paper was published. I believe that many friends have read it and have a deep understanding.
So we won't repeat some simple basic questions here. "

Zhou Yi's voice was resonant, and he spoke in an unhurried manner, as if he was describing a trivial matter.

At this moment, you can hear the drop of a needle in the audience, and the silence is incomparable.

Everyone is listening attentively, for fear of missing a certain detail and making them unable to understand the following content and keep up with the progress.

"We may be able to give a new definition of the Selmer group in the language of Galois cohomology."

[Sel_K(Q_p/Z_p):=Ker{H^1(K, Qp/Zp)→∏_v(H^1(K_v, Q_p/Z_p)/(H^1)_f(K_v, Q_p/Z_p)) }. 】

As soon as Zhou Yi finished speaking, these lines of blue light curtains appeared in the air.

Countless people can see it clearly.

"Here v runs through all prime ideals of K; H^1 is the first-order Galois cohomology; the Galois group action on Q_p/Z_p is defined as an ordinary action;
definition:
(H^1)_f (K, Q_p/Z_p):= Ker{H^1(K_v, Q_p/Z_p) → H^1 (I_v, Q_p/Z_p)},"

Where I_v is an inert subgroup of v.

According to the basic theorem of class field theory, it is easy to see that the above-defined Selmer group canon is isomorphic to the p-part dual of the ideal group.

With the help of holographic technology, Zhou Yi sat on the podium and said,

You don't even need to move your fingers, very comfortable.

The previous part is the Selmer group, which is part of the content of Tian Ye and his partners at the beginning, which was quoted by Zhou Yi here,
Zhouyi narrates slowly, without rush or slowness, which is different from writing on the whiteboard before.
Writing blackboard writing on the whiteboard is very tiring, and there are many formulas and calculation steps line by line.
Even if they are streamlined, they will write a lot of whiteboards,

The advantage of holographic technology is that Zhouyi doesn't need to be written, just move your mouth.

"We then invoked Iwasawa's theory, which studies the properties of the relationship between L-functions and Selmer groups under the pro-p domain expansion tower, or more generally, under the p-adic family."

"The next step is the core part of our argument. The previous content is simple and easy to understand.
The next step is the variant application of Zhou's analysis method!And the connection with geometry! "

The application of Zhou's analytical method in the field of number theory is like the original circle method and sieve method.

It is the most convenient tool in the direction of number theory at present.

If someone studies number theory and does not know Zhou's analytical method, then he is basically a low-level mathematician.

Not even a mathematician.

Algebra and geometry and number theory, the three directions will get a strengthened connection in this paper.

Zhou Yi spoke eloquently on the stage, speaking very fast, and Xu Chengyang asked Zhang Wei:

"Old Zhang, you are studying the BSD conjecture, how is the situation now?"

Zhang Wei ignored Xu Chengyang, but waited until Zhou Yi stopped drinking water before he had time to say:

"What I didn't understand at the beginning, I now understand that Academician Zhou's argument is most likely correct.

And the more I got to the back, the harder it was. "

Yun Zhiwei sighed:

"Old Zhang, you partially proved the Kolyvagin conjecture under some preconditions, and at the same time proved a lot of conclusions by using the theory of Eisenstein series and the method of level-raising of modular forms.
Now I can't even understand it! ? "

Zhang Wei was a little embarrassed and said:

"I'm not a god. God is giving us lectures on it."

Zhang Wei's words made the golden generation of Beijing University collectively silent,
"There is also a little god sitting in the first row next to those math emperors."

In fact, in 14, Skinner and Zhang Wei proved a theorem of Gross-Zagier and Kolyvagin's inverse proposition cited in Zhou Yi's paper.

It can be regarded as using the conclusions and methods of many people before,

That's why Xu Chengyang was curious about it.

Faljens, who was in the front row, squinted his eyes, not knowing what he was thinking,
He is also involved in the field of number theory, while Xiao Wanyi on the side has a thoughtful look on her face.
Number theory is also her base camp, so far there is no big problem,

Taking advantage of this gap, Xiao Wanyi also reviewed the before and after of the Zhouyi paper,

See if you can find the error.

It is true to love Zhouyi, but this is two different things from my career and my hobbies.

Mathematics is rigorous and solemn, and no mistakes are allowed.

The slightest mistake is not allowed to exist, otherwise it is to smash your own signboard and job.

So once there is something wrong with Zhou Yi, the people sitting in the first row will point it out without hesitation.
It will not take into account the friendship of fellow students, nor the friendship between teachers and students.

Wrong is wrong, right is right.

There is no room for deceit!
Obviously, no one found a single mistake.

At this moment, after Zhou Yi finished drinking the water, he continued to say,

The tone is much slower than before, because the content of the second half is the core and the focus of this time.

