Vol 3 Chapter 1107: Grothendieck

Due to some reasons, a large number of users suddenly cannot open the web page to visit this site today. Please keep in mind the domain name of this site EbookFREE.me (the first letter of literature + org dot com, EbookFREE.me) to find the way home!
Wang Qi did not look at anything specifically. His spiritual consciousness spread like water, rippling in the whole garden. The spiritual consciousness second only to the Yuanshen period did not attract the attention of some other monks in the Tandan period. Only a few monks in the Yuanshen period raised their heads in doubt and felt the power of the Yuanshen period.
This is Wang Qi's understanding of what the Wanfamen have discussed and studied recently.
This is what you can't see in the thesis library. Because the documents in the thesis library are actually the things that have been completed by all the disciples. Some things that are still being brewed, and the direction that ordinary disciples are paying attention to, cannot be known through those papers.
The result ... not bad.
Not long after, Wang Qi received the magical power, and then said: "It is very similar to what I expected, not bad."
Su Junyu did not know so: "Where is it good?"
"It's not easy to say now." Wang Qi pointed to the bookshelves: "Is there any book on it?"
"Well, feel free to use it. It's just that they are more commonly used here, and the more advanced content, you have to go to Mingfa Building."
Mingfa Building is the core library building of Wanfamen.
Most of the gatherings in the Lin Garden are the senior Jin Dan and the unsophisticated Yuanshen. These monks are one of the foundations of mathematics.
Wang Qi nodded: "If you want to borrow books, are there any requirements?"
"This disciple can do it by virtue of Xian Ji." Su Junyu smiled: "Our brothers are true disciples, so there are not so many restraints, just swear not to take the book to other non-Fanfa disciples. Of course, you can retell it yourself. "
Wang Qi nodded and said, "I really need to borrow so many books, take me to see it."
The Mingfa Building is not far from Shulinyuan, and the two arrived almost instantaneously. The area here is larger than that of Linyuan, and there are many people coming and going. And unlike the disciples of Linyuan, they are already immersed in their own world. Many disciples in front of Mingfa Building borrowed books to prepare for a quiet place to think about, and most of them were still awake.
The monks of all methods met Wang Qi and greeted them with kindness without exception, and then placed them intentionally or unintentionally behind Wang Qi, as if to see what he was going to do.
Wang Qi quietly asked, "What are you going to do?"
"About to read what book you want to borrow?" Su Junyu also whispered: "Your current research can also represent the general direction of mathematics to a certain extent."
In the era of fortune-telling, the mainstream of Wan Famen is topology. In the age when the counties traveled to the other side of the starry sea and the countless masters were in the midst of the sky, the monks of Wan Famen paid more attention to logic. Now, after Wang Qi's two papers overturned the fortune-teller, Wan Famen lost a "big direction." The topology and chaos of Suanjun, the "method of breaking the game" of the Geting School, and the recursion and universality of Feng Luoyi's Turing real people are almost in full bloom.
If it were not Wang Qi who had been missing for a year, Xu would also be involved in this big discussion.
Wang Qi said a little louder: "Oh, there is no secret in this. I just want to borrow this time ... The algebraic topology of Shujun-mainly the simplex algebraic topology; Che Fairy ’s metaphysical algebra—especially group theory, homology and homotopy is the top priority ... "
He deliberately let others hear.
Su Junyu felt a bit wrong when he heard half of it: "Wait, wait, wait ... Brother, this is not the same as your previous research?"
Wang Qi was most famous for "logic" before. His skills are the basis of arithmetic, and the theory of arithmetic comes from logic. The "complete law" of his fame is logic. The "incomplete" and "undecidable" that represent his victory over his predecessors are also logical.
In this field, he is already an absolute strongman.
However, the few reports by Wang Qi have nothing to do with these research directions.
Of course, it cannot be said to be completely irrelevant. At that time, the master wanted to use set theory to encompass the whole mathematics, so some people think that these can also be represented by logic. However, this idea also went bankrupt because of Wang Qi himself.
In Su Junyu's impression, these fields that are not related to logic, Wang Qi is indeed excellent, but there is still a distance from the excellence, and there may not be the capital to do research.
Especially Wang Qi now is full of Qiu family flying, if it is a bad one, it is easy to be criticized.
He was anxious and heard the secret message: "Senior brother, it's not as good as it was now. A large group of people followed you to find food, and you then blended into the case of Lizonglianzong. Good. "
This is Su Junyu's concern. Wang Qi now represents not only a "counter", but also a pioneering technology of "repairing the two phases of the virtual and the real." If he shows a position that is too obvious, it is easy to offend a group of people.
