Chapter 360

At night.

In the apartment, Gu Lu was having a video call with Simon who was far away in Germany.

There is a six-hour time difference between China and Germany.

It is now eleven o'clock in the evening in Yanjing, but it is five o'clock in the afternoon in Simon's place.

Simon's location is the office.

The faint afterglow of the setting sun dimmed Simon's back with a fiery red light.

Simon picked up a cup of coffee, took a sip, and said slowly, "Gu, why did you video call me so late?"

Originally, the time agreed upon by the two was 7pm, which was Simon's time for video chatting at 1pm.

And this time was delayed by a full four hours.

"I met with the two students I just accepted and wasted some time." Gu Lu said with a faint smile.

Simon leaned forward and said, "Student! Gu, have you admitted a student?"

Gu Lu shrugged and smiled, "Of course, I am now a doctoral supervisor in the School of Mathematics at Yan'an University. Of course I have to accept a few doctoral students as students. After all, it is the responsibility of teachers like us to preach, learn, and solve doubts."

"Those two doctoral students must be very lucky to have such a great person like you personally guiding them." Simon laughed.

Gu Lu smiled and said nothing.

Simon then spoke, "Speaking of which, last year, I also admitted two students, but it was a waste of too much energy. Two people were enough for me to keep busy, so I didn't take them away this year."

"If there is an opportunity, we can let each other's students communicate."

He and Gu Lu are now in a cooperative relationship for the time being, so BaB guessed that the situation from that time would not be restored for the time being.

But I can’t get it back, so I can let my disciples get it back!

If his students could defeat Gu Lu's students, Simon would definitely laugh happily.

"Okay, let them communicate if we have the chance." Gu Lu smiled and nodded in agreement.

Gu Lu didn't think as much as Simon thought.

I simply feel that Simon’s students should be among the top among their peers after more than a year of instruction from Simon.

By letting Bao Zi and Chen Mo communicate and learn from him, Bao Zi should be able to learn a lot.

After talking about these irrelevant things, Gu Lu looked serious and started to get down to business.

Gu Lu looked at Simon and said in a solemn tone, "Simon, how is the construction of the project framework going?"

Simon suppressed the smile on his face and said in a helpless tone, "The narrow Hodge conjecture, even if it is just a weakened version of the Hodge conjecture, is still much more difficult than I thought!"

"Gu Lu, if it weren't for the relationship between you and me, I would never play with you in such a big way!"

After in-depth research, Simon found that he still underestimated the difficulty of the narrow Hodge conjecture.

Such a difficult conjecture is simply not something he can challenge at this stage.

Simon felt that it would take at least ten years before they would be able to fight.

"Forget it, stop talking nonsense, just tell me the progress. Don't tell me the progress is zero." Faced with Simon's complaints, Gu Lu remained unmoved.

"How could it be zero? Don't think you are so weak. After all, I am also one of the great geniuses in the field of algebraic geometry!" Simon retorted to Gu Lu.

Although the Hodge conjecture in the narrow sense is difficult, it is not so difficult that Simon can't even chew it.

While typing in front of the computer, Simon said, "The construction progress of the project framework is almost 30%. I have sent you the file via email. Please check it."

Gu Lu chose to receive the email, smiled and praised, "30%, very good, Professor Simon."

It has only been a week since Simon, the International Congress of Mathematicians, began to build the framework of the project after returning to China.

In one week, the progress reached 3o%.

This speed was beyond Gu Lu's expectation.

"Well, in the narrow sense, Hodge's conjecture is a tough one, but I, Simon, also have two rows of sharp teeth that can gnaw!" It was rare to hear Gu Lu's praise, and Simon gave a little arrogance.

Gu Lu twitched the corners of his mouth and let out a quiet chuckle.

Gu Lu opened the file from Simon's email and scanned it briefly.

The Hodge conjecture in the narrow sense is a difficult problem in algebraic geometry, in which the drawing of some geometric figures is indispensable.

only……

Simon's drawing skills can only be described in words by Gu Lu.

Simon seems to understand that abstraction is art, so the dozens of pictures in the document given to Gu Lu are all simplified abstractions.

There were even a few pictures that Gu Lu wondered whether Simon had drawn by hand, as they were just like a child's graffiti.

Why are you so good at using maTLaB?

"Simon, these geometric pictures of yours..." Gu Lu looked at the geometric diagrams brought by Simon with a strange look on his face.

"Oh, you're talking about these pictures. It's too troublesome to draw with drawing software, so I drew them directly with a hand-painted tablet. My Picasso-style painting style is not bad!" Simon said with a little pride in his tone.

Not bad...what a ghost!

This thing, let alone laymen, I am afraid even some insiders will not be able to understand it.

Gu Lu held his forehead, too lazy to dwell on these small details.

Gu Lu scanned a document in the file that was twenty or thirty pages long. He had no desire to open it and said directly, "I won't open it and read it myself. It's a waste of time. Simon, just give me the contents."

Let me say it again."

"You are really lazy." Simon curled his lips and muttered in a low voice.

"I didn't quite hear what you said?" Gu Lu asked with a smile.

"Nothing, nothing, I'll tell you, I'll tell you now." Simon wiped the non-existent sweat from his forehead.

"Hodge's conjecture is a difficult problem born from the extremely abstract system of modern mathematics. As a highly professional problem, the object it deals with is so far away from our general intuition that it is not only difficult to judge whether the conjecture itself is right or wrong, but even

The formulation of the question itself seeks to build real consensus.”

"It wasn't until 195o that we had a precise definition of Hodge's conjecture: every (certain type of) harmonic differential form of a non-singular projective algebraic variety is a rational combination of algebraically closed cohomology classes."

Having said this, Simon picked up the coffee and drank it in one gulp, preparing to tell Gu Lu a story about the tragic history of numerous mathematicians following the Hodge conjecture.

But he was directly interrupted by Gu Lu.

"Don't talk nonsense. I know all this history. Let's get straight to the point."

"Okay." Simon reluctantly cut off what he had prepared and went straight to the topic.

"I used the method you gave me, which is to trace back to the source, starting from the definition of algebraic varieties, and convert the solutions of some algebraic equations into geometric objects. In this case, the conjectured 'non-singular projective algebraic varieties' can be defined as

The "surface" of a smooth multidimensional object generated by the solution of an algebraic equation."
Chapter completed!