Enter the Immortal Cultivation

"It's almost done."

After everyone left, Wang Qi relaxed slightly. He leaned on his desk and breathed a sigh of relief.

He achieved a staged victory.

He is not without support now.

For Wang Qi, He Waier is the best "thigh" at this stage. Although Feng Luoyi, who secretly coordinates the entire Immortal Alliance, holds great power, his true identity is unknown now, and he has been secretly dispatching various affairs of the Immortal Alliance. And this dispatching work has also greatly involved his energy. As far as Wang Qi knows, Feng Luoyi's remaining energy is now all on logic.

But He Waier is different. He is a disciple of the master of calculation, and later he also joined Lianzong. His structured mathematical thinking is closer to the Bourbaki school than other free and easy people of the Geting School. He Waier is likely to support him. In addition, as the leader of the Geting School, He Waier has always appeared in the Wanfa Gate in his true body.

Moreover, he is the current leader of the Geting School.

He Waier can do a lot of things just by secretly supporting.

"Very good, now that all the external troubles have been cleared, I can focus on what I want to do."

Wang Qi stretched his muscles, sat up straight again, took out a pen and paper, and began to write.

New paper.

It's been a long time since I felt this way.

Wang Qi's mind quickly became clear, and many ideas about algebraic topology emerged in his mind one by one in the past few days. For a moment, he was a little unsure about which part to choose as his first paper. Because when he first asked himself to think, he ignored the "purpose" and simply thought about the structure.

This way of thinking may not be suitable for a short "paper" - of course, it may just be that Wang Qi is not very adaptable to this way of thinking.

This is the way of thinking of Grothendieck's genius.

In addition to changing the method of self-consciousness and combining it with magic power, Wang Qi also expanded his thinking in some aspects.

If one day, he has to break through to the Yuanshen stage with the current method, he at least hopes that at that time he will have a better thinking than himself now.

Imitating other geniuses can easily lead to a situation where there is no trace. Because other geniuses either rely on hard work or inspiration - of course, there are many who rely on both at the same time. But among them, only Grothendieck is famous for his different "way of thinking".

Wang Qi now doesn't know how Grothendieck thought back then, but this period of history is very close to his profession in his previous life. He is at least familiar with this period of history, at least part of Grothendieck's life trajectory.

He is deliberately training himself to get closer to the thinking that once changed the entire earth.

Countless problems are presented in Wang Qi's eyes with new structures. Those propositions, formulas, and theorems are still the same content in Wang Qi's eyes, but for some reason, Wang Qi actually has a taste of "seeing mountains as not mountains, and seeing water as not water".

He knows that he seems to be one step closer to "the broader mathematical structure under the theorem".

So, he knew what he was doing and started to write down the outline first.

This time, he wants to write two papers.

The first one is his thinking about the field of simplex singular topology these days.

"Shape" is a concept proposed by the Calculator Pang Jialai. It is the sum of a group of crystal faces connected by symmetry elements. Regular tetrahedron, cube, octahedron, and more complex complex tetrahedron, complex dodecahedron, all belong to geometric simplex. There are 47 such simplex.

Shape is the most basic construction of geometry - at least in the eyes of the Calculator.

The study of the various properties of simplex and its expression in highly abstract metaphysical algebra is simplex algebraic topology.

It is a discipline that ignores specific geometric figures and completely explores the mysteries in the language of "concepts".

Replace "metaphysical" with "metaphysical", "concrete" with "abstract", and "calculation" with "concept".

This is the most standard way of thinking to leave the sect.

On the Lianzong side, the monks will regard it as a heresy.

-Although algebraic topology was created by the Calculator. For the Calculator, this is just a by-product of his study of "arithmetic of multiples" [three-body problem, N-body problem].

When the master of mathematics was young, he solved a special problem with this kind of thinking outside the sect.

This problem is called "the source of invariance", which is one of the branches of mathematics. Let's ask, can any given homogeneous polynomial be expressed as several invariants? Is the total number of these invariants finite? Are there any connections between these finite invariants - or basic invariants?

At that time, another monk was able to break through the last level and achieve freedom [before the Demon Emperor's Rebellion] by solving this problem. The monk who initially attacked this problem came to the conclusion that when the degree of the polynomial is greater than eight, it is impossible to solve it with finite invariants. However, that monk corrected this mistake. He can prove that any invariant in the form of two variables can become the most basic invariant. His proof process is almost a book, but he lists countless specific formulas, which makes people convinced.

