The top student must be diligent

After getting in the car, Bai Lu smiled and said hello to Xiao Yi.

"Don't yell haha, Xiao Xiao hasn't become my student yet." Hu Guangde corrected him.

Bai Lu was stunned for a moment, and then apologized: "I'm sorry."

"Ah, it's okay, it's okay." Xiao Yi waved his hands repeatedly, "Actually, as long as Academician Hu is willing, I can definitely become Academician Hu's student. I don't think there was a message in the class group saying that our class of students You are now ready to choose a mentor.”

"Let's talk about this later. "

Hu Guangde waved his hand, not showing too much anxiety about this matter.

Then he asked Xiang Bailu: "Are there any arrangements with the School of Mathematics?"

"That's right." Bai Lu said: "The hospital hopes that Xiao Yi can give a report. The report is very simple. Xiao Yi only needs to tell you what happened at the discussion meeting on the 13th. Then Xiao Yi Let me explain the problems in Mochizuki Shinichi's theory. The report time is about 30 to 45 minutes. After these things are said, Xiao Yi can also express himself freely and talk about anything related. "

"That's it." Hu Guangde nodded with a smile, then patted Xiao Yi and said, "How do you think? This is also a good opportunity to introduce you to our domestic mathematics community. Of course, everything depends on you. If you find it troublesome, there’s no need to go.”

However, what surprised Hu Guangde was that Xiao Yi did not hesitate and nodded directly.

"I agree to make this report. "

In order to study the method of further combining far Abelian geometry with automorphic forms in the past few days, he also believed that it was necessary to review the content of far Abelian geometry.

Therefore, during the review process, it would not be a hindrance to rethink what happened at that day's seminar. It might also help him gain a further understanding of distant Abelian geometry.

"Haha, that's fine." Hu Guangde smiled and nodded.

Bai Lu also smiled and said: "Okay, many mathematicians in the domestic mathematics community will probably come over to read your report. I will leave a deep impression on them when the time comes."

"I'll try my best." Xiao Yi nodded slightly.

Next, the car became quiet. Hu Guangde closed his eyes and rested, while Xiao Yi continued to think about the problem in his mind.

Time passed quickly, and the car finally drove into the Mathematics College.

The Institute of Mathematics and Systems Science of the Chinese Academy of Sciences was originally a merger of four institutes, and was referred to as the Institute of Mathematics. Of course, some older generations like to call it the Institute of Mathematics.

In addition, it is also one of the four most powerful research institutes in the Chinese Academy of Sciences, with a total of 15 academicians, as well as a large number of Yangtze River scholars and outstanding talents.

It was founded by Hua Luogeng. Many famous mathematicians in history belong to this institute. It is now the most authoritative academic unit in the field of mathematics in China. After all, the 15 academicians are basically unique.

In this way, they arrived at the School of Mathematics. The dean of the School of Mathematics, Academician Xi Lan, led the leaders of the School of Mathematics to welcome them in.

Hu Guangde used to be from the School of Mathematics, so he was an old acquaintance here, so he was quickly pushed aside by these leaders.

The most important thing they welcomed was Xiao Yi, a young man who became famous in the entire international mathematics circle once he went abroad.

After a welcome party, Xiao Yi had a hard time, and it wasn't until ten o'clock in the evening that he checked into a hotel room specially arranged by the School of Mathematics.

"Well...even though I'm a little tired, I finally got to eat hometown food."

Xiao Yi sighed with emotion after touching his still a little full belly.

"By the way, I almost forgot to send an email to Professor Maynard!"

Chapter 76 Do you want to go to China?

After listening to the papers recommended to him by Professor Bombieri that day, he later read the three papers by James Maynard.

What has to be said is that Professor Bombieri's recommendation did bring huge help to Xiao Yi, so much so that he kept thinking about those three papers when he was on the plane.

Eventually, he came up with a series of questions and ideas that he wanted to discuss with James Maynard.

Of course, it is certainly impossible for him to fly directly to Oxford University where James Maynard is located, so the most ideal method is naturally to communicate via email.

Soon, he took out the laptop he carried with him, entered his email box, and started sending emails to James Maynard.

His thoughts and questions were edited on the plane, put into a PDF document, and then sent.

"Finish."

I clapped my hands, but I didn’t know when Professor Maynard would be able to reply.

"No matter, go to bed early. When I return to China today, I have to adjust my biological clock again."

Xiao Yi shook his head helplessly.

Thinking that in almost four months, he would have to fly to Princeton, and then he would have to adjust his biological clock.

