I walked into the study and sat down in front of the computer.

While turning on the computer screen, I recalled in my mind about the interviewing students.

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

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

Of course, in a graduate interview, 30 minutes is already a long time.

It's just that Li Mu has his thoughts about this interview, so thirty minutes may not be enough.

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

"The first person ......"

He entered the online conference room and waited for the first interview student to enter, while he also opened the resume of the first student.

The first student is from France, from the Faculty of Mathematics at the École Normale Supérieure in Paris.

The Mathematics Department of the École Normale Supérieure in Paris is one of the best mathematics majors in the world.

Just look at how many Fields Medal winners have been among the students who have graduated from the École Normale Supérieure in Paris, almost the largest number in the world.

Therefore, in terms of mathematical quality alone, this student must not be questioned.

In addition, Li Mu has also read the papers published by this student in the past - before the official start of the interview, he must of course understand in detail the level of the 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, the essay is enough to reflect the real level of a student.

And this student's thesis is also excellent enough.

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

The video opened, and a brown-haired guy with natural curls appeared on the other side.

Looks pretty 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, his body immediately sat up straight, and there was obvious excitement on his face.

"Yes! I'm Anthony Alex...... Professor Lee! It's a pleasure to meet you! ”

"I ...... I ......"

After intermittently "me" for a long time, Anthony Alex also found this embarrassment, and then said with some embarrassment: "I'm sorry, Professor Li, I'm so excited to see you!" ”

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

Anthony Alex scratched his head a little embarrassed, and he didn't expect that he would be so excited after seeing Li Mu.

Of course, it was really because Li Mu won the Wolf Double Award at the same time a few days ago, which made his admiration for Li Mu more profound.

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

I can't continue to make a bad impression.

Seeing his adjusted appearance, Li Mu said: "It seems that you should be adjusted, then our interview will officially start, let's introduce ourselves first." ”

"Okay."

Anthony Alex nodded solemnly, and then entered the process.

"Dear Professor Li, I am Anthony Alex from the École Normale Supérieure in Paris, France, and I am honored to be here for your interview, I ......"

A simple one-minute self-introduction is mainly for the interviewee to form an initial impression of the interviewee.

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

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

This is also the main reason why Li Mu will rank him first, in addition, when he introduces himself, he also seems more confident.

For those who study mathematics, self-confidence is a very important thing, if you are not confident enough, you will probably encounter any difficult problems, and you will have the idea of retreating.

Of course, the first impression is good, and it depends on its ability.

Of course, the interview of graduate students is to test their real level.

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

"Yes, in general, from a few of your papers, I can also tell that you have a certain level."

"I've read your papers, and they're basically all in algebraic geometry."

When he said this, Li Mu paused slightly.

"So, my interview is very simple, and the most quick way to verify a person's mathematical ability is to solve the problem, so now I will send you a question, you can try to do it."

Subsequently, Li Mu shared a document with Anthony Alex in the online conference room.

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

Anthony Alex was stunned, probably not expecting Li Mu's interview to be such a form.

Of course, he quickly accepted this form.

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

Let them say, maybe they won't be able to say anything, but if they were given a math problem, they could easily use up twenty pages of scratch paper.

"Okay professor."

Soon, Anthony downloaded the file shared by Li Mu, and then opened it and read it.

[If the product of the abelian variant on a field k with a feature p greater than 0 is equal to the product of the supersingular elliptic curve on the algebraic closure of k, it is called hypersingular.] Let AgFp be the eigenvalue p > The modulus space of the g-dimensional principally polarized Abelian variant of 0. The supersingular trajectory Sg is defined as a closed subset of the supersingular major-polarized abelian variant of Agf. This trajectory can be considered to be the most degenerate layer in the AgFp Newtonian polygon layering......

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

So, next, please try to determine the cyclic factor of the supersingular trajectory at g = 4, and make the most of it. 】

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

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

Half an hour?

Bah!

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 very well how difficult this question is.

As long as this achievement can be completed, it is enough to post an article in one area!

Suddenly, his face became sad, and he said to Li Mu: "Professor, are you sure this is my interview topic?" It's too ...... difficult."

Li Mu smiled and said, "Don't worry, keep looking down, there is a hint I gave you on page 2." ”

“另外，关于这个问题也只是让你进行尝试，并不是让你完全解决掉这个问题，好好展现一下你的思路才是最关键的。 ”

Hearing Li Mu say this, Anthony breathed a sigh of relief, and then said, "Okay, I know." ”

Li Mu nodded, "Then let's start." ”

Without further ado, Anthony began his problem-solving process.

And Li Mu also waited quietly.

Anthony also saw the hints given by Li Mu on the second page, and what surprised him was that these hints given by Li Mu were enough to write a paper that could be a second district paper if it was said to be a second district, but now, Li Mu only put the results of such a paper that can be called a second district paper in the interview, and it was only in his own interview.

What a ...... Extravagant.

Of course, he was quickly relieved, for a big guy who can publish a top journal casually, what can a second-district paper be?

Probably nothing.

Anthony's reflections began.

At Li Mu's request, he needed to make sure that the camera included the scratch paper, so that Li Mu could see his thought process.

And the thought process is also the best way to reflect the talent of a mathematician.

And just like that, time passed quickly.

Half an hour later.

Anthony stopped his pen and looked surprised.

"I see! To determine the factor of the cyclic class of the supersingular trajectory at g = 4, it is necessary to first prove that on the Chow loop loop of falting-chai compaction (AgFp) with rational coefficients, a formula for the cyclic class of the supersingular trajectory should make the class a mononomial in the Chern class of the Hodge bundle until a factor is a polynomial of p! ”

(End of chapter)