Go back to the past and be a schoolboy

Chapter 5 finalizing the thesis
The selection of research topics is not blind, but requires careful consideration.

On the one hand, Cheng Nuo had to frame and select targets based on his own abilities.At present, he only specializes in mathematics, and other subjects are just a little more predictable than ordinary people, and there is still a long way to go before publishing a paper alone.

The papers that can be published at the moment can only be limited to the subject of mathematics.

On the other hand, the topic selection of papers should not ignore everything for the sake of being famous, and choose some large topics that are very practical and can obviously promote technological progress to publish papers.

Because if you do this, you are capitalizing on the enemy.

Just imagine that with the industrial base that can be ignored in the current Republic of China, if any high-tech is really produced, it will not have the ability to take root at all. Instead, it is very likely that foreigners will use it to innovate the technology, and then dump it into the domestic market to squeeze the people of the country. living space.

What's yours is mine, and what's mine is mine.

In the end, maybe it can be taken away by the devil, and the situation will be even worse. At that time, our protagonist may become a sinner through the ages.

Good technology can only be reserved for oneself,
As for the future development of the local industry, it is natural to enter the village quietly first, not to shoot.

Therefore, the conditions for the topic selection of the thesis are very clear now, that is: mathematics-based, well-known but not very practical, and it is best to be about the same as none.

That's fine.

After removing the luggage from the table, Cheng Nuo took out a piece of manuscript paper and spread it on the table, picked up a pencil and began to write and draw.

The first is class field theory, as a field in algebraic number theory. At the beginning, after the German mathematician Hilbert compiled the "Report on Number Theory" in 1898, he conjectured the relationship between the class of field and its Abelian extension. Therefore, the well-known "Hilbert class field theory" was proposed at that time, and four conjectures were proposed.

Hilbert's student Furtwängler was very talented, and he was the first to prove the first three before 1907.

It's a pity that the goddess of mathematics quickly abandoned him, and there was no further progress for 23 years, until the poor Austrian mathematician proved the fourth conjecture in 1930.

During these years, the Japanese Takagi Sadaharu published the article "On the Theory of Relative Abelian Fields" in 1920, which solved a famous problem of "Kronecker's Dream of Youth" in the theory of circle-divided fields in algebraic number theory. It proves the existence of general class fields, and directly establishes class field theory.

"It seems very tempting to be the founder of a discipline."

Cheng Nuo stopped writing, circled the three words "Class Domain Theory" on the manuscript paper, and pinched his chin to think seriously
And from another perspective, the great significance of creating a discipline is far more than simply being famous.

As the originator of modern mathematics in Japan, Sadaharu Takagi introduced algebraic number theory, which was still in its infancy, to Japan, helping the island nation to cultivate the first batch of modern mathematics talents.

Under this influence, a number of world-renowned mathematicians such as Zhongshan Zheng, Kodaira Kunihiko, Sato Mikio, etc. have emerged successively, and have successfully established algebraic number theory as the fist direction of their country's mathematics.

Then from point to surface, from surface to volume, gradually expanded from the core field to other subjects, and then came to the forefront of world mathematics.

Although I don't want to admit it, before Cheng Nuo traveled, Japan's mathematics ranking was basically on par with Maozi in the world, and even surpassed it overall, second only to the United States and France.

Looking back at our country, the beginning of algebraic number theory was counted from the introduction of Mr. Hua Luogeng in the 60s. The age gap between the two countries is as much as half a century. It is necessary to train several generations of mathematicians, so that many of them are used now. Mathematical terms are also imported from Japan.

Therefore, whether it is for the country, for the people, or for oneself, the introduction of algebraic number theory in China is of strategic significance.

It's settled, that's it.

What is called "Kronecker's Dream of Youth", it is better to change it to "Dream of Domestic Mathematics Development".

As for the Goldbach conjecture?First slowly, first slowly.

