The top student must be diligent.

Chapter 155 Go to the Great Hall of the People to give a report!

"The Goldbach conjecture was proposed by German mathematician Christian Goldbach in 1742 and states that 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, due to its very simple statement and quite profound connotation, it has become one of the most famous unsolved problems in the field of number theory and is known as the jewel in the crown of number theory."

"In the past, the best result on the Goldbach conjecture was the 1+2 form proved by Mr. Chen Jingrun, a famous mathematician in my country in the last century, which is also known as Chen's theorem in the mathematical community."

"Now, several decades later, Xiao Yi, a famous Chinese scholar and world-class mathematician, recently published a paper proving the Goldbach conjecture. The proof of his paper has been verified by an authority in the mathematical community and is considered to have completely proved the Goldbach conjecture. From now on, the Goldbach conjecture will officially become a theorem."

"This is a historic step in the history of mathematics, and it also symbolizes that our country has made great achievements in basic mathematics."

"The president of the Chinese Academy of Mathematics and Systems Science, academician Xi Lan, an academician of the Chinese Academy of Sciences, commented: Xiao Yi's achievement is a great progress in the entire mathematics community..."

"..."

In an apartment in Shangjing, on TV, the CCTV news announcer was telling the news about the proof of the Goldbach conjecture.

The legend of Goldbach's conjecture has a long history in China, which is closely related to the achievements made by Chen Jingrun.

The birth of Chen's theorem was a shot in the arm for the Chinese scientific community at that time, letting the Chinese people know that they could also make significant scientific achievements.

And now that the Goldbach conjecture has been solved by the Chinese, how could the news media not make a big fuss about it?

The announcer's voice was generous, passionate and full of excitement.

On the sofa in front of the TV, there was an old lady listening to the sound on TV, holding an old photo album from the last century in her hands, speechless but with tears in her eyes.

When 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? The Goldbach conjecture has been solved, and the person who solved it is a young genius from our country. You don't have to feel regretful."

The person in the photo album was Chen Jingrun, and the old woman was Chen Jingrun’s wife, You Kun.

Chen Jingrun remained unmarried for the first half of his life until he was 45 years old, when he met You Kun in the hospital 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 died of illness due to overwork at the age of 63.

But for You Kun, these sixteen years have also left a shadow in her heart.

The only sound in the living room was the news broadcast on TV, and the person on the sofa was lost in deep reminiscence.

She seemed to recall the scene when her husband tried to explain to her what the Goldbach conjecture was and how he studied this problem.

However, for her, who knows almost nothing about mathematics, she felt helpless after hearing it too much and would often interrupt with other words.

And now, she regretted it again. Why couldn't she listen to him more?

At that time, I thought it was normal.

A moment later, there was a sound of a door opening, and then a middle-aged man ran in and shouted, "Mom! Mom!"

When he came to the living room, he saw the old woman on the sofa. His eyes lit up and he ran over immediately: "Mom, have you seen the news? The Goldbach conjecture has been proved!"

He said excitedly: "Dad's 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 stern face: "You are so old and still so irritable."

"I'm so excited for my dad!" The son cried out, and at this time he noticed the light flashing in the corners of his mother's eyes, and immediately said, "Look at you, you're crying, and you're still blaming me."

"And here, you're holding my dad's photo!" The son chuckled, "You're so old, and you're still being so sentimental."

"You're talking back again, aren't you? Are you itching for trouble?" 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 said, "I just heard Uncle Xi say that Xiao Yi will be invited here to give a report on the Goldbach conjecture. Do you want to go and take a look?"

The old woman looked at the old photo frame in her hand, and after a long silence, she finally smiled and said, "Go, of course. By the way, take your father with you."

……

With the announcement of the conclusion of Xiao Yi's paper on the Goldbach conjecture by the review committee of the Annals of Mathematics, the entire mathematics community once again entered into a carnival.

Likewise, the whole world has shown great concern about this.

After all, the Goldbach conjecture is a very famous problem all over the world, whether in China or in other countries.

The description of this problem is 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 news with this as the headline.

"A mathematical genius from China once again proves the world's difficult problem: Goldbach's conjecture!"

《The Empire's Desperate Tiger 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, flood various news portals.

Similarly, the discussion on various online platforms is also heating up.

Some people are discussing how difficult it is to prove the Goldbach conjecture - of course, those who are discussing this are basically just onlookers; others are discussing what kind of impact the conclusion of the Goldbach conjecture will have on the mathematical community. However, this cannot be said to have any impact, because neither the conclusion of the twin prime conjecture nor the conclusion of the Goldbach conjecture can help mathematicians solve any other problems.

