Scholar's Advanced Technological System

Outside of the gymnasium.

A young, average-height man was running on the road with a shoulder bag on his back. Judging by the eye bags on his face, he probably didn’t sleep well last night.

However, regardless of the circumstances, he was late. Thus, he was stopped by the security guard at the gymnasium entrance.

“Hey, the gym isn’t open to the public for the next two days. Go exercise somewhere else.”

Li Mo looked at the security guard and spoke anxiously.

“I’m not here to exercise, I’m here for the report!”

The security guard gave his colleague a strange look. He then looked at the student.

“For the report? The report has been going on for two hours, you’re late.”

Li Mo: “Please, bro, let me in.”

The security guard reached out his hand.

“Where is your invitation letter?”

“Invitation letter?” Li Mo paused for a second and said, “What invitation letter?”

“All of the guests need an invitation letter. We can’t just let anyone in.” The guard said impatiently, “If you don’t have an invitation letter, don’t waste my time. Even if I let you in, you won’t be able to pass the security check. The security is strict here, so don’t waste your time.”

“But I’m Academician Lu’s student!”

Li Mo blushed.

After all, he wasn’t technically his “student”; it was only a verbal agreement between him and Lu Zhou.

If this wasn’t an emergency, he wouldn’t have pulled out the “God Lu” card.

But this was a dire situation.

“You?” The guard looked at him in disbelief and asked, “What year are you in?”

Li Mo said, “First year… But that’s not the point! The point is that I’m in a hurry! I’m already two hours late, if I don’t go in now, I will miss it—”

Suddenly, he heard a familiar voice come from behind.

“Why are you standing at the entrance?”

“Professor Chen?”

Even though Professor Chen was usually low-key, he was poached from the Yan University mathematics center by Professor Lu Zhou. Thus, he was quite well-known on the Jin Ling University campus.

Chen Yang looked at the two security guards and spoke.

“Do you need me?”

“No, sorry.”

Chen Yang looked at Li Mo and frowned.

“Go inside, the report is almost over.”

“Oh, right! Okay, thanks.”

Li Mo snapped back to reality and followed Professor Chen.

Li Mo glared at the two security guards with a proud look on his face.

Li Mo spoke to Chen Yang while following him.

“Um… Professor Chen.”

Chen Yang: “What?”

Li Mo asked awkwardly, “Did you wake up late as well?”

“I didn’t wake up late.” Chen Yang shook his head and said, “I didn’t sleep.”

“Didn’t sleep?!”

Chen Yang nodded and spoke.

“Well, there are still things I don’t understand about the paper… So I spent some time reading it.”

What do you mean spent some time?

The preprint has been out for two weeks!

Even though Li Mo wanted to say this out loud, he restrained himself.

The two soon walked to the security check entrance.

Professor Chen explained the situation to the security guards. After Li Mo showed his student ID and signed a registration form, he was let inside with Professor Chen.

Before coming inside, Li Mo was a little worried about not being able to find a seat. However, after he came inside, he realized the situation was different from what he had imagined.

The seats in the back row were only half full, and most of the people had left their seats. They were sitting on the ground, near the front.

Li Mo and Chen Yang sat down near the back. Li Mo quickly took out his notebook and looked at the stage.

However, after watching for a while, he couldn’t understand what Lu Zhou was writing at all.

“Grand Unified Theory?” Li Mo said as he stared at the calculations on the whiteboard. He frowned and murmured, “No… doesn’t seem like it.”

“That’s right.” Chen Yang nodded and contemplated for a second. He then said, “The explanation of the Grand Unified Theory should be over by now.

“So what he’s writing now is…

“It should be the Grothendieck’s standard conjectures.”

Chen Yang looked at the whiteboards and squinted. He was a little shocked.

He gulped as he muttered to himself, “I knew it! My guess was correct… It is the Grothendieck’s standard conjectures!”

Li Mo gulped and spoke.

“… What guess?”

Chen Yang: “Remember Corollary 2 of the Grand Unified Theory?”

Li Mo tried to remember what he read last night. He instinctively replied, “The cohomology of any coefficient can be calculated by Z-coefficient!”

“Correct!”

Chen Yang nodded. Unlike his usual flat and emotionless tone, he spoke with excitement and astonishment; his voice even trembled.

“… This is one of the core inferences of the Grand Unified Theory of algebraic geometry! We can directly deduce that the mapping L^(n−2i): Ai(X)→An−i(X) is isomorphic to (0 ≤i≤n/2)!”

When Li Mo heard this, his pupils expanded.

Even though his academic knowledge and experience were low, nor did he know how to deduce the theorem, but as an IMO gold medalist, due to his extracurricular reading, he knew what the theorem meant.

What Professor Chen was talking about, was the generalization of the Hard Lefschetz theorem!

The first part of Grothendieck’s standard conjectures, the Lefschetz conjecture!

“… Professor Lu is amazing,” Chen Yang said as he stared at the person writing on stage. He was fascinated. “Last night, I thought this might happen, and this morning I saw some clues…”

Chen Yang spent the entire night thinking about the possibility of this. However, this was a piece of cake for Lu Zhou.

Lu Zhou’s marker glided smoothly on the whiteboard. No matter what the obstacle was, they were no match for his marker.

Nothing could stop him.

When Lu Zhou wrote down the last line of calculation, everything looked so natural for him.

[… By summarizing the above.]

[The mapping of L^(n−2i): Ai(X)→An−i(X) is isomorphic to (0≤i≤n/2)]

[Hence, the Lefschetz standard conjecture holds!]

His pen finally stopped.

The second he wrote down the last letter, he heard a commotion in the venue.

Professor Sarnak couldn’t help but look at his watch.

“37 minutes!”

His voice was drowned in the crowd.

He looked at the stage in disbelief as he muttered to himself.

“Jesus Christ, is he even human?”