Chapter 177

Although the mathematical direction of minimalist is unpopular, it does not mean that no one has studied it.

As a rough calculation, there are at least five or six hundred mathematicians around the world who are working in this direction.

Among them, there are many professors from the world's top universities.

Charlie Mitchell, is one of them.

Charlie Mitchell, a professor in the Department of Mathematics at Harvard University, is one of the few mathematicians who is still working on the minimalist program.

At Harvard, he was alone.

Because apart from himself, there are no other mathematicians in the school who study the direction of the minimalist program.

But looking at the whole world, he is not alone.

As far as he knows, in many universities in the United States, there are mathematicians who study the program of minimalist models.

For example, at the Massachusetts Institute of Technology, another top university in the world where Harvard University is located, there are two professors who are currently working on a project related to the minimalist program.

Because of this fate, he also became good friends with the two professors at MIT.

From time to time, they will have a passionate and lively discussion on the problem of the miniature model just collaring.

However, in their discourse, they also often express concern about the direction of the entire minima.

This direction has been silent for too long.

This time has come for a long time, and most mathematicians seem to have forgotten that in the field of geometry, there is another branch, which is called the program of minimalized models.

Perhaps, with the gradual passage of time, this geometric branch will really be washed away by the years.

became, only an inconspicuous text recorded in the history books.

What Professor Charlie sensed was a gloomy future.

This future does not refer to his personal future, but to the future of the entire minimalist program.

If there is no major breakthrough in this field in the next few years, it is almost inevitable that it will continue to decline.

At present, there are at least five or six hundred mathematicians working in this direction.

But at the current trend, in five years' time, I'm afraid that a hundred mathematicians will be left in this field.

Professor Charlie was desperate.

It wasn't until three months ago that Professor Charlie rekindled hope.

After being reminded by a colleague, he knew that someone had published a paper in a journal called "Mathematical Monthly".

The content of the paper is the solution of the first problem of the minimum model program.

Professor Charlie was ecstatic, and immediately went to the latest issue of the Mathematical Monthly, and sure enough, the first paper in the journal's catalogue was the one on the first problem of the minimalist model.

The paper was written by two Chinese.

Professor Charlie was stunned for a moment before turning to the position of the paper and reading it little by little.

He read the paper for three hours.

Three hours later, Professor Charlie burst out laughing.

"Correct! The solution of this paper is correct!" Professor Charlie was overjoyed to learn that the solution in the paper was correct.

However, after calming down, Professor Charlie, who realized a problem, was diluted a lot of joy.

It is a good thing that the first problem of the minimalist program has been solved.

But if it's just the first question, it's not useful at all!

The concept of minimalist schema plays a great role in the structure and classification of high-dimensional algebraic clusters.

However, due to the existence of the first and second problems of the minimalist program, it has not been directly applied to the study of algebraic clusters.

Unless......

The first and second questions of the minimalist are removed.

However, the two problems of the minimalist program are not arranged horizontally, and everything will be fine only if one is removed. Rather, two mountains, arranged longitudinally.

After moving one, there is one in the back.

There is only one way to get out of the current state of sitting on the cold bench and become a hot research field in the world.

That's ...... The two major problems of the minimalist program have been solved!

It's not very useful to solve only one of them.

But just because it's not useful doesn't mean it's useless.

At the very least, you can barely give a sigh of relief to the minimalist program so that it does not decline quickly.

Even, in a short period of time, a lot of vitality can be stimulated.

This is also the only point that makes Professor Charlie feel comforted by the great loss.

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

The truth is just as Professor Charlie had envisioned.

Within three months, Professor Charlie himself had learned.

Recently, at least nearly 10 research groups have been established around the world on the minimalist program.

His main work is to solve the second problem of the minimalist program according to the paper that solved the first problem of the minimalist program.

Many of the master's and doctoral students, after some consideration, also take the minimalist program as their graduation topic.

Professor Charlie himself, with the support of the university, is also working on the second problem of the minimalist program with two doctoral students who are about to graduate this year.

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

On Sunday, Professor Charlie woke up at half past six on time.

As a researcher, Professor Charlie has maintained good habits.

So even though he is in his thirties this year, he still maintains a thick hair volume on his head, and he is really a clear stream among mathematicians.

Reading through Arxiv's articles every Sunday morning is a long-standing habit for Professor Charlie.

In the matter of scientific research, it is not possible to do it behind closed doors.

It is essential to grasp the latest achievements in the industry and keep up with the cutting-edge hot directions.

And Arxiv, the website, is a good way to go.

Not only some grassroots scientific researchers, but also most of the top scholars will upload the latest research papers on this website.

A glass of milk, a stack of bread slices.

Charlie was eating breakfast while browsing Arxiv.

The first thing Charlie reads is naturally some big bull articles.

In the past week, a number of big names have uploaded some preprints of papers on Arxiv.

Charlie swiped down the title at a glance, opening one or two of the articles from time to time, but quickly exited the reading interface.

Although the quality of the articles of those big names is high, most of them are research fields that are not related to Charlie.

Even the few articles on geometry were papers on differential geometry, not algebraic geometry with which he was familiar.

Then, Professor Charlie entered the "Algebraic Geometry" section and browsed the titles of the articles in chronological order.

Turning to the fifth page, Professor Charlie's gaze casually swept from top to bottom.

But when the gaze fell on the title of an article, the gaze suddenly froze!