Ultimate Scholar

Walked into the study and sat in front of the computer.

While turning on the computer screen, he recalled information about the interview students in his mind. \b

The order of the interviews was arranged randomly by him, but, only for this kid, Yuan Siping, he specially put him in the last one for the interview.

Looking at the time, six people, the average time for each person is about 30 minutes, and it takes a total of three hours.

Of course, in graduate interviews, 30 minutes of interview time is already relatively long.

However, regarding this interview, Li Mu has his own ideas, so 30 minutes may not be enough.

Specifically, it depends on the interview situation at the time.

"the first person……"

Entered the online conference room, and waited for the first interview student to enter, and at the same time he opened the first student's resume.

The first student is from France, Department of Mathematics, Ecole Normale Supérieure.

The Department of Mathematics of the Ecole Normale Supérieure de Paris is the best mathematics major in the world.

Just look at the number of Fields Medal winners among the students who graduated from the Ecole Normale Supérieure in Paris, almost the largest number in the world.

Therefore, in terms of mathematics quality alone, there is no need to question this student.

In addition, Li Mu has also read the papers that this student has published in the past - before officially starting the interview, he must of course have a detailed understanding of the level of papers written by these students.

If the level is not good and the quality is too poor, it will definitely be passed.

In the field of mathematics, papers are enough to reflect a student's true level.

And this student's thesis is also excellent enough.

While Li Mu was thinking, a person suddenly entered the online conference room.

When the video started, a naturally curly brown-haired boy appeared on the other side.

He looks quite handsome.

Seeing this person, Li Mu smiled and said hello: "Hello, you are Anthony Alex, right?"

After the French brother saw Li Mu on the other end of the video, he immediately sat up straight, and a very obvious excitement appeared on his face.

"Yes! I am Anthony Alex...Professor Li! Nice to meet you!"

"me……"

After talking about "I" intermittently for a long time, Anthony Alex also noticed this embarrassment, and then said with some embarrassment: "Sorry, Professor Li, I'm so excited to meet you!"

Li Mu smiled and said, "Okay, don't get too excited, I don't want to receive a student who can't speak after seeing me."

Anthony Alex scratched his head in embarrassment. He said that he didn't expect to be so excited after seeing Li Mu.

Of course, it was also because Li Mu won Wolfe's double award a few days ago, which made his admiration for Li Mu more profound.

But soon, after adjusting his mentality, he quickly became serious.

Can't continue to leave a bad impression.

Seeing how he adjusted, Li Mu said: "It seems that you should have adjusted, then our interview will officially start, let's introduce ourselves first."

"OK."

Anthony Alex nodded solemnly, and then entered the process.

"Hello, dear Professor Li, I'm Anthony Alex from the Ecole Normale Supérieure in Paris, France. It's a great honor to be here and accept your interview. I..."

A simple one-minute self-introduction is mainly to let the interviewer form a preliminary impression of the interviewee.

Li Mu looked at Anthony Alex's resume and listened to his self-introduction, nodding his head slightly.

In any case, Anthony Alex's resume is indeed very beautiful, and he is the best among the first eleven people.

This is also the main reason why Li Mu would rank him first. In addition, when he introduced himself, he also seemed more confident.

For those who study mathematics, self-confidence is a very important thing. If you are not confident enough, you may have the idea of ​​shrinking back when you encounter any difficult problems.

Of course, a good first impression depends on its ability.

Graduate interviews, of course, are to examine their true level.

With the end of the self-introduction, Li Mu nodded slightly.

"Yes, generally speaking, from your few papers, I can also see that you have a certain level."

"I have read your papers, and they are basically in the direction of algebraic geometry."

When he said this, Li Mu paused for a while.

"Then, my interview is very simple. The fastest way to verify a person's mathematical ability is to solve problems. So, now I will send you a problem, and you can try it."

Afterwards, Li Mu shared a file with Anthony Alex in the online meeting room.

"Your score with me will depend on your problem-solving process and the final result."

Anthony Alex was stunned for a moment, probably not expecting that Li Mu's interview would be in such a form.

Of course, soon, he also accepted this form.

Mathematics, to say a thousand words and ten thousand, is to solve problems.

Let them say, maybe they can't say anything, but if you give them a math problem, they can easily use up twenty pages of scratch paper.

"Good professor."

Soon, Anthony downloaded the file shared by Li Mu, opened it and looked at it.

[If the product of an Abelian variant on a field k with characteristic p greater than 0 and a supersingular elliptic curve on the algebraic closure of k is equihomogeneous, it is called supersingular. Let AgFp be the moduli space of g-dimensional principally polarized Abelian variants with eigenvalue p \u0026amp;amp;gt; 0. The supersingular trajectory Sg is defined as a closed subset of the supersingular principally polarized Abelian variant of Agf. This trajectory can be considered the most degenerate layer in the AgFp Newtonian polygon hierarchy...

For g = 1 and g = 2, the supersingular trajectory is a layer of the Ekedahl-Oort layer, so the class is known. For g = 3, supersingular trajectories do not belong to the Ekedahl-oort layer, but its cycloid class has also been demonstrated.

So, next, please try to determine the cyclic factor of the supersingular trajectory when g=4, please give full play to your ability. 】

After reading the description of the problem, Anthony was a little dazed.

Before the official start of the interview, he was still a little confused about the half-hour long interview, but now after seeing this question, he immediately understood.

half an hour?

Pooh!

A month is too little!

Anthony is very familiar with this question, because his previous papers are closely related to this aspect, so he knows how difficult this question is.

As long as this achievement can be completed, it is enough to post an article in the first district!

Immediately, his face became frowning, and he said to Li Mu: "Professor, are you sure this is my interview question? The difficulty is too..."

Li Mu smiled and said, "Don't worry, just keep reading. There are tips on page 2 for you."

"In addition, this issue is only for you to try, not for you to completely solve this problem. It is the most important thing to show your thinking."

Hearing what Li Mu said, Anthony breathed a sigh of relief, and then said, "Okay, I see."

Li Mu nodded, "Then let's begin."

Without saying any more, Anthony started his problem-solving process.

And Li Mu also quietly waited.

Anthony also saw the hints given by Li Mu on the second page. To his surprise, these hints given by Li Mu were enough to write another paper on the second district without saying anything. But now, Li Mu just This can be regarded as the result of the thesis of the second district, and it was put in the interview, and it was only in the interview of him alone.

It's really... a luxury.

Of course, he was relieved very quickly. For a big guy who can publish top journals casually, what is the paper in the second district?

Probably nothing.

Anthony began to think.

At Li Mu's request, he needs to ensure that the camera includes the draft paper, so that it is convenient for Li Mu to see his thinking process.

And the thinking process can best reflect the talent of a mathematician.

In this way, time passed quickly.

half an hour later.

Anthony stopped the pen in his hand, with a look of surprise on his face.

"I see! To determine the factors of the cyclic class of supersingular trajectories at g=4, one needs to prove that on the Chow ring of falting-chai compactification (AgFp) with rational coefficients, one of the cyclic classes of supersingular trajectories formula, which should enable the class to be a monomial in the Chern class of the Hodge bundle, up to a polynomial with a factor of p!"