Early morning.

A car was parked downstairs in the laboratory building of the Golden University of Mathematics.

The driver who helped him take out the suitcase from the trunk said thank you, and Han Mengqi, who dragged the suitcase, went upstairs. However, just as she was about to push open the door and walk into the office, she was grabbed by a hand stretched out next to her.

"Zimmer?"

Looking at his junior brother with a look of surprise, Han Mengqi asked suspiciously.

"What's the matter?"

Glancing at the closed door of the office, Zimmer said with a serious face.

"Master has been in retreat for two days, let's not disturb him."

"Two days?!" Han Mengqi was suddenly startled, widened his glasses and asked, "He, he stayed in the office for two days?" What about eating? Didn't you come out of the meal? ”

"The meal was still eaten," Zimmer said embarrassedly, "I went to the cafeteria to bring it for him...... No, I just brought breakfast over, and I'm going to go to the library for self-study in a while...... Want to be together? ”

"Oh, it's okay to eat...... Han Mengqi breathed a sigh of relief, and suddenly glared and said, "By the way, who allowed you to call Master?" ”

Zimmer: "......? ”

Realizing that his reaction was a little sudden, Han Mengqi, who came back to his senses, coughed dryly and explained: "I mean, this is the school, and you are still studying for an undergraduate, so it's not good for other students to hear it." ”

Feeling that it seemed to make sense to say this, Zimmer suddenly scratched the back of his head in embarrassment, admitted his mistake and said, "Ah...... I'm sorry, but I didn't think about it. ”

Seeing that this little junior brother changed his mistake when he knew it, Han Mengqi nodded with satisfaction.

"Knowing that mistakes can be corrected, and good is great...... Don't do that next time. ”

With these words, she put her right hand on the doorknob of the office, carefully pushed the door open and walked in.

Closing the door of the office, looking at the eye bags on Lu Zhou's face, Han Mengqi, who was inexplicably distressed in his heart, whispered.

"Master...... I am back. ”

The pen in his hand stopped, and Lu Zhou, who breathed a sigh of relief, put aside the thick stack of papers in his hand, looked at Han Mengqi who was standing at the door and said with a smile.

"Mongie? Are they all back? ”

Han Mengqi nodded and said with a hum.

"I just got off the plane."

"Why don't you call me when you get off the plane, I can let Wang Peng pick you up...... By the way, why did you bring all your suitcases here and not go back home? ”

"I'll be back in a minute."

Seeing that she had something to say, Lu Zhou probably guessed what she wanted to ask, so he said with a smile.

"How? The trip to North America went well, right? ”

"Very smooth...... Han Mengqi nodded, and then added in a whisper, "I also received an award by the way." ”

By the way, it was okay to receive a prize.

is worthy of being his own apprentice.

Hearing this familiar speech, Lu Zhou smiled embarrassedly.

"Oh? What awards? ”

"Young Scholar Progress Award ......"

In fact, in addition to the awards awarded to her by the International Federation of Materials Research Societies, there are a series of things including attending a dinner at the White House and meeting the president of the American Materials Science Society.

This series of dazzling operations made her, a little transparent who has almost "no achievements" in the field of materials science except for the Young Scholar Progress Award, can't help but be a little flattered.

In fact, the reason why she ran to Jindae's side non-stop after returning to China was that in addition to sharing the good news of her award with her master as soon as possible, she also had a stomach of questions to ask him.

However, I didn't expect to see such a worrying look as soon as I entered the door......

"Master......"

"What's wrong?"

Han Mengqi said with a worried face: "I heard that you haven't slept for two days. ”

"Two days?" Lu Zhou was slightly stunned, looked at the stack of more than 500 pages of paper paper on the table, and frowned, "It's been so long......

Han Mengqi: "I think it's better for you to take a break." ”

"It's okay, it's only been two days, and it's not my highest record yet," Lu Zhou smiled and continued, "I'll go to rest after a while." ”

"Mail? If you don't tell you the content, I'll help you get back. ”

With a yawn, Lu Zhou waved his hand and picked up the breakfast that was placed on the corner of the table.

"No, I'm going to write the email myself, and I can't explain this thing for a while. If you really want to edit, I'm afraid that by the time you understand what I want to express, it will already be dark. ”

"What the hell is the problem......

"ABC conjecture."

“…… ABC conjecture?! Hearing Lu Zhou's concise answer, Han Mengqi was instantly stunned. She was still a little unconvinced before, and said with a confused face, "How are you ...... Suddenly went to study this issue? ”

If she remembers correctly, her master should be busy carrying people to the fire.

And he seems to have said more than once that he will not study pure mathematics in the past few years......

"Life is always full of surprises...... I didn't expect it either," Lu Zhou coughed dryly, "Anyway, for some special reasons, I'm working on this right now." Don't worry about it here, go back and put your luggage, take a good rest, and report here again after reversing the jet lag. ”

was blasted out of the office by Lu Zhou, and Han Mengqi, who was carrying a suitcase, stood in the corridor outside the office with a confused expression.

