"Goldbach Conjecture was proposed by the German mathematician Christian Goethe Bach in 1742. Its content is as follows: Every even number greater than 2 can be expressed as the sum of two prime numbers."
"This conjecture was first mentioned in a letter he wrote to the famous mathematician Euler. It has a history of nearly 300 years, but it has never been solved. At the same time, because of its very simple expression and quite profound connotation, it has become one of the most famous unsolved problems in the field of number theory, known as the crown jewel of number theory."
"In the past, the best result on Goldbach Conjecture was the 1+2 form proved by Mr. Chen Jingrun, a famous Chinese mathematician in the last century, also known as Chen's Theorem in the mathematical community."
"Now, after several decades, Xiao Yi, a famous scholar in my country and a top international mathematician, recently published a paper on proving Goldbach Conjecture. The proof process of his paper has been verified by the authority of the mathematical community and is considered to have completely proved Goldbach Conjecture. From then on, Goldbach Conjecture will officially become a theorem."
"This is a historic step for the history of mathematics, and it also symbolizes that our country has made great achievements in basic mathematics."
"Dean of the Huaguo Institute of Mathematics and Systems Science, academician Chinese Academy of Sciences, and academician Xi Lan commented on this: Xiao Yi's results are a great progress for the entire mathematics community..."
"..."
In a certain house located in Shangjing, on the TV, the announcer of CCTV News was telling the news about Goldbach Conjecture being proven.
The legend of Goldbach Conjecture has a long history in China, and it is closely related to the achievements of Chen Jingrun.
The birth of Chen's Theorem brought a shot in the arm to the Chinese nation Scientific Community at that time, letting the Chinese know that we could also make significant achievements in science.
And now Goldbach Conjecture has been solved in the hands of the Chinese. How can we not let the news media write a big book about it?
The announcer's voice was impassioned and full of excitement.
On the sofa in front of the TV, there was an old woman listening to the sound on the TV. She was holding an old photo album from the last century in her hand. She was speechless but shed a thousand tears.
Until the news ended, she silently picked up the photo album in her hand, looked at the person in the photo, and said softly, "Jingrun, did you see it? Goldbach Conjecture was solved, and the person who solved it was a young genius from China. You don't have to feel sorry."
The person in the photo album is none other than Chen Jingrun, and this old woman is Chen Jingrun's wife, You Kun.
Chen Jingrun remained unmarried for the first half of his life, until he met You Kun in the hospital at the age of 45 and fell in love at first sight. Finally, at the age of 47, he married this wife who was 18 years younger than him.
Unfortunately, sixteen years later, Mr. Chen became ill due to overwork and eventually died of illness at the age of 63.
But for You Kun, these sixteen years have also marked a figure in her heart.
The only sound left in the living room was the news broadcast on the TV, and the people on the sofa fell into deep reminiscence.
She seemed to recall the scene when her husband tried to explain to her what Goldbach Conjecture was and how he studied this problem.
However, for a person like her who knows everything about mathematics, she feels helpless after hearing too much and often interrupts with other words.
And now, she regretted it, why couldn't she have listened to him more?
At that time, I just thought it was ordinary.
Until a moment later, there was a sudden sound of the door opening, and then a middle-aged man ran in and shouted, "Mom! Mom!"
After arriving in the living room, he saw the old woman on the sofa. His eyes lit up and he immediately ran over. "Mom, have you seen the news? Goldbach Conjecture has been proven!"
He said excitedly, "Dad, his lifelong dream has finally come true!"
The old woman raised her head at this time, glanced at her and her husband's only son, and said with a straight face, "How old are you to be so frizzy?"
"Aren't you excited for my dad!" The son cried out his injustice. At this time, he sharply noticed the twinkling light in the corner of his mother's eyes, and immediately said, "Look, you are crying, and you are talking about me."
"And here, you are still holding a photo of my dad!" The son chuckled, "You are so old, and you are still so sensational."
"You're still retorting, aren't you? Are you itchy?" The old woman wiped her eyes and glared at her son.
