ICTP International Centre for Theoretical Physics is located in Trieste, Italy.

Trieste is one of the wealthiest regions in Italy and one of the most prosperous port cities in Europe.

When Li Mu sat on the plane and looked down on the city from above, he could also feel the atmosphere of this port city.

Soon after, the plane landed at Friuli-Venice Giulia Airport, where he disembarked with Andrew Wiles.

The ICTP conference will be held at the Trieste Convention Center, so the hotel they will stay at is also the Joyce Hotel near the conference center.

I arrived at the Joyce Hotel by car, and just after getting out of the car, a car happened to arrive here, and then an old man got out of the car.

After the old man got out of the car, he greeted Li Mu and the two of them: "Hey, Li Mu, Andrew!" ”

The two of them looked back in a daze, and they were both surprised.

"Professor Qiu!"

This old man is none other than Qiu Chengtong.

Qiu Chengtong walked over to them with a smile: "It's really a coincidence that we can meet here." ”

Andrew smiled and asked, "You're also here for the meeting the day after tomorrow?" ”

"Of course, aren't all the people here here to attend this meeting?" Qiu Chengtong said: "Of course, the most important thing is that I came here to accompany my students. ”

He turned around and beckoned to a young man who had just gotten out of the car behind him: "Xu Ziyang, come." ”

The young man was about to pick up his luggage from the trunk, and when he heard the greeting from his mentor, he quickly walked over, "Professor, what's the matter?" ”

"Let me introduce you, this is Andrew Wiles, the proover of Fermat's theorem."

Xu Ziyang was immediately surprised, and turned his head to look at Andrew Wiles, who was known to everyone in the mathematical world, and immediately shouted respectfully: "Professor Wiles, it's a pleasure to meet you!" ”

Andrew Wiles smiled and nodded at him: "Hello, I've heard of Ling's name, the paper you published in the Annals of Mathematics before, I remember it was about the smallest hypersurface in a closed manifold, right?" Very good, keep up the good work. ”

"Thank you, Professor Wiles!"

Xu Ziyang nodded again and again, and then Yu Guang also noticed the other young man next to him, and thought about it, it is estimated that he is also a student of Wiles.

Eh...... It seems that he is also Chinese?

Wait a minute...... How does it sound familiar?

He couldn't help but take one more look, and then his eyes widened and exclaimed, "Damn, Faun!" ”

Qiu Chengtong next to him also smiled at this time: "This is Li Mu, didn't you say that he is your idol?" Now it's time to see a real person. ”

Xu Ziyang was already very excited, and shook hands with Li Mu when he went up.

"Faun, I've finally seen you!"

And then there are all kinds of worship words, like a kind of successful performance of star chasing.

In the end, he even asked Li Mu to sign his name in the notebook.

Li Mu couldn't cry or laugh for a while.

And so, after a pleasantry of pleasantries, they entered the hotel together.

"You're saying that your student has the potential to win this year's Ramanujan Award, that's why they came here?"

On the way to the hotel room, Wiles asked Yau Chengtong.

Qiu Chengtong nodded: "Yes, of course, this is not the only part, I can be regarded as a theoretical physicist, and it is normal to come to such a conference." ”

As he spoke, he shook his head regretfully: "It's a pity, the Dirac Medal has nothing to do with me." ”

Wiles nodded and said, "That's just as well. ”

The ICTP Dirac Medal has a rule that it is not awarded to Fields Medal, Nobel Prize, or Wolf Medal winners.

When Qiu Chengtong began to get involved in theoretical physics, it was already after he won the Fields Medal and the Wolf Medal, so he naturally had no chance.

Otherwise, with Qiu Chengtong's achievements in theoretical physics, it would have been enough to win this award.

"However, the least controversial of the people who can get the Dirac Medal this year is probably Li Mu."

Qiu Chengtong turned his head to look at Li Mu next to him, and patted him on the shoulder with a smile: "The dimensional force you have discovered is like a nuclear bomb to the entire theoretical physics community, I think I can probably congratulate you in advance." ”

Li Mu waved his hand: "This matter is still uncertain." ”

Qiu Chengtong smiled: "If it is not issued to you, then there is a problem with the ICTP." ”

"There is also the Ramanujan Award, you are also on the list of candidates, Xiao Xu, you have a very strong opponent."

Xu Ziyang waved his hand again and again: "I don't dare to rob the god of faun, the god of animal husbandry is much more qualified than me." ”

Qiu Chengtong pointed at him with a smile, and didn't say anything in the end, after all, it is true that Li Mubi is more qualified for this award than anyone.

This can't say that Xu Ziyang is unproductive, but he has to praise himself for being self-aware.

In this way, while chatting, they also went to the hotel floor and ended the discussion.

The rest of the time is to wait for the official start of the meeting on August 8.

However, on the evening of August 6, the two papers submitted by Li Mu to Arxiv were also officially published.

Normally, the papers submitted on arxiv are generally subject to the review of the website, which is probably similar to the plagiarism check, although the pre-printed website is not an official journal, but there are also requirements for the repetition rate, at least in the process of website review, there can be no obvious plagiarism, and such a review will generally take more than a day.

Of course, this kind of review is aimed at ordinary authors, but this is not the case for people like Li Mu, who are well-known scholars in the academic world and can quickly pass when they publish papers on preprint sites such as Arxiv.

Therefore, the paper submitted by Li Mu at noon was approved a few hours later.

……

Merton College, University of Oxford.

Lucas Licht's office.

