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 can shock the entire mathematical world.
Thinking of this, Arash no longer bothered to watch the introduction of Hodge's conjecture on TV.
With the fastest operating speed in his life, he downloaded 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, some The 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...
Obviously, Arash's concerns are correct.
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 is too big to fit on a floppy disk.
Arash turned his head again and glanced at the TV screen.
The introduction of the second result is now coming to an end.
According to this calculation, the morning meeting should last about another 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.
Tuck your laptop into your computer bag.
Change clothes...
Only five minutes later, Arash had arrived at the door of the hotel and stopped a taxi.
"Go to the French Academy of Sciences."
As soon as he got in the car, he hurriedly said to the driver:
"The French Academy of Sciences? It's not easy to get there."
The driver glanced at the anxious-looking Arash in the rearview mirror, put the gear into gear, and started the car slowly:
“That’s the city center, and an academic conference is being held there, and the traffic volume It’s huge.”
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 to drive.
“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...
...
On the other side.
Inside the venue of the French Academy of Sciences.
The first six of the seven major mathematical 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 item is of central importance to the development of mathematics.
In fact, the guesses given by Maxim Kontsevich and Andrew Wiles were highly repetitive.
So far, the two of them have only guessed one thing 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.
So, 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 mood has reached its peak -
Today, he is alone.
I have been standing on the podium at 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 Conjecture!”
Consevich and Wiles are obviously not the only ones who have just guessed what this last item is.
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.
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.
In most cases, those in charge of funding are not mathematicians,
but laypeople 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 big plus for future funding applications.
And this is the main purpose of Langton Clay.
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 who specialize in topology showed happy smiles.
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.
Besides, the TV broadcast is for the whole world.
“If we stretch a rubber band around the surface of an apple, then we can slowly move it down to a point without tearing it or letting it leave the surface.”
"However, if we imagine the same rubber band being stretched and contracted on a tire tread in the appropriate direction, there is no way to shrink it to a point without tearing the rubber belt 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, the 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 , known as the code to decipher the shape of the universe..."
"..."
Konsevich and Wiles were both winners of the Fields Medal in 1998, so naturally there is no need to consider whether the project can be Find people to sponsor issues.
Therefore, after the last name was revealed, Wiles was willing to admit defeat, took out a ten dollar bill from his pocket and gave 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 an academic level , let’s talk about some principles...”
For 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.
As his introduction ended, the announcement of the entire Millennium Mathematics Problem also came to an end.
(End of this chapter)