Ultimate Scholar

The next day, as scheduled.

The news that Li Mu is going to hold an open class at St. Petersburg State University has already spread, and the report he made is based on the theme of the existence and smoothness of the solution of the NS equation that he has just proved not long ago, and then more details A little explanation.

Such an open class naturally attracted the attention of other mathematicians.

These mathematicians have basically participated in the International Conference of Mathematicians, but have not returned, and are still staying here. After all, strictly speaking, it is still the summer vacation in July. There is no rush to return.

As a result, what surprises them now is that they did not expect such benefits to stay. \u001c

Although what Li Mu said in the report was detailed enough, if they could go into more detail, they would naturally be quite happy. \b

Ever since, Li Mu's open class attracted a lot of mathematicians to attend.

As a public class, this class is not held in any classroom, but in the Great Hall of St. Petersburg State University.

As a country that generally believes in the Orthodox Church, this luxurious auditorium also has a very religious style. Of course, it is also very luxurious. \b

And even for the students here, every time they come to the auditorium, it will give them a different feeling.

"It's unbelievable that Li Mu's public class is actually held in the auditorium. It's incredible that the school is willing to open the auditorium for him!"

The students of the Department of Mathematics of St. Petersburg State University had almost arrived at the seats in the auditorium. They couldn't help but marvel at the grand occasion in the auditorium.

"Of course. After all, it is Professor Li Mu who solved the most difficult mathematical problem in the NS equation. It is our luck that he is willing to come to our school to hold an open class."

Some students couldn't help but said at this time: "But, can we really understand it then? I have only studied a little bit of fluid mechanics."

"Hey, it doesn't matter whether you understand it or not, the main reason is to meet Professor Li with your own eyes." Another student shrugged his shoulders and said indifferently: "I haven't even studied fluid mechanics yet. , this is an elective course, and I haven't studied it at all."

When their school advertised this open class, they also let students from their mathematics department and physics department sign up at will, instead of selecting a certain class. Anyway, there are enough seats in the auditorium to accommodate them.

So they all signed up regardless of whether they understood it or not. After all, this is the only true mathematics class in this era. \b

"I heard that there will be many other well-known mathematicians coming today, but I don't know which ones will come."

A student looked at the entrance of the auditorium and said curiously, and suddenly at this moment, he exclaimed: "What did I see? That's...Professor Perelman?"

His words immediately attracted the attention of other students around. For a moment, their eyes were all on the entrance, and then their eyes widened.

That iconic beard, and that face...

Mathematical students at St Petersburg State University are all too familiar.

This is their former senior, the pride of their school, and the first to prove the seven major problems of the millennium. Even Li Mu is the second—of course, considering Li Mu's age, this is also unavoidable. Avoid it, after all, when Perelman proved the Poincaré conjecture, Li Mu was only two or three years old.

However, although Perelman's entry brought an uproar and surprise to the people present at the beginning, they also quickly remembered Perelman's temper, so they tried not to go there as much as possible. Follow him so as not to annoy him.

And this is the most important thing for Perelman. He was invited by Li Mu and also came for his further explanation of the NS equation. Although he was ready to be watched by everyone, he was gratified It was my own coming that didn't attract too many eyes.

What he doesn't like is the feeling of being talked about by too many people, and he only hopes to become one of the crowd.

Bolonikov saw his old friend return to this homeland again, although even in normal times, the distance between this homeland and Perelman was only about ten kilometers away.

His eyes were a little red, and Bolonikov went up and punched him: "I told you to come back and you didn't come back, but Li Mu asked you to come back, so you came back?"

Seeing his old friend, Perelman also showed a smile, and then said: "If you can prove the existence and smoothness of the solution of the NS equation, then I must have returned long ago."

Bolonikov was silent for a moment, and then said angrily: "You just say that you don't want to come back, and prove this problem... How much do you think of me?"

Both of them laughed.

Subsequently, Bolonikov also took Perelman to the first row and sat down.

Those sitting in the first row were basically old acquaintances of Perelman, and they all greeted him and welcomed him back.

However, people also have a tacit understanding not to talk about him too much.

In this way, time passed quickly, until finally, the time for the public class officially began.

Li Mu's figure also walked out of the backstage lounge. Looking at the auditorium that was almost full of people in front of him, he also sighed with emotion. Although Russia is vast and sparsely populated, there are quite a lot of students studying mathematics.

Of course, students majoring in physics are naturally included in the auditorium. After all, NS equations and fluid mechanics are indeed things in classical physics, although the Department of Mathematics will also conduct special research on this issue.

Shaking his head and not thinking too much, he said, "It's a great honor to be invited by St. Petersburg State University to come here for an open class."

"St. Petersburg State University is a university with a very long history. Many celebrities who I admired came out of it, such as Leonhard Euler, the 18th century mathematics master. For all our modern mathematicians Say, Euler is like a patriarch."

"Another example is Mr. Chebyshev, who also made great contributions to our mathematics."

"Including the current Mr. President of Russia, who also came out of here - Mr. President is also a very charming person."

"So, I also believe that every student here has the same great potential."

"Then, I also hope that my next course can give you a boost in your journey towards greatness." Li Mu smiled slightly: "This lesson, let's start from now on."

Since he was invited to give a speech at someone else's school, it was inevitable, of course, to brag about it first. \b

After bragging, he turned around and walked to a small blackboard that was pushed up, and this public class officially started.

Since the subject of his class is related to the existence and smoothness of the solution of the NS equation he proved, the content of the class will naturally focus on this aspect.

However, there are two groups of people he serves in this class. One group is the students who make up the vast majority of the auditorium. They are the main target of this class. , and another group is those mathematicians who have heard the news, such as Perelman.

Perelman was invited by Li Mu, and he came only after hearing that what he was going to talk about had something to do with the NS equation.

