The Science Fiction World of Xueba

"Okay, it's getting late now, if you have nothing to do, go back and rest." x

Pang Xuelin glanced at Tomoko and said calmly.

A weeping expression appeared on Tomoko's face: "Professor Pang, don't you even give me a chance to warm the bed?"

While speaking, Sophon slowly approached Pang Xuelin!

"stop!"

Pang Xuelin couldn't help shivering, and said seriously: "Okay, Sophon, don't blame me for taking you back into the system space if you make such a fuss again!"

Sophon gave Pang Xuelin a blank look, and said, "Professor Pang, don't I have anything to do with you?"

Pang Xuelin said: "It's so late, what else do you have?"

Tomoko smiled and said, "Didn't you say you want me to prove the Hail conjecture? I've got it done!"

After finishing speaking, Sophon took out a roll of manuscript paper from her white collar.

Pang Xuelin was slightly taken aback, and subconsciously took the manuscript paper that was still warm from Tomoko's hand.

Pang Xuelin flipped through two pages, raised his eyes, and saw Sophon still standing there, looking at him with a smile, and said, "You still don't leave."

"I want to wait until you finish reading it before leaving!"

"I can't finish reading tonight, and I'll give you an answer in two days."

"Hmph, just leave! A man who doesn't understand style!" x

Tomoko pouted, stomped her feet, and walked to the window with her skirt lifted.

She opened the window, waved at Pang Xuelin, and jumped out of the tenth floor.

Pang Xuelin was startled, and hurried to the window, only to see a black shadow sliding down the outer wall of the hotel like a gecko, and quickly disappeared into the corner of the street.

Pang Xuelin breathed a sigh of relief, and then returned to the desk, turned the manuscript paper to the first page again, and read it.

Time passed by every minute and every second.

Sophon's paper proving the Hail Conjecture is only seven or eight pages long.

But Pang Xuelin read these seven or eight pages for more than two hours.

It wasn't until nearly midnight that Pang Xuelin recovered from his thoughts.

"I didn't expect that Sophon's conjecture was really proved by Sophon, and it turned out to be so ingenious."

"And in the process of proof, the shadow of Ponzi's geometric theory can be faintly seen, but the entire theoretical framework seems to be more delicate and detailed."

Pang Xuelin buried his head in thought.

I don't know whether the proof process of this conjecture is already in the sophon database, or she came up with it herself.

If it's already in the database, it's okay to say, but if she came up with it herself, it's a bit scary.

An artificial intelligence, if it has the ability of self-evolution in the technical field,

In this case, there is almost no difference from normal life, and even civilization can be developed independently.

"System, do Sophons have the ability to learn and evolve by themselves?"

Pang Xuelin thought.

"Currently not available!"

"What does it mean not to have it for the time being?" Pang Xuelin was slightly taken aback: "Then when will she be able to have it?"

"This needs to be slowly explored by the host in the future."

""

Pang Xuelin was speechless.

The system is always like this. When encountering sensitive issues, they say half and hide half, and sometimes they simply pretend to be dead.

However, the hail conjecture is not something Sophon can solve on his own initiative, otherwise Pang Xuelin suspects that one day, she might really become a super intelligent life.

Pang Xuelin shook his head, driving these messy thoughts out of his brain.

When he read Sophon's paper just now, he always felt as if he had overlooked something, but he couldn't figure out what it was.

He is going to go through the paper again to see if there are any omissions

Time passed unconsciously, half an hour later, Pang Xuelin turned the paper to the fourth page.

Lemma 5: There is a natural number q, if qb1od3qbnodn, 1, 2, and 3 are all prime numbers, according to the remainder theorem, there is a unique positive integer solution less than 12k for given b1, b2bk, q.

Pang Xuelin frowned, this lemma gave him an inexplicable sense of familiarity.

"Prime numbers, etae fundamental groups, dual Abelian schemes, congruent numbers, Galois cohomology, torus adee points"

Various concepts kept flashing through Pang Xuelin's mind.

Pang Xuelin stood up and walked back and forth in the room thinking.

From time to time, he would go back to his desk, pick up the manuscript paper and do calculations.

In Ponzi geometry theory, the theory of imaginary quadratic expansion has four parts.

One, define the modulus function of the congruence subgroup of s2 on the upper half complex plane. Second, the imaginary quadratic expansion fq. Third, the fixed points of subgroups of g2 and q in the upper half complex plane determined by the ideal of f. 4. Elliptic curves and their automorphic rings and n-order points

What if we extend this theory to higher dimensions?

One, define the automorphic function of the arithmetic subgroup of the algebraic group g on the bounded symmetric field h. Second, the algebraic number field. 3. The fixed point of the discrete subgroup of gq in h. Four, the e structure of the exchange cluster, the hodge structure, the otif structure

In this way, the nature of the Shimura cluster can be determined through the basic functions of the Galois group!

Pang Xuelin's eyes lit up: "So it is!"

He found a way to prove the twin primes conjecture!

Pang Xuelin thought about it, and first sent a message to Deligne on his mobile phone, telling him that he had a sudden inspiration and that he was not going to visit the Princeton Institute for Advanced Study on Sunday.

Then, he left a message for Tomoko, telling her not to disturb him.

Afterwards, Pang Xuelin excitedly returned to the desk, found out the manuscript paper, and began to calculate quickly.

After coming out of the world of Wandering Earth, whether it is the world of rural teachers, the world of whale songs, or the world of dark forest, excluding his hibernation time, it adds up to nearly thirty years, and he hasn't felt such excitement for a long time.

Time passed by, and before I knew it, it was already bright outside.

There was already a thick pile of manuscript paper on the desk.

The sun gradually rose to the middle, and the sunlight shone through the curtains on the desk, interlacing light and shadow.

Pang Xuelin didn't notice anything.

It wasn't until the sun was setting that Pang Xuelin stood up exhaustedly. The proof process had been written for nearly two-thirds, but Pang Xuelin felt that his brain was exhausted to the extreme.

"Pity!"

Pang Xuelin was a little bit regretful. He originally wanted to prove the twin prime number conjecture before the report meeting, but he couldn't catch up no matter the time or energy.

"If it really doesn't work, we can only wait for tomorrow's report meeting to deduce it on the spot!"

Pang Xuelin thought for a while, put on a coat, and prepared to go out for a meal, and then went back to the hotel to sleep, so he could recharge his energy!