August 10th.

Li Mu, who had already boarded the plane, quietly waited for takeoff.

Suddenly, a message popped up on the phone.

Yun Rongshang sent it.

is a picture of an airport.

Yun Rongshang: [I've already boarded the plane, I'm about to leave]

Li Mu also took a photo of the airport outside the window and sent it: [(photo.jpg) I was also on the plane. 】

Yun Rongshang: [Eh, where are you going?] 】

Li Mu: [Go to Beijing to attend a math conference]

Yun Rongshang: [Does it mean that you are coming to Beijing?] Damn, I'm at Shangjing International Airport right now, but the plane is about to take off, otherwise I'll be able to see the last of us. 】

Li Mu: [I'll see you again next year.] 】

Yun Rongshang: [That's what I said, when you come here next year, you must tell me, senior sister, I'll explore the way for you here.] 】

Li Mu: [uh...... Is there a possibility that you are going to call me senior when the time comes? 】

Yun Rongshang: [??? Why? 】

Li Mu: [Because I am studying for a doctorate, you are studying for a master's degree, and in a sense, I am a doctorate, so I am older than you in terms of degree, and you have to call me a senior]

Yun Rongshang: [Junior Brother, Younger Brother, Younger Brother]

Li Mu: [Vertical middle finger .jpg]

Yun Rongshang: [Don't say it, my plane is about to take off, see you in half a year]

Li Mu: [See you in half a year]

Putting down the phone, the corners of Li Mu's mouth curled slightly.

Recalling his reaction after telling Yun Rongshang that he was going to Oxford that day at the amusement park, he couldn't help but laugh.

Of course, no matter what, being in a foreign country, if you can have people you know, it is indeed a lucky thing.

Shaking his head, he didn't think much more, and his mind returned to the twin prime conjecture.

The inspiration he got from the pattern of a cup last night gave him the light to prove the twin prime conjecture.

A finite field, also known as a Galois domain, is a domain with only a finite number of elements, for example, it can be simply understood that there are only five numbers in this domain: 1, 2, 3, 4, and 5, while in this finite field, 4+3=2.

It looks more similar to the base system, but the difference is quite large, because no matter how many times it loops, it will eventually loop inside the elements contained in this domain.

"The feature number of the finite domain must be a certain prime number p, so the prime domain it contains is isomorphic to Zp, if F is a finite domain with the feature p, then the number of elements in F is p^n......"

Li Mu's heart was thinking.

"This allows the prime number to be anchored......"

"That's right, prime polynomial!"

This term flashed in his mind, and Li Mu's eyes suddenly lit up.

The flash of inspiration made him can't help but write.

As soon as he said it, he immediately took out the Parker 51 and scratch paper from his bag, opened the small table, and began to write according to the ideas in his mind.

Whenever this kind of moment, his thinking is like a spring of ten thousand flowers, and he can come out of any place.

There were a lot of ideas in his mind in an instant, and with the ability to multitask, he started to deduce from three angles at the same time, and his hands habitually deduced from the fourth angle.

When thinking about problems, he always feels awkward when he doesn't write something in his hand.

In this way, after a long time, the plane was about to take off, and the stewardess came to his side and reminded: "Sir, please put away the small table, we are about to take off." ”

"Oh, okay."

Li Mu quickly came back to his senses this time, nodded, and put away the pen.

It's just that the corners of his mouth are slightly upturned.

The deduction that had just taken place had allowed him to find the right path again.

"On the basis of finite fields and prime polynomials, it seems that the circle method has become difficult to integrate, but if you combine the circle method and the finite field first, it will be relatively much easier."

Li Mu put away his own small table and thought in his heart.

The circle method is the most commonly used technique in modern number theory, and it is very good at dealing with prime numbers.

For example, its application in Goldbach's conjecture is very extensive.

Mathematicians are constantly changing the circle method to solve these problems related to prime numbers.

And now, he is kind of thinking like this.

It's just that his idea is more difficult to implement.

The combination of the circular method and finite fields is technically demanding.

Of course, this is relative to others, and for Li Mu, it doesn't seem to be difficult.

Even in his mind, there is already a relevant deduction.

This idea of combining the two methods also made him feel a little emotional.

Although mathematics has been refined into many parts, there are many related to algebra alone, such as algebraic geometry, algebraic topology, algebraic number theory, and so on.

But there also seems to be an invisible line between these branches of mathematics, and it seems that there is a possibility of unification when they are connected.

It's like the grand unifying theory in mathematics: the Langlands Program, which is the purpose.

The physics community seeks to unify the four fundamental forces in order to explain all physical phenomena.

The Langlands Program, on the other hand, attempts to link number theory, algebraic geometry, and group representation theory to achieve the unity of these three important branches of mathematics.

This problem is of great significance to the mathematical community, so since the Langlands program was proposed, many mathematicians have made important contributions to it, and have been awarded the Fields Medal for it.

But how long is it until the realization of the Langlands Program?

Li Mu didn't know.

But if his method can be successful, it can be regarded as a help in the realization of the Langlands program.

……

The plane streaked across the sky and finally landed at Shangjing International Airport.

Dragging the suitcase, Li Mu walked out of the airport, and then saw Lin Yao standing at the pick-up gate, looking around, and finally saw him, so he smiled and beckoned to him.

"Professor Lin."

Li Mu walked up and greeted him.

Lin Yao was also invited to this academic summit of Chinese mathematics and also gave a report, so he also flew to Beijing from Shanghai today.

"Well, let's go, the math club has contracted a pick-up and drop-off vehicle, let's go and wait in the car."

Lin Yao didn't talk nonsense, and directly took Li Mu to the pick-up point.

The contracted vehicle was a commercial van, and there were already quite a few people sitting on it.

All of them are domestic mathematicians.

It's just that after Li Mu got in the car, he felt a little abrupt.

As for where the abruptness is......

He felt it carefully.

Not......

It seems like he's just a young man?

(End of chapter)