"Okay, okay, I won't argue with you." The son stopped arguing with his mother, and then said, "I just heard from Uncle Xi that Xiao Yi will be invited to come here to give Goldbach Conjecture's report. Will you go and see it then?"
The old woman looked at the old photo frame in her hand. After being silent for a long time, she finally smiled and said, "Go, of course, and by the way, take Dad with you."
With the review committee of "Annals of Mathematics" announcing the conclusion of the paper Xiao Yi Goldbach Conjecture, the entire mathematics community once again entered into a carnival.
Likewise, the whole world has expressed great concern about this.
After all, Goldbach Conjecture's reputation around the world is a very big problem, whether in China or in other countries.
Who makes the description of this problem very simple? As long as you can understand odd and even numbers, as well as prime and composite numbers, you can understand the meaning of this conjecture.
All of a sudden, all major media outlets published headlines about this.
"The mathematical genius from China once again proves the world's difficult problems: Goldbach Conjecture!""
"The Fierce Tiger of the Empire won the crown jewel of number theory today!""
"Less than half a year later, Xiao Yi made another huge breakthrough: all even numbers greater than 2 can be expressed as the sum of two prime numbers!"
Different headlines, but the same content, litter various news portals.
Similarly, discussions are becoming increasingly popular on various online platforms.
Some people are discussing how difficult it is to prove Goldbach Conjecture - of course, those discussing this are basically the crowd; others are discussing what kind of impact Goldbach Conjecture's conclusion will have on the mathematical world. However, this cannot be said to have any impact, because neither the conclusion of Twin Prime Conjecture nor the conclusion of Goldbach Conjecture can help mathematicians solve other problems.
The most critical value of this type of conjectures lies in the new theories or methods invented by mathematicians in order to prove them. As for the value of the conclusions, they are not that high.
This is why problems like Goldbach Conjecture are quite well-known outside the mathematics community, but they are not included in the Millennium Mathematics Problems like Riemann Hypothesis.
Of course, this does not prevent it from proving that Goldbach Conjecture is still awesome.
In any case, this can be regarded as fulfilling the purpose of pure mathematics that has absolutely no application value, right?
In addition to these two discussion groups, there is another group that is strongly opposed by civilian mathematicians.
Twin Prime Conjecture and Goldbach Conjecture are the hardest-hit areas of civil science. Now that these two problems have been solved, how can those civil sciences and mathematicians accept it?
So these people came out one after another claiming that they were the real certifiers.
But anyone with a discerning eye can see that this is their last ditch effort.
And these civilian mathematicians cannot affect Xiao Yi at this time.
Different from the excitement in the entire mathematics world, even though the whole world is basically discussing itself now, Xiao Yi is quite leisurely during this period. He goes to class every day with nothing to do, and then uses the rest of the time to study a little bit about Theoretical Physics.
With both Twin Prime Conjecture and Goldbach Conjecture solved by him, he has not yet made a decision on what problem to study next, and he has not yet found a problem that can arouse his interest.
Riemann Hypothesis is a good option, but unfortunately after a little research, he can confirm that it will take a lot of effort to solve this problem.
After all, Riemann Hypothesis, at least, is probably a problem that can be judged as a high-value problem by the [Ruthless Continuous Study] BUFF. If you want to solve it, I am afraid there is still a long way to go.
In addition to these things, he also served as the thesis "advisor" for three roommates.
As for the price...
"Father!"
"Father! I have a problem. What do you think should be done to solve it?"
Song Ziyang respectfully handed the draft paper to Xiao Yi and asked.
"Yeah." Xiao Yi nodded with satisfaction at this title. After taking the draft paper, he looked at it and asked, "Tell me, what problem did you encounter?"
Song Ziyang said, "I tried to use the Mountain Road Lemma to prove the existence of the solution, but I encountered some difficulties when verifying PS condition. Specifically... I am not sure how to prove the boundedness and convergence of the function sequence."
Xiao Yi nodded slightly, turned the draft paper in his hand to another page, and continued reading.