And if what he said is only at the student level, then it is obviously not good.

So how to make the student group think and at the same time let the mathematician group increase their understanding.

On this point, it is full of difficulties.

However, for Li Mu, it is interesting to challenge the difficulty.

With the beginning of the class, Li Mu also gave full play to his extremely high ability in teaching.

All the students present don't even need to study fluid mechanics. As long as they have an understanding of partial differential equations, they can understand NS equations and gradually understand Li Mu's proof through his narration.

Solving partial differential equations is a research direction of partial differential equations, and proving the existence of solutions of partial differential equations is also a research direction.

For them, Li Mu's class is also a class of partial differential equations, and during the process, it can also arouse their thinking, why does Professor Li do this at this step and handle it that way at that step.

For mathematicians such as Perelman and Li Mu, the steps to guide students to think in this class can deepen their understanding of Li Mu's proof process.

Therefore, it can be said that Li Mu's public class has successfully taken care of two groups at the same time.

Until an hour later, the class ended.

"Then, the content of this open class is the above."

"I hope that everyone here can gain something."

Behind it was a small blackboard filled with various styles. Li Mu stood at the front of the podium, facing everyone, and then bowed slightly.

Everyone present suddenly woke up like a dream, followed by warm applause, which resounded in the entire auditorium.

"It's actually over!"

Dean Bolonikov showed surprise on his face, "Why do I feel like it's only been about half an hour?"

Next to it, Cherobavsky, the dean of the School of Physics, said with emotion: "I really didn't expect that Professor Li is not only extremely talented in academics, but he is even so good in class."

"Yeah, what he said sounded very inspiring to me, and he has something else, which is also very suitable for undergraduates and graduate students... What an amazing person." On the other hand, their math professor is also the same Said.

Everyone was amazed by it.

An excellent scholar is often not necessarily an excellent teacher.

Although the vast majority of scholars will serve as teachers and professors, and will give lectures to students, this does not mean that they are also good enough in lectures.

Therefore, there is a difference between a great educator and a great scholar.

Now it seems that Li Mu is not only a great scholar, but also has the potential to become a great educator.

This makes Bolonikov and others who are also scholars and educators feel very envious. \b

"Perelman, what do you think? You don't regret coming to this class, do you?" Bolonikov also turned his head and asked Perelman at the side at this time.

Perelman lowered his head and pondered for a long time, until finally he raised his head and nodded, "Yes, this is a very exciting lesson."

...

Li Mu's open class is over, and the video of the entire open class has also been published on the Internet.

As soon as the video was released, it attracted as many as thousands, even nearly 10,000 downloads.

Those who downloaded this open class were also divided into several groups.

The first group is mathematicians from all over the world, especially those who study partial differential equations and Navier-Stokes equations. Many of them participated in the International Congress of Mathematicians, and then For those mathematicians who left St. Petersburg before Li Mu's open class started, although they missed the scene, it is naturally impossible for them to miss this video.

The second group is naturally the students. After all, the students of St. Petersburg State University agreed after listening to the class. For those students who are interested and more motivated, they are naturally more reluctant to miss it.

In addition to these two groups, there is a third group, that is, those professors who want to learn from Li Mu about the way of teaching, especially Li Mu's public class, which not only allows students to gain a lot Full, even those mathematics scholars present, this is certainly worth learning for their teachers.

But helplessly, after watching Li Mu's full video, they had no choice but to give up, because such a class requires a mathematical ability like Li Mu's to survive, and without his mathematical ability, it can be simplified It is completely impossible to achieve his effect.

In a word, those who learn from me live, those who imitate me die.

That's it.

...

"you are leaving?"

"Yeah, it's time to go."

At the entrance of the hotel, Li Mu, who was about to leave St. Petersburg today, greeted everyone's farewell.

The people who came to see him off were basically people from St. Petersburg State University.

Bolonikov said helplessly: "Although I know it's probably impossible, I still want to say, St. Petersburg State University, you are always welcome to join."

Li Mu smiled and said, "Thank you."

"Of course, although you can't officially join now, I don't think you will refuse the tenured honorary professorship, right?"

Suddenly, Bolonikov brought another letter of appointment from the side, which was about St. Petersburg State University's appointment of him as the school's tenured honorary professor.

Li Mu was taken aback for a moment, and then even laughed, "Of course, it's also my honor."

"That's really great!" Bolonikov nodded with a smile, and then handed the letter of appointment to Li Mu.

Of course, it was also indispensable for someone to take a photo with them.

"Okay, I wish you the best of luck."

After the group photo was finished, Bolognikoff and Li Mu solemnly shook hands and sent their last blessings.

"Oh, by the way, Perelman didn't come today, but he asked me to say goodbye to you and tell you good news. After watching your public class, he became interested in class again, like He is as passionate as ever about helping his classmates and friends with their math studies."

"Even I had his help once."

Bolonikov smiled: "So, he has already planned to return to school occasionally to give lessons to the students."

Hearing this news, Li Mu also showed a sincere smile on his face: "This is great news for the mathematics community."

...

Perelman was willing to start classes again, probably because he didn't get too many people's attention when he returned to school this time, so he no longer felt awkward.

After all, no matter what, he still likes to discuss mathematics with others and share his results with others, just like he once put his proof of the Poincaré conjecture on the website, and took the initiative to share it with more than a dozen mathematicians he knew. The scientists sent emails, asking them to take a look at the papers he sent.

So, of course, this is good news for the mathematics community.

On the other hand, for patients with thrombosis, there is also good news.

When Li Mu's plane landed at Oxford Airport, he received a call from China.

Kingsley Weir, brought him huge good news.

"Boss! Our RSCA antithrombotic drug has passed the third phase of clinical trials!"