Chapter 209

From the first day of the Lunar New Year to the sixth day of the Lunar New Year, for six days, Gu Lu stayed at home with Su Xi.

Of course, if he stayed overnight, Su Xi would still go home, otherwise it would not be good to let Gu Lu, the master, sleep on the sofa all the time.

This time, accompanied by Su Xi, Gu Lu finally spent a Spring Festival that was not lonely.

After the sixth day of the Lunar New Year, it is the day of reopening.

Su Xi was about to start busy with the affairs of the Yanjing branch, so he could only say goodbye to Gu Lu reluctantly.

And Gu Lu's side, after being lazy for six days, is also going to start getting busy with serious things.

Let's go!

Regarding the new topic, Gu Lu had long planned to start researching, but it had been delayed due to other things.

First the final exam, then the Meisai tutoring.

Plus it happened to be in time for the Chinese New Year.

As a result, regarding the new project, although Gu Lu has been preparing and selecting topics, it has been delayed again and again, and it has been delayed until now.

Gu Lu has been slacking off for a long time.

Gu Lu knew that he couldn't drag it out any longer.

If you indulge in a comfortable environment for too long, your brain will easily rust.

Gu Lu is now making his brain active.

It is imperative to start a new topic.

As for the research content of the new topic, after two months of thinking, Gu Lu finally has a clear direction.

After the two major problems of the minimalist program were solved, he is now a well-known existence in the field of geometry.

Especially among the young generation of mathematicians born in the 90s, he is one of the best.

Gu Lu's idea was that since he was well-known in the field of geometry, if he wanted to choose other research directions, it would be difficult for the research results to attract the attention of others once they were published.

It's better to be on the safe side.

After some thought, Gu Lu determined that the research content was in the field of geometry, and it was still the same algebraic geometry direction as last time.

As for the specific research content, after some consideration, Gu Lu chose the BAB conjecture.

The BAB conjecture, the full name is the Borisov-Alexeev-Borisov conjecture.

It was in the nineties of the last century that it was independently proposed by the Borisov brothers and Alexeev, respectively.

Specifically, under reasonable assumptions, farno clusters form a bounded family, and that farno clusters with slight singularities can be labeled with a finite number of parameters in any given dimension.

Although the BAB conjecture is not very old, only in his thirties, its difficulty and research significance are extremely high.

As a result, the BAB conjecture is included as one of the most difficult conjectures in the field of algebraic geometry.

You know, the field of algebraic geometry is home to a huge number of mathematical geniuses from all over the world.

But so far, there has been no news that the BAB conjecture has been overcome, so we know how difficult this conjecture is.

Although they both belong to the field of algebraic geometry, the two major problems of the minimum model program are a younger brother compared with the BAB conjecture, both in terms of popularity and difficulty.

Even, the difficulty of the two major problems of the minimalist program together may not be half of the BAB conjecture.

However, having said that, a conjecture of such difficulty, although it has not reached the difficulty level of the seven conjectures of the millennium, is extremely challenging for the current Gu Lu, and the probability of overturning is extremely high.

But after thinking about it for two months, Gu Lu still chose the BAB conjecture as the next research topic, and there are still reasons.

And this reason lies in Gu Lu's last research topic, the minimum model program.

In the field of algebraic geometry, there are some mathematicians who believe that the minimal model program is a key to the BAB conjecture.

But all this time, no one has said that this is confirmed.

Over time, it became a rumor, and now few people talk about it.

But Gu Lu didn't think it was a rumor.

As the solver of the two major problems of the minimalist program, in today's world, I am afraid that Gu Lu's understanding of the minimalist program is enough to rank in the top ten.

In Gu Lu's view, the minimal model program can indeed be used as a key to studying the BAB conjecture.

Of course, a simple minimalist program will not work, otherwise no one will find out for so many years.

Of course, the minimalist program alone is not enough, but with Gu Lu's paper that solves the second problem of the minimalist program, this matter becomes feasible.

The reason is that in that paper, Gu Lu proposed a concept called "standard plexus".

A standard bundle is a construct that is at the heart of double rational geometry.

A standard bundle is defined at any point in a cluster, and it encapsulates a large amount of geometric information about the cluster in a particularly useful way. By taking the parts of the canonical bundle and its exponential powers, you get a geometric object called a standard ring.

The standard ring can be used for the study of farno clusters.

The BAB conjecture is to prove the boundedness of the Fano cluster!

After such a circle, the minimalist program and the BAB conjecture are linked.

Use the Miniatures as a key to open the door to the BAB conjecture!

This is Gu Lu's plan.

The BAB conjecture is a hard nut, a hard nut that is harder than the two major problems of the minimalist program.

In the field of algebraic geometry, it has existed for more than thirty years, but no one has taken it down.

Over the decades, it has welcomed countless challengers.

And Gu Lu is about to become one of them.

Once the research content of the new topic has been decided, the next step is to find a partner.

The cooperation with Senior Brother Gao last year was quite pleasant, so Gu Lu thought of Senior Brother Gao for the first time.

After calling Senior Brother Gao, after greeting for a while, Gu Lu got to the point.

A few minutes later, Gu Lu hung up the phone and sighed.

Because of those two papers, Gao successfully became an assistant research institute at the Institute for Advanced Mathematics in Princeton.

After becoming a researcher, Senior Brother Gao was assigned to a Filipino Award winner to work on new projects.

At present, Senior Brother Gao is still working on the Philippine Award boss in the new project team, so naturally he has no time to cooperate with Gu Lu in research.

Senior Brother Gao said sorry on the phone, and Gu Lu couldn't force it.

"Then that's ......" Gu Lu rubbed his chin and muttered for a few seconds, "I'll do it alone!"

If Senior Brother Gao doesn't come, then Gu Lu won't bother to find other partners.

Gu Lu is looking for someone, but he definitely can't find an associate professor or professor with a higher title than himself.

But if you are looking for a lecturer-level teacher as a partner, it is better not to find one.

In this case, it is better not to look for it.

If you can't get busy, just find two or three students to work on the topic after the topic starts.

It's just that if you hire students, you need money!

"I'm going to apply for some project funding. Gu Lu muttered quietly.

In the last project, Gu Lu did not apply for funding because there was basically no cost.

Except for less than a hundred pieces of pen and paper, there was no other expense.

But this time, if you need to hire someone, you need to apply for some funding.

After pondering for a few seconds and thinking for a while, Gu Lu turned on the computer and wrote the application report for the scientific research fund of the School of Mathematical Sciences of Yan University.