Along with the sound of raindrops, a voice suddenly came from the side: "It seems that Wanling Academy has unknowingly attracted a wandering soul."
This voice brought Li Mu out of his thoughts.
He raised his head and looked at the speaker.
This is a kind-looking old man, holding a cane in one hand and an umbrella in the other. He is wearing a well-fitting suit, which makes him look like an old gentleman.
What is even more surprising is that he has smooth white hair, unlike most British men who are bald.
"Uh... who are you?"
Li Mu asked doubtfully.
"John Wicks."
The old man smiled and said: "He is also the dean of this college."
Li Mu was stunned, this college?
He thought for a while and suddenly realized, "This is... Wanling Academy?"
"Yes."
The old man nodded.
All Souls College, that is, ALL SOULS.
This college is considered a very special college at Oxford University, because there are less than a hundred teachers and students in this college.
Of course, the main reason is that Wanling College does not accept undergraduate students, and even the number of graduate students 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 that he had arrived here without knowing it.
And the old man in front of me is still the dean of this college...
"Dean Weeks, hello." Li Mu called out with respect.
John Weeks smiled, then raised his head and looked at the rain in the sky.
"Rainy days are always nice, aren't they?"
"But nowadays, very few people appreciate rainy days."
"Maybe they are all busy."
John Weeks shook his head slightly.
"What makes me happy is that there are young people like you who also have such preferences."
Li Mu's face looked 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 planning to go back.
John Weeks smiled: "I think you seemed to be thinking about something 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 been very interested in mathematics, but it is a pity that I am not capable."
"Well...it's actually Goldbach's conjecture. You should have heard of it."
"Goldbach's conjecture... I have indeed heard of this." John Weeks said with a smile: "Christian Goldbach at that time also graduated from Oxford University, including his research on mathematics. It also started at Oxford University.”
"The enviable thing is that he only studied at Oxford University for a short period of time, and his teacher happened to be Isaac Newton."
"Perhaps it was that period that brought him an interest in mathematics, so later he proposed Goldbach's conjecture."
"If I remember correctly, any even number greater than 2 is equal to the sum of two prime numbers, right?"
"You are really knowledgeable and have a strong memory." Li Mu said.
"Haha, I can't say that I am knowledgeable and memorized. I just have some understanding of this. As I told you just now, I am also more interested in mathematics." John Weeks laughed.
"Of course, considering that Goldbach was once from Oxford, if you can solve Goldbach's conjecture for us, it can be regarded as continuing the legacy left by Oxford University hundreds of years ago."
Li Mu smiled and nodded: "I think I can, and... it probably won't be long."
Seeing Li Mu's expression, John Weeks laughed: "Oh? It seems that you have found the answer?"
"Just at that moment."
"For a moment?" John Weeks was startled, and then laughed: "It seems that you and our All Souls Academy are quite destined."
"Perhaps at that moment, all the souls in the world helped you catch that burst of inspiration."
"So - are you interested in joining All Souls Academy?"
Li Mu was stunned. He didn't expect that John Weeks actually wanted to invite him to join Wanning College after talking for a long time.
"Join Wanling College? But I heard that Wanling College's main research direction is literature and history?"
"Wrong, we welcome all the best people to join, like Simon Downers, you should know, he is a Fields Medal winner and a member of our All Souls Academy."
John Weeks shook his head and said: "And your excellence deserves our welcome."
Li Mu was silent for a moment, and finally laughed suddenly: "If my mentor, Professor Wiles, knew that you invited me, I doubt he would come to you for a duel."
John Weeks smiled and said: "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 and said, "Here, look, as long as he dares to come, I will hit him with this cane."
As soon as he finished speaking, both of them couldn't help laughing.
If these two old men got into a fight, it would probably make the headlines in The Times.
Of course, Li Mu finally shook his head and declined the proposal of John Weeks: "Anyway, I'm very grateful for your invitation, but I still don't have this idea for the time being. After all, Professor Wiles treats me quite well." of."
"Okay." John Weeks sighed regretfully: "But no matter what, on behalf of All Souls Academy, I always welcome your arrival."
"Then, I won't disturb you and continue to create miracles in mathematics. See you soon."
"Of course, at the end I also want to give you a message, may the force be with you."
"thank you."
Li Mu nodded solemnly.
But this last sentence...
Li Mu felt strange.
Don't be too presumptuous, it's of no use?
Ahem, reject the homophones.
…
The rain seemed to be getting heavier and heavier. When Li Mu returned to the dormitory building, the rain had changed from water droplets when he set out to like pouring silver needles.
As if they were celebrating something.
Probably for the coming birth of truth?
However, Li Mu's mind was not concerned about this, but was filled with the inspiration he had grasped.
After returning to the dormitory, the warmth in the room also made him feel comfortable.
There seems to be a sense of weariness rising in the heart, making people want to be lazy.
However, Li Mu quickly abandoned it.
After changing out of his slightly wet clothes, taking a comfortable hot bath, and then changing into another set of clothes, Li Mu sat at the desk again.
