In the following time, Xiao Yi started directly from the mold form, and combined with the content of geometry Langlands Program, officially started the research on Riemann Hypothesis.
Hmm...
Of course, strictly speaking, what he is actually doing more research on is to further develop the Elliptic Inverse Analytic Continuation he has developed now.
Let's see how far this new method can be extended by using modular forms and combining it with geometry Langlands Program.
As for actually starting the research on Riemann Hypothesis, there is no need to worry at all. As the saying goes, sharpening the knife will not hinder the woodcutter. Only by sharpening the knife called theory can you better chop wood called Riemann Hypothesis.
However, this is destined to be a long-term matter.
Since Riemann Hypothesis is involved, naturally it is not something that can be done easily.
The day passed quickly.
Xiao Yi's research has gradually entered the state.
On the other side, the video of his class yesterday has also been posted online.
Every class he teaches is recorded and uploaded to major video websites.
Now he mainly teaches two classes, the number theory class for freshmen in the last semester, and the real variable function for sophomores in the second semester.
His class recordings receive a lot of praise every semester.
Many self-study students will come to watch these two classes of his, and quite a few students taking postgraduate entrance examinations have regarded his videos as the best tutorials for self-study of number theory and real variable functions. Even graduate students will come to study them. Whether it is to consolidate basic knowledge or learn his thinking from him, it is very helpful. In addition to students, there are also many teachers who will come to learn his teaching style, and then imitate his rhythm in their own classes, or even copy it completely.
Basically, after a few years, the average views of his recorded videos have reached more than 500,000.
As a professional mathematician, this kind of playback volume is not low. Of course, considering that there has never been such a top mathematician in China before, and he still won the Fields Medal Mathematics Award, it is normal to have such a playback volume.
Moreover, as new students enroll every year, or start to study related courses, and new students begin to enter the review stage for postgraduate entrance examinations, it can be predicted that the number of views will most likely gradually increase, and it is not impossible to exceed one million by then.
In addition, because the quality of his recordings and broadcasts are very good, quite a few people have left messages expressing the hope that he can take more classes. It is best to give every class in the mathematics major and record them all.
In this way, they no longer have to search for various online courses on the Internet, and then they don't know whether the quality of this online course is good or not.
For such a request, Xiao Yi can only say that if there is a chance, I will do it next time.
Having said that, as soon as his video yesterday was released, it immediately attracted a lot of the Mathematics Department students and teachers. Especially yesterday's video involved the distribution of prime numbers, an important issue in the field of number theory, so the number of views also increased very quickly. On the second day, the number of views reached nearly 100,000.
But on the next day, the number of views suddenly started again, directly increasing by 50,000.
The main reason lies in the Elliptic Inverse Analytic Continuation shown by Xiao Yi during the lecture.
Undoubtedly, this brand-new method immediately attracted the attention of quite a few people who watched the video.
And first of all, it was discovered from those graduate students.
Princeton University.
"Chen, can you tell me another story about Professor Xiao?"
Sitting in the laboratory, Chen Muhua was swimming in the water, and then he heard a voice coming from next to him.
When he turned around, he saw that he was a fellow student with the same tutor as him and a doctoral student. His name was Sanjay Khan, a India person.
And he is also a high-caste person, Kshatriya.
When Chen Muhua first came here, he was asked by many people here because his last mentor was Xiao Yi. Of course, they all wanted to know from him what kind of person Xiao Yi is.
Of course, he was naturally quite willing to talk about it. In the first month, he no longer had to talk about it every day, but almost every hour. So when the students around him occasionally didn't hear what he was talking about, they would laugh and tease him, "You haven't talked about your instructor Xiao Yi for a minute."
It wasn't until a month later that he realized that the classmates around him might have been used to hearing it, and he couldn't always mention it, otherwise he would bring trouble to his instructor.
So he didn't talk anymore.
As a result, after a period of time, the students around him noticed that he stopped talking and were a little unaccustomed to it. Moreover, they who studied mathematics would never stop being interested in Xiao Yi, a genius known as the smartest genius in history, so they started to ask about it from time to time.
This Sanjay Khan is one of them, and he is also the most enthusiastic among them.
Chen Muhua rolled his eyes. "It is indeed you."
Then he said, "Wait a minute, I'm going to watch a video now."
"Huh? What kind of video is it?" Sanjay asked curiously.