The topic studied by Song Ziyang is [Research on the Existence of Solutions to Nonlinear Elliptic Equations Based on Critical Point Theory], which is mainly related to Functional Analysis and involves many aspects such as variational method, Sobolev space and critical point theory.
It's a good subject, but it's difficult enough for a graduate student.
After reading the contents on the scratch paper, he stretched out his hand and said, "Pen."
"Oh!"
Song Ziyang rushed to write, as if he was asking for advice humbly.
After taking the pen, Xiao Yi wrote an equation on the scratch paper: [Δu+V(x)u=f(x, u)].
"I'll simply give you an example using this nonlinear elliptic equation."
When guiding them, Xiao Yi never solves the problem directly, but abstracts the problem and then solves it with examples.
It's up to them whether they can figure out how to do it.
"First, let's review the application conditions of the Mountain Road Lemma. In this problem, the functional we consider is I(u)=1/2∫Ω(|u|^2+V(x)u^2)dx∫ΩF(x, u)dx, where F(x, u) is the original function of f(x, u)."
"In order to apply the Mountain Road Lemma, we need to verify two key points: one is that the functional I(u) satisfies the geometric conditions, and the other is that it satisfies PS condition."
"The first geometric condition, please verify it first."
Without giving a direct answer, Xiao Yi tested him a little first.
Song Ziyang nodded, quickly got another scratch paper and pen, and began to verify. Soon he came to the conclusion. "There exists p greater than 0 and e∈H01(Ω), such that when ||u||=p, I(u)>0, and I(e) is less than 0."
Xiao Yi nodded, which shows that Song Ziyang's basic skills are quite good.
"Very good, then let's look at PS condition. That is, if {un}H01(Ω) satisfies I(un) to be bounded and I′(un)→0, then we need to prove that {un} has a strongly convergent subsequence in H01(Ω)."
"First, using I(un) bounded, we know..."
As Xiao Yi's guidance began, he also showed Song Ziyang step by step how to prove the boundedness and convergence of function sequences.
Finally, Song Ziyang suddenly realized. "That's it! I understand!"
"Just understand." Xiao Yi smiled and handed back the pen and scratch paper, "Then continue studying your problem."
"Okay, foster father!" Song Ziyang responded repeatedly.
Xiao Yi nodded with satisfaction again.
The relationship in the boys' dormitory is how it should be!
"It seems like I have the talent to teach students."
Recalling the guidance he gave them during this period, he couldn't help but think about it.
At this time, Ye Cheng came over and said, "Hey, Brother Xiao is giving guidance to Ziyang again."
Xiao Yi rolled his eyes. "You kid, you were the most excited person to call me foster father."
"Hey! Who told us to finish the paper?" Ye Cheng made a face.
His paper on Algebraic Geometry has been completed, and it has also been submitted to a SCI in the second district. It has entered the reviewer review stage and is very promising to be accepted.
He remembered that when he first asked for advice from Xiao Yi, the "adopted father" was so loud that he called him a "kid", but now he has become "Brother Xiao" again.
I'm too lazy to get to know this guy.
Xiao Yi shook his head, and then planned to read the Theoretical Physics paper he was reading before.
However, at this moment, his cell phone rang.
I took a look and saw that it was a call from Professor Liu Bin.
After connecting the phone, he heard Liu Bin's voice from the other side. "Xiao Yi, are you free to come to the academy now? Academician Xun Yong from Mathematics Research Institute is here, specially looking for you."
Xiao Yi was stunned, Academician Xun Yong?
This is the academician who went to the United States with him to attend the Princeton annual mathematics conference at the beginning of the year.
He said, "I know, I will come right away."
He left the dormitory and went to the college, and soon saw Academician Xun Yong in their dean's office.
"Long time no see, Xiao Yi."
After meeting, Xun Yong smiled and said hello to Xiao Yi.
Xiao Yi also nodded and said with a smile, "Academician Xun, long time no see, why are you here?"
He had a pretty good opinion of Academician Xun, after all, he had specially accompanied him on his trip abroad.
Moreover, Academician Xun is also very strong in academic ability, and it is easy to chat with him.
