Rebirth of science and technology academic master

Chapter 192: Field of Algebraic Geometry

January 17, 2012.

Basically all private companies have started their holidays, and the Spring Festival is the busiest time. At this time of year, the train stations are crowded and the endless queues are a unique portrayal of the Spring Festival. According to the transportation department’s forecast, this year’s During the Spring Festival travel rush, passenger traffic will reach an astonishing 3.158 billion.

On this day, the National Bureau of Statistics released data: at the end of 2011, the urban population in mainland China was 690.79 million, and the rural population was 656.56 million. The urban population accounted for 51.27% of the total population, surpassing the rural population for the first time.

This data also shows that China's reform and opening up has achieved remarkable results in the past 30 years. After all, urbanization is an important indicator of modern society.

At the same time, the National Bureau of Statistics also released statistics on GDP in 2011. After preliminary statistics, the GDP was 47.31 trillion, an increase of 9.3% over the previous year at constant prices. The average annual exchange rate of RMB against the US dollar was 6.4588. According to calculations, China's total GDP in 2011 was approximately US$7.325 trillion, surpassing the second-place Japan by US$1.5 trillion, and already leaving Japan behind. As for Germany, which China once looked up to, its GDP was only half of China's.

When China announced its latest GDP, the theory that GDP is useless began to rise one after another. According to Zhuanjia, the concept of total GDP is wrong and meaningless. The concept of GDP per capita should be used. China's GDP is far inferior to Germany's. , Japan.

Anyway, it just means denying the achievements of China's social and economic development.

I don’t know how many of these brick-and-mortar merchants have received money privately, and their hearts have turned dark. They were the ones who advocated the total GDP at the beginning, and now they are the same ones who advocate the futility of the total GDP. He slapped himself in the face, but it didn't matter. It was said to be calm and just.

Qin Yuanqing has always been optimistic about the development of his motherland. Qin Yuanqing is also proud of the achievements of his motherland.

But at this time, Qin Yuanqing was focusing on the BAB conjecture. The BAB conjecture, whose full name is Borisov-Alexeev-Borisov conjecture, was independently proposed by the Borisov brothers and Alexeev in the 1990s.

The specific content is that under reasonable assumptions, Fano varieties form a bounded family. In any certain dimension, Fano varieties with slight singularities can be marked with a limited number of parameters.

Although BAB guess is young, only in his twenties, its difficulty and research significance are extremely high.

Therefore, the BAB conjecture is listed as one of the most difficult conjectures in the field of algebraic geometry.

You know, the field of algebraic geometry has brought together a large number of mathematical geniuses from all over the world.

But so far there has been no news that the BAB conjecture has been conquered, which shows how difficult this conjecture is.

Although the BAB conjecture is not as difficult as the seven millennium conjectures, it is not much different.

Qin Yuanqing also saw someone discussing the BAB conjecture on the forum, which aroused his interest, and he thought about trying to conquer it.

Qin Yuanqing has always been labeled as an expert in number theory. There is no mathematician in the world whose number theory surpasses him. This makes people overlook that Qin Yuanqing is not only good at number theory, he is also good at other fields of mathematics.

Therefore, thinking that there would be nothing to do during the Spring Festival for more than half a month, Qin Yuanqing decided to choose the BAB conjecture as his research topic.

Of course, unlike others who determine research topics and then submit reports to apply for scientific research funding, Qin Yuanqing did not apply for funding because Qin Yuanqing still ignored the hundreds of thousands or millions.

"To solve the BAB conjecture, you must solve the minimal model program. This minimal model program is the key to unlocking the BAB conjecture." Qin Yuanqing soon discovered that to solve the BAB conjecture, it is best to solve the minimal model program. .

The so-called minimal model program is a problem of birational geometry in algebraic geometry.

For a given algebraic variety, we must be able to generalize the blow down operation or flip operation. After a limited number of operations, we can obtain a geometrically minimal model. This is the minimal model program.

The minimal model program is very unpopular, but that does not mean that its academic value is not high. On the contrary, the concept of minimal model program is of great help to the study of the classification and structure of high-dimensional algebraic varieties.

However, mathematicians are currently unable to directly apply the minimal model program to the study of algebraic varieties.

The reason is very simple. In the minimal model program, there are two major problems, namely the first problem of the minimal model program and the second problem of the minimal model program.

These are two big mountains that stand in front of all mathematicians who study the minimal model program. They imprison the minimal model program like shackles and then shelve it.

To put it simply, if you want to apply the minimal model program to the study of high-dimensional algebraic varieties, you must solve two major problems of the minimal model program.

A few years ago, many mathematicians tried hard, but all ended in failure.

As time goes by, there are fewer and fewer challengers, and this research direction becomes more and more unpopular.

The doctoral thesis he assigned to his doctoral students in algebraic geometry was to prove the Cohen-Lenstra conjecture in the field of algebraic geometry.

