Chapter 835: Seven Major Problems Revealed

As a doctoral student studying number theory, Arash himself, and even his teacher Andrew Wiles, did not have the ability to identify whether the content of this paper was valid.

But that's not important.

anyway.

Perelman, and of course one other person, jointly claimed to have proved the Poincaré conjecture.

This in itself is big news.

Big news that could shock the entire mathematical world.

Thinking of this, Arash no longer bothered to watch the TV introduction about Hodge's conjecture.

He used the fastest operating speed in his life to download the paper from the website, then opened it and took a look at the length——

The average length of contemporary mathematics papers is around 20 pages, and some longer ones may reach 40 pages.

It is more convenient to print it out and read it.

But since what others have proved is the Poincaré conjecture, it certainly cannot be inferred according to common sense...

Apparently, Arash was right to have concerns.

Just loading the PDF file took almost half a minute.

And when he pulled the progress bar on the right side of the document to the bottom and saw a three-digit page number, he almost spread his hands and lost his breath.

If this length were printed, it would be almost a book.

And it's too big to fit on a floppy disk.

Arash turned his head again and glanced at the TV screen.

The presentation of the second result is now coming to an end.

According to this calculation, the morning meeting should last for about an hour...

The straight-line distance between the hotel and the venue is about 8 kilometers, and the distance may be about 12 kilometers...

After some analysis, he finally made a decision——

Turn off the TV.

Unplug the power supply.

Put your laptop into your computer bag.

Change clothes...

Only five minutes later, Arash arrived at the hotel door and stopped a taxi.

"To the French Academy."

As soon as he got in the car, he hurriedly said to the driver:

"The French Academy? It's not easy to get there."

The driver glanced at Arash who looked anxious in the rearview mirror, put the gear into gear, and started the car slowly:

“It was downtown and there was an academic conference going on, so there was a lot of traffic.”

The Academy of Sciences is located on the south bank of the Seine River, across the river from the Louvre. Combined with Paris' French urban construction style, it is indeed hellish for driving.

"I know."

Arash just ran all the way from the elevator to the parking lot, and he is still out of breath:

"I just want to attend that meeting, so please hurry up. The sooner the better."

This time, the driver looked back at him.

"Okay, then sit tight."

As soon as he finished speaking, Arash felt a huge acceleration coming from the back of the seat.

"Hey, your name is not Daniel Morales..."

But his complaints were directly drowned in the howling wind outside the window...

…

The other side.

Inside the venue of the French Academy of Sciences.

The first six of the seven major math puzzles have been revealed.

NP-complete problem, Hodge conjecture, Yang-Mills existence and mass gap, existence and smoothness of N-S equation, BSD conjecture, Riemann hypothesis.

Each of these is of central importance to the development of mathematics.

In fact, the speculations given by Maxim Kontsevich and Andrew Wiles were highly repetitive.

So far, the two of them have only guessed one item wrong.

In this regard, it is this last one that determines the outcome of their bet.

Kontsevich believes that considering the difficulty and academic value of these problems, there is a high probability that the Poincaré conjecture will be the finalist.

Wiles speculated that the Clay Mathematics Institute started building momentum nearly a month in advance, and its core goal must not only be to encourage academic development, but also to attract attention from outside the academic world.

In this case, there must be one among the seven major problems that everyone is familiar with.

Therefore, although the scientific significance of Poincaré's conjecture is obviously greater, Goldbach's conjecture still has a greater chance of occupying the last spot due to its popularity.

"Then, next, is the last item of the Millennium Mathematical Puzzle."

On the stage, Arthur Jeff's emotions have reached their peak——

Today, he is alone.

I have been standing on the podium of the Millennium Mathematics Conference for nearly two hours.

Although the content of the story is not directly related to the research results, it is enough for him to leave a place in the history of mathematics.

Whenever future generations mention the seven major mathematical problems of the millennium, the name Arthur Jeff will definitely be involved.

Thinking of this, he took a deep breath, and then slowly glanced at the nearly a thousand spectators sitting under the stage, as well as a dozen cameras at different angles.

Then he turned around and slowly tore off the last white covering covering the marking board.

Poincaré Conjecture

"Poincaré's conjecture!"

Koncevic and Wiles were obviously not the only ones speculating about what this last item was.

In fact, when Jeff walked back behind the podium, he had already noticed the expressions of joy or regret in the audience.

Not that they all made bets with others either.

What is more important is the right to speak.

After all, not all scholars are as famous in their fields as Koncevich and Wiles.

Most people still have to worry about research funding.

And in most cases, the people in charge of funding are not mathematicians.

They are laymen who are easily influenced by this kind of public opinion.

Therefore, if your research field is included in this influential list of Millennium Problems, it will undoubtedly be a great benefit for future funding applications.

And this is exactly Langton Clay's main purpose.

Of course, one more thing is...

People, always have dreams.

What if I happen to solve this problem?

Therefore, when the name of Poincaré's conjecture was revealed, many researchers and professors specializing in topology smiled with relief.

Jeff paused for a few seconds to allow the first wave of emotions in the audience to be fully released.

Then, he spoke again and introduced the basic situation of Poincaré's conjecture.

After all, in addition to experts, there were actually many students present.

Moreover, the TV broadcast is open to the whole world.

"If we stretch a rubber band around the surface of an apple, we can slowly move it down to a point without tearing it or moving it away from the surface."

"But if we imagine the same rubber band being stretched and retracted on a tire tread in the appropriate direction, there is no way to shrink it to a point without tearing the rubber band or tire tread."

"In this case, we believe that the apple surface is simply connected, while the tire tread is not."

“About a hundred years ago, mathematicians had known that a two-dimensional sphere could essentially be characterized by simple connectivity, but when Henri Poincaré proposed that a three-dimensional sphere, that is, a four-dimensional space with unit distance from the origin When all the points satisfy the corresponding description, this problem becomes extremely difficult..."

"For nearly a hundred years, the Poincaré conjecture has been the goal that scholars in the field of topology strive for, and is known as the code to decipher the shape of the universe..."

"..."

Kontsevich and Wiles were both winners of the Fields Medal in 1998, so they naturally did not need to consider whether they could find sponsors for their projects.

Therefore, after the last name was revealed, Wiles was willing to admit defeat, took out a ten dollar bill from his pocket and handed it to his old friend.

"I must admit that I may have been somewhat biased against the Clay Institute before."

Wiles said:

"It seems that although they like to create momentum, at least at the academic level, they still adhere to some principles..."

Regarding the Poincaré conjecture, Jeff did not ask Gao Ming to introduce it like the previous questions.

Because his own research direction is related to the field of topology.

Although proving the Poincaré conjecture is probably out of the question, it is still fine if we just briefly talk about the concept.

With the end of his introduction, the announcement of the entire Millennium Mathematical Puzzle has also come to an end.