With the sound of raindrops falling, a person's voice suddenly came from the side: "It seems that the Academy of All Souls has unknowingly attracted a wandering soul to come." ”

This voice brought Li Mu back to his senses from thinking.

He looked up at the person who was speaking.

This is a very kind-looking old man, with a cane in one hand and an umbrella in the other, a well-fitting suit that makes him look like an old gentleman.

What is even more surprising is that he has smooth white hair and is not as bald as most British men.

"Uh...... Who are you? ”

Li Mu asked suspiciously.

"John Weeks."

The old man smiled and said, "He is also the dean of this academy." ”

Li Mu was stunned, this academy?

He thought about it, and suddenly reacted, "This is ...... All Souls College? ”

"Yes."

The old man nodded.

ALL SOULS COLLEGE, I.E. ALL SOULS.

这个学院在牛津大学算得上是一个十分特殊的学院，因为这个学院老师加上学生，都不到一百个人。

Of course, the main reason is that Wanling College does not accept undergraduates, and even if it is a graduate student, the number is extremely limited, it is said that there are currently less than 10 graduate students in Wanling College, and the rest are all professors.

Li Mu was suddenly surprised, and before he knew it, he actually came here.

And the old man in front of him is still the dean of this academy......

"Hello, Dean Wicks." Li Mu shouted with respect.

John Weeks smiled, then looked up at the rain in the sky.

"It's always nice to be in the mood on a rainy day, isn't it?"

"But nowadays, there are very few people who appreciate the rain."

"Probably they're all busy."

John Weeks shook his head slightly.

“让我庆幸的是，还有你这样的年轻人，也有这样的喜好。”

Li Mu's face was slightly embarrassed, "Actually, it's not ......."

He was just really stumped by the problem, so he decided to go out for a walk, but at that moment, he had already caught the inspiration, and now he was already planning to go back.

John Weeks smiled, "I see what you seem to be thinking about just now?" Is it a math problem? ”

"Yes." Li Mu nodded.

"Would you like to talk to me?" John Weeks said: "Although I am an economist, I have always had a great interest in mathematics, but unfortunately I am not very competent. ”

"Hmm...... Actually, it's Goldbach's conjecture, and you've probably heard it. ”

“哥德巴赫猜想啊…… I've heard of that. ”约翰·威克斯笑道：“当年的克里斯蒂安·哥德巴赫，也是从牛津大学走出来的人啊，包括他对数学的研究，也是从牛津大学开始的。 ”

"It is enviable that he was only studying at Oxford University for a short period of time, and his teacher happened to be Isaac Newton."

Perhaps it was that time that brought him an interest in mathematics, and he later came up with the Goldbach conjecture.

"If I'm not mistaken, any even number greater than 2 is equal to the sum of two prime numbers, right?"

"You're really well-read." Li Mudao.

"Haha, it's not that I'm well-read and memorized, but I just know a little bit about this, just like I said to you just now, I'm also more interested in mathematics." John Weeks laughed.

"Of course, considering that Goldbach used to be our Oxforders, if you can solve the Goldbach conjecture for us, it can be regarded as a continuation of the legacy left by Oxford University hundreds of years ago."

Li Mu smiled and nodded: "I think I will, and...... It probably won't be long before that. ”

Seeing Li Mu's expression, John Weeks laughed: "Oh? Looks like you've found the answer? ”

"It was just that moment."

"For a moment?" John Weeks was stunned for a moment, and then laughed: "It seems that you and our Academy of All Souls are quite related." ”

"Maybe in that moment, all the souls in the world helped you grasp that beam of inspiration."

"So- are you interested in joining the Academy of All Souls?"

Li Mu was stunned for a moment, he didn't expect that John Weeks would actually want to invite him to join Wanning College after talking for a long time

"Join the Academy of All Souls? But I heard that the main direction of research at All Souls College is literature and history? ”

"No, we welcome all the best people to join, like Simon Downer, you should know, he's a Fields Medal winner and a member of our House of All Souls."

John Weeks shook his head and said, "And your excellence deserves our welcome." ”

Li Mu was silent for a moment, and finally suddenly laughed: "If my mentor, Professor Wiles, knew about your invitation to me, I doubt that he would come to you to duel." ”

John Weeks laughed, "I'm not afraid of him, as long as you agree, no one can stop you." ”

As he spoke, he raised the cane in his hand, "Well, look, as long as he dares to come, I will beat him with this cane." ”

As soon as he finished speaking, both of them couldn't help but laugh.

If the two old men fought, it would even make the headlines of The Times.

Of course, for John Weeks's proposal, Li Mu finally shook his head and declined: "Anyway, I appreciate your invitation, but I still don't have this idea for the time being, after all, Professor Wiles treats me very well." ”

"Okay." John Weeks sighed regretfully, "But no matter what, on behalf of the Academy of All Souls, I always welcome you. ”

"Then, don't bother you to continue to create miracles in mathematics, goodbye."

"Of course, I also send you a message at the end, may the force be with you."

"Thank you."

Li Mu nodded solemnly.

It's just this last sentence......

Li Mu felt weird.

Don't be too presumptuous, it's useless?

Ahem, refuse the homophonic stalk.

……

The rain seemed to be getting heavier and heavier, and when Li Mu returned to the dormitory building, the rain had already turned from the droplets he set off to like pouring silver needles.

As if they were celebrating what they were doing.

