"Champagne, I've prepared it for you too."
Martin Taylor gave up his seat to Li Mu and tapped the cap of the champagne bottle next to him, with a smile on his face.
Li Mu looked at this bottle of champagne, it was the one he had not opened a month ago.
He smiled and said, "Thank you for remembering this."
"Haha, of course I remember."
Martin Taylor patted Li Mu on the shoulder, then walked off the stage without saying anything more.
Only Li Mu was left on the podium.
Take a deep breath and let it out slowly.
Then, Li Mu said slowly: "As Dean Martin said just now, Goldbach's conjecture has stumped our mathematical community for too long and spanned too much history."
"But I would say that's enough."
"Today, it is up to me to bring this 280-year history to a close."
The multimedia screen behind him moved, and the title of the report appeared on the PPT: [K-Mode Theory, Elliptic Curves, and Goldbach's Conjecture]
"The sieve method is a basic method in number theory. Its research object is the sieve function, which is the number of elements of a finite subset of integers that has been 'screened'."
"The original sieve method was undoubtedly the sieve of Eratosthenes. However, as a classical sieve method, it did not have much theoretical value and did not develop for a long time."
"But as our mathematics entered the 20th century, various methods were improved, and the value of the sieve method developed."
Li Mu moved his hand and the PPT page turned again.
"The method of circles comes from Hardy and Littlewood, two of the most famous collaborators in mathematics."
"The Hardy-Littlewood circle method, like the sieve method, has become one of the most commonly used methods in number theory."
…
At the beginning of the report, Li Mu first introduced the two most important methods he used in the proof process.
Although what he described was very basic in the mathematical world, no one present showed any impatience.
After introducing these two methods, which have a very important position in the number theory world, Li Mu suddenly turned his head, looked at the people present, and said, "Here, I want to ask you a question."
"Are there any other theories or mathematical methods that can be combined through different changes like the circle method and the sieve method?"
"Perhaps, if this is true, we may be able to achieve another kind of grand unification in mathematics."
After hearing the question he raised, the mathematicians present couldn't help but think.
Is this... possible?
However, Li Mu didn't give them much to think about, and then said: "Okay, let's get to the main topic, which is the combination of the sieve method and the circle method. "
"This is also the most important key step in proving Goldbach's conjecture."
“Before that, please allow me to express my gratitude to Professor Lukas Richter, because it was through my cooperation with him that I learned about this possible direction.”
Everyone in the venue couldn't help but cast their eyes on Lucas Richter's seat.
Lucas Richter also had a smile on his face. Although he did not provide much help for Li Mu's proof and was limited to the method he conceived, he did not expect that Li Mu would express his gratitude to him in public.
This young man...it's hard not to like him.
Of course, Li Mu on the stage was not too entangled in this matter, and then continued: "After about a month of research, my intuition told me that I cannot complete these two tasks purely in the field of number theory. A combination of methods, so I had to introduce other fields, and then algebraic geometry came into my sight."
"So, my attempt began..."
He turned around and started writing on the blackboard.
【In∮f（z）z^-(n+1)dz=2pπian……】
[ζ=exp（2πir）/s……]
As Li Mu completed a few steps, the eyes of the mathematicians below lit up.
In Li Mu's paper, these mathematics scholars actually have a big doubt, and that is how Li Mu came up with the idea of combining the sieve method and the circle method in the field of algebraic geometry.
However, in the paper, Li Mu did not explain this, but directly derived the method, and then completed the combination of the two.
After all, the paper will only show the process of solving the problem, and naturally it is impossible to put all the ideas in it.
Finally, Li Mu has given his explanation for this question that has been plaguing the mathematics community.
"So that's it!"
In the first row of seats, Faltings's brows moved, and his face, which had been expressionless until now due to Wiles's actions, finally had some waves.
"It turned out to be obtained through the basic theorem of residual numbers, and then entered the complex plane... and then discovered a certain hidden connection between the two methods through the method of analytical continuation?"
Faltings thought silently, and finally his eyes lit up.
"No wonder! No wonder he thought of solving it in algebraic geometry!"
