From failed candidate to chief scientist

Chapter 103 Masur’s Torsion Theorem

On the second day of the World Congress of Mathematicians, various academic reports began.

Lin Mo looked at today's schedule. The reports were divided into several lecture halls and were filmed from 9 a.m. to [-] p.m.Today's report is basically made by yesterday's award-winners, reporting on their award-winning results.

Lin Mo thought for a while and decided to listen to the report of Barry Mazur, the winner of the Chen Shengshen Award.

Mazur's main research was in geometry and topology. In particular, he took the lead in conducting research on arithmetic topology and can be said to be a pioneer.

Lin Mo's recent research involves topology, and the more he studies topology, the more profound and complex Lin Mo feels about it, so he is very interested in Mazur's report.

Lin Mo came to the lecture hall early. Zhang Qihua did not come with him this time because Zhang Qihua would give a report early tomorrow morning. He felt that he was not fully prepared and felt a little unsure, so he stopped listening to the report and stayed silent. In the room preparing tomorrow's report.

Jiang Fanjun went to listen to the report of Mark Braverman, the winner of the Newang Linner Award.

Many people came to Mazur's lecture hall, and it was obvious that many people were interested in Mazur's report.

Lin Mo found a seat in the front row and sat down. Not long after, the time came and Masur slowly walked onto the stage.

Mazur's hair is snow-white, fluffy and gathered on his head, but does not look messy. He has the same snow-white beard on his chin and has a pleasant smile, which makes him feel very close to him.

"Hello everyone, I'm glad that you are willing to come and listen to an old man like me chatting."

Mazur started the show very humorously, with a strong voice and a loud voice. It was impossible to tell that he was an 84-year-old man.

"What I want to talk about today is the arrangement of elliptic curves in the algebraic torsion subgroup..."

After getting everyone's attention, Mazur began his story.

He was talking about one of the theories he created, Masur's torsion theorem.This theorem was first proposed by him. He described the theory in simple and easy-to-understand terms, and then explained the key points bit by bit.

Lin Mo below listened with fascination, and his thoughts were wide open. At the same time, he also saw many golden subject bubbles pouring out, which made Lin Mo drool. If the situation was not right now, Lin Mo would have wanted to rush directly. Go on stage and collect all those bubbles.

It was not until an hour and a half later that Mazur finally concluded his report.

"Everyone, the above is my report. I wonder if you have any questions?"

The mathematicians in the audience shook their heads. Mazur's report was exciting enough, and his speech was clear enough for everyone to understand. There is no problem for the time being.

But at this moment, a person raised his hand.

"Oh, he is a young man. We in mathematics need energetic young people."

Mazur smiled.

"So, what's your problem?"

Everyone followed Mazur's gaze and looked at the person who raised his hand.

The person who raised his hand was Lin Mo.

"Professor Mazur, I have benefited a lot from listening to your theory. I happen to be doing some research on topology recently. Here I would like to ask, can the twist you mentioned be used to exaggerate the dimensions? If so, is it still possible to exaggerate the dimensions? It can maintain the original characteristics of the topology. If you don't exaggerate the dimensions, what kind of transformation will happen if your twist here exceeds the limit you just mentioned? Will this transformation still satisfy the model you originally established? What are you doing in it? Can the finite points constructed on it still maintain their original properties? Or can finite points be used for infinite proofs?”

Lin Mo asked a bunch of questions in one breath.

This made Mazur slightly stunned, and he couldn't react for a while.After a while, Masur smiled and shook his head.

"I have to admit that some of the questions you asked, I have thought about and done research on, and some I haven't thought about yet, but you reminded me."

"For example, as you mentioned before, whether it is possible to boast dimensions, I think it is possible, but I am still conducting relevant research on the limit issue you mentioned. As for the issue you mentioned about proving the finite to the infinite, I think this This can probably only be left to you young people to finish."

Lin Mo's questions were obviously on point, so that even Mazur, the founder of the torsion theorem, could not answer them.

Everyone in the audience was in an uproar for a moment. They really didn't expect that every question raised by the young man was on the point, which stumped the reporter Mazur.Why didn't we think of these questions, but a young man thought of them instead?
No one in the audience would question Mazur's academic level because of this, so everyone couldn't help being curious about Lin Mo who asked the question.

"Young man, I'm surprised you're asking these questions. You've obviously really researched my twist theory in depth. May I know your name?"

"No problem, Professor Masur. My name is Lin Mo. I come from Dongshan University in Xia State. I am currently a graduate student."

Lin Mo had nothing to hide, so he introduced himself to his family openly.

"People from the Xia Kingdom?"

"postgraduate?"

Everyone in the audience took a deep breath.

Are Xia Guo's graduate students of such high standard?
At this level, you can only be a graduate student in Xia State?
"I just heard about your torsion theory, but it inspired me a lot. Moreover, it suddenly occurred to me that if combined with functional analysis, maybe we can analyze the limit problems caused by torsion."

"Oh, Professor Mazur, I suddenly had an idea. Can I go on stage and use the blackboard behind you?"

"of course."

Mazur stepped aside and made a gesture of invitation.

Lin Mo was not polite and immediately stepped out onto the stage. As he walked, he naturally took advantage of this opportunity to pocket the golden subject bubbles that Masur dropped one by one.

"Subject Bubble +3"

"Subject Bubble +3"

"Subject Bubble +3"

"..."

Lin Mo picked up the pen and started writing on the blackboard.

Just when Lin Mo and Masur were talking, several key inspirations suddenly appeared in his mind, which made Lin Mo's heart move. In order to record them as soon as possible and not waste the inspiration, Lin Mo then proposed to come on stage and borrow them. Blackboard requirements.

He did it purely for academic research, not to collect any subject bubbles.

No one understood what Lin Mo was going to do. They could only watch Lin Mo write calculations on the blackboard and build models one after another.

As the content written by Lin Mo increased, Mazur became more and more fascinated as he read it. Later, his mouth even grew larger, and his face was full of incredible expressions. Even later, Mazur's face was full of shock.

(End of this chapter)