Chapter 819 Two Proof Methods
After all, Perelman understands it, but he doesn’t like this exaggerated pomp.
Perhaps this is one of the reasons why he chose to retire after proving the Poincaré conjecture.
So, in the end, these dozens of people were dismissed.
Only a few people with high enough status are left behind who are really difficult to get rid of.
Among these people, Perelman only met Tian Gang once, and as for the remaining few, he really didn't have much impression.
So after Chang Haonan introduced them, they just said hello and walked to the hotel lobby with the other people who got off the car.
It’s not that China can’t even find a third scholar with a name and a name who has appeared in a well-known mathematics journal - although China’s theoretical mathematics field is a bit stout, it is not so shabby.
The main ones here today are either researchers in the field of differential geometry or leaders of several colleges or schools with strong mathematics majors.
Inside these people. There is really no one that is too famous.
Scholars from other unrelated research fields may come to listen to the lecture, but they will certainly not join in the fun.
That’s why there was this rather embarrassing scene——
Of course, it was definitely not Chang Haonan and Perelman who were embarrassed.
“By the way, Professor Tian.”
Perhaps to lighten the atmosphere, someone suddenly asked Tian Gang next to him:
"I remember that according to the arrangement, Professor Perelman's report should be scheduled for tomorrow morning, so where are you..."
This question is somewhat inappropriate, and the atmosphere at the scene has not really relaxed. .
Tian Gang looked at the retreating figures of the group over there and sighed softly:
"There is no way, I crashed with this guy, I can only postpone it for a few days. ”
To say he is depressed, he must be depressed.
After preparing for so long, you end up being upstaged by a school that is not good at mathematics at all. Who are you going to talk to to explain this?
But he is not at all helpless.
At least at this time, Perelman was not among the most influential mathematicians.
After all, he hasn’t won the Fields Medal yet.
So, Tian Gang's idea is also very clear. He just needs to use his connections to find a way to hire a higher-level boss.
Thinking of this, he had already begun to select suitable and possible candidates in his mind...
...
Perelman's visit had already been publicized as early as the beginning of the year. Therefore, on the day when the lecture was scheduled, the venue was already packed more than an hour before it officially started.
In addition to professors and researchers, there are actually many students.
Some are mathematics majors and really want to listen to something.
There are also some who are just joining in the fun.
At the front of the lecture theater, on the huge curtain, today's title is displayed -
"Reduced Volume and Non-local Collapse Theorem"
And a little further away The next point indicates the inviter of this lecture:
Professor Chang Haonan.
"Chang Haonan...is this Chang Haonan who proved Chang's Lemma last year?"
A student-looking audience member in the back row asked his companion in a low voice.
Obviously, this name is not as famous in the mathematics world as it is in the aviation world.
"It should be. I remember that Chang's Lemma is also a result in the field of differential geometry, and is very close to Perelman's research direction..."
The companion next to him replied:
"And there are very few scholars studying this field in our country. It is unlikely that there will be two people with the same surname..."
Of course, more people are still paying attention to the title of today's lecture.
That’s not to say that Chang Haonan is unimportant.
Rather...
"Professor Tian, this non-local collapse theorem, pardon my ignorance, is it the latest achievement in the field of differential geometry?"
Another professor sitting next to Tazuna asked with a slight frown.
He feels that even if China’s research level in this area is not high, it should not be able to understand other people’s results.
However, today I didn’t even see the speaker, so I immediately doubted my life——
Not only the results, why can’t I even understand the title?
But Tian Gang also hesitated for a moment, and then shook his head:
"Non-local collapse is a very common concept, but the theorem..."
Obviously, he has not heard of it.
But as a scholar who gave a 45-minute report at the International Congress of Mathematicians, he still has a lot more knowledge:
“However, it is said that Perelman has a very He has a weird habit of publishing his results directly without going through any journals."
"Is there such a person?"
The professor next to him was immediately shocked:
"In other words, is it possible that this is a new achievement?"
"Well... it is possible."
Tian Gang nodded:
"But strictly speaking, any result cannot be called a theorem before it is widely recognized by the mathematical community..." Even so, almost everyone next to him heard this paragraph Everyone who was talking to them all made the same move.
Take out the notebook.
Open.
Take out the pen.
Prepare records.
The reason why I say almost is because some people are busy borrowing pens and papers from around, so the reaction is a few beats slow...
Actually, you can't blame them for not bringing pens on such occasions.
This kind of lecture, whether at home or abroad, does not have high academic value.
After all, in most cases, what you talk about is what you have already published.
People who should see this content have already seen it.
So the core still depends on the influence of the person standing on the stage.
It’s just that I met such a strange person today.
While everyone in the audience was guessing about the content of today’s lecture, Perelman finally appeared on the stage, wearing a neat suit.
But his first sentence did not mention himself:
“I think everyone here should have read the article published by Professor Chang Haonan in the Annual Journal of Mathematics in December last year. The paper on ”
His English still had a peculiar accent and vibrato, but he obviously lowered his speaking speed deliberately to ensure that most people could understand him.
So, after this sentence ended, everyone's eyes turned to the edge of the first row.
Chang Haonan is sitting there.
He had previously known the title of Perelman’s lecture today. Although he did not know the content, considering that the non-local collapse theorem was something that the other party and he had discussed via email, he was not concerned about his name being mentioned. It was already mentally prepared.
Facing hundreds of looks, Chang Haonan just turned around slightly, smiled and nodded.
"Based on Chang's theorem, I discovered another rule."
Perelman turned around and pulled several blackboards to his side.
For mathematicians, even if they have PPT and projectors, they often prefer traditional tools such as blackboards or pen and paper.
“Next, I will show you how to give the local injective radius on a specific higher-order manifold.”
After saying that, he began to write quickly on the blackboard.
"Let g(ij) be a complete manifold on M, and satisfy g(ij)/γ=2R(ij)..."
The secretary next to him also started to follow his steps and kept giving PPT Turn the page...
One and a half hours.
A full hour and a half.
Perelman spoke in a fascinating way.
The audience in the audience was in a state of ecstasy.
The Ricci flow on higher-order manifolds is extremely abstract. In addition, it has not been long since Chang Haonan's paper was published. Not everyone can understand it like Perelman. Then use it flexibly immediately.
Therefore, except for Chang Haonan, who had seen this idea before, he basically didn’t understand it.
Including Tian Gang.
But he is better than others, at least he can barely keep up with his thinking.
Of course, this is nothing unusual for theoretical mathematics.
After all, it is a new theorem. Let alone a lecture, even a paper will take several days or even months to study.
So, everyone has written down Perelman's proof process diligently.
Go back and take a look.
No matter what, they all witnessed history at least once today.
Not a loss.
However, at this time.
Perelman turned around and picked up the blackboard eraser from the table next to him.
Then, I returned to the blackboard.
Everyone in the audience suddenly felt an ominous premonition.
Sure enough, Perelman took a deep breath.
Then.
“Shua——”
Erase what you have written.
“The demonstration I just made is a wrong demonstration.”
For the first time, Chang Haonan truly realized that the "gasp" really made a sound.
He suddenly felt a little sorry for the hundreds of listeners today.
“Of course, this does not mean that the proof itself is wrong.”
Perelman’s next sentence finally calmed down the audience whose hearts were about to stop beating.
“It’s just that after I sent this conclusion to Professor Chang, he showed me a more subtle solution.”
(End of this chapter)