"It's finally almost. Pen @ fun @ pavilion wWw. ｂｉｑUｇE。 ｉｎｆｏ”

After everyone left, Wang Qi relaxed slightly. He leaned back on his desk, slightly relieved.

A staged victory was achieved.

It's not like he's not unsupported now.

For Wang Qi, He Weier is the best "thigh" at this stage. Although Feng Luoyi, who secretly deployed the entire Immortal League, was in power, his true identity was unknown now, and he had only secretly dispatched various affairs of the Immortal League. And this kind of scheduling work also greatly involved his energy. As far as Wang Qi knows, Feng Luoyi's remaining energy is now all on logic.

And Ho Weer is different. He was himself a disciple of the Counter, and later joined the Lian Sect, and his structured mathematical ideas were closer to those of the Bourbaki school than those of the other Goting schools. It is possible that He Weier will support him. In addition, He Weier, as the leader of the Geting School, has always appeared in the Ten Thousand Laws Gate in his true body.

Moreover, he is also the current leader of the Goting faction.

He Waier can do a lot just by secretly supporting.

"Well, now that the external troubles are gone, I can focus on what I want to do. ”

Wang Qi loosened his muscles, sat upright again, took out the pen and paper, and began to write.

New papers.

I haven't felt it in a long time.

Wang Qi's mind quickly cleared up, and many ideas about algebraic topology surfaced in his mind one by one in the past few days. For a moment, he was a little unsure 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 very suitable for being reflected in a short "paper" - of course, it may also be that Wang Qi is not very comfortable with this way of thinking.

That's the way Grothendieck's genius thinks.

In addition to changing the practice of self-consciousness and mana, Wang Qi also expanded his mind in some ways.

If one day, he had to break through to the Yuan Shen stage with the method of the current stage, he at least hoped that at that time, he already had a mind that surpassed his current self.

Imitating other geniuses, it's easy to get caught up in a situation where there's no trace. Because other geniuses rely either on hard work or inspiration - and of course, many rely on both. But only Grothendieck is known for his "different way of thinking".

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

He was deliberately training himself to approach the thinking that had changed the entire planet.

Countless problems are presented in Wang Qi's eyes with a new structure. Those propositions, equations, and theorems are still the original content in Wang Qi's eyes, but for some reason, Wang Qi actually gave birth to a taste of "seeing mountains is not mountains, and seeing water is not water".

He knew that he seemed to be one step closer to "a broader mathematical structure under the theorem."

So, with a plan in mind, he began to pick up the pen and write down the outline first.

This time, he wanted to write two papers.

The first is his thinking on the field of monomorphic singular topology these days.

"Shape" is a concept proposed by the Counter Pang Jialai, which is the sum of a group of crystal planes connected by symmetrical elements. Tetrahedra, cubes, octahedra, and more complex tetragonal hemitrianghedron and partial dodecahedron are all geometric monoforms. There are forty-seven species of this monoform.

Form is the most basic construction of geometry - at least in the eyes of the arithmetic.

The study of the properties of monomorphic forms and their expression in highly abstract metaphysical algebra is the monomorphic algebraic topology.

In other words, it is a discipline that ignores specific geometric figures and explores the mysteries of them entirely in the language of "concepts".

"Metaphysical" instead of "metaphysical", "abstract" instead of "concrete", "concept" instead of "operational".

This is the most standard deviant way of thinking.

It's just that on Lianzong's side, the monks will regard it as an evil way.

- Although the algebraic topology was created by the arithmetic. For Shuanjun, this is just a by-product of his research on "pluralistic calculations" [three-body problem, n-body problem].

When he was young, he relied on this kind of deviant thinking to solve a special problem.

This question is called the "Unchanging Source Question" and is one of the branches of arithmetic. Can any given homogeneous polynomial be represented as several invariants? Is the total number of these invariants finite? Is there a connection between these finite invariants, or fundamental invariants?