The most critical value of this type of conjecture lies in the new theories or methods invented by mathematicians in the process of proving them. As for the value of the conclusions, it is not that high.

This is also why problems like the Goldbach conjecture are quite well-known even outside the mathematical community, but are not included in the Millennium Mathematical Problems like the Riemann hypothesis.
Of course, this does not prevent the proof of the Goldbach conjecture from being very impressive.

Anyway, this can be considered as practicing the purpose of pure mathematics which has absolutely no practical value, right?
In addition to these two groups discussing the issue, there is another group of amateur mathematicians who strongly oppose it.
The twin prime conjecture and the Goldbach conjecture were the hardest hit areas for amateur scientists. Now that these two problems have been solved, how can those amateur scientists and mathematicians accept it?
So these people came out one after another and claimed that they were the real provers.

However, anyone with a discerning eye could see that this was their last-ditch effort.

And these amateur mathematicians could not influence Xiao Yi at this time.

……

Unlike the entire mathematics community which is in full swing, even though the whole world is basically discussing him now, Xiao Yi has been quite leisurely during this period. He goes to class every day when he has nothing to do, and uses the rest of the time to study some theoretical physics.
Now that he has solved the twin prime conjecture and the Goldbach conjecture, he has not yet decided what problem to study next, and has not yet found a problem that interests him.

The Riemann hypothesis is a good option, but unfortunately, after a little research, he can determine that it will take a lot of effort to solve this problem.

After all, the Riemann hypothesis is at least likely to be judged as a high-value problem by the [Ruthless Continuation] BUFF, and there is probably still a long way to go to solve it.

In addition to these things, he also served as a "mentor" for the thesis of his three roommates.

As for the price...

"Father!"

"Godfather! I have a problem. How do you think I can solve it?"

Song Ziyang respectfully handed the draft paper to Xiao Yi and asked.

"Yeah." Xiao Yi nodded in satisfaction at the title. After taking the draft paper, he started reading it and asked, "Tell me, what problem did you encounter?"

“I tried to use the Mountain Pass Lemma to prove the existence of a solution, but I encountered some difficulties in verifying the PS condition. Specifically… I was not sure how to prove the boundedness and convergence of the function sequence,” Song said.

Xiao Yi nodded slightly, turned the page of the draft paper in his hand again, and continued reading.

The topic that Song Ziyang is researching is [Research on the existence of solutions of nonlinear elliptic equations based on critical point theory], which is mainly in the field of functional analysis and involves many aspects such as variational methods, Sobolev space and critical point theory.

It is a good topic, but its difficulty is at the level of a graduate student.

After reading the contents on the draft paper, he then stretched out his hand and said, "Pen."

"oh oh!"

Song Ziyang quickly put pen to paper, looking humbly eager to learn.

After taking the pen, Xiao Yi wrote down a formula on the draft paper: [Δu+V(x)u=f(x,u)].

"I will 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 by giving examples.

Whether they can figure out a method from it depends on themselves. "First, let's review the application conditions of the mountain pass theorem. 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 Pass Lemma, we need to verify two key points: first, the functional I(u) satisfies the geometric conditions, and second, the PS conditions."

"The first geometric condition, you try to verify it first."

Without giving a direct answer, Xiao Yi tested him a little first.

Song Ziyang nodded, quickly fetched another piece of draft 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 meant that Song Ziyang’s basic skills were quite good.

"Great, then let's look at the PS condition, which is that if {un}H01(Ω) satisfies I(un) is 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 that..."

As Xiao Yi began his guidance, he also showed Song Ziyang step by step how to prove the boundedness and convergence of a function sequence.

Finally, Song Ziyang suddenly realized: "So that's it! I understand!"

"It's OK as long as you understand." Xiao Yi smiled and handed back the pen and draft paper, "Then continue to study your problem."

"Okay, godfather!" Song Ziyang responded repeatedly.

Xiao Yi nodded with satisfaction again.

This is how the relationship in the boys' dormitory should be!

"So it seems that I have a talent for teaching students."

Thinking back to the guidance he had given them during this period, he couldn't help but ponder in his heart.

At this moment, Ye Cheng came over and said, "Hey, Brother Xiao, you are giving guidance to Zi Yang again."

Xiao Yi rolled his eyes: "You kid, you were the one who called me godfather the most excitedly."

"Hey! Who told me that I have already finished my thesis?" Ye Cheng made a face.

His paper on algebraic geometry has been completed and has also been submitted to a zone 2 SCI journal. It has entered the reviewer stage and is very likely to be accepted.

Thinking back to when he asked Xiao Yi for advice, he had called him "godfather" so affectionately, but now he has changed back to "Brother Xiao".

