Chapter 468

Next.

The first International Geometry Symposium was held at the headquarters of the Swedish Mathematical Society.

There were 412 mathematicians present, including three winners of the Philippine Prize and eight winners of the Wiblen Prize.

Cheng Nuo, as the invited speaker of this session, was arranged to appear in the third place.

One of the two scholars who took the stage to give academic presentations before him was a Fields Medal winner, and the other was a veteran mathematician who had won the Wiblen Prize.

Since the number of participants was not too large, and the invited mathematicians in the field of geometry were invited, there were no breakout sessions.

All presentations are conducted in the same auditorium.

Each invited speaker will have 50 minutes to give a presentation.

The meeting lasted a total of four days.

The first two days are academic reports, and the last two days are academic exchanges in the form of discussions.

Without going into too much detail, the current president of the Swedish Mathematical Society gave his first academic report after giving a brief speech.

Cheng Nuo took out his notebook and recorded it with a pen while listening.

Knowledge is infinite.

In the field of geometry alone, Cheng Nuo didn't dare to say that he had comprehended seven or eight out of ten.

Listen to the lectures of the Philippine Award boss for free, this kind of opportunity Cheng Nuo will still cherish very much.

............

There will be a short break between each presentation.

After the second lecture, Cheng Nuo was taken backstage by the staff to the auditorium.

To tell the truth, it was really the first time for Cheng Nuo to give an academic report on such a major occasion, and he didn't understand any rules, so he could only be dragged by the staff like a puppet.

checked the PPT used in the report, simply drew a light makeup, and after the crew asked Cheng Nuo if he had any other needs, he took Cheng Nuo to the entrance on the side of the stage.

Outside, the vice president of the Swedish Mathematical Society, who temporarily played the role of moderator, was still announcing the curtain.

"The next academic speaker is Professor Cheng Nuo from the Massachusetts Institute of Technology, who you must all know, but as usual, I still want to introduce his achievements to you. ”

"The proposer of Cheng Nuo's theorem and Cheng's complex ring conjecture, and the proof of the three major conjectures of Jacobi conjecture, Taniyama Shimura conjecture, and Cheng's complex ring conjecture!

Next, we will invite Mr. Cheng Nuo, who is known as the 'mathematical genius', to give us an academic report. Look at what kind of surprise he can bring us this time!"

Bang Bang Bang ~~!

There was applause from the bottom of the auditorium.

At the entrance, Cheng Nuo took a deep breath, calmed down the tension in his heart, took the microphone, and walked to the stage calmly.

There were more than 400 people, and at a glance, they were all densely packed with human heads.

That's more than 400 mathematicians, not more than 400 cabbages.

Under the glance of those wise and transparent eyes, Cheng Nuo had a feeling of being on his back.

The mentality still needs to be practiced again!

Cheng Nuo smiled bitterly in his heart, hurriedly looked away, and returned his attention to the academic content he was about to tell.

The projector projects the title of Cheng Nuo's report onto the screen.

"Minimal Model Programming Problem in Double Rational Geometry"

Seeing this problem, many mathematicians below were surprised.

Of the more than 400 mathematicians present, only a handful of them were able to tell Cheng Nuo about the proof process of the previous two conjectures.

Among the very few people, only Professor Fresnel knew that the topic of Cheng Nuo's speech today was a minimalist program.

Therefore, the people below were surprised at first, and then their eyes became playful.

To be honest, they didn't expect this one.

However, they are not optimistic about Cheng Nuo.

To be precise, double rational geometry is a branch of algebraic geometry, but it is a less popular one.

The minimalist program is one of several unpopular directions in birational geometry.

The unpopular of the unpopular.

It is not an exaggeration to describe the place of the minimalist program in the geometric world.

Moreover, the minimalist program is not only unpopular, but also very complex.

Since the concept of the Miniatures program was proposed in the 80s of the last century, there have been two mountains in front of it:

The first question of the minimalist program and the second problem of the minimalist program.

If these two mountains are not removed, the most convenient straight path for the study of the minimalist program will be completely blocked, and if you want to study, you can only take a long detour, and it is a big circle.

This discourages many people.

In the last century, there was an endless stream of mathematicians who came to move mountains, but they found that even the tip of the mountain was difficult to pry, and after entering the millennium, it became a place that no one cared about.

Cheng Nuo chose the minimalist model as the theme of his talk today, and in their opinion, it is nothing more than a study by bypassing a circle of complex formulas and theorems.

Unless......

No way!

They directly rejected that unrealistic speculation in their minds.

Such a short time!

For a moment, they thought of Cheng Nuo's demonic experience, and the sure thought in their hearts became shaken.

If that person is Cheng Nuo, maybe, probably, maybe, there will be that possibility.

On the stage, Cheng Nuo cleared his throat, and a loud voice spread throughout the auditorium, "For a given algebraic cluster, we must be able to generalize the blo don operation or flip operation, and after a finite number of operations, we can get a geometric 'minimameter', which is the definition of the minimalist program." ”

"And we all know that there are two important problems in the field of minimal model programming. Cheng Nuo held up a finger, "The first question of the minimalist program is to ask about the existence of this flip operation. ”

Cheng Nuo held up a second finger, "The second question is whether the flip operation stops after a limited number of operations. ”

"These two problems have always been considered to be the two mountains that hinder the continued research of the minimalist program. ”

"In the early days, I took a moment to study it, and found that the rumors were indeed exaggerated. Cheng Nuo smiled, "The two major problems of the minimalist program are not as terrible as rumored. ”

Cheng Nuo's words made the faces of everyone below stiffen.

Listening to Cheng Nuo's tone, this guy really won't solve the minimum model program, right?

Cheng Nuo ignored the reactions of the people below, turned to the next page of PPT, pointed to the projection on the screen and said, "Let's first talk about the first issue of the minimum model program." ”

"The existence of the flip operation? This question may not be easy to answer before, but I can clearly tell you here that this operation exists. ”

"Why?" Cheng Nuo spoke quickly, "You can take a look at a few of the formulas here. ”

"We first give pairs (X,△), assuming that there is a positive integer m, such that m(Kx+△) is a Kajiye divider, then Kaanmata logarithm is terminor, if discrep=(X,△)>-1 and [△]≤ 0. ”

"Next ......"