"You may be interested." Chen Muhua opened a link sent in the group and said, "It is related to Professor Xiao."
Sanjay's eyes lit up. "Then I am indeed very interested."
Then he dragged a chair from the side and sat next to Chen Muhua, preparing to watch it with him.
Soon, the video opened, and Xiao Yi appeared in it.
As for the scene, it is obviously in a classroom.
This is exactly the class recording of Xiao Yi, and the video inside is also the class yesterday.
Chen Muhua was very curious, because this video was sent to him by Liang Qiushi, and he was given a time point in the video, saying that after this time point, what their Professor Xiao said was very important.
So he decided to take a look.
Soon, I jumped directly to this video node.
And this time node is exactly the node where Xiao Yi starts to show the Elliptic Inverse Analytic Continuation method.
Chen Muhua himself studied Algebraic Geometry and Langlands Program, so he was no stranger to these contents. After seeing the method demonstrated by Xiao Yi, his eyes immediately widened.
Is there such a method?
Can analytic continuation be demonstrated in this way?
Elliptic curve...
Elliptic curve...
As someone who has dabbled in Langlands geometry, he certainly knew how much help it would bring if elliptic curve methods could be used to explain analytic continuation.
Then he continued to look down, and his eyes brightened even more after he actually saw how this method was used.
Although his own ability can only be said to be relatively outstanding among doctoral students in mathematics, it can also be seen how powerful this method is.
In particular, the information reflected in this process is particularly important.
He could see that using this new analytical extension, the information after the extension of the original analytical function could be displayed in a more detailed and comprehensive way, which would be very beneficial to the processing and use of this information during the research process.
Thinking of this, he felt extremely amazed in his eyes.
Professor Xiao will always be the same Professor Xiao.
At this moment, Sanjay next to him was a little anxious. "Chen, what on earth did Professor Xiao say? I can't understand Chinese! But it seems to be something about elliptic curves, right?"
Chen Muhua smiled and said, "Yes, it is indeed related to elliptic curves, and it is also very important. I remember that you study number theory, right?"
"Yes." Sanjay nodded. They were working under the same mentor, and their research fields were basically not too different.
"Then let me explain to you what Professor Xiao is talking about. You will be surprised after listening to it!"
Then, he started to tell Sanjay about the method mentioned by Xiao Yi in the video
Of course, he served more as a translator and directly explained to Sanjay what Xiao Yi said in the video.
However, as he told it, Sanjay gradually realized how awesome this method was, and immediately exclaimed in their laboratory, attracting the attention of everyone else.
And Sanjay immediately told everyone present the news.
So in the end, Chen Muhua had to start introducing Xiao Yi's new method to everyone present.
The main reason is that although analytic continuation can be used in number theory, this method strictly belongs to the field of complex analysis, so almost everyone present knows what analytic continuation is.
Now that they learned that there could be a brand new analytical continuation, especially since this method was developed by Xiao Yi, they were certainly very curious.
Ever since, Chen Muhua began to serve as a teacher and stood in front of the blackboard to introduce this new method to them. For a while, the entire laboratory was filled with amazement.
In the corridor outside the laboratory.
Two professors are walking this way.
Suddenly, the sound of exclamations in the laboratory caught their attention.
"Haha, Manuel, your laboratory is quite lively."
Andre Okounkov said to Manuel·Balgava with a smile.
Manuel frowned.
Manuel·Balgava, Chen Muhua and their tutors, heard that their students were not studying hard and were still so noisy, so they immediately decided to go in and teach them a lesson.
So when he walked to the door of the laboratory, he suddenly opened the door and yelled, "What are you doing? My laboratory is definitely not for you to have parties. There is only one theme here, and that is study. If you want to have a party, you can have it on campus or in a bar."
The students in the laboratory immediately became quiet.
Manuel turned to look at Chen Muhua who was standing on the podium, frowned, and when he was about to say something, he saw something written on the blackboard again, and he was immediately stunned.
There were no drawings on the blackboard, at least it wasn't an indescribable thing drawn on it, but neat lines of formulas, and these formulas were particularly familiar to him.
Elliptic curve.
He himself studies number theory and elliptic curves, and because of his original achievements in this area, he received Fields Medal.
Yes, he is also a Fields Medal winner, receiving this award in 2014.
As for Andre Okounkov who followed him, he was also a Fields Medal winner.
