Chapter 282 The shock caused by the publication of the paper

As time passed slowly, these two top mathematicians in the world lost track of time in their thinking.

It wasn't until more than ten minutes passed that Deligne's voice finally sounded again, "Do you know Bloch's conjecture?"

Lin Xiao thought for a moment and then said: "I know."

Bloch's conjecture, that is, Bloch's conjecture, and when Lin Xiao heard Deligne mention this, he understood what he meant.

"According to Bloch's conjecture, if X is a smooth projective surface on C and is Chow trivial, then H1(X)=0=Pg(X)."

"Yes." Deligne said with a smile, and at the same time sighed in his heart, Lin Xiao is so young, but he can still be so knowledgeable and memorized, and he can know a little knowledge point casually, and even he has decades of experience. Only through accumulation can you do it. It's no wonder that Lin Xiao can achieve this level.

However, Lin Xiao did not stop there, but said: "That's right! If we use the inverse prediction of Bloch's conjecture, if X is a smooth projective surface on C, and H1(X)=0=Pg(X) , then X is Chow trivial, which is also true!”

Deligne was stunned. Under Lin Xiao's explanation, he quickly deduced this point.

He didn't have time to marvel at Lin Xiao's reaction so quickly. He was sitting in the office and quickly wrote down the inference Lin Xiao said on paper, and then wrote out the inference he just said and read it. After a while, he wrote an equivalent symbol in the middle.

equivalence!

For mathematicians, seeing this symbol makes them moved, but it may also make them afraid to move.

The touching situation usually occurs when they are in the process of proving a certain problem. Writing an equivalent symbol means that they have achieved a breakthrough on a key node, or even directly completed the proof.

As for the situation of not daring to move, it usually appears in the stem of a certain question. For example, the Hodge conjecture is to draw an equivalent symbol between geometry and algebra. But obviously, its difficulty makes mathematicians afraid at all. move.

But now, they belong to the former, and their hearts are full of emotion at this time.

"Not bad! In this way, we have connected the Chow group with H1(X). Next, we can start from more directions."

Deligne said.

Lin Xiao also smiled and said: "Yes."

This time I called Professor Deligne. He didn't expect to get such a result so quickly, which made him feel quite satisfied.

"So where do you want to start from?"

Lin Xiao thought for a while and said, "I think we should start with non-homogeneous cohomology."

"Isn't it homogeneous..." Deligne thought for a while, and finally said helplessly: "It seems that my thinking still can't keep up with you. I think of Poincaré's conjecture, Professor Perelman's theory of Poincaré." The proof of Lay's conjecture is somewhat related to Hodge's conjecture. A closed three-dimensional manifold must be homeomorphic to a three-dimensional sphere. His solution to the geometric conjecture may inspire you."

As he spoke, he sighed: "The more I understand this level, the more I can discover the extraordinary unity of mathematics. Maybe we can also have a standard model in mathematics, and then, like physics, everything can be combined." How about integrating it into it?"

Lin Xiao smiled and said: "Maybe, of course, I sometimes feel that the world must be highly unified."

"Well, it's a pity that I won't be able to see it." Deligne sighed, and after a while, he suddenly asked with interest: "By the way, by the way, have you started studying the Hodge conjecture now? "

Lin Xiao smiled and said: "Yes."

"Is this really a return to mathematics?"

Lin Xiao said helplessly: "I have always belonged to the mathematics community."

"Hahaha, in the eyes of some people in our mathematical community, you have wasted your talent." Deligne smiled: "Of course, I believe you, go solve the Hodge conjecture and tell those people, even if you are wasting your talent , you can also master mathematics easily.”

"I'm embarrassed to say this. All I can say is, just give it a try."

"Then I will wait for your good news."

"OK."

Lin Xiao smiled, then said no more and hung up the phone.

After hanging up the phone, he found that he had received a lot of text messages from communication operators. At first glance, they were all messages informing him that his mobile phone was out of service and in arrears.

He was immediately speechless.

The phone bill worth more than 100 yuan was gone in less than 20 minutes.

I heard that international long distance calls are priced at 80 cents per six seconds, and 20 minutes is equal to 160 yuan.

If I had known earlier, I would have used email.

Shaking his head, he immediately said something really mean, and finally honestly paid for the call, and continued to focus on the draft paper in front of him.

Although it cost more than a hundred yuan to make a phone call, the result was pretty good.

At least, he knew which direction to study the Hodge conjecture next.

That is to say, start from the non-homogeneous cohomology he just mentioned.

Of course, Deligne's suggestion also gave him a direction. Using the proof process of Poincaré's conjecture may also bring him some unexpected help.