The introduction of various theories is like a sharp sword piercing the fog,

Unified the originally chaotic situation, countless people held their breaths and did not dare to breathe loudly,
I was afraid that the little noise I made would disturb me.

With the final steps coming,

The entire lecture hall reached a climax.

Xiao Wanyi in the audience showed an extremely beautiful smile at this moment, her monstrous junior had finally opened the door to a new era.

The corners of the mouths of many super-class number theorists who were present said one after another:
"So that's how it is, that's how it is, it's really terrifying!"

Mochizuki Shinichi couldn't help but applaud at this moment, his eyes were full of excitement, Zhou Yi was truly astonishingly amazing,

"It turns out that you can still do this, Zhou Yi is really a super genius!"

But thinking that he was here to criticize, his face blushed again in an instant, and he ruthlessly suppressed the words of praise that were on his lips.

Countless reporters are taking pictures at this moment, and the historic moment is here.

This scene will surely be passed down in the history books of the history of mathematics, even for a long time in the future,
Occupy the headlines of various media in the world.

Xia Xue seemed to feel the atmosphere at the moment, and she put her hands together and silently prayed for Zhouyi.

The cloudy eyes of the aging Jean-Pierre Serre erupted endlessly at this moment,
Thinking back to when I was young, who wasn't a peerless math genius?

When the spirit is high, who doesn't look down on the world and regard the heroes of the world as nothing.

Jean-Pierre Serre was only 24 years old when the paper that shocked the mathematics world was published.

Now I see the high-spirited Zhouyi without looking back through the years, and I am very impressed,

After all, time turns cherries red and plantains green, which is easy to throw people away.

"This son has the demeanor of my past!"

Jean-Pierre Serre said to his old partners Deligne and Faljens.

Deligne twitched, how did this old guy get along with Mirno and Faljens?

Is it really in line with the old saying of the Great Xia Kingdom that those who are close to vermilion are red and those who are close to ink are black?

Deligne looked disdainful, and said lightly:
"Zhou Yi seems to be less than 22 years old, don't you think it's a lot worse?"

It's almost like telling me where your face is from.

Jean-Pierre Serre pretended to be stupid and pretended not to hear anything from Deligne, and said:

"En? It's only one or two years old, so what's the matter?"

Xiao Wanyi squinted her beautiful eyes, and said shallowly to her mentor:
"One or two years old, teacher, you can't surpass it!"

Jean-Pierre Serre was so angry that he blew his beard and stared when he heard that his direct disciple was arguing with him.
"Traitor! I taught you so much for nothing!"

Xiao Wanyi stuck out her tongue mischievously, blinked her eyes, and made a face, very naughty and cute.

In the École Normale Supérieure, Jean-Pierre Serre has been teaching Xiao Wanyi.

And of course Faljens.

Just when Jean-Pierre Serre and Xiao Wanyi were fighting each other,
The more talented Peter Schultz also looked at a loss at the moment.

"Wiles, the old saying of the Great Xia Kingdom is indeed true. There are people beyond people, and mountains beyond mountains. I am convinced today."

Wiles did not dare to accept the words of this genius,

Schultz's concept of a perfectoid space was published in 2011,

But the rumors were created a year or two earlier.

That is 2009, and 2010 is the International Congress of Mathematicians.

It is a pity that no one understood his theory at the beginning, and he won the Fields Medal in 2018 after accompanying him for one or two terms.

Otherwise, the youngest Fields Medal winner is Schultz.

In the past eight years, Schultz has received one award a year, or even one award every six months. The speed of winning awards is incredible.

However, these records were all ended by Zhouyi.

Even a future Xiao Wanyi could end Schultz's record.

Wiles originally wanted to mention Fermat's conjecture, but after thinking about it, it is better to keep silent.

At that time, I was in my 40s.

Wiles roared wildly in his heart: You are amazing, you Versailles, you are all super geniuses, I can keep silent!
At this moment, the voice of Zhouyi spread to everyone's ears one after another,

“Thus, from the above, the result is already very obvious.

Algebraic rank and analytic rank, they are equal.

And when R(E)=0, that is, L(E, 1)≠O, we can definitely conclude that this equation is equal:
L(E, 1)/R(E)=M丨SH(E)丨/丨E(Q)_t丨^2. "

At the end, Zhou Yi's voice was clear and loud,
With a sense of self-confidence and arrogance looking down on the world!
At this moment, Zhouyi seemed to be standing on the top of mathematics, becoming the supreme god!
This high-spirited look is deeply engraved in everyone's soul.

Qiu Chengtong seemed to think of two lines of poetry, and said them unconsciously:

"When the white-clothed angry horse was young, he reached the peak of Yiwei!"

This scene, no matter how many years have passed, the people present will probably never forget it for the rest of their lives.

The young man in white lashed out at Fang Qiu, in high spirits, pointing out most of the mathematics!
(End of this chapter)