Straightforwardly, if he is too far away from the sect, then even the people of the sect may not buy his account.
Wang Qi shook his head: "I am a disciple of Lizong, because I think Lizong is good, and Lizong's thinking is more suitable for me."
Su Junyu shook his head, knowing that he could not persuade him. He said: "Well, you tell me, what are you going to do?"
"Do a little bit of work."
"Specific?" Su Junyu frowned: "Which direction is it?"
"do not know."
Su Junyu happily said: "Why don't you know that?"
What direction does one want to study and what problems do one want to overcome?
Just like Master Chen, his lifelong wish is to conquer the Pearl. The pursuit of Ximen is summarized as "completeness", "compatibility" and "decidability". The "incomplete theorem" and "undecidable theorem" written by Wang Qi are the solutions for the latter.
The purpose is clear.
Wang Qidao: "Why do you have to face a certain problem? Why do you want to solve a big problem, make a big news and become famous all over the world? Can't you do a little basic work?"
It is you who are famous by solving big problems, okay? Your brother, I'm not famous yet!
Su Junyu said: "No direction?"
"Study the mathematics 'itself' and give it a try."
Wang Qi smiled without elaborating.
He didn't know what to say.
There are many achievements, the most important is an "inspiration". After knowing this "inspiration", future generations can easily solve that difficult problem-Gödel's incompleteness theorem is a model. Once the core thing is broken, the reason is very simple.
However, some people's work cannot be simply described as "inspiration".
For example Grothendieck.
The mathematicians of the earth all aim at "topics". Whether it is Henry Poincaré or David Hilbert, or Kurt Gödel and von Neumann, none can be vulgar. There is even John Nash, who specializes in chasing "difficult problems" and is even compared to "a man like an Olympic athlete".
But Grothendieck is a different kind. He is not interested in any "problems". Whether it is the twenty-three questions of his time that are still in the sky, or the Fermat's theorem that has been circulating for a hundred years, etc., or the "millennial question" in his later years, he disdains. He was interested in mathematics itself—or the larger, broader structures behind those problems.
He has been walking on his own road at his own pace throughout his life. If any problems were encountered halfway, he solved it, and then continued walking as if nothing had happened-like crossing a slightly larger stone. Each of his ideas emphasizes "universality".
I don't specifically attack any problems, I don't care much about the achievements of others, and insist on rebuilding my own world with my own thinking.
This is Grothendieck.
Of course, this way of thinking is better than other mathematicians' way of thinking, which is actually difficult to evaluate. But there is no doubt that this kind of mavericks has made the mathematics brilliant in the second half of the 20th century.
Of course, it is precisely because this method is too independent, so no one can adapt to this pace. This is why Grothendieck eventually left the Bulbaki school.
This person needs the entire mathematics community to adapt to himself.
Wang Qi now wants to try "string theory", he must first figure out the mathematical basis of string theory-that is, the achievements of the Bulbaki school and Grothendieck.
However, Wang Qi ’s last life lacked interest in string theory [mainly because no one had the courage to face the string landscape with more possibilities than the atomic number of the universe], and he did not even know the mathematical basis of string theory. Grothendieck is a self-willed and maverick person, and the average person cannot achieve the result of "plagiarism".
And ... "Einstein has much meaning in physics, Grothendieck has much meaning in mathematics." No matter how confident Wang Qi is, he is not sure that he can reproduce that road 100%.
All he can do is to cultivate other ways of thinking, and walk the path that others have walked.
One can imagine that this is not a simple matter. Wang Qi himself has no confidence to do well.
"This seems to be different from what was said." Su Junyu is sighing, and Wang Qi has borrowed several books. He looked back and found that after other people listened to his statement, there was a lot of discussion, apparently also guessing what medicine Wang Qi was going to sell.
Wang Qi smiled and said, "You fellows have not been in the door for the next few years, but you are alienated from your fellows. I have something to do in Qianji Pavilion in the past few days. When I come back, I will look at these areas If you are interested, you may wish to visit Hanshe for a little discussion. "
Immediately thereafter, he whispered again: "And help me spread."
Su Junyu was shocked: "What are you going to do?"
-It's just pulling people into the pit.
The Bulbaki school was originally supported by many people. Even Grothendieck's fierce man needs some like-minded people to solve the minutiae for him.
If you like to walk into Xiuxian, please collect it: (EbookFREE.me) Entering Xiuxian's pen has the fastest literature update.