This wonderful step was worthy of his praise for Li Mu.
Turning his head, he looked to the side.
At this time, Wiles and Deligne obviously reacted, with expressions of sudden realization on their faces.
This was one of the purposes for them to attend the report meeting, not only to communicate with Li Mu more closely, but also to understand what kind of thinking Li Mu had in the process of solving problems.
This report meeting was worth it!
But... "Wiles, it seems that you don't know how Li Mu came up with this idea? Can he be called a teacher?"
Faltins scoffed.
Wiles waved his hand nonchalantly and said, "Don't you know that there is an old saying in China: "The master leads you in, but cultivation depends on the individual?" "
"There is another saying: A disciple does not have to be inferior to a teacher, and a teacher does not have to be better than a disciple."
Faltings: "..."
Next to him, Deligne silently gave Wiles a middle finger.
You are so confident.
…
Of course, the mathematicians who understood Li Mu's step couldn't help but want to applaud and praise him, but for those who didn't understand, they could only express their confusion.
Especially the students who came from major universities in the UK were basically at a loss.
In addition to the professors, there were quite a few students who had made reservations for this lecture, especially those from Oxford University and Cambridge University.
It can be said that the number of mathematics students from these two schools is the largest. However, facing a report meeting of this level, they have no extra time to do anything else except frantically taking notes.
Tom and Lester, another fellow student who came with him, were in the back seat, looking at the steps written by Li Mu on the blackboard in a daze.
Tom: "Do you understand?"
Lester: "Uh... you understand a little bit... right? It's the Fundamental Theorem of Residual Numbers after all! Haha."
Tom: "...I also know that it is the fundamental theorem of residual numbers."
The two were silent for a moment, and finally sighed together.
Being classmates with Li Mu, although they don't feel any pressure, after all, the gap is too big and there is no need to feel it, but it always makes them feel...
They look dispensable.
After being distracted for a while, they raised their heads again, only to be stunned because the blackboard was only half full just now, and now it was suddenly full!
It looks like Li Mu is even going to start wiping the blackboard!
They suddenly no longer dared to talk distractedly and continued to take notes frantically.
…
Of course, in addition to the students, reporters from CCTV and BCC were also confused.
However, compared to the confusion of those scholars or students, they are very easy to accept their own confusion.
If they really understood it, they wouldn't be able to accept it.
"Hmm...do you understand what Li Mu is talking about?"
Chen Lin asked Zhang Tao next to her.
Zhang Tao shook his head: "I don't understand, Boss Shang, do you understand? I heard that you scored more than 140 points in the mathematics test of the college entrance examination."
Shang Peiyuan: "...Don't talk about college entrance examination mathematics in a place like this, okay? It's embarrassing."
Can the college entrance examination mathematics thing be compared with this kind of report?
Zhang Tao nodded in agreement: "That's right."
At this time, a BCC reporter came over and suddenly greeted them: "Hey, Shang, I didn't expect to see you here."
When Shang Peiyuan and the other three saw this reporter, they all had smiles on their faces.
They all know this reporter, and he is one of the few normal reporters in the BCC. In addition to not publishing any biased news, he has also said a lot for China. Although it is useless, this friendship is still there. of.
"Means, I didn't expect you to come too." Shang Peiyuan said with a smile.
"I am very interested in this kind of scientific news that sounds awesome, so I took this task. Speaking of which, Li Mu from your country is really awesome."
"Of course!"
Hearing others praise their family members, the three Chinese reporters naturally expressed their agreement.
"The mathematics foundation of your country is really enviable. Although we in the UK also have a compulsory education system, our mathematics foundation is also notoriously poor..."
Shang Peiyuan consoled him: "Different countries have different habits. In fact, your mathematical foundation is not much different."
Mearns shook his head, "It's better not to comfort me. Just like me, at most I think I'm better than that guy Cameron. I can at least calculate that 8 times 9 equals 82."
Shang Peiyuan, Zhang Tao, Chen Lin: "..."
Uh... do they correct it or not?
this is a problem.
(End of chapter)
