"Isn't Xu Yun's report today about topological group theory? Why did it turn into proving Goldbach's conjecture? Why have I never heard him say that he solved this famous number theory problem?"
Yuan Chengming in the audience was full of doubts. He never expected that things would develop like this.
When he opened his mouth to ask Tang Yanshan next to him, he could not help but reveal some worry in his brows.
Originally, as long as Xu Yun announced at the report meeting that topological group theory was proven, all previous doubts would disappear.
As a result, the rash choice to prove Goldbach's conjecture was indeed a step too far.
A rollover situation is highly likely.
The proof of Goldbach's conjecture has reached the most critical step. If a breakthrough cannot be achieved, Neon will surely seize the opportunity to continue spreading rumors and causing trouble to affect Xu Yun's international authority.
This is something you don't want to see anyway.
In fact, it's not just Yuan Chengming, Tang Yanshan is also blind at this moment.
Even when Xu Yun came on stage, he thought Xu Yun was going to talk about his topological group theory.
It wasn't until he heard what Xu Yun said that his face was full of surprise.
"I don't know either."
"He never talked about proving Goldbach's conjecture at the conference."
Tang Yanshan frowned and answered Yuan Chengming, but no matter how fast his brain was running at this time, he really couldn't think of any solution.
However, Yutani Satoshi was relatively calm compared to the two of them, and he did not forget to appease their emotions.
"Don't worry yet."
"Maybe it's not so bad."
"Believe in Xu Yun."
"You have forgotten that Xu Yun's topological group theory can be used to prove number theory problems. Maybe he really solved the Goldbach conjecture problem."
Hearing Yu Gucong's words, Yuan Chengming and Tang Yanshan couldn't help but take a deep breath.
If Xu Yun really solves Goldbach's conjecture, what does it mean?
It means that he is the first person to solve two world-class mathematical problems, and his name is enough to be recorded in the glorious history of mathematics.
And I believe that no one can surpass this achievement.
The status of the domestic mathematics community will also rise.
"Can Xu Yun really prove Goldbach's conjecture?" Tang Yanshan asked in disbelief as he pictured the relevant images in his mind.
"Lao Tang is right, we have to believe Xu Yun." Yuan Chengming stared at Xu Yun on the stage and replied in a deep voice: "Besides, now we can only wait for Xu Yun's report to end."
Hearing this, Tang Yanshan had no choice but to straighten his head and say nothing more.
Xu Yun has already taken the stage, and they cannot let him come down, so no matter what the final result is, they can only wait.
However, the discussions of other mathematicians around him inevitably reached his ears.
To sum up, they are basically not optimistic about Xu Yun.
I don’t think Goldbach’s conjecture, a famous problem in number theory, will be completely proven today.
The most important point is still the issue of time.
After all, Xu Yun's age is there, no matter how talented he is in mathematics, it proves that Hodge's conjecture and his entry into the field of number theory and the proposal of topological group theory have already taken up most of his time.
How is it possible to study Goldbach's conjecture under such circumstances.
Of course, there are exceptions to everything, and Deligne and Witten, sitting on the other side, hold different views.
"He has successfully proved his theory of topological group theory, which is indeed a new direction to solve the famous conjecture in number theory." Faced with Xu Yun's unexpected approach, Witten was also a little hesitant at the moment: "But in my case It seems that this is at least a relatively long-term process, and it is indeed difficult to completely prove Goldbach’s conjecture in such a short period of time.”
"Based on what I know about him, he shouldn't be an adventurous person."
After hearing Witten's views on the matter, Deligne turned his head with a meaningful smile on his face.
"If he wasn't absolutely sure, he probably wouldn't have chosen to openly prove Goldbach's conjecture on this occasion."
"If you put it this way, you can really feel his confidence when talking to him just now." Deligne's words brought back memories in his mind, and Witten suddenly felt that it made sense.
At least if this matter were put on him, he would definitely not choose this method before he was absolutely sure.
But before the final results appear, what they said is just personal speculation.
All we can do now is wait patiently.
So after expressing their opinions, Deligne and Witten stopped talking.
Instead, he focused his attention on the writing board on the stage and listened carefully to this lecture, which would cause a huge shock in the mathematics community.
After all, if Goldbach's conjecture can be proven, it will be worth learning for them.
Being distracted at this time is a huge waste.
Compared with many mathematicians in the venue who still maintained a gentlemanly demeanor, those who chose to participate online were more direct and expressed their opinions on the platform to question this.
"This is absolutely crazy, actually trying to prove Goldbach's conjecture at the International Congress of Mathematicians."
"Geniuses are indeed madmen."
"The problem of number theory has troubled the academic community for so many years. How could it be easily proved?"
"Didn't I say that I was going to talk about topological group theory? Why did it suddenly turn into proving Goldbach's conjecture?"
"I don't think he can prove it."