Yes, when faced with Deligne's invitation that day, he naturally agreed in the end. After all, Faltings and Schultz were looking at him at the time.

He couldn't help but secretly make up his mind. After he became a super boss in the mathematics community in the future, he would give reports like this. If he could do it in China, he would do it in China. It wouldn't be easy for anyone to do it!

Going abroad once a year is enough!

With such a dream in mind, he also started to rest after washing up.

…

The other side of the Eurasian continent.

England, Oxford University, St. John's College.

In an office, James Maynard finished his work this morning.

Well, the main work today was to look at the papers written by his students.

It's good that his students are also very good, and they have further advanced the results he completed three months ago.

In June, he published three papers, expanding the value of θ about the distribution level of prime numbers in the Bombieri-Vinogradov theorem to 0.6, which can be regarded as a huge breakthrough in their number theory.

And his students have now pushed this result to 0.617.

Although it is only 0.017, it doesn't seem big at all, but it is also a feature of analytic number theory.

Other mathematicians once joked that analytic number theorists are obsessed with such small progress.

However, for them, these small progress are of great significance, just like a 100-meter race, even if it is improved by 0.01 seconds, it is a breakthrough in the world record.

Simply put, with every little progress, the technology will become clearer and more unified.

"Well done, Li Qiman. If you said before that you plan to use this paper as your doctoral dissertation, I think it is enough."

Maynard smiled and gave a thumbs up to the student who made this progress.

Then, the student named Li Qiman was immediately excited. Finally, his doctoral dissertation was completed!

Looking at his student's happy look, Maynard smiled slightly.

However, at this time, a pop-up window appeared in the lower right corner of his computer, reminding him that he had received a new email.

"Huh? Any new email?"

Maynard thought about it. There was still about half an hour before he got off work, so he would check this email first.

He quickly entered the mailbox and took a look at the email.

"Hmm... YiXiao? This name seems a little familiar. Who is it?"

Maynard leaned back a little on the back of the chair, thought about it in his heart, and soon thought of the name he saw in the news some time ago.

"Hmm? Could it be that genius from China? Why did he send me an email?"

Maynard was a little confused. He was working on analytic number theory, and there was not much connection between him and the far Abelian geometry that this genius was proficient in, right?

However, after he looked at the purpose of the email, he sat up straight from the back of the chair, and his eyes widened.

"Combine far Abelian geometry with automorphic forms? Starting from Kuznetsov trace formula and p-adic Hodge theory?"

Maynard thought about it for a while, and immediately realized that the other party must have read the three papers he published in June, and then sent an email to discuss with him.

He continued to look at the email, and saw Xiao Yi continued to introduce it below.

[The problem now is that we need to complete a key proof, so that from the perspective of p-adic Hodge theory, the far Abelian geometry can be completely algebraized, so that we can discuss it on the Dirichlet L function, thereby achieving the unification of the two. Assuming that such a proof is successful, I just tried it briefly and can easily expand the distribution level θ of prime numbers to more than 0.7. If you can combine the method used in your paper, this value must be able to be further expanded, and there is a chance to expand it to 1. ]

"Easily expand to more than 0.7? And there is a chance to expand it directly to 1?"

Expanding to 1, isn't it equivalent to directly proving the Elliott-Halberstam conjecture?

Maynard couldn't hold back his anxiety and directly downloaded the PDF document attached by Xiao Yi in this email.

He started to read it.

Then, just reading the first part surprised him.

In the previous part, Xiao Yi mainly talked about the new method developed in his three papers, and made a simple supplement to this new method. Then, in just four pages, he raised the value of θ to 0.65, which is 0.033 higher than the student named Lichtman he just praised!

"Isn't it said that this young man is studying far Abelian geometry? How come he knows so much about analytic number theory?"

Maynard thought so in his heart, but it did not affect him to continue reading.

Xiao Yi's PDF document has 15 pages. The first five pages discuss Maynard's three papers, and the last ten pages discuss the possibility of combining far Abelian geometry with automorphic forms.

His three papers originally mainly used the Kuznetsov trace formula in the theory of automorphic forms, so for him, even if he didn't understand far Abelian geometry very well, he could roughly understand how important the combination of the two is.

In this way, time passed quickly, and he didn't leave even when it was time to get off work.

His students ate on time.

However, when these Oxford University graduate students returned here, they found that their tutor was looking at the ceiling, thinking about something.

Li Qiman, who had just been praised today, boldly asked jokingly: "Professor, are you thinking about whether God exists now?"

Maynard finally came back to his senses and said, "No, I am thinking about whether I should go to China."