Chapter 162

"Regarding constructing a K-value function that expresses affine DL clusters, I think we can introduce the concept of vertex operator algebra. Gu Lu looked directly at Academician Di and said slowly.

"Vertex operator algebra?" Academician Di looked at Gu Lu with a puzzled gaze, waiting for his follow-up explanation.

Gu Lu didn't ink either, and directly continued, "Vertex algebra can be regarded as a mathematical expression of two-dimensional conformal field theory. Moreover, the importance of the algebraic associativity of the vertex operator is equivalent to the property of the operator product expansion. ”

"For vertex operator algebras, Frinkel last year passed the envelope algebra U(G) of the algebra A(N,(k,0)) isomorphic Lie algebra. Zhu's in-depth study of the modulo invariance of the algebraic features of the vertex operator relates the algebra V of each vertex operator with the combined algebra A(V). In this way, the single V-mode and the single A(V)-mode are one-to-one. ”

“…… So, we only need to construct an affine Lie algebra A2, and then define and reconstruct the theorem through vertex algebra to construct and prove that the vertex algebra N(k,o) of A2 is a vertex al......gebra of a Z+-split arch!

It took about five minutes for Gu Lu to explain his method of solving this problem in a clear manner.

To put it simply, it is by introducing the concept of vertex operator algebra.

At the same level of Lie algebra, the affine DL cluster K value function is constructed.

This is the only feasible method that Gu Lu thinks after thinking about countless ways.

But, to be honest, Gu Lu's grasp is not great.

Not even ten percent!

Otherwise, I would not have asked Academician Di this question.

"Very interesting idea. Academician Di nodded and commented, and when he looked at Gu Lu again, there was already a hint of appreciation in his eyes.

After pondering for a few seconds, Academician Di said with a smile, "Being able to put forward this idea proves that you have seriously thought about this issue and have a thorough enough knowledge and understanding of this issue, but you have ignored a problem. ”

Academician Di raised a finger and looked at Gu Lu calmly, "What you just said is that after constructing a Z+- sub-arch vertex algebra, is it irreducible modulus to directly calculate the vertex operator algebra using the A(V) theory?"

Gu Lu nodded, "Yes, that's right." ”

But have you ever thought that V is a vector space, and it's also a vector space over a complex number field. Although such a complex domain vector space can have an algebraic structure of vertex operators, its existence cannot be guaranteed in computing the irreducible modulus of vertex algebra. How do you solve this problem?" Academician Di looked at Gu Lu with a smile.

"This ......" Gu Lu was asked for a while, touching his chin, and his brain was spinning rapidly.

After more than half a minute, Gu Lu replied, "After constructing the algebra of the arch vertice, we can first convert the vector space into a field of real numbers, and then perform irreducible modulus calculations. ”

"The idea is fine, but the calculation process is too complicated and adds a lot of work. Academician Di shook his head with a smile, "What we are asking for is a K-value function, and it is not to calculate irreducible modulus." We can go straight to the big shots. ”

"Di Lao, what do you mean?"

"Cut it!" Academician Di said these two words very simply, "Since it is not easy to calculate, then we will cut it directly, and then ...... like this"

"But if that's the case, isn't that ......?"

"Young man, don't be in a hurry, listen to me slowly!"

The two of them were in the lecture hall and chatted directly in front of the other more than 50 people.

Everyone in the lecture hall looked at Academician Di on the stage, and then looked at Gu Lu who was talking eloquently behind them, and directly fell into a messy state in the wind.

The process ...... That's not right!

Didn't you say a good Q&A session?

And that's not the most surprising part.

What surprised them was that the people who talked to Academician Di were not the two academicians sitting in the first row, nor Professor Myers in the second row, nor the mathematics professors from major universities in the back.

Rather, a young and somewhat excessive youth!

Who's this?

I don't know!

They didn't know that Gu Lu had jumped out of it.

It stands to reason that the lowest ticket that can be obtained for this academic lecture is the title of professor, but it is not clear where Gu Lu, a small lecturer, got the ticket.

Although his heart was full of surprise and doubts, just based on the current situation of this young man talking with Academician Di, he was indeed qualified to sit with them.

The discussion between Gu Lu and Academician Di continued.

Generally, Gu Lu expounds his ideas, and Academician Di corrects them.

I have to say that Gu Lu's idea of using vertex algebra to solve it after spending more than ten minutes is indeed full of loopholes.

Fortunately, Academician Di tinkered with it, and finally made it a little barely eye-catching.

But will this plan work......

Not to mention Gu Lu, even Academician Di can't give a definite answer.

Perhaps, only after a few attempts, can you get results.

"Do you want to try it?" Academician Di looked at Gu Lu with a smile.

Gu Lu shook his head, a wry smile appeared on the corner of his mouth, "Elder Di, I'm busy with another subject right now, I'm afraid I don't have time." ”

There were less than two months left before the deadline for the second problem side quest of the Minimity Model Program, and Gu Lu couldn't be distracted from studying other things at all.

In addition, affine DL clusters belong to the direction of algebra and are not the areas that Gu Law Firm is good at.

In the case of the Lie group analytic mapping fluctuating irregularly at the zero point, there are too many uncertainties in the k-value function of affine DL clusters.

It is estimated that even if Gu Lu does not have a task at present, he will not take this as the goal of the next stage.

Therefore, research on this topic can only be postponed indefinitely.

Seeing Gu Lu's refusal, Academician Di didn't have any surprises, just smiled and asked, "Oh, what are you currently studying?"

"The second problem of the minimalist program. "There's nothing to hide, Gu Lu replied directly.

"Minimal Model Program?" Academician Di was amazed, "Isn't this the category of geometry?"

Gu Lu didn't know what Academician Di was surprised by, so he replied honestly, "Yes, my main focus is on number theory and geometry. ”

"That generation of mathematics ......," Academician Di's heart suddenly slammed.

The content of his lecture today only covers a very small number of geometric contents, and the rest are all concepts in Li Qun in algebra.

I thought that Gu Lu understood so thoroughly that he should be a mathematician who mainly focused on algebra.

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

"Algebra, I'm just dabbling in it a little, it's hard to get into the hall of elegance. Gu Lu smiled modestly.

Academician Di: "......"

Academician Di glanced at Gu Lu with deep meaning, and slowly spoke, "I heard your teacher, Academician Ji, say that you will definitely stand at the top of the world's mathematical pyramid in the next ten years, but I still don't believe it. But now, I believe it!"