Chapter 617

The construction of the geometry-algebra-topology unified theory, Gu Lu has begun to slowly accumulate preparations little by little when the International Congress of Mathematicians has just been held for more than a year.

How difficult it is to integrate the theories of geometry, algebra, and topology into a single mathematical framework, Gu Lu knows very well.

Gu Lu didn't make a decision as soon as his brain was hot.

But after much deliberation.

Moreover, in the past year or so, Gu Lu has also made a lot of efforts for this.

The preparatory work for the geometry-algebra-topology grand unification theory is very complex and extremely important.

And in the midst of this, several important pieces of the puzzle are required.

Through these pieces of the puzzle, a bridge is built to connect the three fields of geometry, algebra, and topology.

Some of these puzzles have been proposed by previous mathematicians a long time ago, and Gu Lu can just use them.

Of course......

There are also several pieces of the puzzle that have not yet been proposed by mathematicians.

This needs to be done by Gu Lu himself.

The complex ring conjecture, as well as the narrow Hodge conjecture, are the two most important pieces of the puzzle.

Here's why.

After the International Congress of Mathematicians, Gu Lu positioned the next topic as the proof of the narrow Hodge conjecture.

Because this is an incomparably important part of Gu Lu's bold plan.

As for the re-looping conjecture......

This conjecture was put forward by Gu Lu himself.

However, Gu Lu only put forward the complex loop conjecture, not one of the purposes of the complex loop theorem, in order to save some time, with the help of external mathematicians to prove this conjecture.

But I didn't expect it......

Those mathematicians would be so uncompromising, and after so much time, they didn't even make a sound.

On the contrary, it was his four students who seemed to have the intention of proving it successfully.

This made Gu Lu speechless.

Thinking of this, Gu Lu remembered that Bao Songquan just said that Bi Qi seemed to be in trouble, and asked Gu Lu to take the time to take a look.

And Gu Lu is just free now.

Gu Lu looked up at the time of the wall clock on the wall.

It was already past one o'clock in the morning.

"Are they still in the institute office at this time?"

Gu Lu was a little unsure.

But he still got up and put on his coat and walked out of the apartment building to the Institute of Mathematics of Yan University.

According to Gu Lu, the Institute of Mathematics of Yan University is not far away.

After a few minutes, Gu Lu came downstairs to the research institute.

Look up.

The institute building was pitch black.

But the office on the second floor of the research institute that Gu Lu rented was still lit.

"People should still be there. ”

Bao Songquan said that Bi Qi and Chen Mo have been in the office until one or two o'clock in the morning recently, which seems to be true.

Nodding with satisfaction, Gu Lu came directly upstairs.

As soon as he walked up to the second floor, Gu Lu could clearly hear the sound of fierce arguments coming from the office.

With good hearing, Gu Lu heard that the two sides of the argument should be Bi Qi and Chen Mo.

“…… I think the mapping relationship of the homomorphic map: Gq→GLn(A) is E^p^(n+1)→E[p^n], you see what I calculated, let Kp∞/Q be the extended domain corresponding to the kernel Kerρp of the above homomorphic map: ρp:Gq→GL2(Zp), and the result is this!" Bizzy spoke loudly.

"I don't want you to think, I want me to think, I think the formula should be established here with the inverse limit: Tp(E):=limE[p^n], not the homomorphic map you are talking about. We have been going around in this pit for so long, I have reason to suspect that it is your front-end time that has deviated everyone's thinking!" Bi Qi's voice was loud, but Chen Mo's voice was not small.

"Senior Brother Chen Mo, you have to touch your conscience to speak, what do you mean that I have deviated from everyone's train of thought?" Bi Qi was not convinced.

"Hmph, if you hadn't mentioned that plan at the beginning, how could we be so passive now! There's nothing wrong with what I said!" Chen Mo clasped his arms in his hands and snorted coldly.

"When the vote was held at the beginning, Senior Brother Chen Mo, you voted for my plan, what's the matter, now that something is wrong, you are going to take off your pants and not recognize anyone, tell you, no way, you are responsible for me!"

"I'm not responsible, whatever!"

"I'm going to the dorm tonight and I'm not going back. ”

"Just go, I'm afraid you won't be able to do it, can it be said that if you go, the problem can be solved by welcoming men. ”

"Although you can't welcome men, you can add men to men!"

"!"

On the side of Bi Qi and Chen Mo, who were arguing fiercely, Ma Zhengxuan and Bao Zi were busy with their own work, looking strange.

In the past six months, the two have quarreled like this not once or twice, and the two have become accustomed to it.

Anyway, after every quarrel, Bi Qi would go to Chen Mo's dormitory to discuss philosophy for a night, and then he would inexplicably reconcile as before.

Here, Chen Mo and Bi Qi's argument on an issue continues.

Just as the argument between the two was about to intensify, the office door was pushed open.

Hearing the sound of the door opening, Bi Qi and Chen Mo stopped arguing and turned their heads to look at the door, while Ma Zhengxuan and Bao Zi, who were working with their heads, also turned their heads at the same time.

Then, four pairs of eyes widened at the same time.

"Old ...... Teacher!"

"Teacher, it's you!"

"Teacher, you're finally back!"

"Hello teacher!"

Four excited voices rang out almost at the same time.

At the door of the office, Gu Lu pushed the door and walked in, with a warm smile on his face, and opened his hands, "Everyone, long time no see!"

Bi Qi quickly got up from his chair and ran over to give Gu Lu a big hug.

"Teacher, I haven't seen you for so long, we thought you had forgotten about us!" Bi Qi hugged Gu Lu with a resentful tone.

Gu Lu patted Bi Qi's shoulder and said apologetically, "How could I forget you, you are my own disciples." It's just that I'm busy with other things during this time, and I don't have time to come back. ”

"Then teacher, who are you coming back this time?" Bi Qi looked up, his eyes a little excited.

Bi Qi was very worried that Gu Lu came back this time just to come to see them, and then left for half a year.

Gu Lu smiled slightly, "My time over there is done, and now I have returned to the school to live, in the next period of time, I will stay and be responsible for teaching you, and I will not leave!"

Bi Qi had a big smile on his face, "Teacher, welcome back." ”

Gu Lu patted Bi Qi's shoulder, and then glanced at the other three people standing in front of him, "I will make up for the debt I have owed you in the past six months." ”

Bi Qi shook his head, "Teacher, we don't need any compensation, we just need you to come back!"

After Bi Qi said this, Chen Mo and the three nodded in deep agreement.