Perhaps it was because the big bed in the room was so comfortable that Xu Yunyuan did not suffer from insomnia on his first night overseas. It was just that the food provided by the hotel in the morning was not to his taste.
Hofer still came on time, and after picking up Xu Yun, he drove directly to Princeton University.
According to the previously determined process, the most important part of this exchange is the open class.
Students and professors from Princeton University will come to listen to the lecture and ask questions for discussion.
After all, Xu Yun had held academic seminars and held open classes in the Department of Mathematics at Peking University, so there was nothing to worry about on the way.
On the contrary, because I was about to see Professor Deligne, I felt a little excited and excited.
Among the most authoritative people in mathematics, Deligne, as the winner of the Fields Medal, Wolf Prize in Mathematics and the Abel Prize, can definitely be regarded as one of them.
Being able to communicate and discuss with such people will also be of great help to your own research.
Hodge speculated that although the other party had a video connection last time, they didn't actually talk a few words.
Now that I finally have the opportunity to meet, I must take advantage of it.
The buildings of Princeton University are relatively old, and entering the interior feels like you are in an ancient castle that only existed in fairy tales.
Blue sky and white clouds.
Full of rich historical atmosphere.
Under the leadership of Hofer, Xu Yun soon entered a building that looked like a castle and successfully met Professor Deligne and Professor Witten, who also won the Fields Medal.
"We meet again. I have been waiting for this day for a long time."
Deligne, who looked like a kind little old man, saw Xu Yun and immediately stepped forward to give him a courtesy hug.
After letting go of Xu Yun, he immediately introduced the people next to him.
"Let me introduce to you, this is Professor Witten from our Institute for Advanced Study in Princeton."
"And Professor Veitch of the Department of Mathematics."
Faced with Deligne's enthusiasm, Xu Yun greeted Witten and Vicky, who were also aged next to him.
He stretched out his hands and shook them lightly.
At this time, Hofer saw that his mission was successfully completed, so he did not intend to stay and disturb him too much.
"Then let's have a good communication. I have to go back to the editorial department as soon as possible." After saying this with a smile, Hofer turned his attention to Xu Yun the next second and said, "I'm looking forward to you very much." I hope to see the new paper in my mailbox soon, regardless of whether the content of this paper is a demonstration of topological group theory."
"I will, Mr. Hofer." Xu Yun nodded and replied.
The conversation between the two also allowed Deligne and Witten to capture information, and a little curiosity suddenly appeared in their eyes.
I want to know what direction Xu Yun’s new paper will take.
After all, Xu Yun's paper published in the Annual Journal of Mathematics, regardless of which one, caused a great sensation in the mathematics community.
But since Xu Yun didn't explain it clearly, they didn't take the initiative to ask.
After several people sat down again and Witten made a few cups of hand-ground coffee, they continued to talk.
"I was surprised when I saw your paper proving that there are infinite prime numbers in the Fibonacci sequence. I really didn't expect that in addition to algebra, geometry, and logarithm, you also had such in-depth research on number theory."
“Especially the topological group theory proposed in the paper is really eye-catching.”
Deligne, who was holding the coffee, was the first to open the topic, with a hint of surprise in his eyes when he said this.
His area of expertise is algebraic geometry, and his teacher is called the Emperor of Algebra.
Under normal circumstances, algebra alone is extremely profound, and many people need to spend a lot of time exploring it.
You may even die without being able to master them all.
And solving the Hodge conjecture is an unimaginable workload.
After all, in addition to algebraic geometry, Hodge's conjecture also includes topology and mathematical analysis.
In his opinion, Xu Yun's ability to prove Hodge's conjecture must be due to the fact that he invested a lot of time in research.
In this case, even if it is a serious partiality, he thinks it is normal.
But Xu Yun once again created a miracle.
unexpectedly emerged in the field of number theory.
He has studied mathematics for decades and has seen many mathematical geniuses, but none of them can reach Xu Yun's level.
It was under this situation that he strongly invited Xu Yun to come over.
"I also accidentally became interested in number theory, and then I tried to study it in depth."
"Unexpectedly, I made some new discoveries."
Facing the senior figures in the mathematics world, Xu Yun spoke modestly and answered Deligne's question.
"It's a good thing that a genius like you can appear in the world of mathematics!" Witten couldn't help but echoed at this time.
But just when the three of them were communicating harmoniously, the stranger Vicky suddenly spoke up.
"I am very interested in your topological group theory. Can I ask to what extent you have proved it so far?"
"Professor Veitch studies the field of number theory." Witten helped explain.
Xu Yun heard the other party mention topological group theory and thought that he had already proved Goldbach's conjecture, so there was no need to hide anything on this matter.
Even if you speak up, answer truthfully.