And Okounkov heard that Manuel suddenly stopped moving, so he followed in. When he saw the things on the blackboard, he was stunned, and then he started to read like Manuel.
So just like that, the students present were trembling because they had just been scolded by the professor, but the two big guys who got Fields Medal were particularly quiet.
It wasn't until a moment later that Manuel finally came to his senses and looked at Chen Muhua again. "Did you write this?"
"Ah... yes, it's me, professor." Chen Muhua responded quickly.
"Did you come up with it?"
"Uh..." Chen Muhua shook his head repeatedly. "No, this is the result of Professor Xiao Yi."
"Oh!" Manuel nodded. "That's understandable."
Chen Muhua did not refute this, because such a method was indeed not something he could come up with.
Okounkov next to him raised his eyebrows. "So, this is a new method developed by Professor Xiao?"
He also turned to Chen Muhua and asked, "You should be Professor Xiao's student. Could it be that Professor Xiao has written a new paper?"
Chen Muhua explained, "No, this method... was actually proposed by Professor Xiao in his class. I have his video here!"
Then, he showed the video of Xiao Yi to the two big guys in front of him.
However, because it was in Chinese, the two big guys couldn't understand it either.
So naturally, Chen Muhua took on the role of translator again.
Manuel and Okounkov also sat directly below, listening to Chen Muhua's narration.
Soon, under Chen Muhua's narration, they understood the thing in front of them.
"It's amazing... this new method, analytic continuation, can actually be demonstrated in this way."
Manuel nodded and expressed emotion.
Okounkov next to him was the same, full of praise, "This method is a huge improvement for analytical continuation. With the information revealed through this method, many problems can be simplified."
"Yes." Manuel nodded, and then he said with slight surprise, "Did Professor Xiao really come up with this method temporarily in class?"
Okounkov said, "I think there is a high probability that it is. Otherwise, in its current form, it is still a little too rough. There should be many places that can be improved."
"That's true..."
Manuel started to think about what aspects can be improved?
After a moment, he was suddenly stunned. "Perhaps... this method can be used to study Riemann Hypothesis? You know, if we combine it with the model form, use Taniyama-Shimura theorem..."
Okounkov was stunned when he heard what Manuel said, "It seems... it is indeed feasible!"
The two Fields Medal winners were both bright-eyed at the same time, and immediately began to communicate on this topic.
It seemed like their voices were the only ones left in the entire laboratory.
Next to them, many students of Manuel listened to the discussion of the two big guys, and they all looked confused for a moment. Especially, this method can be used to study Riemann Hypothesis!
They all immediately looked at Chen Muhua.
Chen Muhua also looked surprised.
He doesn't know either!
But, then again, maybe his former mentor has really started research on Riemann Hypothesis?
"I really envy your country, China, for having such a great genius."
At this time, Sanjay next to him suddenly said.
Chen Muhua was stunned and said with a smile, "Yes, maybe this is our national destiny."
Then he asked, "However, I remember that there are many India scientists, right? Some of them have won the Nobel Prize, and Fields Medal?
Sanjay shook his head and said, "Actually, we don't have many scientists, and those truly outstanding scientists have all gone abroad. Even if they have achieved results, most of them will only choose to stay abroad in the end and cannot bring us India What a big change, but Professor Xiao is different. Not only has he stayed in China, but he has also brought so many changes to China. He can even complete major technologies such as nuclear fusion. I can't imagine that such a thing can happen in India."
Chen Muhua was stunned for a moment, then smiled.
Questions like this...
Why isn't it often mentioned in China?
But fortunately, among their Chinese talents who have gone abroad, there are still quite a few people who are willing to come back.
As for those who never go back after leaving China, why should they care?
He asked, "What about you? Will you return to India after graduation?"
"Certainly. "Sanjay said, "I must go back. There is a girl waiting for me. I also want to go back and be a teacher to educate our India children."
Chen Muhua would like to say that if the caste system does not change, India's development may always face problems.
But in the end, he still didn't say this, and just said, "You will succeed."
"Thank you, what about you? Will you return to China after graduation? "Sanjay asked.
Chen Muhua said without thinking, "Of course!"
Sanjay smiled and said, "Do you also have a girl waiting for you?"
"That's not true. "Chen Muhua said, "Just because that is my hometown."
Happy National Day everyone