Top Student at Their Peak-Chapter 196 - 103: The Proud Youth, Commanding with Vigor

The first day’s lecture ended.

After presenting the latest results, Robert Green began to explain the research process with his team. ƒreewebɳovel.com

For the professors and doctoral students attending the lecture, the research process was evidently more important than the conclusions, as this was the real core content. It involved the use of a series of mathematical tools, the methods of which often provided ideas for everyone’s research.

This very thought is what the exchange of mathematics is about.

Mathematical tools themselves are neutral and widely applicable. Different researchers may use these tools in unique ways in their specific fields, creating new ideas and methods.

Although no new mathematical tools were created in this process, being able to achieve this is already quite an accomplishment for a mathematician.

As for those who occasionally create mathematical tools, like Isaac Newton who developed calculus, John von Neumann who worked on game theory, David Hilbert who created the Hilbert space, along with Riemann, Gauss...

and those still alive, such as Edward Witten,

the status of these people in the mathematical community is probably no different from the grandmasters of various sects in fantasy novels.

Peter Schultz is praised by the Western mathematical leaders and is hailed as the greatest young mathematician precisely because his work opens up a series of new mathematical tools and methods.

It’s just that he is still young; decades later, he will likely be regarded as a master by future generations.

If he could truly solve a series of problems related to the Langlands Program within his lifetime, his status in surpassing predecessors like Newton, Hilbert, Gauss, and Grothendieck might be debated, but equaling them would be unquestionable.

After attending the lecture, Qiao Yu did not know if others gained anything, but he indeed benefited quite a bit.

The main gain was a deeper understanding of the Chabauty method. This Professor Robert developed a local modification technique that advanced the application of Chabauty, specifically by using Padé approximation and local height theory to more precisely control the distribution of rational points at different locations on a curve.

Another approach involved solving homogeneous indeterminate equations within the p-adic range and using local geometrical information in p-adic analysis to restrict possible rational points. This is particularly suitable for curves with low deficiency but still complex geometric structures.

Similar techniques were used by Qiao Yu when he was writing his paper, but obviously not as smoothly as the methods developed by this professor and his team.

In any case, after attending the lecture, he felt quite grateful for the journal that had accepted his paper.

Compared to others, the methods he used seemed quite LOW indeed.

The only highlight was probably the small improvements he made to the classical elliptic descent method when solving it.

Of course, he initially did not know about this highlight; it was Xue Song who pointed it out to him.

Today’s lecture did not have a Q&A session. It was said that the more specific exchange and Q&A session was scheduled for the third day’s lecture.

However, after the lecture, Professor Robert on the stage was still surrounded by several professors in the front row. Obviously, everyone was not satisfied with the last day’s discussion. Qiao Yu originally wanted to join the crowd to get acquainted with them, especially to get closer to Director Tian, but was stopped by Xue Song: "Let’s go, we have work to do."

"Huh? Busy with what?" Qiao Yu was a bit confused and then glanced at Director Tian not far away, but unfortunately, Director Tian did not look at him.

"Are you planning to go with just this manuscript to the temporarily convened discussion meeting this afternoon? You need to edit your manuscript this noon, enter it into the computer, and then print at least ten copies. Do you still feel very idle? Will you skip lunch?"

Besides, you have to think about how to explain your ideas to the professors participating in the discussion. The afternoon session is forty-five minutes, and you have to talk for at least half an hour. If you’ve talked to everyone now, what about the afternoon?" Xue Song was busy reminding this teenager beside him.

He was almost bursting with envy inside.

That’s just because of Tian Yanzhen.

If it were another mentor, even if they wanted to boost their student like this, they would probably not have the courage, and even if they did, they wouldn’t have the resources.

A forty-five-minute seminar isn’t something that can be organized casually. First, it needs to be ensured that everyone will give face and attend.

For example, if he organized this seminar and casually told the distinguished professors that the content of the seminar is to discuss some mathematical ideas of my fifteen-year-old student, although he hasn’t been able to prove them and they are quite immature, I think they are very interesting.

People wouldn’t directly kick him out of the door, but they would probably politely show him out, then directly put him on the blacklist, never having any dealings in the future.

But Old Tian is different. Even if there are complaints in their hearts, they will most likely smile and agree.

Some might even feel honored to receive the invitation.

Alas...

It can only be said that people’s status differs, perspectives differ, and decisions are completely different. It’s not about vision or not, but simply about controlling more resources, being less concerned with others’ opinions, especially when doing things that don’t violate any principles.

This is the same among individuals as it is among nations.

For example, if Huaxia suddenly popped out 20 or so aircraft carrier battle groups, fifth-generation fighter jets, thousands of bombers, and then said to the whole world, "This year, everyone must watch the Spring Festival Gala together, especially our rich friends living at the village’s west end, hurry and buy the broadcasting rights."