Chapter 44 Winter vacation is coming, will spring be far away?
Grotendieck's letter was written in English, and he didn't ask anyone else for help. If it was written in French, Junxin would inevitably have to trouble Professor Hu, a French-speaking person who had studied in France.
Grotendieck's letter was not long, only one page. However, Junxin carefully read every word in the letter clearly, lest he mistake any of the words.
In the letter, Grotendick begins by praising his achievements in the Modell conjecture and giving a brief evaluation of the proof of the Modell conjecture. Although his tone was flat, Junxin didn't care. It's like when an ordinary mathematician stands in front of epoch-making mathematicians such as Euler and Gauss, no matter how great your achievements are, the other party is qualified to evaluate. What's more, in Modul's conjecture, Junxin used some of the concepts and methods proposed by Grotendick many times, and he was even more respectful to Grotendieck.
The focus is on the middle part of the letter, with Grotendieck's status, there is no need, and there is no need to express any admiration to himself, a young guy who has just debuted, and Grotendieck simply puts forward some of his own opinions on some conclusions and processes in the Modle conjecture. Then he never mentioned mathematical matters, but told Junxin about his political ideas and ideas. Junxin naturally understands this very well.
Grotendick was a thorough anarchist and pacifist. He often campaigned his way to those who came to him for math problems. In the sixties, he was hired as a professor at the Institut des Hautes Études Scientifiques, but when he found out that the institute was funded by NATO (North Atlantic Treaty Organization), he quit his job and went back to farming.
The last part of the letter mentions that when he was a visiting student to exchange the latest progress in the field of mathematics, he heard the name Junxin, and learned that Junxin keenly discovered Junxin's feelings about the development of mathematics in the next series of articles, so he wrote to him to ask about related matters.
At the end of the letter, he asks Jun Xin a question: What does mathematics really mean to mankind?
When Junxin put down the letter in his hand, a long time had passed. In this cold winter, Junxin silently savored the problems given to him by the visionary from the void, the only god of geometric algebra. Although the north wind was cold outside the window, Junxin who was standing on the balcony and looking outside didn't notice it.
In a sense, although the research that Junxin is doing now focuses on number theory or analytic number theory, the methods used in it are all about the results of algebraic geometry. As a result, Grotendieck's influence on his work was enormous.
Grotendieck's most influential one-hour speech at the 1958 World Congress of Mathematicians and the creation of IHES in the same year took Grotendieck ten years to make IHES the world's research center for geometric algebra. The seminar he founded, with his own textbooks, quickly became an influential school that radiates the world.
Despite being worshipped as the god of algebraic geometry, Grothendieck worked like a religious slave of mathematics in the 60s. Discussing problems with colleagues, mentoring students, interacting with other experts, and writing EGA, Grothendieck spent 12 hours a day, seven days a week studying the fundamentals of algebraic geometry for an entire decade, with little to no hobby outside of mathematics. This asceticism and naïve zeal for life is reminiscent of John Nash, another great mathematician of his time, but Nash liked to challenge the most important and difficult problems of his peers, while Grothendieck preferred construction theory, and he "had a lofty view of what mathematics might be". University of Michigan professor Bass once commented that Grothendieck changed the whole picture of mathematics with a "cosmic universal" view.
In a sense, the greatest goal that Junxin has insisted on since its rebirth is to become like Grotendieck, to create a universal mathematical paradigm that can have a significant impact on the mathematical community, and even to create a school, just like the historical Göttingen School or the Bourbaki School.
Why is Grotendieck sought after by many mathematicians? The reason is simple, the mathematical system and way of thinking he established have influenced an entire era, and even the work of many mathematicians who have won the Fields Medal has been influenced by him.
Junxin tried to do the same thing as Grotendick, the Pope, so he tried to build his own foundation. The Institute of Mathematics at Mizuki University was where he started.
The reason why he agreed to Professor Wang to teach Hua Luogeng's class on vacation was also because he wanted more support. Even the genius of Grotendick has come all the way to the present with the support of many academic predecessors.
But Junxin is different from Grotendieck, he does not have the genius of Grotendieck, but he has advanced thinking and knowledge that is decades ahead of Grotendieck, so his future will be incomparably broad.
Returning the topic to the question of Grotendieck, Junxin had his own opinion. What does mathematics mean to humans? Mathematics means survival, it means civilization.
If you want to build a school, you must have your own thoughts, and historically, there have been many such schools. Since the beginning of modern times, the most famous of them is the Göttingen School, and the other schools are not as large as the Göttingen School, either in terms of number or scope of study. It was not until the Second World War that it was disbanded due to the force majeure of the war. However, despite the dissolution, the lack of Ren Ran has a strong foundation and heritage. This is because of the philosophy of the Göttingen School.
The things that Junxin has now are enough for him to be ahead of this era and reach a height with the help of these things. However, it is basically impossible to become such people as Einstein, as Newton, as Grotendick, as Hilbert, as Gauss, as Euler, etc. But now that he has come to this era, Junxin does not allow himself to just play soy sauce and watch the turbulent life outside. Rather, it is about using the knowledge you have to become an encyclopedic figure like Poincaré. And academically reached the heights of Einstein, Newton and others.
In order to achieve this goal in today's China, which has seriously lagged behind the West in scientific research, the hardships and difficulties during the period are obvious. But Junxin is ready. The letters from Grotendick and Chern, merely hastened this step.
Looking at the wind and clouds outside, the corners of Junxin's mouth gradually raised, and he whispered: "The winter vacation is coming, will spring be far away?" ”