"I have completed the proof regarding topological group theory."
"Proof complete?"
"This is impossible."
Vicky, who was still waiting for the result with a calm expression, suddenly became pale after hearing this answer.
His whole face was filled with doubt.
He has studied topological group theory in depth, but although it was proposed by Xu Yun, he has never been able to prove it.
Therefore, he believed that topological group theory could not be established.
It is even less likely to be used to prove famous problems in number theory.
But now Xu Yun told him that topological group theory had been proven, which was almost equivalent to destroying his worldview.
Some of Deligne and Witten were deeply surprised, once again shocked by Xu Yun's talent.
"It's simply unimaginable. I'm afraid the strongest genius in history can only reach this level."
"It seems that you are more talented in number theory than algebra."
As a result, before he could even finish his words, he was interrupted by Vicky who was a bit gloomy next to him.
"I have asked many scholars for advice on your topological group theory, and we all agree that it cannot be established."
"There's absolutely no way it can be proven."
Xu Yun was helpless when he was suddenly questioned. He really didn't know what to say.
If you tell the other party that you not only proved topological group theory, but also solved Goldbach's conjecture using topological group theory, I don't know how the other party will feel.
But after all, you are a guest on someone else's territory, so it is definitely not easy to tear your face apart.
Therefore, Xu Yun still answered calmly.
"Professor Veitch."
"I did complete the proof of topological group theory not long ago."
"I will intercept the explanation of this open class. If Professor Vicky has any questions, you can come and listen."
"Everyone communicates with each other."
Upon hearing that Xu Yun was going to talk about topological group theory, Deligne immediately became interested and quickly answered.
"You are going to teach topological group theory in an open class, and I will go and listen to it then."
"If the number theory community knows this news, I'm afraid they will rush to Princeton as soon as possible." Witten took over Deligne's words and answered with a smile.
Vicky's mood soon stabilized, but he still maintained his point of view.
"I'll be there on time."
After all, after studying number theory for so many years, and having professors and scholars in the circle supporting my judgment, I will definitely not easily believe that topological group theory can be proven.
Otherwise, wouldn't it mean that his research is of no value?
In his opinion, the so-called proof in Xu Yun's mouth should be a false proof. As long as he is at the scene, he will definitely be able to find a way to overturn the proof, so there is no need to argue now.
The world of mathematics can only rely on its own strength.
Xu Yunke still remembered what Wu Zhongping said when he came. Since he had to show his skills in front of Princeton University students, the content of ordinary open classes seemed to be relatively ordinary.
No matter from which point of view, topological group theory is the most suitable.
After all, he couldn't prove Goldbach's conjecture on the spot.
Soon Deligne seemed to have thought of something again and asked again: "I wonder when are you going to start this open class?"
"Any time." Xu Yun replied.
Whether it's the proof of Goldbach's conjecture or topological groups, it's all in his mind.
There is no preparation for what I want to say.
To put it simply, it’s basically four words.
Have it at your fingertips.
Deligne naturally supported this, and after a moment of thought, he decided on the specific time.
"Then how about tomorrow afternoon?"
"Can."
"In that case, you can wander around the campus today, or you can go elsewhere if you want. I will arrange for my students to cooperate with you later." Deligne received Xu Yun's confirmed answer and immediately replied with a final decision.
Naturally, Xu Yun would not refuse this kind offer, as it was his first time coming to Princeton University.
If you want to understand the culture of this school, it is undoubtedly more convenient to have someone accompany you.
"Thank you Professor Deligne."
After expressing his gratitude to Deligne again, Professor Witten next to him suddenly burst into laughter.
"I think tomorrow is likely to be the most attended public class in the school."
"I am looking forward."
…
After determining the time and content of the open class exchange, Xu Yun came out of Deligne Witten and successfully met Deligne's students not long after.
Under the guidance of the other party, we had a good appreciation of the architecture and environment of Princeton University.
During the process, he did not forget to take photos so that he could share them with Chen Shihe after returning to China.
It is also worth mentioning that Xu Yun did not return to the hotel in the evening, but stayed in a room in an old castle building on the school.
The next afternoon.
Just as Professor Witten predicted, the largest classroom was already full of people before the open class started.
Many people even chose to stand and listen.
Looking at it, except for a few international students, the number of professors is also not small.
Among them are Deligne and Witten and that Vic.
Xu Yun, as the most outstanding genius in the field of mathematics in recent years, independently proved the Hodge conjecture and has become the idol of many students studying mathematics.
This time I traveled across the sea to Princeton University for academic exchange. How could I miss such a hard-won opportunity?
What's more, this genius is not only very young and talented, but also very handsome in appearance. Naturally, everyone wants to see with their own eyes how he is in real life.
(End of chapter)