This minimal model program problem is much more difficult than the Cohen-Lenstra conjecture.

"Interesting!" Qin Yuanqing used a little effort to solve the first problem of the minimal model program with two pieces of paper. What is more meaningful about this proof is that it introduces the concept of drawn K clusters.

Not only can abstraction K-categories simplify some geometric descriptions, but also the definition of divisor on abstraction-category K-categories is exactly the definition of D divisor.

In this case, it is very simple to perform shrinkage mapping on an algebraic variety that is not extremely small, and shrink some of its subclusters into subclusters with lower dimensions!

On the plane to Hengdian, Qin Yuanqing wrote the paper "On the Solution to the First Problem of the Minimal Model Programme". As before, it is still divided into Chinese and English versions.

For Qin Yuanqing, it was too simple to organize a two-page paper, so when the plane just reminded him that the plane was about to arrive at Hengdian Airport, Qin Yuanqing had already completed editing the two papers.

Then Qin Yuanqing got off the plane. His salute was very simple, just a suitcase and a laptop bag.

Qin Yuanqing did not send the paper "On the Solution to the First Problem of the Minimal Model Program" to journals. After all, with the weight of the first problem of the Minimal Model Program, it is still difficult to get into the four major journals, and he can only go to the second echelon. A regional journal,

But when he solves the second problem of the minimal model program, proves the BAB conjecture, and forms a complete argument system, it will be different. By then, the four major journals will even be willing to publish a special issue on Qin Yuanqing's paper. .

After all, the status of the BAB conjecture is no worse than the twin prime conjecture, Zhou's conjecture and the hail conjecture. It is definitely a Fields Medal-level research result.

Whoever solves the BAB conjecture will become a big boss in the field of algebraic geometry, and whoever will be a popular candidate for the Fields Medal.

Just like when Qin Yuanqing solved Zhou's conjecture, it caused a sensation in the mathematics world, and then even Shuimu University wanted to let him graduate early. In fact, solving such a world-wide mathematical problem is a symbol of talent and status.

In the field of mathematics, if you want to become a big boss, you must either solve the world's mathematical problems or develop extremely valuable research.

Otherwise, he is not considered a big boss.

Qin Yuanqing arrived in Hengdian and inquired about the location of the "Nirvana in Fire" crew. "Nirvana in Fire" is a large-scale production jointly produced by Qingtian Entertainment and Tangren Film and Television. It was filmed in several locations, including Hengdian Film and Television City, Xiangshan Film and Television City, Wuxi Water Margin City, the Prairie of Western Zhejiang, Yandang Mountain, etc. It can be said that it has sufficient funds. When actors' remuneration is relatively small, "Nirvana in Fire" can be called luxurious.

It was also at this time that after Hu Ge's car accident a few years ago, he was immersed in dramas and his reputation plummeted. Otherwise, one person would have to take a large share of the salary.

As for the other members of the crew, the most famous one is Jingtian, and the others are either newcomers or not well-known, and their required pay is relatively low.

The entertainment industry is even more terrifying than the 80/20 rule. It’s really the first-tier stars that make up the majority, the second-tier stars drink soup, and the third-tier stars are just like white-collar workers. People who don’t even count third-tier stars are even worse. They live in You have to live in a room with others.

We have arrived in the era of short videos. Good-looking women with beauty tools, even if they are not even third-tier celebrities, can still act cute. Diaosi men can make money by giving rewards and howling with red eyes. Luxury cars, luxury homes.

When Qin Yuanqing arrived at the crew of "Nirvana in Fire", he saw Hu Ge dressed as an ancient man in a long robe. I have to say that this Hu Ge is really a handsome guy. Compared with the original Li Xiaoyao, Hu Ge after the precipitation at this time has a... The charm of a mature man.

Qin Yuanqing also discovered that the costumes and props of the "Nirvana in Fire" crew were much better than those in the previous life. They were two different concepts.

But it’s normal to think about it. Although Tangren Film and Television has filmed several TV dramas with high ratings and is well-known in the industry, it is actually a hard worker. Haha, the costumes and props of the TV drama crews they filmed are not good at all, and the training under his command Female celebrities also chose to leave after entering the front line.

If Tangren Film and Television were great and had good resources, not many artists would choose to leave.

Not far away, Jingtian was wearing armor. Apart from his beautiful appearance, he also had a sense of heroism, making him feel like a woman and a man.

Qin Yuanqing watched the crew filming with great interest. It was different from watching on TV. Watching it live was very interesting. The sound was not that nice, but there was no number of people.

Obviously at this time, actors still have basic ethics, like a certain female star in the previous life who directly performed a picture-grabbing performance, with all kinds of little fresh meat saying "one, two, three, four". . . . . . And what's damning is, those fans shouted one by one that the little brother is so hardworking and dedicated in acting!