…
"I actually want to prove Goldbach's conjecture. It's really stupid to use this method to prove my level."
At the same time, in the Mathematics Department of Dongjing University, Ohno murmured to himself while watching the online live broadcast of the conference and finally felt relieved.
Speaking of which, he was really worried that Xu Yun would successfully prove topological group theory.
But it's fine now.
Choosing to prove Goldbach's conjecture is doomed.
Even if a complete proof process could be written, it would definitely be full of loopholes and would not be recognized by the mathematical community.
He didn't even need to speak out before the number theorists in the venue would raise various questions.
It is also worth mentioning that because it is not real-time, the relevant news has been somewhat delayed when it reaches the country.
However, netizens think differently from mathematicians. Xu Yun’s previous solution to the Hodge conjecture problem has proven that even the world’s mathematical problems can be solved. Therefore, when he learned that Xu Yun was going to challenge the number theory problem again, his first reaction was excitement and the fact that he was of the same origin. Come with a sense of pride.
The refresh rate of topic comments on various websites has increased several times, and even comments with concerns and doubts are quickly deleted.
"It's actually trying to solve a famous problem in number theory. This is too strong."
"Xu Shen is awesome."
"If this is really proven successfully, he will be the first person in mathematics."
"Can it really be solved?"
"This is not bragging on the Internet. Who would do anything you are not sure about? Anyway, I believe in Xu Shen."
"I think it's still too risky. There are some of the most authoritative experts in mathematics at the venue. If a loophole in the proof process is discovered, the result may be too wonderful."
"Are you going to have the honor of witnessing history tonight?"
…
Xu Yun didn't know that the content of his report had already exploded in academic circles and on the Internet.
Standing on the stage, I can see the expressions of many people, and my face always shows confidence and confidence.
I remember that when he proposed to the Mathematics Union to conduct his report in this way, the relevant directors were also very surprised, but in the end, considering Xu Yun as a Fields Medal winner, he still met this request.
In addition, Xu Yun's report was all in his head and was written on the spot, so he did not know the specific content before starting, and the conference was even prepared to extend the time.
no way.
As the youngest winner of the Fields Medal, you do enjoy some privileges.
Just for his contributions to the world of mathematics.
With his thoughts turning, Xu Yun no longer wasted time. He picked up the marker prepared by the conference staff, faced the writing board and began to quickly write his proof of Goldbach's conjecture.
Because the relevant processes are all in his mind, writing is not much different from copying.
Very fast in terms of speed.
As the right elbow drives the wrist to move, mathematical characters suddenly jump on the board one after another.
Form complex and rigorous mathematical formulas.
At this moment, Xu Yun seemed to have returned to his high school days in a dream. The mathematics teacher Su Yushan was writing questions on the podium, and the students were staring at the blackboard and thinking.
It's just that now he has become a teacher, and the students in the audience are all mathematicians from various countries.
"Let Px (1, 1) be the number of prime numbers P that meet the following conditions."
"x-p=P1"
…
"This lemma is proved by (7), (8), (9) and (10)."
"Px(1,1)≥Px(x..."
…
Watching Xu Yun's writing process, his originally indifferent expression gradually turned into one of solemn expectation.
The bottom of my heart was filled with shock.
"Is this topological group theory?"
"What an exquisite idea and process, it's really genius."
"my God……"
…
"Theorem 1 is obtained from (28), Lemma 8 and Lemma 9."
"(1,1) and Px(1,1)≥...(logx)2"
"Certificate completed."
As Xu Yun finished writing the last mathematical character and successfully completed the proof of Goldbach's conjecture 1+1, both the authoritative mathematicians sitting in the venue and the scholars participating online could not hold back their excitement at this moment. They all looked for things around them that could be used to check the calculation, and wanted to demonstrate Xu Yun's proof process.
For those who have understood Xu Yun's topological group theory, they can naturally see the use of topological group theory from the proof process.
This shows that Xu Yun has completely perfected topological group theory and successfully solved Goldbach's conjecture using this method.
If the proof process can really withstand the argument, its value to the entire mathematical community will be unlimited.
It can be said that all problems in number theory have been solved.
Although Xu Yun has exceeded the reporting time, it is obvious that no one will pay attention to this point. Even those who are going to report next are completely attracted by the proof process on the stage.
He didn't even care about his own image and ran directly to the stage to study it up close.
The whole venue seemed very chaotic.
I don't know how much time had passed, but several of the mathematicians who were engaged in number theory research looked at each other, and they could see the excitement and fanaticism in each other's expressions.
"I think there is no problem with the entire proof process. Topological group theory is not only established but can also be used to prove number theory problems."
"I agree."
"Although in-depth demonstration is still needed, based on my judgment, I am afraid that Goldbach's conjecture has really completed the final 1+1 proof."
…
(End of chapter)