Presumably for the imminent birth of truth?

However, Li Mu's mind did not care about this, but was full of the inspiration he had grasped.

After returning to the dormitory, the warmth in the room also made him feel comfortable for a while.

It was as if a sense of burnout had risen to the top of the mind, making people want to be lazy.

However, Li Mu quickly abandoned it.

After changing out of the slightly wet clothes, taking a comfortable hot bath, and changing into clothes, Li Mu sat down at the desk again.

Turn on the lamp, and the table is exactly the same as it was before he left.

Picking up the pen, Li Mu at this time did not hesitate in his heart, but became confident.

First of all, I closed my eyes and gave the command in my head, "Start, ultimate overclocking!" ”

Finally, for ultimate overclocking, let it get all its value out of here.

"Ultimate overclocking has started, time remaining: 1 hour, 56 minutes, 32 seconds."

As the sound of the system sounded, the mind began to feel hot, and at the same time, it brought more agile thinking.

In an instant, the inspiration that had flashed before was easily captured by Li Mu at this time, and began to be deduced later.

"Crossing the Boundaries of Modular Form to the Harmonious ...... of K-Theory"

"Yes, that's the difference!"

"L-Function!"

"Using the L-function, the correlation between the elliptic curve and the modulus form is constructed, and finally the combination of the sieve method and the circle method under the K-mode form is formed!"

The corners of Li Mu's mouth curled slightly.

"Professor Wiles would probably be very happy if he found out......"

Because, this step of his is to use the Taniyama-Shimura conjecture that Wiles proved at the beginning, and to achieve a more significant leap forward.

It can be said that the Taniyama-Shimura conjecture is the last piece of the puzzle for the proof of Fermat's theorem, and there are two pieces of the puzzle in front of it, namely the Modell conjecture and the Pell conjecture, both of which were previously proved by Faltins and Ribbit, and Wiles is the last person to complete the game.

The reason why the Taniyama-Shimura conjecture is so important is that it unifies the modular form and the elliptic curve, which can be said to be the most important achievement of the Langlands program, and it is of very, extremely important significance to the mathematical community.

That's why Wiles got so much honor that the Fields Medals gave him a special award.

And now Li Mu is continuing to develop the original achievements of Wiles, integrating K theory, modular form and elliptic curve!

The process of the Langlands program will be raised again in his achievements!

……

Time flies.

After Li Mu was inspired, the next thing was boring calculations.

Of course, once he had a mental computer, he would never dislike this kind of thing.

Probably the only problem is that there is too much to write.

For three weeks, Li Mu was working on this final work, and in the end, he completed two papers, all of which added up to more than 150 pages—of course, the content on each page was necessary.

At the beginning, Wiles's paper proving Fermat's theorem was more than 130 pages, and computers were not as convenient as they are now.

The only fortunate thing is that Li Mu's current mind computer can be directly connected to the computer, so when he enters text, he can directly input it to the computer through the mind computer, which also provides a lot of convenience.

Otherwise, he would have to type a paper of more than 150 pages on the computer for several days.

In this way, around August 6, he finally put the paper in order.

"Self-consistent properties of elliptic curves under K-mode", and "K-mode forms of sieve and circle methods and Goldbach's conjecture".

Two papers, both of which meant groundbreaking results for the mathematical community.

"One last check, and it's pretty much it."

"Hmm...... Let's start with arxiv. ”

As soon as he thought this, the mobile phone next to him suddenly rang, and it was Andrew Wiles calling.

"Hey, don't forget our plane this afternoon, it's time to get ready to go."

Li Mu suddenly came back to his senses, looked at the time, and it was already eleven o'clock in the morning.

And they were going to fly to Italy at 4 p.m., and now they have to go to the airport early.

As for going to Italy, of course, I went to attend the conference organized by the International Center for Theoretical Physics (ICTP).

August 8 was about to start, and of course they had to arrive at least two days early.

"I see! I'll be there soon! ”

"Don't worry, in half an hour, I'll drive directly to the door of your dormitory, and I'll pick you up when the time comes."

Li Mu: "......"

Well, driving inside Oxford is a right only for professors.

Just like the lawn on campus, only professors can step on it.

"Okay."

I hung up the phone, glanced at my paper, and forgot it, let's upload it to arxiv when I'm on the way.

Now he'll have to pack his suitcase.

……

Half an hour later.

安德鲁·怀尔斯的车停在了宿舍楼的门口。

"Get in the car!"

Wiles beckoned to Li Mu.

Li Mu quickly went up, put the suitcase behind the trunk, and then sat in the front row.

The car started up, and Li Mu took out his laptop from the backpack he was carrying, and began to upload his two papers to Arxiv.

Of course, Wiles next to him noticed his movements, and of course he was quite familiar with Arxiv's interface, so he couldn't help asking, "Huh?" New papers? ”

Li Mu nodded.

"Is it about the Goldbach conjecture?" As soon as Wiles finished speaking, he quickly shook his head and said, "Forget it, don't tell me, I'll wait to see it on the news." ”

Li Mu: "......"

Wiles smiled: "Just think it's a surprise on the Italian side." ”

This time he went to Italy, mainly to accompany Li Mu, otherwise, he usually did not study theoretical physics, and as for the part about mathematics, he was not too interested.

"Okay."

Since Wiles said so, Li Mu naturally would not refuse.

It's hope...... Wyles won't be oversurprised.

……

(End of chapter)