"Everyone is welcome to attend my open class. The main content today is about the proof and application of topological group theory. I will also set aside time after class to answer questions raised by everyone."
July 22, 2018, 2:30 pm, Princeton University open class classroom.
Xu Yun stood on the podium and spoke in full English facing the figures below who spoke at least two to three hundred words.
He didn't prepare anything in advance, so he relied on improvisation.
Fortunately, the perfection and proof process of topological group theory are all stored in his mind and there will be no unexpected situations.
at the same time.
Since this open class has not officially started yet, you can vaguely hear the whispers of Princeton students below.
"Is this a mathematical genius from China? I didn't expect him to speak foreign languages so well."
"It's really exciting to be able to prove the world's mathematical problems."
"It's actually about topological group theory. Today's open class is not in vain."
"My God, he looks younger than us, but he's already done miracles."
"Didn't Professor Veitch say that topological group theory is invalid?"
"He has the most handsome oriental face I have ever seen. It would be wonderful to have a date with him tonight."
…
Xu Yun didn't take these discussions to heart. When he started to explain the relevant content of topological group theory, the audience suddenly became extremely quiet and all eyes were focused on Xu Yun.
"Topological group theory was proposed by me to prove that there are infinite prime numbers in the Fibonacci sequence."
“The main thing is to add topology to the sieving method and optimize and improve it.”
"What is gratifying is that not long ago I have completely proved the feasibility of topological group theory, which will help us reach the highest palace of number theory."
The magnetic words formed sentences came out of Xu Yun's mouth, and then he faced the blackboard and wrote mathematical formulas.
"Prime number set P={P1, P2, P3,..., Pn,...}"
"The range is Z."
"A(N)={a|a=NP, P≤N}"
…
As time went by, there were more and more mathematical formulas on the blackboard under Xu Yun's narration.
Although Xu Yun has tried to simplify it as much as possible relying on his own abilities, it is still very difficult for many students to understand.
The originally expectant expression slowly turned solemn.
After all, the improved topological group theory can be used to prove number theory problems.
It's normal that ordinary people can't understand it.
Even if you are a postgraduate or PhD student in the Department of Mathematics, you will still be confused when faced with the complex formulas in front of you.
Being able to understand something superficially shows that you are quite talented in mathematics.
At the same time, this also allows everyone to understand the value of Xu Yun's open class. It can be said that the level is no less than that of professors from the Institute for Advanced Study.
For example, the level of professors in the general mathematics department is much lower than that of Xu Yun.
But Vicky, who was also sitting in the audience, did not listen to the lecture at this moment. Instead, he took a piece of scratch paper and made quick calculations on it.
If someone were to approach him at this time, they would be able to vaguely hear the words he kept repeating.
"It's certainly impossible to prove."
"impossible."
"My judgment is not wrong."
"There's definitely a way to disprove this theory."
As a professor in the Department of Mathematics at Princeton University, he has been engaged in number theory research for decades.
Have absolute trust in yourself.
Since it is determined that topological group theory is not established, in this case we must do everything possible to overturn it.
When the proof of Hodge's conjecture was released, mathematicians around the world did the same thing.
It's a pity that he still underestimated Xu Yun's talent and strength.
After learning about the proof process, he began to calculate alone, trying to find an entry point to overturn it.
For this reason, what Xu Yun talks about later is almost not talked about calmly.
However, seeing that the open class was about to end, he still could not find any problem that could be overturned.
Deligne and Witten, who were not far away, looked at Xu Yun with eyes full of admiration and excitement.
"This kind of talent and understanding of mathematics are by no means inferior even to Gauss, the prince of mathematics in history. It is a pity that he is not a student of our Princeton University."
"Perhaps we can invite him to join our Institute for Advanced Study." Witten turned his head and spoke after hearing Deligne's emotion.
The speaker has no intention and the listener has the intention.
Deligne's eyes couldn't help but light up when he heard this, and he began to make calculations in his mind.
"I believe that topological group theory will be widely used in the field of number theory, and I welcome everyone to continue to optimize it."
"That's all my lecture for today, thank you all."
At this time, Xu Yun on the stage finished his conclusion and announced that the open class was over. The students who were already extremely excited in the audience suddenly came forward.
The scene seemed very lively.
"Can I take a picture with you, teacher?"
"Can you give me your contact information? I want to date you."
"You're so awesome."
"This class is very exciting. I will continue to explore mathematics with you as my idol."
"Teacher Xu, I am an international student from Qinghua University. I am so happy to see you here."
Compared with students from Jingzhou University, Princeton University is undoubtedly more bold and proactive.
Several of the blond female students were so outspoken that Xu Yun almost couldn't resist.
