The further down he looked, the more intriguing his expression became.
After the opening remarks, Lu Zhou went straight to the main topic.
"The so-called group structure method is the abbreviation of 'the overall structure research method of group theory'. Its core idea is to use the concept of cyclic groups to study the problem of infinity from a holistic perspective. Based on the integer modulo p multiplicative group is always a cyclic group From this theorem, we can get..."
There is no doubt that everyone sitting here is witnessing history.
He could answer this question, but he couldn't answer it.
After a while, Wiles said with a smile: "It seems that our worries are unnecessary."
"Haha," Deligne said with a smile on his face and said without mercy, "I don't know who it was at the time. It looked like it was the end of the world all day long. It planned to apologize to the New York Times and open the door. Return the champagne."
At this moment, small exclamations rang out in the venue.
The year he was talking about was the most important mathematics lecture at the end of the 20th century held at the Newton Institute twenty-three years ago. More than two hundred mathematicians listened to this lecture, although only a quarter of them could fully understand the Greek letters and calculations on the blackboard.
It was an exclamation of surprise.
"The content of my speech will be divided into two parts. One part is about the group construction method I used to prove Goldbach's conjecture, and the other part is about the proof of Goldbach's conjecture."
Especially James Maynard, sitting in the middle of the venue with his arms folded, listening very carefully.
Wiles coughed slightly and talked about this dark history in an understatement: "Only when a person faces a desperate situation can inspiration burst out. I just pushed myself into a corner, and then survived... the result For my part, I did it.”
"In addition, I will spend as much time as possible in the question and answer session."
Lu Zhou, who was dressed in a suit and leather shoes, walked up to the podium. The lecture hall, which was originally a little noisy due to whispering, suddenly became quiet.
Similarly, there is no need to go through the PPT again for those parts that have been clearly written in the paper. After all, everyone’s time is precious, and you don’t come to Princeton just to see the slides.
Looking at the calculations on the curtain, Deligne's mouth finally stretched into a smile of relief.
Sitting next to him is his doctoral student, also a British young man named Evan.
Although Goldbach's conjecture is more like a test question to test intelligence than the widely used Fermat's Last Theorem, this intelligence test question can be put into the eighth question of the twenty-three questions by Hilbert. It can be seen that Its status in number theory and even the entire field of mathematics.
"It's not that he's here too," Deligne said after a moment of pause, "it's that no one wants to miss-"
It's the same now.
If he was not optimistic, he would not arrange this report meeting for Lu Zhou, but would suggest modifications.
"I believe that everyone has read my thesis before coming here. I will abbreviate the long and cumbersome steps in the thesis in the PPT. My explanation will mainly focus on the key steps and the two ideas and ideas. aspect."
For all the experts here, such problems will naturally not arise.
The mental preparations that need to be made are already done while off stage.
It can be said that he came here from the UK just to find fault with his competitors.
As for the remaining three-quarters, they traveled thousands of miles to England just to witness history.
Deligne unceremoniously revealed: "Isn't your last explanation performance art?"
It is not only an academic practice but also a necessary etiquette to preview the speaker's paper before the start of the academic seminar. If during the question-and-answer period, you stand up and ask questions that are written in the paper, or are irrelevant, it will be considered a very rude and low-level thing.
"I didn't expect that I had only been away for a few years, and another talent would come out of the Institute for Advanced Study in Princeton." Looking at the young people on the stage, Andrew Wiles nodded approvingly, "Not bad, he is half as charming as I was back then. "
"Okay, my dear friend, let's change the topic." Wiles changed the subject calmly, looked at the content on the curtain, and said, "Goldbach guesses that I don't understand it very well. From your point of view, Let’s see, does his paper count as proof?”
While explaining, Lu Zhou's laser pointer moved across the white curtain.
Deligne and Wiles stopped communicating and looked towards the stage.
But Lu Zhou, who was standing on the podium, had a calm expression, not at all frightened by the pressure from those pairs of eyes.
After returning to his alma mater, Oxford University, to teach in 2011, Andrew Wiles rarely returned to the Institute for Advanced Study in Princeton. The position of chairman of the Department of Mathematics at Princeton University was also given to another genius, Charles Fefferman.
Maynard stared at the PPT shown carefully and remained silent.
Compared with the second half of the proof of Goldbach's conjecture, the theory of group structure method is more critical, because only by understanding the content of this part can the people sitting in the lecture hall and listening to his explanation understand what he has done. What exactly is work
However, even if he doesn't want to admit it, he now has to admit that the gap in strength between himself and his opponent may be more than one Philippine Prize...
On the other side, in the back row of the lecture hall, two old men were sitting low-key in the corner of the venue, watching the lecture and reminiscing in a casual tone.
Deligne: "You should ask Ivanets and Faltins this question. They are the experts in analytic number theory, and I have only dabbled in the prime number problem. Of course, after reading his paper , my point of view is relatively optimistic."
Solving it may not change the world like the Millennium Problem, nor can it change mathematics like Fermat's Last Theorem, but the tools created in solving this problem are invaluable to the entire mathematical community.
If it were anyone else, let alone talking about math problems, being stared at by so many big guys would probably make my legs weak.
Firstly, he didn't want to miss any details due to distraction, and secondly, he was afraid that as soon as he opened his mouth, he couldn't help but express his praise for this ingenious method in his words... And just the day before yesterday, he also threatened on his personal blog that this The 50 pages of the paper are all waste paper. This Chinese trick will be exposed on the spot at the Princeton lecture.
Call deg(p) the degree of vertex p. Then define C(G)=…]
As usual, Lu Zhou thanked the scholars who were invited to attend the lecture and began to describe the process of his lecture.
This Chinese scholar's logic is so rigorous that not only did he not find any problems, he even couldn't help but applaud...
Therefore, Lu Zhou explained this part of the content in extra detail, trying to explain every point as clearly as possible.
What's more, this is not the first time he has faced such an occasion.
But that’s what it says…
Looking at the lines of text flashing on the screen, the British guy gradually began to lose track of the rhythm.
No one maintains discipline, everyone is in a tacit understanding, staring at the person on the podium with eyes either doubtful, expecting, or expressionless.
[...Suppose the finite group G and |G|=p1α1p2α2···piαi, where pi is a prime number and αi is a positive integer. Let p∈π(G), define deg(p)=|{q∈π(G)|p~q)|
"I never worried."
As the saying goes, colleagues are enemies. He also studies the problem of prime numbers and is a leader in the field of analytic number theory among the new generation of British mathematicians. As one of the popular candidates for the Philippine Prize, he originally planned to use the twin prime number problem to help him win the Fields Medal in 2018. However, he did not want to be beaten first by Lu Zhou, so he was so angry that he burned the manuscript.
The people sitting in the audience, whether they were invited scholars or uninvited students, all listened attentively.
"Thank you all for coming to Princeton from all over the world and listening to me stand here and report on the research results on Goldbach's conjecture."
"Professor, what is his group construction method talking about?"
Finally, he couldn't help it and asked in a low voice.
Two o'clock sharp.
Wiles looked surprised: "Faltings is here too?"
Whether it works or not, mathematics is such a realistic thing.
At the same time, it also contains praise.