This monk was called "King of Eternity" Ge Dan at that time.

But the calculation master only used a very short process to prove this point. He is not like his predecessor, King Chang Chang, who writes down the proof process of invariants by going through specific formulas step by step. At that time, the calculation master only started from the basic theorem and made basic logical calculations. The entire process does not involve any specific inequalities, nor any specific numbers.

Even Ge Dan, who was already revered as the "King of Eternity", exclaimed in horror: "This is not the case! Xuan Zai!"

——This is not arithmetic, this is metaphysics!

After more than ten or twenty years, the monks gradually became accustomed to this wonderful method of proof. At this time, King Hengchang changed his tune and hummed something like "Mysterious and mysterious, the door to all mysteries" and the like.

And this time it was proved that it was also the deeds of the Lord when he broke through the sky.

It is also very similar to Wang Qi's experience now. However, the senior who was mentally shocked by the young calculation master was only mentally shaken. The King of Eternity himself was not wrong, he just failed to discover a "shortcut" - a shortcut that only specific thinking can discover.

Wang Qi, on the other hand, completely denied the Belief of the Calculator.

It's strange to say that although Wang Qi rejected Suan Zhu, he still felt that Suan Zhu was a very strong person. He even often used Suan Zhu's deeds to motivate himself, thinking, "One day I can be like this." alright.".

This is also the first time Li Zong has blossomed in the Immortal Way of China.

As for Grothendieck, his thinking was even more extreme than what he thought back then. This genius on earth doesn't even care about specific problems. He just studies mathematics itself and then solves problems by the way.

Soon, the first paper was finished.

Wang Qi looked back, shook his head and laughed: "This whole article is full of chatter, and I guess no one will like to read it."

His thesis can be said to be logically rigorous and the thinking process is interlocking. But in the eyes of ordinary Wanfa disciples, this paper seems to be a lot of nonsense, and they cannot understand it at all.

This is just a summary of Wang Qi's thinking these days.

Then, Wang Qi began to write the second article.

This second article is much easier to write than the first. This paper mainly introduces a mathematical tool developed from algebraic topology.

——Layer theory.

Unlike the first paper that introduces one's own ideas, this paper that introduces a certain mathematical tool is born with a very specific direction.

As long as the direction is specific and the conclusion is specific, you can easily write a paper of limited length.

The most cited paper in Grothendieck's life was also of this nature.

Wang Qi closed his eyes, pondered in his heart, and then opened them.

Swish, swish, swish.

""New Daoqi-a type of mapping describing topological space"."

""Layer Cohomology and Spectral Sequence"."

"This topic should be explained in two parts."

The first article initially defines layers, and the second article introduces other definitions, properties, and concepts of layers.

"Differentiation... mapping..."

As Wang Qi wrote, his skills once again changed slightly. Countless operators in Wang Qi's body differentiated according to certain rules, and then the power in his body rippled, gradually differentiated, and faintly formed new flows.

Compared with highly abstract concepts, this type of thing is easiest to transform into practical means of practice.

Not to mention, these mathematics also have practical applications in the two cutting-edge physics fields of condensed matter and gauge fields.

For Wang Qi, it can be easily transformed into his own cultivation.

………………………………………………………………………………………………………………………………

Two days flew by.

At noon the next day, the "communicators" who had been notified in advance arrived at Wang Qi's doorstep early. Wang Qi smiled at the team of nearly a hundred people, pointed to the tables and chairs arranged at the door, and said, "Everyone, sit down."

Zhao Qingtan felt that although Wang Qi was mentally tired, the aura on his body gave him an "unfathomable" feeling. He was a little excited and asked: "Wang Qi, have you made any progress again?"

"Slight progress is not worth mentioning."

For Wang Qi, what he sought was just a small branch of the huge system of the Bourbaki School, but others were excited to hear it.

——This guy also said "do some basic work for the time being and learn something". Isn't this fruitful?

——Follow him and you will never go wrong.

Wang Qi cleared his throat and said: "I have also thought about it. It is good for everyone to have a fixed group of people to communicate with. However, the reason why everyone gathers together to discuss is because we have similar interests. But, I People have never been able to trust each other, and no one knows who will change their minds one day. In order to prevent everyone from breaking up unhappy, we have to make a charter before we discuss it - you have no objections. "

Everyone was in high spirits.

Here comes the drama. (To be continued ~^~)