Chapter 615

Bao Songquan looked at Gu Lu with doubtful eyes, "Gu Lu, your plan is really too bold!"

Bao Songquan has already regarded Gu Lu's new project with extremely high standards.

even……

Even if Gu Lu goes to prove the generalized Hodge conjecture next, Bao Songquan will not be too surprised.

However, the plan that just came out of Gu Lu's mouth was really amazing.

Bao Songquan, who had long developed the ability to hide his emotions and anger, could no longer remain calm.

And what exactly is Gu Lu’s bold plan?

Simply put.

Gu Lu wanted to create a new mathematical framework that included the three branches of mathematics: geometry, algebra, and topology.

To put it more plainly and understandably.

Gu Lv is trying to construct a grand unified theory that includes geometry, algebra, and topology!

Grand unified theory!

Bao Songquan knew very well what these five words meant, and he knew even more clearly how heavy the weight behind these five words was.

The so-called grand unified theory of geometry, algebra, and topology can be interpreted as using a unified set of theories to explain all content in the three fields of algebraic geometry and topology.

Including theorems, conjectures and derivation of various formulas.

Nowadays, various branches of mathematics are more or less connected with each other.

For example, algebra and geometry form the research field of algebraic geometry, and number theory and algebra form the research direction of algebraic number theory.

but……

Although there are more or less connections between various branches, most of them are connections between single contents and cannot be studied and explored within the same theoretical framework.

The grand unified theory of geometry, algebra, and topology proposed by Gu Lu is to study these three branches of mathematics under the same framework, so that the connection between the three changes from point-to-point to face-to-face, and finally the three are gradually integrated.

as one body.

Let’s use an analogy.

If you compare various branches of mathematics to rooms adjacent to each other.

The situation before that was that there was a door connecting the three rooms of geometry, algebra, and topology.

If you want to see the scene from one room to another, you have to open the door and walk to the other room.

The unified theory of geometry, algebra, and topology proposed by Gu Lu can break the wall between the three rooms.

so.

No matter which room you stand in, you don't need to make any movements, just look around, and you can see the scene in another room.

The process of constructing this unified theory of geometry, algebra and topology is, figuratively speaking, a process of breaking down the walls that separate the three.

But this process of breaking the wall is not difficult at all.

Because those walls are large in area and very strong.

It is not that predecessors have never tried to construct this grand unified theory.

But apart from leaving a few pitted marks on the wall, there was basically no great achievement.

If Gu Lu really wanted to try to construct this unified theory of geometry, algebra and topology, not to mention starting from scratch, it would be almost the same.

And this is not just one wall, but three walls: geometry-algebra, geometry-topology, and algebra-topology.

The amount of work and difficulty involved…

Bao Songquan is really unimaginable.

Because this plan will be incredible to anyone who hears it.

Otherwise, Bao Songquan would not have had the extremely bold idea of ​​Gu Lu's plan pop up in his mind when Gu Lu finished speaking.

…………

"Gu Lu, are you really... no longer thinking about it?" Bao Songquan looked up at Gu Lu and spoke tentatively.

It cannot be said that Bao Songquan is not optimistic about Gu Lu's bold plan to construct a unified theory of geometry, algebra and topology.

With Gu Lu's talent, as long as he is given enough time, Gu Lu still has a great chance to construct this unified theory in his lifetime.

but.

That was in my lifetime.

Bao Songquan still has a rough estimate in his mind of how much time and energy it will take to construct this grand unified theory.

It takes at least three years to start.

This is just a conservative estimate.

If there is any shortage of inspiration in the middle, it will be extended for a long time.

and……

A more important point.

It is still unknown whether the unified theory of geometry, algebra and topology mentioned by Gu Lu in his plan actually exists.

This grand unified theory may exist, but it may not exist.

If it exists, then that's fine. It just takes a little more time, and one day we'll eventually find it.

But if it doesn't exist.

That’s blood loss!

Real blood loss!

This is not the same as proving a conjecture.

If it is finally concluded through proof that a certain conjecture is not true, then it is at least one of the results, but this result is relatively unsatisfactory.

but……

If there is no such thing as a grand unified theory, then there really is nothing.

It was a waste of time, and neither fame nor fortune was gained. It can be said to be a huge loss.

not to mention.

In more than two years, it will be time to select the next Fields Medal.

Gu Lu's top priority now should be to seize the time to accumulate capital for the Philippine Prize selection and study more results with higher certainty, rather than placing bets on such a high-risk plan.

The geometry-algebra-topology grand unified theory is a big pitfall.

It is a big pit that is difficult to climb out of once you fall into it.

Bao Songquan didn't want Gu Lu to get stuck in it.

Therefore, when this plan was still in the preparatory stage and had not yet been put into practice, Bao Songquan hoped that Gu Lu would change his mind.

But obviously.

According to his lawful temper, once he decides on something, he will do it without hesitation, no matter what the risks and benefits are.

Facing Bao Songquan's persuasion, Gu Lu just smiled and shook his head gently, "Brother, I have already thought about it. This is definitely my next topic!"

"Are you really going to try to construct a unified theory of geometry, algebra, and topology?"

"really!"

"You should know how much time you will waste if this grand unified theory itself does not exist."

"I know it, but I have a hunch that this unified theory will definitely exist!"

"Okay!" Seeing that Gu Lu had made up his mind, Bao Songquan stopped trying to persuade him.

Gu Lu is still young and has many opportunities for trial and error.

Besides, even if you lose the qualification to win this Philippine Award, isn’t there still another one?

Gu Lu could definitely afford to wait.

Now that he has chosen to agree, all Bao Songquan needs to do is to support Gu Lu wholeheartedly.

"When will the project be approved?" Bao Songquan asked.

"The middle of next month." Gu Lu replied.

It is now the end of March.
Chapter completed!