"This is Professor Tang Gucong, the deputy dean of the Department of Mathematics at Teito University. He came all the way from Teito University to attend your defense." Qin Xiangxin introduced the identities of several people in the defense room to Xu Yun: "You have to behave well later. "When talking about Yugu Cong, I specifically mentioned it.
Although Xu Yun was prepared, he still felt a little pressure after learning the identities of the people in front of him.
I thought to myself that it was a good thing that I had been busy for so long to write a paper with high academic value to meet the task requirements, otherwise I would have been really embarrassed in front of so many senior professors.
After coming back to his senses, he quickly took over Qin Xiangxin's words and greeted the people in front of him respectfully.
"Hello, Professor Tang."
…
"I'll trouble you, professors, today."
"Let's get started."
Yuan Chengming waited for everyone to finish greeting each other and couldn't help but remind him.
When everyone turned around, they realized that Yuan Chengming had reached his position at some point.
He seemed impatient.
So everyone no longer wasted time and sat down one after another to cast their eyes on the projection screen on the wall in front of them.
Six senior scholars who were removed from the Mathematics Society, plus Qin Xiangxin, Tang Yanshan and He Antai, it is indeed very rare to have a defense jury composed of nine people.
And it also includes academicians.
Xu Yun experienced the last academic seminar, so his mentality is quite calm now.
No tense situation occurred.
"Dear everyone..."
Just when Xu Yun got down to business and was about to officially start his undergraduate graduation defense, he saw that the door of the defense room was suddenly pushed open from the outside, causing his rhythm to be interrupted.
"Are we not late?"
Xu Yun couldn't be angry about this, but there was an unexpected look in his eyes.
I blurted out something subconsciously.
"headmaster."
Yes.
The person who opened the door and walked in was Wu Zhongping, the president of Jingzhou University.
and Xu Chongxing, dean of the Academy of Physics.
The main field of study of both of them was not mathematics, and Xu Yun really did not expect that they would come to listen to his graduation defense.
Xu Chongxing had a smile on his face at the moment and explained calmly when asked.
"I heard that you sat in the library for more than ten hours without eating or drinking to write your graduation thesis. The principal and I are very curious about what kind of content can make you pay such attention to it."
"We are just here to listen to the lecture and will not participate in your defense." Wu Zhongping finished speaking and walked towards his seat.
This situation also made Yuan Chengming more interested, and he was increasingly looking forward to the content of the next defense.
"I didn't expect that there would be such interesting things in the middle."
He smiled and murmured something, and took the initiative to help Wu Zhongping, Xu Chongxing and others pull out their chairs.
Xu Yun was not surprised that news about him in the library reached the principal's ears.
After all, this matter is quite popular in the school.
However, it was really hard to come here to listen to his graduation defense, but looking at the two people who were already seated, he couldn't invite them out anymore.
He had no choice but to accept two more academicians as members of the defense committee and turn his attention to the courseware again.
As the picture on the screen changed, everyone finally knew the direction of Xu Yun's graduation thesis research.
"Dear teachers, good morning everyone, I am the respondent Xu Yun."
“My thesis writing was done independently.”
"On a new method of proving that there are infinitely many prime numbers in the Fibonacci sequence."
Almost at the same time that Xu Yun said the title of the paper, Tang Yanshan's eyes suddenly showed strange colors, which was no less than an earthquake.
No matter what, I never expected that Xu Yun would choose the field he was least good at as his graduation thesis.
He even exclaimed: "How could it be number theory?"
He knew very well that if Xu Yun could prove Hodge's conjecture, his best fields must be algebra, topology, and fractions. It was the safest way to choose a research direction in these contents for his graduation thesis.
Xu Yun never did anything he was unsure of, so he didn't think it was necessary to help guide his graduation thesis.
This allowed Xu Yun to complete her graduation thesis completely independently.
But he never expected that Xu Yun would actually study number theory. You should know that this field is an elective in the Department of Mathematics at Peking University.
What's more, Xu Yun's time to study number theory was also very short, and he didn't think he could have a deep understanding.
But soon he thought that Xu Yun's defense had already begun. In order not to disturb Xu Yun's rhythm, Tang Yanshan had no choice but to silence himself and suppress the surprise and surprise in his heart for the time being.
Wait until the defense is over before asking Xu Yun about the situation.
What is basically certain is that Qin Xiangxin's invitation to Yuan Chengming and other senior members of the Mathematics Society to attend Xu Yun's graduation defense seems a bit redundant now.
Although Qin Xiangxin next to him looked calm on the surface, he was shocked in his heart. Xu Yun gave everyone another unexpected surprise.
According to his own imagination, Xu Yun should set up a project based on Hodge's conjecture to complete the writing of his graduation thesis, and then try his best to show his level during the defense process, and bring a little success to the foreign professors he found. The shocking news indirectly announced to the outside world the strength of the Department of Mathematics at Peking University.
Now that Xu Yun has chosen number theory, which he is least good at, he can only be guided.
Of course, from another aspect, this is not a bad thing, at least it can play a role in tempering one's mind.