At that time, it was by solving this problem that another monk was able to break through the last hurdle and achieve the goal of getting away [before the Demon Emperor's Rebellion]. The monk who initially charged the question came to the conclusion that when the degree of the polynomial is greater than eight, it is impossible to solve it with a finite invariant. However, the monk corrected the mistake. He can show that any two variable forms of invariants can become the most basic invariant. His proof process is almost like a book, but there are countless specific formulas that are convincing.

This monk was known as the "Constant King" at that time.

And it only took a very short process for the master to prove this. He is not like the constant kings of his predecessors, who put a formula on a formula, and wrote down the proof process of the invariant formula step by step. At that time, the master only proceeded from the basic theorem and made basic logical calculations. The whole process does not involve any specific inequalities, nor does it have any specific numbers.

Even Ge Dan, who was already revered as the "King of Constants", exclaimed in horror: "This is not counted!

-- This is not arithmetic, this is metaphysics!

After a decade or twenty, the monks gradually became accustomed to this wonderful method of proof. At this time, King Hengchang changed his words and hummed something like "Xuanzhi and Xuan, the Gate of All Wonders".

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

It is also very similar to Wang Qi's experience now. It's just that the seniors who were shocked by the spirit of the young arithmetic master were just shaken in their hearts. There was nothing wrong with the King of Permanence himself, he just didn't find a "shortcut"—a shortcut that only a certain mind could discover.

And Wang Qi completely denied the belief of the master.

It's also very strange to say, although Wang Qi denied the master, he still felt that the master was full of people, and he was full of qualifications, and even often used the deeds of the master to motivate himself, thinking, "It would be nice if I could drag it like this one day." ”。

This is also the first time that Lizong has bloomed in the Shenzhou Immortal Dao.

And Grothendieck is even more extreme than the thinking of the lord back then. The genius of the earth doesn't even care about any specific problem, he just studies the mathematics itself, and then solves the problem by the way.

Soon, the first paper was written.

Wang Qi looked back, shook his head and smiled: "This is written, the whole article is chatter, and I guess no one likes to read it." ”

His essay can be called logically rigorous, and the thought process is interlocking. But in the eyes of ordinary Wanfa Sect disciples, this paper is like babbling a lot of nonsense, and they can't understand it at all.

This is just a summary of Wang Qi's thinking in the past few days.

Then, Wang Qi began to write the second article.

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

-- Layer Theory.

Unlike the first paper that introduces one's own thoughts, this kind of 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 concrete, it is very simple to write a paper with a limited length.

The most cited papers in Grothendieck's lifetime are of this nature.

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

Boom.

"New Dao Apparatus - A Kind of Mapping to Describe Topological Space". ”

"Upper Homophony and Spectral Sequence of Layers". ”

This topic is divided into two articles to explain. ”

The first part preliminarily defines the layer, and the second part introduces the other definitions, properties, and concepts of the layer.

"Differentiation...... Mapping ......"

With Wang Qi's writing, his practice once again changed slightly. The countless operators in Wang Qi's body differentiated with a certain law, and then the power in his body rippled, gradually differentiated, and a new flow was faintly formed.

This kind of thing is the easiest thing to translate into an actual means of practice than a highly abstract concept.

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

For Wang Qi, it is very simple to transform into his own cultivation.

......................................................................................................................................................

Two days flew by.

At noon the next day, the "communicators" who had received the notice in advance came to the door of Wang Qi's house early. For this team of nearly 100 people, Wang Qi smiled, pointed to the tables and chairs arranged at the door, and said, "Everyone, sit." ”

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

"A little progress, not enough to worry about. ”

For Wang Qi, what he asked for was nothing more than a small branch on the vast system of the Bourbaki school, but others listened to it with great excitement.

――Isn't this guy saying "do a little basic work and learn one for the time being?"

- Follow him, and there will be nothing wrong with it.

Wang Qi cleared his throat and said, "I also thought about it. It is good for everyone to have a fixed group of people to communicate. However, the reason why we get together to discuss is also because we have similar interests. However, I have never believed people's hearts, and no one knows who will change their minds one day. In order not to break up unhappily, we need to make a charter before we discuss it - you have no opinion. ”

Everyone was in high spirits.

The play meat is coming. (To be continued.) )