At least, there is a certain relationship between Poincaré's conjecture and Hodge's conjecture. One studies the equivalence relationship between geometry and geometry, and the other studies the equivalence relationship between geometry and algebra.

And just like Deligne said, the more you understand, the more you feel that mathematics is highly unified.

Perhaps finding this unified relationship between the two can help prove the Hodge conjecture?

The office fell into silence, with only the sound of rustling writing remaining.

…

Time passed gradually.

The earth will not stop rotating because of anyone, unless the people on earth want to wander around the earth.

And the time has also entered March.

March is a good season. Although the spring is still cold and the freeze kills young people, spring has already revived.

Of course, for the entire world, this is not the case everywhere.

For academia, probably climatologists, geoscientists, etc. will pay attention to seasonal changes, but for more scientists, they are more concerned about whether there are any papers worth reading this month. Appear.

Therefore, almost everyone except mathematicians will routinely take a look at the table of contents of "Science" or "Nature" to see if there are any papers worth reading. Mathematicians, on the other hand, will look through the contents. The Annual Review of Mathematics, which was released earlier this month, was published.

Then, there was a paper in "Nature" and "Annals of Mathematics" that attracted people's attention.

The authors of these two papers are actually the same.

People may find it incredible that the same author's name appears in two of the world's top journals published at the same time.

Of course, since the news hasn’t spread yet, people don’t know about this situation yet.

However, when they saw that the author's name was "XiaoLin", these scholars felt a sense of trust, and then they couldn't help but open the paper.

After all, this is the proposer of multi-dimensional field theory. Now the reputation of multi-dimensional field theory is almost the same as that of relativity and quantum mechanics. Everyone likes to know about such a high-level theory.

However, when condensed matter physicists, chemists, and materials scientists read this paper titled "Electronic Topological Bonding Theory" published in "Nature", these scientists were immediately shocked.

Following the emergence of Lin's bonding mechanism, Lin Xiao actually completed another important theory describing the bonding mechanism. Moreover, this theory, unlike the previous Lin's bonding mechanism, could only describe a few elements. This theory is a theory that can describe all elements.

Ever since, the "Electronic Topological Bonding Theory", which had already caused an earthquake in the academic world, caused another earthquake, and this time the earthquake was even bigger.

Because Lin Xiao only published it on arxiv last time, it only attracted attention in a small area, and not everyone would care about arxiv. After all, it is a preprint, a paper that has not been peer-reviewed, and the quality The layers are uneven.

Now that "Nature" magazine has published Lin Xiao's paper, this means that "Nature" magazine has reviewed this paper, which basically means that this paper is trustworthy.

Therefore, this paper, which is a huge breakthrough, huge innovation, and huge subversion for the three disciplines, completely caused an earthquake in the academic world.

Especially for condensed matter physics, there are many people who study physics. It can even be said to be the subject with the largest number of researchers in the world. Condensed matter physics is a branch that occupies almost half of physics. Their excitement is of course even more important. Needless to say.

Of course, there are also many scientists who study materials science, even less than those who study condensed matter physics. In addition, there are even more people who study chemistry.

Suddenly, Lin Xiao's brand-new theory was even regarded as the New Testament of the Bible.

At the same time, the shock in the mathematics world is not that big. After all, the circle of mathematics is relatively small among all disciplines. There are only two people studying mathematics. One is someone who has already achieved certain achievements, and the other is just thinking about studying mathematics. There is no middle ground for people, because those who can’t continue basically change careers.

So after Lin Xiao's paper was published on arxiv, the news that Lin's conjecture was proved spread quickly. After the big guys basically approved it, it spread to ten, and then it spread to hundreds, and the mathematics community also knew about it. Seventy-seven or eighty-eight. Now that it has been published in the Annual Journal of Mathematics, it is only from seventy-seventy-eight to ninety-ninety.

Of course, these mathematicians were more happy. Look, their mathematical genius finally returned to the embrace of mathematics. By the way, he also proved the Lin's conjecture he originally proposed. As soon as Lin's conjecture came out, I don’t know how many new papers will be produced, and even the Internet has once again set off a super wave of "Thank you Lin".

So that means that Lin Xiao is 100% a mathematician, not some other physicist. How can he still compete with those who study physics?

However, just when they were happy for a short time, news suddenly came from next door that Lin Xiao had published another condensed matter physics paper. The physics community was very happy, and everyone said that Lin Xiao was a great physicist.

Mathematicians were immediately unhappy.

Ever since, physicists and mathematicians started a quarrel that everyone loved to hear, just to prove whether a person is a mathematician or a physicist, while material scientists and chemists sat and ate, and at the same time Looking at Lin Xiao's paper, I secretly sighed, how come this Lin Xiao knows everything?