Of course, he would definitely not give out his contact information, and he had no idea of having a cross-border relationship. In the end, he just gave his personal email address for communication on mathematics-related issues. Anyway, strictly speaking, his personal email address is not a secret, and it will not affect his life.
Nearly twenty minutes passed, and after the number of people in the classroom was significantly reduced, he broke away from the encirclement and walked towards Delnie Witten and others who were still sitting in the audience.
"Professor Deligne."
"Professor Witten."
Perhaps because some female students were too proactive just now, Xu Yun's face was still a little rosy when he said hello.
Look embarrassed.
"Your talent and potential are higher than I imagined. With your topological group theory appearing in the field of number theory, I believe it won't be long before the famous conjecture of number theory that has troubled the entire mathematical world will be made progress."
Deligne stood up with a smile on his face, wishing that Xu Yun was his student.
Although the field he studies is mainly algebra, it is impossible not to understand the theory of numbers at this high level.
Naturally, we can see the value of topological group theory.
Witten next to him said: "If I can see all the world's mathematical problems solved in my lifetime, I will have no regrets."
Xu Yun listened to the emotions of the two mathematics masters, and his face seemed to be very calm, but in fact he was very active in his heart.
How did Deligne know that he had applied topological group theory and thoroughly proved Goldbach's conjecture.
I really wonder how they will react when they hear the news.
Just as Xu Yun was thinking about it, Wei Wei, a professor in the Department of Mathematics who was sitting not far away, finally dropped the pen in his hand.
After being stunned for a few seconds, he slowly stood up and walked to Xu Yun.
"My previous judgment was wrong. Topological group theory is indeed feasible and can be used to prove number theory problems."
"Your research and understanding in the field of number theory are far superior to mine."
"I apologize for what I said earlier."
Vicky finally accepted the reality. After discovering that he could not overturn Xu Yun's proof, he understood how ridiculous his previous decision was.
Facts have proved that it is not that topological group theory is not established, but that his level is limited and not as good as Xu Yun's understanding.
It is more serious for him not to accept the truth in mathematics than to admit his mistakes.
So he made the decision to acknowledge and apologize for topological group theory in front of everyone.
The students who had not left the classroom naturally knew Vicky. After seeing their professor taking the initiative to apologize, they were even more surprised and later realized how valuable the open class just now was.
But before they could calm down, what Deligne said next was even more shocking.
"There is one more thing I want to ask your opinion on. Are you willing to join the Institute for Advanced Study in Princeton?"
"Join the Institute for Advanced Study?"
Xu Yun was a little startled when he heard Deligne's words. He didn't expect that the other party would suddenly invite him to join.
There is no doubt that the Institute for Advanced Study in Princeton is much more valuable than the Institute for Advanced Study in Mathematics at Kyushu University. After all, members like Delnie Witten have won the Fields Medal.
The Institute for Advanced Research at Beijing University has only a few members so far.
Just when Xu Yun was deep in thought, Vicky next to him was full of envy and even wanted to agree on Xu Yun's behalf.
He has been working in the Department of Mathematics at Princeton University for such a long time, yet he has not been able to join the Institute for Advanced Study. Now Xu Yun is not only qualified to join, but the key is that he was personally invited by Deligne. This kind of arrangement and his experience in mathematics Any other mathematician would be envious of the recognition of his contribution.
But Xu Yun made the opposite decision to others.
"Thank you Professor Deligne for your recognition of me, but I have already joined our School of Advanced Mathematics at Beijing University, so I can only say sorry."
To be honest, he proved two difficult mathematical problems and there is no need to join the Institute for Advanced Study in Princeton.
What he should do more is to use his own mathematical knowledge to cultivate outstanding new talents in mathematics.
He believes that he can make the Institute for Advanced Study in Mathematics at Peking University grow to the level of the Institute for Advanced Study in Princeton.
And this day is definitely not far away.
Some of the students nearby, including Wei Wei, were surprised when they heard Xu Yun's answer.
A question mark couldn't help but appear in my mind.
He actually refused?
Thinking of the opportunities that I could never get no matter what, but being easily rejected by others.
It really lives up to that sentence.
People are so irritating!
In this regard, Deligne acted relatively calmly, as if he had guessed Xu Yun's decision before raising this question.
I just didn't want to give up and gave it a try.
"It doesn't matter."
"No matter where you study mathematics, as long as you can contribute to the development of mathematics, it is enough."
"Thank you Professor Deligne."
After hearing what Professor Deligne said, Xu Yun immediately nodded in response.
The progress of the matter is basically over here. Next, Xu Yun only needs to wait to attend the Mathematicians Conference with Princeton University. In addition, the deadline for the task is also very close.
But then Deligne made another request, and he couldn't refuse this request.
(End of chapter)
