Chapter 117

The person who sent this email was a senior brother of Gu Lu.

The senior brother's surname is Gao, and his full name is Gao Chuang.

He is currently working as a postdoctoral fellow at the Institute for Advanced Mathematics at Princeton University.

Like Gu Lu, this senior brother Gao also studied at Yenching University in China as an undergraduate.

After graduating as an undergraduate, he studied abroad at Princeton University to pursue a doctoral degree.

Senior Brother Gao came to Princeton three years before Gu Lu.

In addition, the two of them are both alumni of Yan University, and when they were abroad, Senior Brother Gao always took good care of Gu Lu.

What academic problems they encountered, the two often met to discuss.

Therefore, the relationship between Gu Lu and Senior Brother Gao is very good.

And Senior Brother Gao sent an email to Gu Lu this time, in fact, to be precise, it was an invitation to Gu Lu.

An invitation to a collaborative research project.

In the field of mathematics, Senior Brother Gao focuses on geometry.

What about Gu Lu?

Geometry is also one of his areas of expertise.

Moreover, Gu Lu, the genius of this junior, was personally taught by Senior Brother Gao during the two years that Gu Lu was studying in Princeton.

Therefore, when the project was successfully established and Senior Brother Gao was looking for a partner, he thought of Gu Lu for the first one!

…………

In the email, Brother Gao was vague about the details of the collaborative research.

Gu Lu looked at the time, and estimated that Senior Brother Gao hadn't slept yet, so he made a phone call directly.

The phone rang for a few seconds before it was connected.

Senior Brother Gao's familiar voice came from the other side of the phone, "Gu Lu, have you seen the email I sent?"

Gu Lu nodded, "Well, I've already seen it." ”

"How about it, are you interested? This topic is very big, and it's a hard bone, I can't do it alone, I guess I can't gnaw it! So I can only seek your fire support from Senior Brother Gu." Senior Brother Gao smiled bitterly.

"Senior brother, tell me about the specific details?"

"Oh, yes. I'm not working at the Institute of Advanced Mathematics now, you know, Princeton is a place where genius is not as good as a dog, and evil is everywhere. This is a good achievement in China, but in Princeton Institute for Advanced Mathematics it has become completely transparent. ”

"At the end of this year, I want to try to see if I can be rated as a researcher assistant, but in terms of academic research results, the requirements are not met. Therefore, I want to use the remaining six months to produce a paper that is at least the top in Region 2. ”

"So, Senior Brother Gao, what is the specific research direction you have chosen?" Gu Lu asked.

Senior Brother Gao slowly spit out six words, "Extremely small model program!"

"Minimal model program?" Gu Lu was surprised, "This direction is very unpopular!"

"The more unpopular it is, the less competition it is. Senior Brother Gao's high-pitched voice came from the phone, "This time, what I want to challenge is the first problem of the minimalist program!"

The so-called minimalist program is a problem of double rational geometry in algebraic geometry.

For a given algebraic cluster, we must be able to generalize the blow down operation or flip operation, and after a finite number of operations, we can get a geometrically minimal model, which is the minimum model program.

The fact that the minimalist program is unpopular does not mean that its academic value is not high.

On the contrary, the concept of minimalist model is of great help to the study of the classification and structure of high-dimensional algebraic clusters.

However, mathematicians are not currently able to directly apply the minimal model program to the study of algebraic clusters.

The reason is simple.

There are two major problems in the minimalist program.

That is, the first problem of the minimum model program and the second problem of the minimum model program are respectively.

These are the two mountains that lie in front of all the mathematicians who study the minimalist program, and they are like shackles to imprison the minimalist program, and then put it on the shelf.

To put it simply, if we want to apply the minimameter program to the study of high-dimensional algebraic clusters, we must solve two major problems.

A few years ago, many mathematicians tried to do it, but all of them failed.

With the passage of time, there are fewer and fewer challengers, and this research direction is becoming more and more unpopular.

…………

"Senior Brother Gu, what do you think?" asked Senior Brother Gao.

Do you want to study the first problem of the minimalist program......

Gu Lu pondered for a few seconds and nodded lightly, "Yes, I'll join!"

As it happens, he doesn't have any research assignments at the moment.

Moreover, the problem of the minimalist program is unpopular, but it is very challenging.

It is more difficult than the Cohen-Lenstra conjecture he just proved in the previous stage, but it is not a leapfrog difficulty progression.

It is in line with Gulu's current steady development plan.

Just as Gu Lu nodded in agreement, there was a long-lost clinking sound in his mind.

It should be another side quest, yes.

Gu Lu thought about it while clicking on the system panel to view.

But what surprised Gu Lu was that the side quest that appeared this time was not just one, but one breath...... Let's have two!

[Side Quest: Solve the first problem of the Minimal Model Program.]

Duration of the mandate: six months

Rewards: Reasoning +20, Space +20. 】

[Side Quest: Solve the second problem of the Minimal Model Program.]

Mission Sight: Six months

Rewards: +20 Calculation, +20 Insight. 】

The first side quest is within Gu Lu's expectations.

But the second task made Gu Lu a little distressed.

The second problem of the minimalist program is more difficult to study than the first problem of the minimalist program from any point of view.

If Gu Lu is 90% sure of solving the first problem of the minimum model program within six months.

The second question is less than 30% certain.

But the reward of forty attribute points is here, and it is impossible for Gu Lu to turn a blind eye.

Heart-warming and tangled.

Thankfully, there is no penalty for failing the mission.

Regarding the second question of the minimalist program, Gu Lu does not plan for the time being.

Whether or not to solve the two major problems of the minimalist program in one go still needs to wait for the first problem to be solved in cooperation with Senior Brother Gao, and then look at the time arrangement.

…………

Next.

Gu Lu and Senior Brother Gao had a video call to determine the specific details of the research process.

Just like Senior Brother Gao said, the first problem of the minimalist program is a hard bone.

If you want to gnaw it down, you have to put a lot of effort into it.

Now the first step is to find an entry point for the study.

Then the whole problem is solved from the point to the surface.

…………

There are still a bit of books at home.

Gu Lu found a high school classmate who was currently studying at Ocean University, applied for a library card, and successfully blended into the library of Huaguo Ocean University.

In mid-June, many university students are already entering exam week.

Therefore, the place in the library of Huaguo Ocean University is full.

Gu Lu searched for a long time, but he couldn't find an empty seat.

…………

PS: There is a plus update today.