Chapter 360

Night.

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

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

It's eleven o'clock in the evening in Yanjing now, and it's five o'clock in the afternoon on Simon's side.

Simon's location is the office.

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

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

Originally, the time agreed between the two was seven o'clock in the evening, that is, one o'clock in the afternoon on Simon's side for video.

This time was delayed by a full four hours.

"I met with the two students I had just taken in, and I was delayed for a while. Gu Lu smiled lightly and spoke.

Simon leaned forward, "Student, Gu, have you accepted a student?"

Gu Lu shrugged his shoulders and smiled, "Of course, I am now a doctoral supervisor of the Yan University School of Mathematics, of course, I have to accept a few doctoral students as students, after all, it is the responsibility of our group of teachers to preach and solve doubts." ”

"With the personal guidance of you, those two doctoral students should be very lucky. Simon laughed.

Gu Lu smiled but said nothing.

Simon then spoke, "Anyway, last year, I also took in two students, but it was too much wasted energy, and two people were enough for me to keep busy, so I will confiscate it this year." ”

"If you have the chance, let's talk to each other's students. ”

He and Gu Lu are now in a cooperative relationship for the time being, so BAB guessed that the field could not be found for the time being.

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

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

"Okay, I'll let them talk to each other when I have the chance. Gu Lu smiled and nodded in agreement.

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

I just feel that Simon's students should belong to the top of their generation under Simon's teaching for more than a year.

Let Bao Zi and Chen Mo communicate and learn from them, which should allow Bao Zi and the two to learn a lot.

After chatting about these inconsequential things, Gu Lu's face turned pale and began to get to the point.

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

Simon retracted the smile on his face and said helplessly, "The narrow Hodge conjecture, even if it is only a weakened version of the Hodge conjecture, is still much more difficult than I imagined!"

"Gu Lu, if it weren't for the relationship between me and you, I wouldn't have played so much with you!"

After digging deeper, Simon found that he still underestimated the difficulty of the narrow Hodge conjecture.

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

Simon felt that it would be at least ten years before they had the strength to fight.

"Forget it, stop talking nonsense, just tell me how the progress is, don't tell me the progress is zero. In the face of Simon's complaints, Gu Lu was unmoved.

"How can it be zero, don't think you're so weak, I'm also one of the great geniuses in the field of algebraic geometry!" Simon retorted to Gu Lu.

The narrow Hodge conjecture was difficult, but not so difficult that Simon couldn't bite at all.

Simon crackled and typed in front of the computer as he spoke, "The progress of the construction of the project framework is about 30%, and I have sent you the document by email, check it." ”

Gu Lu chose to receive the email, and praised with a smile, "30%, that's very good, Professor Simon." ”

It has only been a week since Simon returned home from the International Congress of Mathematicians to start building the framework of the project.

In one week, the progress reached 30%.

This speed was already beyond Gu Lu's expectations.

"That's it, the narrow Hodge guess is a hard bone, but I, Simon, also have two rows of sharp teeth, gnawing and moving!" Hearing Gu Lu's praise rarely, Simon was a little arrogant.

Gu Lu tugged at the corners of his mouth and snorted quietly.

Gu Lu opened the document sent by Simon's email and scanned it simply.

The special Hodge conjecture is an algebraic geometry puzzle in which some geometric figures are drawn.

Merely......

Simon's drawing skills, Gu Lu can only be said to be indescribable.

Simon seems to be well versed in the truth that abstraction is art, so the dozens of pictures sent to Gu Lu in the document are all simplified abstractions.

Even a few Gu Lu wondered if Simon had drawn it by hand, it was like a child's graffiti.

Why can you be so good at using MATLAB?

"Simon, ...... these geometric pictures of you" Gu Lu looked at the few geometric diagrams sent by Simon, with a strange expression.

"Oh, you mean these pictures, it's too troublesome to draw with drawing software, so I'll just draw them with a hand-drawn tablet, my Picasso-style painting style is not bad!" Simon said with a little pride.

Not bad...... What a ghost!

This thing, let alone a layman, I'm afraid that even insiders will not understand it.

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

Gu Lu scanned a document that was twenty or thirty pages long, and had no desire to open it, so he said directly, "I won't open it and read it myself, it's a bit of a waste of time, Simon, you can simply tell me the content inside." ”

"You're lazy. Simon pursed his lips and muttered something in a low voice.

"What are you talking about, I didn't hear too clearly?" Gu Lu asked with a smile.

"Nothing, nothing, I'll tell, I'll talk now. Simon wiped a handful of sweat from his forehead that wasn't there.

The Hodge conjecture is a difficult problem born under the extreme abstraction system of modern mathematics. As a highly specialized problem, it deals with objects so far from our general intuition that it is difficult to judge not only the right or wrong conjecture itself, but even the formulation of the problem itself seeks to establish a real consensus. ”

"It wasn't until 1950 that we had a precise definition of the Hodge conjecture: that every (of a certain type) harmonic differential form of a nonsingular projective algebraic cluster is a rational combination of the upper cohomology class of the algebraic closed chain. ”

Speaking of this, Simon took a sip of coffee and drank it, ready to tell Gu Lu a magnificent tragic history of countless mathematicians against Hodge's conjecture.

But was directly interrupted by Gu Lu.

"Don't talk about this nonsense, I know all this history, get straight to the point. ”

"Okay. Simon reluctantly pinched out the prepared speech and went straight to the point.

"I use the method you gave me, which is to go back to the roots, starting with the definition of algebraic clusters, and convert the solutions of some algebraic equations into geometric objects, so that the conjecture of 'non-singular projective algebraic clusters' can be defined as the "surface" of smooth, multidimensional objects generated by the solution of an algebraic equation. ”

"Next ......"