Chapter 648

Yanjing.

Inside the Institute of Mathematics of Yan University.

The mathematicians were busy in their offices.

It has been about a week since the first all-staff meeting of the research group.

During this week.

The 30 employees of the research group have received their respective tasks from their respective module leaders, and then devote themselves to the research work in full swing.

In the set of schemes formulated by Gu Lu, the construction process of the entire geometry-algebra-topology unified theory is divided into two parts.

The first part is led by Simon, Zhang Wei, and Aggreko, which extends the exploration in the three directions of geometry, algebra, and topology, and uses the five tools proposed by Gu Lu in the scheme to integrate their respective fields.

The second part is to integrate the content of the three modules of geometry, algebra and topology, and splice them all into the same set of frameworks according to their intrinsic connections.

This part of the work is mainly carried out by Gu Lu.

Moreover.

These two parts of the work are not in order, but are carried out at the same time.

Simon, Zhang Wei, and Alec are responsible for one part, and Gu Lu is responsible for the other.

Now, a week has passed.

After Simon, Zhang Wei, and Alec each submitted their first phase research results to Gu Lu's side, Gu Lu also started his work.

…………

“…… From the above, it can be concluded that there is a function that can be related to the Galois group representation and the self-defending form, which can be called the L function. ”

"Introducing the concept of the Langlands program into the L-function, it can be concluded that GL(2) is the simplest non-commutative reduction group in the L-function. ”

"In order to further study the general noncommutative reduction groups, it is necessary to establish a stability trace formulation, which together with the "fundamental lemma" proved by NGOs, can lead to the internal classification of the self-preserving representation of canonical groups from the perspective of general linear groups. And the great unity of functifiers can be ......"

Cracking sound.

Gu Lu's fingers clicked on the keyboard.

Gu Lu used the L function as the starting point to easily integrate the content submitted by Simon and the three in the first phase.

The so-called L function is a concept proposed by the Canadian mathematician Langlands in the last century.

The main role is to serve as a link between the two fields of geometry and algebra.

The L-function mainly defines some self-supporting representations of small groups.

This function is reflected in the BSD conjecture and the Hodge conjecture among the seven mathematical conjectures of the millennium.

When Gu Lu proved the narrow Hodge conjecture, he used this thing a lot, so he was already handy in using it.

However, the L-function is not listed in the 'five tools' for constructing a unified theory of geometry-algebra-topology.

But......

As a small bond, the L function is still very convenient to use.

Especially when the research group is not so responsible for the design content at the beginning of the start.

And over time.

The depth and complexity of the research content will increase, and at that point, tools such as the special Hodge conjecture and the complex loop conjecture will come in handy.

…………

When it came to the conjecture of the re-ring, Gu Lu thought of Bi Qi's side again.

Stretching his waist, Gu Lu closed the computer, moved his somewhat stiff body, and walked slowly to the office where Bi Qi and the four of them were.

Inside the office.

The four of them all sat around the same desk, whispering and discussing fiercely.

"You won't quarrel again, will you?" Gu Lu pushed the door in, and saw such a scene, subconsciously recalling the scene not long ago.

"No, teacher, we don't. Bi Qi waved his hand and smiled, "Isn't this the completion of the Fuhuan conjecture, we are assigning tasks." ”

"That's okay, that's okay, I thought you were arguing with Chen Mo and the two of you again!" Gu Lu smiled faintly.

"Teacher, I am now close to Senior Brother Bi Qi like a family, and we have a good relationship!" Chen Mo smiled and put his arm around Bi Qi's shoulder, "Senior Brother Bi Qi, did you say?"

"It's you banana rake hammer, Chen Mo, you're hugging me like this, don't blame me for running to your bedroom again at night. Bi Qi looked at Chen Mo and hugged his right hand, pouting in disgust.

After a while, Bi Qi and Chen Mo quieted down.

Gu Lu helplessly held his forehead and asked, "Regarding the re-ring conjecture, how has it progressed in the past week?"

Bi Qi took a document in his hand, flipped the document to the last few pages, and then handed it to Gu Lu, "Teacher, this is the result of our nearly a week, it's all here!"

Gu Lu took it, glanced at it roughly, and then nodded with satisfaction, "Not bad, very good." ”

Although Bi Qi and Chen Mo are not pleasing to the eye, not to mention, the research progress of this complex conjecture has not been slowed down at all.

Most of the problems that proved the complex conjecture had already been overcome by the four of Biqi.

And the rest are the easiest finishing touches.

Finishing touches are basically nothing technical to speak of.

It's just the final thesis writing, maybe it takes a lot of effort.

"Have you started writing your paper?" asked Gu Lu.

Bi Qi turned his head to look at Bao Zi and Ma Zhengxuan.

This part of the work is in charge of Bao Zi and Ma Zhengxuan.

"I've written a part, about a third, do you want to read it now, teacher?" Bao Zi replied softly.

Gu Lu waved his hand, "No need, when the paper is finished, just send me a copy, I'll review it for you, and then find a suitable journal to submit." ”

Proof of the complex loop conjecture.

Publication in the Annals of Mathematics is basically not that opportunity.

Because the force can't be reached.

But for the remaining three of the four major mathematics journals, Gu Lu still feels that he can fight for it a little.

"I know the editor-in-chief of New Advances in Mathematics, and I can fight for you. Gu Lu said with a smile.

"Thank you, teacher!" Bi Qi thanked the four of them in unison.

"New Advances in Mathematics", which is one of the four major journals in the field of mathematics, with an impact factor of 15.98, can be said to be the dream of countless mathematicians.

Moreover, among the four major mathematics journals, "New Advances in Mathematics" is not ranked last.

Their papers can be published in this journal, or one of their papers at the graduate level has been accepted in New Advances in Mathematics, which will undoubtedly add an extremely glamorous stroke to their resumes.

This will be of great benefit to their future development.

In the face of everyone's thanks, Gu Lu just smiled and waved his hand, "Don't thank me, what you should thank more is actually yourself." ”

Gu Lu was not wrong.

If the level of the paper of the four people is not enough.

No matter how much Gu Lu goes through the back door, it is impossible for him to be listed in a top journal like New Advances in Mathematics.