After hesitating for a moment, she finally took out her phone, flipped through the address book, and dialed a number.

The phone rang twice and it was connected.

The familiar voice soon came from the other end.

"Mongie? Are you back already? I was about to call you. ”

"Well, I just got off the plane...... That, sister, you better hurry up and come to Jindae's side. ”

"Kim Dae? What's going on with Kim Dae? ”

"Brother-in-law, he doesn't seem to have slept for two days...... I'm a little worried that he won't be able to bear it, anyway, if you don't have time to come, at least give him a phone call and persuade him. ”

"Haven't slept in two days?! Are you with him now? I'll be right here! ”

The voice of getting up from the office chair came, and the phone quickly hung up.

With a sigh of relief, Han Mengqi stuffed the phone back into her pocket.

Glancing back at the office, she silently muttered something in her mind.

Master, the apprentice can only help you get here!

But don't die suddenly......

……

Sudden death is not possible.

I haven't slept for two days.

If Lu Zhou remembers correctly, the highest record for staying up late was that he didn't sleep for seven consecutive days, and then slept for two days or three days in a row to make up for his sleep.

At that time, it seemed that when he was in Princeton, he studied the existence of the Goldbach conjecture or the solution of the NS equation, and Lu Zhou couldn't remember it very clearly, after all, staying up late was a common thing for him.

He only remembered the most powerful one, it felt like he was floating on the clouds, and he couldn't tell whether he was in the sky or the earth.

But it was this feeling of extreme concentration that allowed him to completely break through the bottleneck and sublimate to a completely new field. Although he also knew that he was one step away from the "fairy world" at that time......

"Hey, the years are not forgiving, and I am starting to get old...... Not as good as I was in my twenties. ”

After eating, Lu Zhou, who gradually felt a trace of sleepiness in his heart, extracted a tube of energy potion from the system space, unscrewed the cap of the bottle and swallowed it slowly.

A wisp of mint-like coolness spread down his throat to the anterior lobe of his brain, and after a stirring, he soon felt the fatigue crawling all over his body completely fade away like a tide.

Reinvigorated, Lu Zhou picked up the stack of papers from the corner of the desk, flipped to the last few pages where he had marked himself, turned on the computer and began to edit the email.

If he was still a little unsure about Satoshi's identity before, now he can basically be sure that this guy is Shinichi Mochizuki himself. (Note 1)

This paper on the proof of the ABC conjecture is clearly a revised version of the paper that Shinichi Mochizuki published on the Internet before.

Because it is an unpublished version, neither the abstract nor the title, Lu Zhou probably saw more than 20 pages before he reacted, this paper is a little familiar, when he saw more than 30 pages, he was basically sure, this is the "Far Abelian Geometry" and the "intercosmic theory" that only a few people can understand in the legend.

In fact, the core idea of Shinichi Mochizuki's proof of the ABC conjecture can be summed up simply, that is, to transform this abstract problem into a more abstract elliptic curve—that is, a special kind of binary cubic equation.

This transformation process is actually not difficult to understand, just need to relate each "ABC equation" to the same image and the elliptic curve where the x-axis intersects a, b, and the origin. After this transformation, the ABC conjecture is proved to be equivalent to proving that there is a certain unequal relationship between the two magnitudes of the constructed elliptic curve.

This transformation of an algebraic problem into a geometric problem allows it to move from a simple number theory problem to a review problem related to geometry, calculus, and other fields, allowing more mathematical tools to be used to solve the problem.

From this proof idea alone, this set of operations is actually very classic, and it was a similar method used by Wiles to prove the core part of Fermat's theorem.

Unfortunately, while the proven idea was remarkable, when it was translated into a paper of more than 500 pages, everything became less friendly.

Many people have even commented that it is more difficult to fully understand what "Far Abelian Geometry" and "Intercosmic Theory" are talking about than to solve the ABC conjecture itself.

Professor Caligali, a well-known number theorist, even bluntly stated that it was a "complete disaster".

In Lu Zhou's memory, about a few years ago, Schultz and his partner had a trip to D-Kyoto and had a face-to-face discussion with Shinichi Mochizuki about the issue, but the final result turned into an argument between the two sides.

Schultz complained that he was standing on a never-ending Escher ladder, while Shinichi Mochizuki insisted that he "didn't understand anything at all" and that he "got even the basic definitions wrong."

As for Lu Zhou......

He sees the same thing as Schultz.

[I've already read the paper.] 】

[Although it has undergone some modifications compared to the previous version, in my opinion, there are still large vulnerabilities.] In particular, in Corollary 3.12, in order to understand the relationship between the volume quantities of a set, it is necessary to establish at least a correlation between the measurement criteria of the volume in each different space, but in the map you gave, the "scales" are locally compatible with each other......]

【…… Sum up. 】

Your proof is wrong. 】

-

(Note 1: Shinichi Mochizuki denied this in an interview, this is just a well-known meme in the mathematical world, and the plot should not be taken seriously.) In addition, don't forget to give Professor Lu a comparison with mathematics, physics and chemistry~~~)

Lamp pen