"Please come in!" There was a gentle greeting from inside the door.

Caston pushed open the door with Junxin, and what instantly appeared in front of Junxin was a traditional medieval office and reception room.

"Oh, it's Mr. Caston, hello, it's been a long time, and you're still so spirited. The one next to him is..."Professor Jean-Pierre Serre did not look old at all, and although he was in his fifties, he did not seem to have changed much except that his hair had turned a little gray.

"Hello, Professor Searle, this is Mr. Junxin of Princeton University, the one who proved Modell's conjecture, and he said he had come to visit you." Caston explains.

"I'm Junxin from Shuimu University in China, professor, and it's a pleasure to meet you." Junxin took the initiative to stretch out his hand.

Jean-Pierre Serre also reacted at this time, and immediately walked in front of Junxin, shook Junxin's hand and said, "Hello, hello! Welcome to the École Normale Supérieure de Paris. ”

"It's an honor to visit the École Normale Supérieure in Paris, but the main purpose of this trip is to ask you some questions about algebraic geometry." Jun Xin bowed and said.

"With the mathematical skills you have shown in solving the problem of the Modell conjecture, it shows that you also have a deep research foundation in algebraic geometry, and we just discuss with each other." Professor Searle waved his hand and said, "And the fact that you have such achievements at such a young age proves that your talent is indeed very high." ”

"Okay, I don't think we need to be so polite, Jun published a study on the problem of twin prime conjecture in Acta Mathematica Sinica, and he solved the problem of estimation method in twin prime conjecture, but there are some questions I want to ask you." Professor Caston casually found a place to sit down, and asked eagerly.

"Say it!" Junxin and Professor Searle also sat on the sofa next to the fireplace, and Junxin spoke.

"I'm a little puzzled by the method you used about the ...... in twin primes, can you explain it?" Caston didn't care that this was Professor Jean-Pierre Serre's office, and couldn't wait to start asking.

"That's what I think about this question, if you use a p......, then converge on its progression, and then ......," Junxin explained, writing and drawing on the small whiteboard next to the fireplace. And Professor Searle on the side made additions from time to time. Although this is not an area that he is familiar with, it can also be used as some mathematical methods and thinking for him.

"How do you guarantee that the series is convergent, and if it is divergent, the proof is wrong, but how can you guarantee it?"

"I was able to converge in the end through ......," Junxin continued. He found that some of Caston's questions were also enlightening to his research, and many of them were things that he had not thought about carefully.

After solving Mr. Castton's problem, Junxin began to communicate with Professor Searle. The two took turns writing down their recent research on a small whiteboard, exchanging research results with each other and asking some questions encountered in their recent research.

Jean-Pierre Serre was surprised to find that although the person in front of him looked very young, his knowledge and thinking were very rigorous, and even his mathematical intuition was very accurate. Often, after he raised some problems he encountered, although Junxin could not solve them on the spot, he relied on his knowledge and mathematical intuition to point out possible research directions or methods, and he was often greatly inspired after listening. At this moment, he completely regarded Junxin as an equal to himself as a person of the same level, and no longer regarded him as just a highly talented teenager.

Work on Algebraic Geometry and the Wey Conjecture In the 1950s-60s, Searle collaborated with Grothendieck, who was two years younger than him, to lead to the foundational work of algebraic geometry, motivated by the Wey Conjecture. Searle's two foundational papers in algebraic geometry are the Algebraic Condensation Layer (FAC) and Algebraic Geometry and Analytic Geometry (GAGA).

The main problem that Junxin consulted Professor Searle was the problem of the algebraic cohesive layer, and Searle had tried to take the value as the upper cohomology of the Werther vector in his early days, and this idea was later absorbed by the crystal cohomology. This is also the question Junxin wants to ask, after all, he is going to participate in the International Federation of Crystallography, and it is always good to make more preparations.

This is obviously Professor Searle's forte, so he was very happy to explain to Junxin the methods and ideas he used to harmonize with Werther vectors, which was very eye-opening for Junxin.

"Professor Searle, did you work with Mr. Grothendieck?" After chatting about academics, Junxin asked curiously.

Professor Searle was stunned for a moment, and then replied rather embarrassed: "Yes, when I started the research on algebraic geometry problems with him, he was indeed the most passionate and creative collaborator I have ever met. After a pause, he took a deep look at Jun Xindao, "In this exchange, I found that you are actually very similar to him, both of them are equally talented, and they are equally talented. But in my opinion, you are stronger than his contemporaries. How could you mention him, though? The last sentence is obviously curious about Junxin's question.

"Hehe, some time ago, when I was completing the conjecture proof of the connection between the Taniyama-Shimura conjecture and Fermat's theorem, I received a letter from Mr. Grothendieck, so I remembered that you had worked with him, and I just wanted to ask."

"Oh? Ever since he left IHES, he has been in contact with him once or twice a year, and now he doesn't know where he lives his seclusion. His Holiness the Pope has abandoned his people! ”

"What kind of man is he?" Junxin asked curiously. The only contact he had with the pope of algebraic geometry was when Grothendieck wrote him a letter recommending his ideas. But his knowledge of Grothendieck was limited to books.

"Talented, energetic, extreme pacifist. A guy in a contradiction. Jean-Pierre Serre uttered these words in a series of words in a tone of remembrance.

"Seriously, I can't tell you what kind of person he is, but when you see him one day, you'll know..."