I'm too lazy to bother with this kid.

Xiao Yi shook his head, and then decided to look at 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 answering the phone, he heard Liu Bin's voice from the other end: "Xiao Yi, are you free to come to the college now? Academician Xun Yong from the Institute of Mathematics is here, specifically to see you."

Xiao Yi was stunned. Academician Xun Yong?
This is the academician who went to the United States with him to attend the annual Princeton Mathematics Conference at the beginning of the year.

He said, "I know, I'll be right there."

……

After leaving the dormitory, I went to the college and soon met Academician Xun Yong in their dean's office.

"Long time no see, Xiao Yi."

After meeting, Xun Yong greeted Xiao Yi with a smile.
Xiao Yi also nodded and said with a smile: "Academician Xun, long time no see, why are you here?"

He had a pretty good impression of Academician Xun, after all, he had once accompanied him on a trip abroad.

Moreover, Academician Xun is quite capable in academics and I can have a good chat with him.

Xun Yong smiled and said, "Can't you guess this? Of course it's for the proof of Goldbach's conjecture."

"You should also know how important the Goldbach conjecture is in our country, so both the government and our domestic mathematics community are looking forward to your presentation."

"I came here this time to invite you to Beijing to give a lecture on the Goldbach conjecture."

"And the location of the report meeting is——"

“The Great Hall of the People.”

Xiao Yi was immediately shocked.

What the hell?

Give a report in the Great Hall of the People?

The other people 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, and of course the dean of their college, department heads and other professors. Academician Hu is also here.

Giving an academic report in the Great Hall of the People is truly a great honor.

"Don't be too surprised. Don't underestimate the influence of the Goldbach conjecture. It is expected that nearly 10,000 people will attend the lecture, and your lecture hall will basically be arranged in a large auditorium with 10,000 people."

Xun Yong smiled and said, "How about going or not?"

At this time, their dean said, "Student Xiao Yi, it won't be long before you graduate. You still have a graduation defense. I can make a decision. Let this report on the Goldbach conjecture be your graduation defense. What do you think?"

Xun Yong's eyes lit up, and he clapped his hands and said, "This is a good idea. When the time comes, we'll write on the banner: Goldbach's Conjecture Proof Report and Xiao Yi's Undergraduate Graduation Defense Meeting."

The effect is full.

Xiao Yi was immediately sweating profusely.

Wow, a defense meeting watched by nearly ten thousand people?

Don't be so exaggerated!
There may even be more than tens of thousands of people. Once the live broadcast room is opened, who knows how many netizens will come in to join in the fun.

It's exciting just thinking about it.

It’s just… well, looking at so many expectant eyes, what else can he say?
What's more, he also wanted to experience the feeling of giving a report in the 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 into laughter, and the office was filled with a happy atmosphere.

……

After the report was confirmed, Xun Yong immediately passed the news back to Shangjing.

So almost that afternoon, the news that Xiao Yi would give a report on the Goldbach conjecture in the Great Hall of the People spread throughout the country, instantly igniting the emotions of the people across the country.

For many people of the older generation, they still remember this mathematical problem vividly because they read the reportage "Goldbach's Conjecture" written by Xu Chi. In particular, the time when this reportage was published had a huge impact on China's history of thought, culture, and science and technology.

Therefore, it goes without saying that when these older generations heard the news, they were extremely excited.
Young people were relatively more concerned about the fact that Xiao Yi's report was held in the Great Hall of the People.

In fact, according to the news, this report is also Xiao Yi's graduation defense, and completing this report is equivalent to completing his undergraduate studies.

This immediately amazed the younger generation even more.

As a result, when the online reservation for participation in this report was opened, the influx of people directly paralyzed the reservation website, so that the reservation time had to be postponed.

Finally, the Chinese Mathematical Society, the Institute of Mathematics and Systems Science, and relevant government departments, which hosted this report, made requirements for the application conditions. Applications must be made based on ID cards and no changes can be made. People with mathematics-related experience will be given priority.

Of course, participation is completely free.

But even so, as the reservation qualifications were reopened, they were still gone in an instant.

So much so that #did you get it? # this trending search directly topped the trending search list.

Those who got the tickets were delighted, while those who didn’t could only sigh and say that they would only be able to watch it in the live broadcast room.
Some people also asked why the remaining 4000 places were not released.

These places are naturally reserved for relevant experts in the academic community and leaders, especially among these leaders, there are many elderly people who were familiar with Mr. Chen Jingrun back then.
They were also very interested in this report.

Just like that, as this atmosphere brewed, time gradually approached the day when the report would officially begin!
(End of this chapter)