Turning on the desk lamp, the arrangement on the table was exactly the same as before he set out.
Picking up the pen, Li Mu felt no hesitation at this time, but became confident.
First, I closed my eyes and gave the command in my mind, "Start, ultimate overclocking!"
The final ultimate overclocking, let it play all its value here.
"Ultimate overclocking has started, remaining time: 1 hour, 56 minutes and 32 seconds."
As the sound of the system sounded, my mind began to feel heated, and at the same time it brought about more agile thinking.
In an instant, the inspiration that had flashed before was easily captured by Li Mu, and he began to deduce it.
"From the boundary of modular form to the harmony of K theory..."
"Yes, that's the only thing missing!"
"L-Function!"
"Use the L-function to construct the relationship between the elliptic curve and the modular form, and finally form a combination of the sieve method and the circle method in the K-modular form!"
The corners of Li Mu's mouth curled up slightly.
"Professor Wiles would probably be very happy if he found out..."
Because, in this step, he made use of the Taniyama-Shimura conjecture that Wiles had originally proved, and made it a more significant leap forward.
The reason why Wiles proved Fermat's last theorem was because he solved the Taniyama-Shimura conjecture. It can be said that the Taniyama-Shimura conjecture is the last piece of the puzzle to prove Fermat's last theorem, and there are two puzzle pieces in front of it. They are Model's conjecture and Pell's conjecture. Both of these conjectures were proved by Faltings and Ribitt before, and Wiles was the final successor to complete the game.
The reason why the Taniyama-Shimura conjecture is so important is that it unifies modular forms and elliptic curves. This can be said to be the most important achievement of the Langlands Program and is of great significance to the mathematical community.
That's why Wiles received such a great honor that the Fields Medal awarded him a special award.
And now Li Mu is continuing to develop Wiles' original results, integrating K theory, modular form and elliptic curves!
The progress of the Langlands Program will be further enhanced by his achievements!
…
Time flew by.
After Li Mu had the inspiration, the next step was boring calculations.
Of course, after possessing a brain computer, he would never dislike such a thing.
Probably the only problem is that there is too much to write.
For three whole weeks, Li Mu was working on this final work. In the end, he completed two papers. The total content added up to more than 150 pages - of course, the content on each page , are all necessary.
Wiles's paper proving Fermat's Last Theorem was more than 130 pages long. At that time, computers were not as convenient as they are now.
The only good thing is that Li Mu's current mental computer can be directly connected to the computer, so when he enters text, he can directly input it into the computer through the mental computer, which also provides a lot of convenience.
Otherwise, he would probably have to type a paper of more than 150 pages on the computer for several days.
In this way, around August 6, he finally completed the paper.
"Self-consistent properties of elliptic curves under K-mode", and "K-mode forms of sieve method and circle method and Goldbach's conjecture".
Two papers, both of which mean breakthrough results for the mathematical community.
"One last check and that's it."
"Well... let's post it on arxiv first."
Just as he was thinking this, the cell phone next to him suddenly rang. It was Andrew Wiles calling.
"Hey, don't forget our flight this afternoon. It's time to get ready to leave."
Li Mu suddenly came back to his senses and looked at the time. It was already eleven o'clock in the morning.
They will take a flight to Italy at 4 p.m., and now they have to go to the airport in advance.
As for going to Italy, it was naturally to attend the conference organized by ICTP International Center for Theoretical Physics.
It will start on August 8th, so of course they have to arrive at least two days in advance.
"I know! I'll be there soon!"
"Don't worry, I will drive directly to the door of your dormitory in half an hour and pick you up then."
Li Mu: "..."
Well, driving in Oxford University is the right of professors only.
Just like the lawn on campus, generally only professors can step on it.
"OK."
I hung up the phone and took a look at my paper. Forget it, I'll upload it to arxiv later when I'm on the road.
Now he still had to pack his suitcase.
…
Half an hour later.
Andrew Wiles' car stopped at the door of the dormitory building.
"boarding!"
Wiles waved to Li Mu.
Li Mu quickly went up, put the suitcase in the trunk, and then sat in the front row.
After the car started, Li Mu took out his laptop from the backpack he was carrying and began to upload his two papers to arxiv.
Wiles, who was next to him, certainly noticed his movements. Of course he was quite familiar with the arxiv interface, so he couldn't help but ask, "Huh? Is it a new paper?"
Li Mu nodded.
"Is it about Goldbach's conjecture?" Wiles just finished speaking, then quickly shook his head and said, "Forget it, you'd better not tell me, I'll just wait and see it on the news."
Li Mu: "..."
Wiles smiled: "Just think of it as a surprise over in Italy."
This time he went to Italy mainly to accompany Li Mu. Otherwise, he usually did not do much research on theoretical physics. As for the mathematics part, he was not too interested.
"All right."
Since Wiles said so, Li Mu naturally would not refuse.
Just hope... Wiles won't feel that the surprise is too much.
…
(End of chapter)
