Ultimate Scholar

Along with the sound of raindrops, a voice suddenly came from the side: "It seems that All Souls College has unknowingly attracted a wandering soul."

This voice brought Li Mu back from his thoughts.

He raised his head and looked at the speaker.

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

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

"Uh... May I ask who you are?"

Li Mu asked suspiciously.

"John Weeks."

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

Li Mu was taken aback, this academy?

He thought for a while, and suddenly realized, "This is... All Souls College?"

"Yes."

The old man nodded.

All Souls College, ALL SOULS.

This college can be regarded as a very special college in Oxford University, because there are less than 100 teachers and students in this college.

Of course, the main reason is that All Souls College does not accept undergraduates, and even the number of graduate students is extremely limited. It is said that there are currently less than 10 graduate students in All Souls College, and the rest are all professors.

Li Mu was suddenly surprised, he had come here unknowingly.

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

"Dean Weeks, hello." Li Mu called out respectfully.

John Weeks smiled, then looked up at the rain as well.

"A rainy day is always a joy, isn't it?"

"However, nowadays, very few people appreciate rainy days."

"Probably they're all busy."

John Weekes shook his head slightly.

"I'm glad that there are young people like you who also have such preferences."

Li Mu's face became a little 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 just now, he had already caught the inspiration, and now he is planning to go back.

John Weeks smiled: "I see what problem you seemed 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 been very interested in mathematics, but unfortunately I am not capable enough."

"Well... Actually it's 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 was also a person who came out of Oxford University, including his knowledge of mathematics. Research also started at Oxford University."

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

"Maybe it was that period of time 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 well-known and memorized." Li Mu said.

"Haha, it's not a matter of strong memorization, it's just that I know something about it. As I told you just now, I'm also more interested in mathematics." John Weeks laughed.

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

Li Mu nodded with a smile: "I think I will, and...it probably won't be long."

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

"Just at that moment."

"For a moment?" John Weeks was taken aback, then laughed: "It seems that you and our All Souls College are quite destined."

"Maybe at that moment, all the souls in the world helped you catch that bundle of inspiration."

"So—are you interested in joining All Souls?"

Li Mu was taken aback for a moment, but he didn't expect that John Weeks wanted to invite him to join Wannings College after talking for a long time

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

"Wrong, we welcome all the best talents 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 suddenly laughed: "If my mentor, Professor Wiles, knows that you invited me, I doubt he will come to you for a duel."

John Weeks said with a smile: "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, "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 the two old men fought, it might even make the headlines of The Times.

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

"Okay." John Weeks sighed regretfully: "But anyway, on behalf of All Souls College, you are always welcome."

"Then, I won't bother you to continue to create miracles in mathematics. Goodbye."

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

"thank you."

Li Mu nodded solemnly.

It's just this last sentence...

Li Mu felt quite strange.

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

Ahem, reject homophonic stalks.

...

The rain seemed to be getting heavier and heavier. When Li Mu returned to the dormitory, the rain had changed from the droplets when he set out to silver needles pouring down.

As if celebrating something.

Probably for the imminent birth of truth? \b\b

However, Li Mu didn't care about this in his mind, but was filled with the inspiration he had grasped.

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

It seems that a sense of burnout has risen to the heart, making people want to be lazy.

But Li Mu quickly dismissed it.

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

Turning on the lamp, the arrangement on the table was exactly the same as before he set off.

Picking up the pen, Li Mu did not feel hesitant at this time, but became confident.

First, close your eyes and give an instruction in your mind, "Start, ultimate overclocking!"

The ultimate overclocking at the end, let it play all its value here.

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

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

In an instant, the inspiration that flashed before was easily captured by Li Mu at this time, and he began to deduce it later.

"From the boundaries of modular forms to the rapport of K-theory..."

"Yes, the difference is this step!"

"L-function!"

"Use the L-function to construct the relationship between the elliptic curve and the modular form, and finally form the combination of the sieve method and the circular method in the K-modular form!"

The corner of Li Mu's mouth twitched slightly.

"Professor Wiles will probably be very happy if he finds out..."

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

The Fermat's last theorem proved by Wiles at the beginning was because he solved the Taniyama-Shimura conjecture. It can be said that the Taniyama-Shimura conjecture is the last piece of the puzzle proved by Fermat's last theorem, and there are two puzzles in front of it. They are Model's conjecture and Pell's conjecture. These two conjectures have been proved by Faltins and Ribet before, and Wiles is the final successor to complete the game.

The reason why the Taniyama-Shimura conjecture is so important is because it unifies the modular form and the elliptic curve. This is arguably the most important achievement for the Langlands program, and it 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 achievements, integrating K-theory, modular forms and elliptic curves together!

The progress of the Langlands program will be elevated again in his achievements!

...

Time flies.

After Li Mu had the inspiration, the next step was boring calculations.

Of course, after having a brain computer, he never disliked such things.

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

For three full weeks, Li Mu was working on this final work. In the end, he completed two papers. The total content of the papers totaled more than 150 pages—of course, the content on each page , are necessary.

Back then, Wiles's thesis 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 brain computer can be directly connected to the computer, so when he enters text, he can directly input it to the computer through the brain computer, which also provides a lot of convenience.

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

In this way, around August 6, he finally sorted out the paper completely.

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

Two papers, both mean groundbreaking results for the mathematics community.

"One last check, it's almost done."

"Well...let's post it on arxiv first."

Just as he was thinking this in his heart, the mobile phone next to him suddenly rang, and it was a call from Andrew Wiles.

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

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

And they will fly to Italy at 4 o'clock in the afternoon, and now they have to go to the airport in advance.

As for going to Italy, it is naturally to participate in the conference organized by the ICTP International Center for Theoretical Physics.

It will start on August 8th, and of course they have to arrive at least two days in advance.

"I see! I'll be right there!"

"Don't worry, I'll drive directly to the door of your dormitory in half an hour, and I'll just 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, took a look at my thesis, forget it, I'll upload it to arxiv later when I'm on the road.

Now he has 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 went up quickly, put the suitcase behind 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.

Of course Wiles next to him noticed his movements, and he was of course familiar with the arxiv interface, so he couldn't help but ask, "Huh? New paper?"

Li Mu nodded.

"Could it be about the Goldbach conjecture?" Wiles shook his head quickly after finishing speaking, and said, "Forget it, don't tell me, I'd better wait and see on the news."

Li Mu: "..."

Wiles smiled: "Just take it as a surprise in Italy."

This time he went to Italy, mainly to accompany Li Mu, otherwise, he didn't have much research on theoretical physics, and as for the part about mathematics, he didn't get too interested.

"All right."

Now that Wiles has said so, Li Mu will naturally not refuse.

I just hope... Wiles won't be overly surprised by then.

...