Although it was already dark, Licht still did not leave the office, still studying the Goldbach conjecture.

Although for him, studying Goldbach's conjecture was just an interest, and it was not something that had to be done.

However, as Maslow's hierarchy of needs theory says, when all of a person's basic needs are no longer lacking, that is, physiological needs, safety needs, social needs, and respect needs have been satisfied, self-realization becomes the last need.

So for Licht, proving Goldbach's conjecture is a kind of self-realization for him.

But it's a bit difficult to do that.

"Is it really impossible to do it in the field of number theory?"

Crumpling up the scratch paper and throwing it into the trash can next to it, Licht sighed.

After so much research, there has never been any progress, which also makes him a little bored.

It has been almost three months since he ended his cooperation with Li Mu, which reminds him of what Li Mu said to him at the beginning.

"From the point of view of algebraic geometry......"

After saying a word, Licht's heart began to waver.

Maybe he should give up his insistence?

"I just don't know where Li Mu has studied, and how far he is from success."

"Forget it, let's go and see how other people's research goes."

Patting his head, he was going to expand his mind, so he turned on the computer and expertly boarded the arxiv.

Suddenly, he noticed that the website notified the author he was interested in had published a paper.

One glance, "Huh? It's actually Li Mufa's paper? ”

For so long, the academic community has basically formed a common understanding, that is, Li Mu usually does not publish papers casually, but once they are published, they will inevitably have a very significant impact on the academic community.

Either it's groundbreaking or it's disruptive.

So what will Li Mu publish this time?

Could it be......

With anticipation and a little hesitation, Li Hejian stepped in.

Then he froze.

Li Muxin published two papers, and the title of one of them made him feel unbelievable.

K-Mode Forms of Sieve and Circle Methods and Goldbach's Conjecture.

"Goth...... Bach...... Guess! ”

"Did he really do it......?!"

他几乎是擦了擦眼睛，然后又重新看了一遍这个标题。

At this time, the content of the first half finally attracted his attention.

"Wait! K-die form for sieve and round method! This seems to be the method he said at the beginning, and he succeeded? ”

"There is another paper, "Self-Consistent Properties of Elliptic Curves under K-Mode"? Elliptic curves? ”

Licht's heart was suddenly shocked.

That's when he realized that the paper was the key.

He hurriedly downloaded both papers, and then looked at the paper on elliptic curves first.

The two papers add up to more than 150 pages, and this one is the longest, with more than 100 pages, nearly twice as long as the other paper.

And then, the summary part shocked him.

"Using the elliptic curve under the L-function, it can be perfectly combined in the K-mode form?! Even buy Karma! ”

With this abstract alone, he was able to see the importance of the paper.

Even if his study of algebraic geometry was not as profound as that of number theory, he was equally clear about the purpose of Langlands' program.

And the results revealed in this summary section are obviously extremely important for the Langlands Program!

He looked at it with shock.

In this way, his heart became more and more surprised, and at the same time, the whole person completely sank into this paper.

Forget the passage of time.

……

The next day, in the morning.

当办公室的门被打开，伊莎·格罗夫纳走了进来。

Seeing that there seemed to be no one in the office, she smiled, "It seems that I was the first to arrive today." ”

But when she got closer, she suddenly noticed that there was a person lying on the professor's desk, and if she looked closely, wow, isn't that the professor?!

She was so shocked that she thought something was wrong, so she hurriedly ran over and shouted, "Professor! Wake up, Professor! ”

When she got closer, she heard Licht's snoring, and she was relieved.

Otherwise, she would have thought that something had happened.

When I looked at it again, the monitor was still on, and it showed a paper that was more than 100 pages long, and it was stuck at more than 70 pages.

"Professor, did you fall asleep reading the paper here last night?"

She couldn't help but guess.

And at this time, Licht's body suddenly moved, probably because Isha had just shouted a few times and was about to wake up.

Seeing this, Isha shouted a few more words, and Licht quickly sat up.

He rubbed his eyes, and finally picked up his glasses from the table next to him, put them on, and looked at Isha, "Hmm, yes...... Isha? What time is it? It should be late, right? Didn't you go back a long time ago? ”

Isha couldn't help but laugh: "Professor, it's the next day, eight o'clock in the morning on August 7th!" You slept in the office last night. ”

Licht was stunned for a moment.

Has it been a night?

He didn't even realize it!

"What paper were you reading last night? It made you watch it for so long. ”

Isha asked curiously, pointing to the contents of the monitor at this time.

"Papers?" Licht reacted immediately, and immediately looked at the monitor again: "Yes! Thesis! I haven't finished reading it yet! ”

He saw it late at night yesterday, but he fell asleep when he looked at it, and now when he looks at the monitor, he actually sees more than 70 pages!

No, he has to finish it today!

Seeing the professor like this, Isha became even more curious and asked again, "What is this paper?" Aren't you going to take another good rest? ”

"You can't rest, this paper is so important." Licht shook his head, remembering the more than seventy pages he had read, and then exclaimed, "This paper is absolutely of great significance to the mathematical community!" ”

"Li Mu, it's still that Li Mu."

Isa was stunned for a moment: "You mean to say that this paper was written by Li Mu?" ”

"Yes."

Licht nodded, and then said with a wry smile: "Probably, he has really solved the Goldbach conjecture, and he was in the right direction." ”

"What?!"

Isa's eyes widened suddenly, Li Mu, has already solved Goldbach's conjecture?!

……

(End of chapter)