Xun Yong smiled and said, "Can't you guess this? Of course it is for Goldbach Conjecture's proof."
"You should also know how important Goldbach Conjecture is in our country, so whether it is the government or our domestic mathematics community, they are very much looking forward to you giving a lecture."
"I am here this time to invite you to Shangjing and give a report about Goldbach Conjecture."
"And the location of the report meeting is-"
"Great Hall of the People."
Xiao Yi was immediately shocked.
What the hell?
Open a report at Great Hall of the People?
Others in the office were also stunned.
There are quite a few people in this office. In addition to Xiao Yi and Xun Yong, there are nine other people, such as Professor Liu Bin. Of course, they also include the deans of their colleges, department heads and other professors. Academician Hu is also here.
It is an honor to give an academic report in Great Hall of the People.
"Don't be too surprised, don't underestimate the influence of Goldbach Conjecture. It is expected that nearly tens of thousands of people will come to participate in the report, and your lecture hall will basically be arranged in an auditorium with ten thousand people."
Xun Yong smiled and said, "How about it? Are you going?"
At this time, their dean next to him also said, "Xiao Yi, it's not long before you graduate. You still have a graduation defense. I can make a decision and let this Goldbach Conjecture report be your graduation defense. What do you think?"
Xun Yong's eyes lit up, he clapped his hands and said, "This is a good idea. When the time comes, the banner will say: Goldbach Conjecture Certification Report and Xiao Yi Undergraduate Graduation Defense Meeting."
The effect is full.
Xiao Yi was suddenly sweating profusely.
Good guy, a defense meeting with nearly tens of thousands of people watching it?
Don't be so exaggerated!
There may even be more than tens of thousands of people. Once the live broadcast room is opened, God knows how many netizens will be attracted to join in the fun.
It's exciting just thinking about it.
It's just... well, looking at so many pairs of expectant eyes, what else can he say?
What's more, he also wanted to experience the feeling of reporting in Great Hall of the People.
Finally, he spread his hands and said, "It all depends on the arrangements of the teachers and leaders. After all, I am just an ordinary student."
Everyone burst out laughing, and the office was filled with a happy atmosphere.
After the report was confirmed, Xun Yong immediately sent the news back to Shangjing.
So almost that afternoon, the report that Xiao Yi would hold Goldbach Conjecture at Great Hall of the People immediately spread throughout the country and instantly ignited the mood of the people across the country.
For many people of the older generation, this mathematical problem is still fresh in their memory because they read the reportage "Goldbach Conjecture" written by Xu Chi. Especially the node at which this reportage was published had a huge impact on the history of thought, culture, and science and technology in China.
Therefore, it goes without saying that the excitement in the hearts of these older generations when they heard the news was needless to say.
Young people are relatively more concerned about the fact that Xiao Yi's report was held at Great Hall of the People.
Even, according to the news, this report is also Xiao Yi's graduation defense. Completing this report is equivalent to completing his undergraduate degree.
This immediately made the younger generation even more amazed.
As a result, when online reservations were opened to qualify for this report, the influx of people directly paralyzed the reservation website, so that the reservation time had to be postponed.
In the end, Chinese Mathematical Association, the Institute of Mathematics and Systems Science, and relevant government departments, who served as the organizers of this report, made requirements for the application conditions. Applications must be based on ID cards and cannot be changed. Those with mathematics-related experience are given priority.
Of course, participation is completely free.
But things were like this, as the reservation qualifications were opened again, they were still gone in an instant.
So much so that #did you grab it? #This hot search has directly reached the top of the hot search list.
Those who grabbed it were delighted, while those who didn't could only sigh, saying that they could only watch it in the live broadcast room.
Some people also asked why the remaining 4,000 places were not released.
Naturally, these places are reserved for relevant experts in academia, as well as leaders. Especially among these leaders, there are some old people who were familiar with Mr. Chen Jingrun.
They were also very interested in this report.
In this way, with such an atmosphere brewing, the time is gradually approaching the day when the report officially begins!