Let Xu Yun realize his own shortcomings so that he can go further and further on the road of mathematics in the future.
Among all the people present, who was in the most relaxed mood at the moment, it must be Satoshi Yutani, who is the deputy dean of the Department of Mathematics at Teito University.
You must know that number theory is his research direction.
When he first got off the car, he was still worried that he would not be able to guide Xu Yun, who was involved in the fields of algebraic geometry and topology. Unexpectedly, Xu Yun took a different approach and chose number theory as his graduation thesis.
Proving that there are infinitely many prime numbers in the Fibonacci sequence was a subject he was not unfamiliar with.
Even among his doctoral students, some wanted to find new ways to prove this conjecture.
But the results all ended in failure of the argument.
There are many prime numbers in the Fibonacci sequence, but no one has been able to completely prove whether it is infinite. Although this conjecture may not be as difficult and well-known as the Riemann conjecture of twin primes, the fact that it remains unresolved in the mathematical community speaks volumes.
Therefore, in his opinion, Xu Yun's courage to try new fields is indeed bold, but he is afraid that it will still end in failure.
However, as long as the proof process is innovative and can make some contribution to the research of number theory, it is enough to complete the graduation defense and graduate successfully.
A large number of thoughts flashed through his mind as his mind was running, and Yutani Satoshi's expression became more and more relaxed.
He returned to his usual state of participating in student defenses at school, and at the same time, he also took the content of Xu Yun's courseware seriously.
…
As time gradually passed, Xu Yun talked about his proof ideas and detailed process.
In particular, the new method he used, topological group theory, was mentioned.
Xu Yun didn't know what the professors and academicians were thinking, so he just told the course content at his own pace.
When it comes to key points, he will pick up the chalk and write formulas and numbers on the blackboard next to him.
Just when he was immersed in the narration, he did not notice that the expressions of several professors and academicians had changed from relaxed at first to serious. In particular, Vice President Tang found some scrap paper from nowhere and lowered his head. He quickly wrote and checked on it.
It seems that he wants to demonstrate Xu Yun's proof process.
"this……"
"It's actually proven!"
"Topological group theory."
"Genius, what a genius idea."
I don’t know how much time passed, but Yutani finally stopped what he was doing and couldn’t calm down while looking at the argument process on the draft paper.
He repeated a few sentences and gave a very high evaluation to Xu Yun's graduation thesis.
Originally, he was not optimistic about Xu Yun's so-called new method, and he did not think it could successfully prove the existence of infinite prime numbers in the Fibonacci sequence.
But as Xu Yun told it, he found that there seemed to be no problem with the thinking and proof process.
Until the emergence of topological group theory, he could no longer hold back his excitement.
He took out a few scraps of paper from the defense room and couldn't wait to conduct calculations and demonstrations to confirm his guess. Facts have proved that Xu Yun not only proved that there are infinite prime numbers in the Fibonacci sequence, but also the topological group theory method he proposed is very unique. Great value.
At the same time, Tang Yanshan, Yuan Chengming and others all looked at Tang Gucong and asked questions one after another.
"How about Lao Tang?"
"Did Xu Yun really prove this number theory conjecture?"
"What about the topological group theory method?"
The field of their research was not number theory. Later, when Xu Yun talked about the so-called topological group theory, he couldn't understand it, so he could only place his hope on Yugu Satoshi, an expert in this field.
Satoshi Yutani is worthy of being a senior professor who has studied number theory for many years. Facing the inquiries of several other people, he took a deep breath and exhaled slowly before expressing his views in an extremely solemn manner.
"This is a senior thesis that can be published in the Annual Journal of Mathematics."
"Xu Yun indeed proved this conjecture."
"The most important thing is that this new proof method developed by Xu Yun can have a great impact on the world of number theory."
"If he can continue to improve this method, it may even become Xu's theorem, which will play a crucial role in proving the famous twin prime numbers Goldbach's conjecture and Riemann's conjecture."
Neither Yuan Chengming nor Qin Xiangxin naturally thought that Tang Gucong was exaggerating.
Although I didn't expect Xu Yun to have such a deep understanding in the field of number theory without knowing it, being able to complete a new conjecture proof is a very good thing for both the individual and the school.
What's more, the proof of this conjecture can also indirectly affect several other world-wide mathematical problems.
If Xu Yun proves that luck plays a large role in Hodge's conjecture, then the publication of this paper and the emergence of Xu's theorem will let the entire mathematical community know that Xu Yun relies on his true strength.
"The above is my entire proof idea and process. There are indeed infinite prime numbers in the Fibonacci sequence."
While several professors and academicians were discussing privately and immersed in Xu Yun's terrifying mathematical talent, Xu Yun also completed the entire courseware presentation.
Next came the question and answer session with the professors.
Tang Gucong, who had personally verified the proof process, had already been occupied with various questions. At this time, he naturally did not hesitate and asked Xu Yun a question first without waiting for others to speak.
…
I recommend a new book, if you are interested, you can read it.
(End of chapter)