After all, it wasn't until Cheng Nuo was electrocuted that the Peruvian mathematician Harold Hoofgot solved the weak Goldbach's conjecture with the help of a computer.

The Jangoldbach conjecture is still based on Chen Jingrun's research, and the progress has been almost zero for decades.

But this is also good, I will have time in the future to write an article on progress in journals every once in a while, and it will perfectly match the conditions of topic selection.

After Cheng Nuo determined his goal, he erased the writing and drawing on the table with an eraser, and lit a match to burn it to ashes before giving up.

Although there are only some small inspirations recorded on paper, they are still a bit shocking in the present, and it is a bit risky not to erase the traces after all.

After doing all this, Cheng Nuo felt relaxed, and he didn't even need to prepare the opening report. He took a deep breath, took out a new manuscript paper, and began to write:
"Let k be the field of algebraic numbers, m be an integer factor in k, and m be the product of the form
Therefore, we can call them generalized ideal taxa. "

The inspiration came and I couldn't stop it, so I wrote this paper in one breath.

The rest is some text polishing and formatting tweaks, none of which is a problem.

Stop writing and take a look, ouch, it's already evening.

Sure enough, when you are immersed in one thing, time will pass quickly, unlike the 3 minutes before school lunch, which will pass slower than three hours.

Rubbing my belly, I'm just hungry, so let's eat first.

Cheng Nuo put away the papers, walked to the door, took back his coat from the hanger, put it on, locked the door, and prepared to go out and find a clean and hygienic meal at a small stall.

Of course, except for soybean juice.

The environment of this inn is good, but it is a pity that the room rate does not include food, and the price of ordering food alone is a bit expensive.

Now that the work has not been confirmed, open source cannot be achieved, so we have to cut down on expenditure.

It is better to spend one dollar less than one dollar on the body, or to save some money.

The snow has melted for a day, and now the street can basically see the road and walk, so there is no need to worry about surprises waiting for him.

Unexpectedly, as soon as he walked to the door, he ran into an acquaintance head-on.

"Sir, it's a coincidence, isn't it, I ran into you when I first came here."

Looking up, he saw that this was Youngest Li. Cheng Nuo hurriedly said hello, "It's a coincidence. Master, have you eaten yet? It's cold outside, hurry up and sit inside."

Li Laosan waved his hand, indicating that he was not going to go, and pointed to the bulging clothes, which was a bit cramped: "I ate it at home, didn't I tell you to send fried triangles to you this afternoon, and I will send it to you with oiled paper as soon as it comes out of the pan." Come here, a fool, don't mind."

"But it's cold outside. I'm afraid it will get cold, so I put it in your arms. Let's eat it while it's warm."

How can He De let people treat him like this.

Cheng Nuo was so moved, he took the greased paper bag and touched it, it was really hot, even felt a little hot.

Seeing that Li Laosan was leaving, he refused to let him go without saying anything.

"Lao Li, eat more and eat more, and leave when you are warmer."

Li Laosan disagreed: "Sir, I have really eaten, and I can't eat any more."

"Gentlemen, what's the matter with eating two extra bowls of rice? Besides, you're doing physical work, so it's not bad."

He directly dragged Li Laosan to the inn lobby to find a table and sit down.

"Lao Li, there is nothing to be jealous of, right?"

"Sir, there's really no need to do this. I'm full at home, so just order what you eat." Li Laosan was still making the last resistance, refusing to invite him to dinner.

But some money cannot be saved. If you treat me sincerely, I will return you sincerely.

Cheng Nuo shook his head: "Then Lao Li, I'll just pretend that you don't mind your mouth. If you don't feel happy after eating for a while, you don't regret buying the medicine."

After speaking, he imitated the locals and shouted to the staff: "Master, set up a pot!"

"Sesame sauce, pickled chive flowers, and tofu in sauce are also served on a plate."

"And your signature dish."

"Got it!"

(End of this chapter)