The Military-industrial Scientific Research System of the Academic Master Chapter 819

Chapter 819 Two ways of proof

Perelman himself understands the problem, but does not 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 drive away.

Among these people, Perelman only had a brief encounter with Tian Gang, and as for the remaining few, he really had little 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 surname who has appeared in a well-known mathematics journal - although the field of theoretical mathematics in China is a bit thinner, it is not so shabby.

Mainly those who are 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 a lecture, but they will certainly not join in the fun.

That's why there was this rather embarrassing scene—

Of course, it's definitely not Chang Haonan and Perelman who are 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 on your side…”

This question was somewhat inappropriate, and the atmosphere at the scene did not really relax.

Tian Gang looked at the retreating figures of the group over there and sighed softly:

“I have no choice, I bumped into this guy, so I can only postpone it for a few days.”

To say he is depressed, he must be depressed.

After preparing for so long, only to be upstaged by a school that is not good at mathematics at all, who are you going to explain to me?

But it's not like he has nothing to do.

At least at this time, Perelman was not among the most influential mathematicians.

After all, he hasn't won the Fields Medal yet.

Hence, 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 been publicized as early as the beginning of the year, so on the day when the lecture was scheduled, the venue was already packed more than an hour before the official start.

In addition to professors and researchers, there are actually many students.

Some of them 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, today's title is displayed on a huge curtain—

《Reduced Volume and Non-local Collapse Theorem》

ˆ and slightly below, indicate the inviter of this lecture:

Professor Chang Haonan.

“Chang Haonan...is he Chang Haonan who proved Chang's Lemma last year?”

In the back row, a student-looking audience member whispered to the companion next to him.

Obviously, this name is not as famous in the mathematics world as it is in the aviation world.

“It should be so. 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, so it is unlikely that there will be two people with the same surname…”

Of course, more people are still paying attention to the topic of today's lecture.

It's not that Chang Haonan is unimportant.

Instead, it means…

“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 Tian Gang 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 started doubting life——

More than just 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 hasn't heard of it either.

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 strange habit. He sometimes publishes 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 this possibly a new achievement?”

“Hmm…it's possible.”

Tian Gang nodded:

"But strictly speaking, any result cannot be called a theorem before it is widely recognized by the mathematical community..." Having said that, almost everyone who heard this conversation made the same move in unison. .

Take out the notebook.

Open.

Take out the pen.

Prepare records.

The reason why I say almost is because some people are still busy borrowing pens and paper from around, so the response is a few beats slow...

Actually, we can't blame them for not bringing pens on such occasions.

This kind of lecture, whether at home or abroad, is actually not of high academic value.

After all, in most cases, what you talk about is what you have already published.

And these contents have already been seen by those who should see them.

So the core 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 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 paper published by Professor Chang Haonan in the Annals of Mathematics in December last year.”

His English still has a peculiar accent and vibrato, but it is obvious that he has deliberately slowed down his speaking speed to ensure that most people can understand him.

So, when 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 had discussed with him via email, he was already prepared for his name to be mentioned. Prepare.

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'm going to show you how to give a local injective radius on a specific higher-order manifold.”

After speaking, 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 turning the pages of the PPT...

Hour and a half.

A full hour and a half.

Perelman spoke with ecstasy.

The audience in the audience was in a state of ecstasy.

The Ricci flow on high-order manifolds is extremely abstract. In addition, it has not been long since Chang Haonan's paper was published. Not everyone can understand it and use it flexibly like Perelman.

Therefore, except for Chang Haonan, who had seen this idea a long time ago, 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 not 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.

In any case, they all witnessed history at least once today.

It's 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.

Erase what you have already written.

“The demonstration I just gave is a wrong example.”

Chang Haonan truly realized for the first time that "a gasp" really made a sound.

He suddenly felt a little sorry for the hundreds of listeners today.

“Of course, this does not mean that this proof itself is wrong.”

Perelman's next words 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)

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