Grothendieck continued: "Many people see me and want to talk to me about mathematics. In fact, since 1970, I have been willing to talk to everyone about peace, environmental protection, disarmament or Buddhism. However, it is very realistic that just as everyone is more willing to listen to the spoiled and artificial behavior of a 20-year-old woman, and not like to listen to the life advice of a 60-year-old woman, obviously, people don't want to listen to my complaints and complaints. Well, since I have come to where Mr. Johnson worked, I will follow the local customs and talk about some of my studies on mathematics."

The audience finally breathed a sigh of relief. They were really afraid that Grothendiek would be willful, and they said something about environmental protection and disarmament, which made them travel all the way over and ended up having a happy ending.

Grothendieck said: "When I was a child, I liked going to school because I never felt bored when I was in school. There were magic of numbers, magic of words, magic of symbols and magic of sounds, and magic of rhymes in songs and poems. I always felt that rhymes seemed to contain an indescribable mystery. Until one day, someone explained to me that there was a very simple trick to rhyme, which was to let two sentences say one after another ended with the same syllable, so that it turned into poetry like a magic. This simply revealed a huge secret! I began to keen on writing poetry and entertain myself. For a while, even every word I said was rhyme. Even now, I occasionally do poetry."

OK, Ge Huang, we know you are versatile, but you should talk about mathematics!

Grothendiek seemed to feel the complaints from everyone: "It turns out that I don't have the extraordinary talent of Mr. Johnson, and can achieve outstanding results in multiple fields at the same time. So after a few months, my obsession with rhyme faded. During my school days, I was a good student, but not the best student. I would devote myself to things that I was interested in, and ignore things that I was not very interested in, and I didn't care much about the teacher's opinions. Once my interest faded, I would put them aside. For example, in middle school, I really liked to play crossword games. I used to make crossword puzzles all day and week, combining the magic of shapes with the magic of words, nesting them layer by layer, stumping all the answerers. Later, when I got tired of playing, I threw them aside without leaving any trace."

Meilin sighed: "Entertainment of what he is interested in is perhaps this is the reason why Emperor Ge can succeed!"

Jiang Shuiyuan was full of malicious speculation: Could it be that he later gave up studying mathematics and lived in seclusion in the Pyrenees because of his decline in interest? The old man was really willful!

Grothendieck finally took back the topic: "I was fascinated by mathematics since I was in elementary school. I was the happiest time to do math problems every day, whether in a narrow loft or a noisy classroom. Soon the things in the textbooks could not satisfy me, because in my opinion, the questions were almost the same, nothing more than a change of appearance, and the contents in the textbooks lacked the necessary logic, which felt a bit like Revelation, which did not talk about where they came from or where they were going, as if they fell from the sky. Compared to learning

I prefer to explore the real problems of these rigid contents. For example, according to Helen's formula, when the length of the three sides of a triangle is known, the area of ​​the triangle is determined; at that time, I considered how much volume is for a tetrahedron with six ridge lengths? Is there a similar formula? Then I spent a lot of time and finally figured out the problem. This is how I am. When something entangles me, no matter how many hours or days it takes, I will think about it persistently, and even forget everything else."

Mei Lin, Jiang Shuiyuan and others have already given their knees: they are worthy of being Ge Huang, and their brain circuits that consider problems are different from those of us ordinary people!

Grothendieck continued to criticize secondary education: "I think the secondary mathematics education we receive is a complete violation of mathematics itself, including now. What impressed me deeply was a math test, which required one of the several situations in which the question required a triangle congruence. The teacher gave me a very low score, not because I answered wrongly, but because the proof I gave was different from the answer in the book. The teacher corrected the paper based on the answer, and the result was like this. But I was sure that there was no problem with my proof.

It is equally convincing as the standard answer, but the teacher obviously does not believe in his rational judgment. He must refer to an authority and a standard to make his own judgment. He believes in authority more than trusting himself. I originally thought that this kind of thing was absurd and should be an example. When I entered university and started studying mathematics, I realized that this was actually a very common norm. Everyone is more willing to believe in authority than to make his own rational judgment. Perhaps this is the reason for the backward development of mathematics, right?"

Meilin, Jiang Shuiyuan and others kneeled more standard: great gods, they can overthrow authority and start a new job. There are not many people in the world who study mathematics, okay? We all know that when you were 17 years old at the University of Montpellier, you spent most of your time making up for the shortcomings of high school textbooks, trying to redefine length, area and volume, and rediscover the concepts of measurement theory and LeBerg points, but please don’t use your standards to demand us mortals!

Please give us mortals a way out!

Immediately afterwards, Grothendieck began to complain about the University of Montpellier, which he had attended. This first-class European university, founded in 1289, one of the world's oldest universities, became "teachers read according to their scripts", "students can hardly learn anything", and "almost the worst university in mathematics in France."

Well, Germain, do you know that the University of Montpellier has always listed you as an outstanding alumni in its introduction? Do you think your alma mater will be able to prosper if you say that?

Immediately afterwards, he began to criticize the Paris Higher Normal University.

In 1948, the twenty-year-old Grothendieck came to the research class of the Higher Normal University of Paris from the University of Montpellier to further his studies, and came into contact with real mathematical elites, and began to realize his shallowness and ignorance. However, this young man who speaks German and has a poor academic qualification is not popular in the Parisian academic community, especially his social skills are simply a disaster, and he is soon excluded from the circle.

——Perhaps this is one of the reasons why Ge Huang is dissatisfied.

After he finished complaining about the Paris Normal University, everyone was excited: the drama was finally here! Elementary school, Severn Middle School, the University of Montpellier, and the research class of the Paris Normal University was just a prelude to the mathematical hall. It really started when he came to the mathematical holy land of Nancy in the field of functional analysis in the Buddhist Kingdom in 1949. At Nancy, he worked in functional analysis with Dieudonne of the Bourbac School and others, and published 6 papers at the age of 21. Each paper was very important, making him quickly become the authoritative of topological vector space theory at that time.

This is also the starting point of the God of Gehuang.

Who knew that Grothendiek was not going to go the ordinary path, and the topic changed: "The reason why I talk about these today is that I think that our mathematics education has gone astray and is getting further and further along the way. Whether it is using mathematics as a means of selection, competitive or a means of making a living, this purpose of studying mathematics with entertainment, utilitarian or competitive has seriously hindered human understanding of the beauty of mathematics. This phenomenon must be reflected on and corrected. Well, my speech ends here, thank you everyone!"

Alas, hey, we all had pants, it was wrong, we took out all our laptops, but you ended up talking to us?

Is there any law of nature?

Is there any other kingly law?
Chapter completed!