One article, two articles...

Three articles, four articles...

It was not until the eighty-seven documents were downloaded that Chen Zhou stopped searching the documents.

Instead, he focused on studying these downloaded documents.

Between the last experimental data and a large amount of literature, Chen Zhou chose the latter.

In other words, Chen Zhou has not processed the experimental data until now, and has to be slightly shorter.

Professor Friedman, who had never looked for Chen Zhou, had to wait for a while before Chen Zhou took the initiative to look for him.

The literature downloaded by Chen Zhou almost includes experimental papers published by major mainstream research laboratories around the world.

It also contains some first-page papers from preprinted websites.

Of course, Chen Zhou really only used reference for these preprints.

Time soon reached noon. Chen Zhou, who was always immersed in the literature, put down the pen in his hand after finishing another document.

The time for physics today has passed.

After dinner, it is time for mathematics.

"Why don't you start with the Galois theory?"

Chen Zhou, who was sitting at the desk again, habitually took a pen and pointed a draft paper.

After looking at the content sorted out last night, he looked at the two major problems left by Professor Artin, who were written on the draft paper next to him, but Professor Artin called the "Galova Group's sub-topic"

Linear representation of the Artin l function”.

In the end, I decided to start with the Galois theory.

Chen Zhou still admires this theory that he is not very familiar with.

Chen Zhou admired the mathematician who commemorated this theory.

The history of mathematics is a gathering of geniuses, and Galois is undoubtedly the genius among geniuses.

From the age of 16 to 21, he systematically developed the whimsical idea of ​​replacing calculations with group theory and created the extremely wonderful Galois theory.

It is no exaggeration to say that Galois theory is a method of entering modern number theory and even modern mathematics.

When Wiles proved that Fermat's Grand Theorem is, it mainly applied the Galois theory.

The only regrettable thing is that Galois' age has always stopped at 21 years old.

Otherwise, he would likely become a person who surpassed his contemporaries such as Gauss, Cauchy, and Fourier.

Because these great mathematicians of that era did not understand Galois's theory.

For example, Abel published a paper titled "There is no general algebraic solution for the 1000 50 pages and a lot of calculations to prove that it is impossible to solve the root formula for a general 1000 50-page equation.

But if this is proved by Galois theory.

The argumentation process is that "the Galois group of general 100-50 equations is isomorphic to the total permutation group s5, and s5 is not a solutionable group, so general 100-50 equations cannot be solved by the root form."

This kind of gap is not necessary to be carefully savored.

When you see a large number of problems that are difficult to prove through complicated calculations.

When it can be used with exquisite mathematical structures to make concise and accurate proofs.

The beauty of Galois theory is reflected.

In Chen Zhou's words, unless he can develop mathematical tools and mathematical research directions next year that are as great as Galois's theory.

Otherwise, he would have really verified one thing, that is, some people? Even if they really cheat, they can't catch up...

What's even more terrifying is that Chen Zhou remembers where he saw that when the 21-year-old Galois wrote his main research results with extremely streamlined and jumping thinking? on draft paper.

No one knows? The Galova theory has been in Galova's mind for more than a year.

Of course, Galois may have gone with a bigger plug-in...

Chen Zhou was soon immersed in the Galois theory.

"Combining numbers and operations together can form a mathematical structure, which is a more essential? More abstract mathematical structure..."

"When we continue to abstract this structure from operations in the numerical and conventional senses?, the concept of 'group' is formed..."

Chen Zhou understood the concept of "group" from this perspective for the first time, and couldn't help but feel a little surprised.

Plus the concept of rings and domains.

These abstract guys appeared.

Group?     It can’t be formed casually.

Domain? Maybe more complicated.

These are also the steps you need to step on when climbing the peak of Galois theory.

It is also what Chen Zhou is addicted to at this moment.

"If groups, rings, and domains are taken as starting points, then the expansion of the domain in Galois theory is a root-like solution, and the root-like tower is a clever concept..."

"And the autoisomorphism of the domain, the correspondence between the Galois group and Galois is the stroke of God..."

The pen in Chen Zhou's hand left lines of text and mathematics on the draft paper.

The draft paper also changed from one piece to two pieces? Then it changed to three pieces...

Every one is filled with full.

And these are proof of the passage of time.

It took two days to eat the Galova theory deeply.

If anyone sees the draft paper of Chen Zhou studying Galois theory.

I would definitely be surprised to find that this guy actually simulated a thought process of Galois.

That is, Galois created the idea of ​​"Galois Theory".

Simply put? It is to look at numbers and calculations at a higher level.

Then the concept of group and domain is formed.

Then, through the domain and domain expansion methods, a more accurate mathematical definition of the equation can be given.

From the study of domains, we found that a certain type of autoisomal mapping of domains corresponds to the permutation of the root of the equation.

This has found the mystery that the root of equations can be solved.

Then he took the key to open the mystery door? That is, Galois corresponds to the domain column and the group column beautifully.

Finally, based on profound logical deduction, the concept of solving group was formed.

It also proved that the equivalent relationship between the root solution and the Galois group is the solutionable group.

Does it sound like step by step and not much time?

In fact, it did not take much time.

It took Galova nominally five years, but in fact, it may not have even been a year.

He created the core content of these Galois theories.

When Chen Zhou was studying and studying Galois theory, he also remembered a famous saying from Galois:

"Breaking out of the calculation, grouping operations, and classifying them according to their complexity, not appearance..."

After the Galois theory, Chen Zhou turned to the "Atine l function" of the sub-topic "Line representation of the Atine l function of the Galois group".

In this way, after returning from Providence, Chen Zhou started a new round of rotation learning mode.

In physics, a comprehensive review of literature materials is carried out.

Rely on the direction of wrong questions to determine your own research direction and the feasibility of the experiment.

In mathematics, the sub-project and brother guessing go hand in hand.

However, the sub-project progresses faster and takes more time.

My brother guessed that he could only play soy sauce next to him and occasionally glance at whether there was any movement in the distribution deconstruction method.

This does not go against Chen Zhou's original intention.

Because Chen Zhou is looking for and making up for the knowledge of algebraic geometry.

His purpose is to develop distribution deconstruction through the content of algebraic geometry.

This will solve the answer to this difficult problem from the side.

During this period, Yang Yiyi was mainly in the ligo side.

Halfway through, I followed Professor Wes to Europe for an academic exchange.

In this regard, Yang Yiyi also specifically asked Chen Zhou if his mentor had mentioned this to him.

Chen Zhou's answer is naturally no.
To be continued...