Both the environment and the people at the scene were unfamiliar. When Zhao Xiancai stood at the door in a daze, a young man walked towards him quickly.

"Here you go? How was your rest last night? Have you adjusted to the jet lag?"

The person who walked quickly towards Zhao Xiancai and spoke to him was none other than Zhang Ruixiang, a senior fellow from Beijing who was studying for a PhD at Princeton University and picked up Zhao Xiancai at the airport yesterday.

"I slept well, I'm fine now." Zhao Xiancai said.

"Is this Zhao Xiancai? He is really young."

As soon as Zhao Xian finished speaking, another voice came from behind Zhang Ruixiang.

"Mentor, yes, he is my junior student at Beijing University, Zhao Xiancai. This is my mentor, Professor Sanak."

Zhang Ruixiang turned around, saw the person behind him and shouted, and gave a brief introduction to Zhao Xiancai, but there was no surprised expression on his face. After all, he came here with his instructor, and it was normal to see the instructor.

"Hello, Professor Sarnaik, I am honored to attend this mathematics seminar at Princeton University."

After learning that the man who had walked from behind Zhang Ruixiang to his side was Zhang Ruixiang's mentor and one of the editors on the editorial board of "Annals of Mathematics" Peter Sarnaik, Zhao Xiancai also said to him politely.

"It is also an honor for our school to invite you to our Princeton University to give a lecture. I also read the paper you submitted to our "Annals of Mathematics" that proved Erdös's arithmetic sequence conjecture.

I have to say that you are really talented in mathematics and have great ideas.

By the way, when I was talking to Professor Deligne just now, he also talked about you.

Let’s go meet Professor Deligne together.”

Peter Sanak smiled and said to Zhao Xiancai.

And Zhao Xiancai, after he finished speaking, followed him to Professor Deligne.

"This is Professor Deligne. Professor, this is Zhao Xiancai who proved Erdös's arithmetic sequence conjecture."

When Zhao Xiancai walked up to an old man with Peter Sarnaik, it was the first time that Zhao Xiancai met this top scholar in the field of mathematics with whom he had already had in-depth exchanges via email in the real world.

Professor Deligne is the same as what Zhao Xiancai has seen in photos before. He has the same smart hairstyle as many mathematicians. Perhaps because of his age, his face also looks very kind.

At this time, Deligne was chatting with a man who also had gray hair.

When Peter Sanak walked up to him, he turned his attention to Sanak and Zhao Xiancai.

"Hello, you are so young!

Although I have always known that you are young, this is the first time I see you in real life instead of knowing you through words, and I am still surprised by your youth."

After seeing Zhao Xiancai, Deligne expressed the same exclamation as Peter Sanak did when he saw Zhao Xiancai just now.

After being amazed, Viscount Deligne introduced to Zhao Xiancai the person next to him who had just been chatting with him.

"This is Benedict Gross, professor emeritus of mathematics at Harvard University and the University of California, San Diego."

Deligne introduced Zhao Xiancai to them. Since Sarnaik had already introduced Zhao Xiancai to them just now, he did not tell Gross about Zhao Xiancai.

After all, Gross was one of the many people present who came to this year's mathematics seminar at Princeton University because of Zhao Xiancai. Naturally, Deligne did not need to introduce him too much about Zhao Xiancai.

"So you are Professor Gross?

Hello, you are the first person to use p-adic numbers to find the numerical building blocks required by Hilbert's 23 questions in question 12. Some of your research has been of great help to me and many subsequent scholars.

."

After listening to Professor Deligne's introduction, Zhao Xiancai was also surprised, because he never expected to meet Gross here.

The report he gave was about the Erdós-Zhao arithmetic sequence theorem.

Professor Gross's research is mainly on automorphic forms and other fields that are irrelevant to the proof of Erdös's arithmetic sequence conjecture. If we really want to talk about the connection, that is Professor Gross's research on the large field of number theory.

There are also some studies.

"Are you talking about my p-adic number theory about Abelian expansion? Why, you have also done research on extending the Kronecker-Weber theorem, which is only applicable to Abelian expansion in the rational number field, to any algebraic number field?"

After hearing what Zhao Xiancai said, Gross also asked with great interest.

Deligne and Peter Sarnaik on the side also looked at Zhao Xiancai curiously, because they also had some understanding of Zhao Xiancai, a new mathematical genius.

Although Zhao Xiancai's previous experience is not unremarkable, at least he won a gold medal with full marks in the IMO competition, but so far, he has only published two papers in total, one is "Singular Integral Differential Equations in Li

"Solubility in the Mann-Hilbert Problem", although for Zhao Xiancai, who was still an undergraduate at the time, it was already remarkable to be able to publish such a paper alone.

But that’s all. A paper like this can be published by a slightly better doctoral student.

What's more, Zhao Xiancai's second paper was about the proof of Erdös's arithmetic sequence conjecture. His first paper became even more insignificant under the light of this second paper.

However, regardless of the influence of these two papers, judging from the research directions of these two papers, they cannot see how this is related to the direction of extending the Kronecker-Weber theorem to any algebraic number field.

related.

"Yes, I am currently conducting research in this area. I have been very inspired recently. I believe there will be some results soon." Zhao Xiancai nodded.

"The students of one of my students have been researching in this area for some years, and I heard that they will have some results soon.

It seems like you have to work harder, otherwise you will be overtaken."

After hearing Zhao Xiancai say that he was conducting research on Abelian expansion, Gross was surprised and said to Zhao Xiancai with a smile.

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"Professor Gross, are you talking about Samit Dasgupta from Duke University? I have read all the papers he published before, and they indeed had a great influence on me.

Especially in 2009, he collaborated with Henry Darmon of McGill University and Robert Pock of Boston University to publish an article titled "Hilbert" in the Annals of Mathematics.

I learned a lot from the article "Special Model Forms and Gross-Stark Conjecture".

In that article, they provided a partial proof of the Gross-Stark conjecture..."

Zhao Xiancai began to talk about the impact that some of the literature he had read previously had on him.

After listening to what Zhao Xiancai said, the three professors in front of them were convinced that Zhao Xian was definitely not new to this field, and he did have a deep understanding of this aspect.

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