"Did you say yes?" Gu Mengxue put down the chopsticks in her hand, stared at Junxin who was feasting, and asked.

"Well, the holiday is coming, and Professor Hu didn't give me an accurate answer that I could stay in school, so I didn't think too much about it, so I agreed."

"And when are you leaving?"

"Professor Wang left me a mailing address, I want to wait for the exam to be over, I still have a few things to deal with in the past few days."

"It looks like I won't be able to see you for a while, remember to write to me!"

"That's fine, but I don't know how it's arranged over there, so I'll write to you when I'm settled there!" Junxin nodded and responded, "It's just a little more than a month, and school will start again soon!" ”

After finishing her meal in a hurry, Gu Mengxue left in a hurry. Not all of them are like Junxin, and even if they don't take any exams, they can get the highest score in the subject. Even as the top master of the Academy of Liberal Arts, Gu Mengxue still can't be as free as Junxin.

But if you want to say how laid-back Junxin really is, that's not necessarily it. At least now Junxin is completely free, especially when he sees the two envelopes in front of his desk, his face shows a trace of distress.

The arrival of these two letters, either of which may have a certain impact on Junxin's future life, let alone the arrival of two letters together?

The first letter came from the United States, from Professor Chern Shiingshen, a master of differential geometry who was preparing to return to China to teach.

Professor Chen is a master of differential geometry, and it is because of him that the center of differential geometry in the world has shifted from Europe to the United States, which shows his position in the field of differential geometry.

Junxin:

Hello!

In September, Mr. Hua visited Princeton University. Although I had just retired from the University of California, I had a meeting with Mr. Hua and was very happy to hear from him. In the chat, Mr. Hua mentioned your name many times, and asked you in detail out of curiosity, and he felt that he wanted to meet the rising stars in China.

Although I don't have a deep understanding of the content of number theory, I have also learned about the Mordell conjecture proposed by Professor Modelle, a generation of mathematicians, when I was studying in Europe, so I know how difficult it is. It is a great honor for you to prove this conjecture.

During my stay at Princeton University, both Professor Faltings and Professor Rie-Beckett praised your Modal conjecture as the most crucial step in the study of Fermat's theorem in the twentieth century.

Since then, I have been running to set up MSRI, so I know a lot about all kinds of news. I saw your article again in Advances in Mathematics, and your three-dimensional structural extrapolation of Penrose's two-dimensional results seems to me to be a very subtle method, and it is said that you have sent your paper to the British journal Nature, and I hope to read your article as soon as possible.

The day before yesterday, I received an invitation to review a manuscript from the editorial board of the Annals of Mathematics, and I think they must have mistaken the invitation, so they handed over the work in an unfamiliar field to me. Although they corrected this error, they also gave me the privilege of reading your article on further research on Fermat's theorem.

My colleague praised the conjecture presented in this article and gave you a very high opinion of the proof of the conjecture you gave. This is considered to be another major challenge to the limits of human thinking. Although Professor Rie-Beckett still thinks that the proof of Fermat's theorem is far away, I am convinced of your talent, and perhaps in my lifetime I will be able to see the final proof of this difficult problem that has puzzled us for more than 300 years.

Of course, because of your achievements in Fermat's theorem, my colleagues at the University of California want you to come here to study and work. Since you're still a student, they came up with the idea of an exchange student. This is the main reason why yo wrote this letter. For this reason, the University of California has given you the highest level of scholarship and additional research funding, and you will get the most complete research help at the University of California without having to worry about anything in life.

It's up to you, don't worry about what I think. I don't have any advice on that. But I'd love to talk to a math genius like you, and hopefully it will happen.

Chern Shiingshen

December 20, 1980

The letter sent by Chen Lao has been read many times. Of course, he didn't care about Chen Lao's praise of himself, but he saw that his articles had begun to slowly exude influence in the Western academic circles, which was what Junxin was concerned about.

The second letter comes from the algebraic geometry emperor of France, Alexandre-Grotendick known as Pope. Regardless of the content of this letter, the meaning of this name alone has already made Junxin pay no more attention.

Since the existence of mathematics, a large number of mathematicians have emerged in modern mathematics to study mathematical problems, but there are very few who can be recognized by the world and called the level of a generation of grandmasters. After Newton and Leibniz, from Euler to Gauss, then from Riemann to Poincaré, after Poincaré was Hilbert, and after Hilbert was Grotendieck. From this series of names, it is possible to see the mathematical status of Grotendieck. He was a figure on a par with Euler, Gauss, and Hilbert.

The real god of algebraic geometry, open any modern algebraic geometry textbook or monograph, you will frequently see terms such as grt-tplgy, -lgy, grt-ring and other terms, his theory feeds nearly half of the mathematicians in the world today, this is the evaluation of Alexander Grothendieck.

In the fifties and sixties, Grothendieck revolutionized algebraic geometry. He has published more than a dozen huge books and established a grand and complete set of "general theories". His work is the pinnacle of algebraic geometry. His writings have been hailed as the "Grothendieck Bible". This is where his theories come into play. On the basis of generalization theory, mathematicians have achieved one eye-popping achievement after another: he gave the first algebraic proof of the famous Riemann-Loch theorem.

It resulted in the following events:

In 1973, Deligne proved the Weiyi conjecture (won the 1978 Fields Medal);

In 1983, G. Alting proved the Modell conjecture (won the 1986 Fields Medal);

In 1995, Wiles proved the Taniyama-Shimura conjecture and solved Fermat's theorem, which was more than 350 years old (won the 1996 Fields Special Prize).

These achievements represent the highest level of contemporary mathematics and are enough to shine through the ages. Algebraic geometry in the 20th century has produced many geniuses and Fields Medals, but there is only one God, and that is Grothendieck.

However, Grotendieck had already left the world of mathematics in the 70s. Since then, he has lived an isolated hermit life, but even so, he is still a god-like figure in the minds of many mathematicians, and Junxin is naturally no exception, so he opened his letter from Grotendieck with a pilgrimage-like mentality.