Chapter 648

Yanjing.

Inside the Institute of Mathematics at Yanda.

Mathematicians are busy in their respective offices nervously.

Almost a week has passed since the first all-staff meeting of the research team was held.

Within this week.

The thirty employees of the research team have received their respective tasks from their respective module leaders, and then they have devoted themselves to the research work in full swing.

In the plan formulated by Gu Lu, the construction process of the entire geometry-algebra-topology grand unified theory was divided into two parts.

The first part is an extended exploration in the three directions of geometry, algebra, and topology led by Simon, Zhang Wei, and Alec, and uses the five tools proposed by Gu Lu in the plan to conduct research in their respective fields.

integration.

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

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

and.

These two parts of work are not sequential but are carried out simultaneously.

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

Now, a week has passed.

After Simon, Zhang Wei, and Alec each submitted their first-stage research results to Gu Lu, Gu Lu had already started his work.

…………

"... From the above, it can be concluded that there is a function that can connect the Galois group representation and the automorphic form. This function can be called the l function."

"Introducing the concept of Langlands program into the l function, we can get that in the l function, gl(2) is the simplest non-commutative reduction group."

"In order to further study general non-commutative reduction groups, it is necessary to establish a stability trace formula. This stability trace formula and the "basic lemma" proved by ngo can lead to the automorphic representation of typical groups from the perspective of general linear groups

The internal classification of . And the substantial unification of functority can..."

Crackling.

Gu Lu's fingers tapped on the keyboard.

Gu Lu used the l function as the starting point to easily integrate the content submitted by Simon and the others in the first stage.

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

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

The l function mainly defines some automorphic representations of parsimonious groups.

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

When Gu Lu was proving the Hodge conjecture in the narrow sense, he used this thing frequently, so he became very comfortable in using it.

Although the l function was not listed by Gu Lu among the "five tools" for constructing a unified theory of geometry, algebra and topology.

but……

As a small link, the l function is very convenient to use.

Especially when the research team is in its early stages and the design content is not so responsible.

And as time goes by.

The depth and complexity of the research content is getting higher and higher. At that time, tools such as the narrow Hodge conjecture and the complex ring conjecture will come in handy.

…………

When Gu Lu mentioned the compound ring conjecture, he thought of Bi Qi again.

After stretching, Gu Lu closed the computer, moved his somewhat stiff body, and walked slowly to the office where Bi Qi and the other four were.

Inside the office.

The four people from Bi Qi all sat around the same desk, discussing in low voices and intensely.

"You guys aren't going to quarrel again, are you?" Gu Lu pushed open the door and walked in. What he saw was this scene, and he subconsciously recalled the scene not long ago.

"No, teacher, we don't." Bi Qi waved his hand and smiled, "Isn't it that the victory over the compound ring conjecture is about to enter the final stage? We are assigning tasks."

"That's okay, that's okay, I thought you and Chen Mo were quarreling again!" Gu Lu smiled lightly.

"Teacher, Junior Brother Bi Qi and I are now as close as one family, and we have a good relationship!" Chen Mo smiled and hugged Bi Qi's shoulders, "Junior Brother Bi Qi, don't you think so?"

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

After a while of commotion, the enemies Bi Qi and Chen Mo calmed down.

Gu Lu helplessly held his forehead and asked, "Regarding the compound ring conjecture, how has the progress been in the past week?"

Bi Qi took a document in his hand, turned the document to the last few pages, and handed it to Gu Lu, "Teacher, this is what we have achieved in the past week, and it is all here!"

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

Although Bi Qi and Chen Mo dislike each other, the progress of research on the compound ring conjecture has not slowed down at all.

Most of the difficulties in proving the compound ring conjecture have been overcome by the four of Bi Qi.

The remaining ones are the simplest finishing matters.

The finishing work basically has no technical content to speak of.

It's just that the final thesis writing may take a lot of effort.

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

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

This part of the work is handled by Bao Zi and Ma Zhengxuan.

"I have written part of it, about one-third. Teacher, do you want to read it now?" Bao Zi answered softly.

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

Proof paper of the complex ring conjecture.

There is basically no chance of being published in the "Annals of Mathematics".

Because it's not up to par.

But for the remaining three of the four major mathematics journals, Gu Lu still feels that they can make a little effort.

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

"Thank you, teacher!" Bi Qi and the four of them thanked each other.

"New Advances in Mathematics" is one of the four major journals in mathematics, with an impact factor of 15.98. It 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 has been accepted by "New Advances in Mathematics" during their graduate studies. This will undoubtedly add an extremely bright touch to their resumes.

This will be of great benefit to their future development.

Facing everyone's thanks, Gu Lu just waved his hands with a smile, "No need to thank me, you should be more grateful. Actually, it's yourselves."

Gu Lu was right.

If there were four people, the quality of this paper would not be enough.
Chapter completed!