From Almighty Scholar to Chief Scientist

Chapter 285 Shock brought about by publication of paper

As time passed slowly, these two world's top mathematicians forgot time in their thinking.

After more than ten minutes passed, Deligne's voice finally sounded again, "Do you know Bloch's conjecture?"

Lin Xiao thought for a while and said, "I know."

Bloch's conjecture, that is, Bloch's guess, and when Deligne mentioned this, Lin Xiao also 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 smiled, and at the same time felt in his heart that at such a young age, Lin Xiao can still be so knowledgeable and memorized, he can know a little knowledge point casually, and even he has decades of experience Accumulation is the only way to do it, so it's no wonder Lin Xiao can do it to this extent.

But Lin Xiao did not stop there, but said again: "Yes! 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 ordinary, which is also established!"

Deligne was taken aback for a moment, and under Lin Xiao's explanation, he also quickly deduced this point.

There was no time to marvel at Lin Xiao's quick reaction. Sitting in the office at this time, he also quickly wrote down the inference Lin Xiao said on the paper, and then wrote down the inference he just said. After a while, he wrote an equivalent symbol in the middle.

equivalence!

For mathematicians, seeing this symbol moves them, and of course it may also make them afraid.

The moving situation usually occurs when they are proving a certain problem. Writing an equivalent symbol means that they have obtained 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 problem. For example, Hodge's conjecture is to draw an equivalent symbol between geometry and algebra, but obviously, its difficulty makes mathematicians dare not move.

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

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

Deligne said.

Lin Xiao also smiled and said, "Yes."

Calling Professor Deligne this time, he didn't expect to have such a harvest so soon, which made him quite satisfied.

"So where do you plan to start next?"

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

"Non-homogeneous cohomology..." Deligne thought for a while, and finally said helplessly: "It seems that my thinking still can't keep up with you, but I remembered the Poincaré conjecture. 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, and his solution to the geometric conjecture may inspire you."

As he said that, he sighed with emotion: "The more I understand this level, the more I can discover the extraordinary unity of mathematics. Maybe, our mathematics can also have a standard model, and then, like physics, everything can be unified. How about integrating it into it?"

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

"Well, it's a pity that I must not see it." Deligne sighed, and after a while, he suddenly asked with interest: "By the way, having said that, have you started studying Hodge's conjecture now? "

Lin Xiao smiled and said, "Yes."

"Should I really return to the mathematics world this time?"

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

"Hahaha, in the eyes of some people in our mathematics world, you are a waste of talent." Deligne laughed: "Of course, I believe you, go and solve Hodge's conjecture, tell those people, even if you waste your talent , you can easily master mathematics."

"I'm embarrassed to say this, I can only say, just try."

"Then I will wait for your good news."

"Ok."

Lin Xiao smiled, then stopped talking and hung up the phone.

After hanging up the phone, he found that he had received a lot of text messages from the communication operator. After looking at them, they were all informing him that his mobile phone had been shut down for arrears.

Suddenly he was speechless.

Call charges of more than 100 yuan will be gone within 10 minutes.

I heard that international calls are calculated at 10 cents for six seconds, and 160 yuan for [-] minutes.

I knew I would use email.

Shaking his head, he immediately said that he was really black, and finally paid the phone bill honestly, and then continued to focus on the draft paper in front of him.

Although it cost more than 100 yuan to make a phone call, the result is not bad.

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

That is to say, proceed according to the non-homogeneous cohomology he just mentioned.

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

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

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

Maybe looking for this unified relationship between the two can help the proof of Hodge's conjecture?
The office fell into silence, only the rustling sound of writing was left.

……

Time gradually passed.

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

And the time has also entered March.

March is a good season. Although the spring is still cold and the youth is frozen to death, the spring spirit has recovered.

Of course, this is not the case everywhere in the world.

For the academic community, probably climatologists, geologists, etc. will pay attention to seasonal changes, and for more scientists, they are more concerned about whether there are any papers worth reading this month. Appear.

So almost everyone except mathematicians will routinely look at the catalog of "Science" or "Nature" to find out if there are any papers worth reading. The "Annual Journal of Mathematics", which was released earlier this month, was opened.

Then, one paper each in Nature and Annals of Mathematics attracted people's attention.

And the authors of these two papers are actually the same.

The fact that the same author's name appeared in two of the world's top journals published at the same time would probably make people feel incredible.

Of course, since the news has not been spread, people still don't know this situation for the time being.

However, when they saw that the author's name was "XiaoLin", these scholars felt a sense of trust, and then involuntarily opened the paper.

After all, this is the proponent of multidimensional field theory. Now the reputation of multidimensional field theory is almost the same as that of relativity and quantum mechanics. Everyone likes to know about this kind of lofty theory.

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

Following the emergence of the Lin's bonding mechanism, Lin Xiao actually completed such an important theory describing the bonding mechanism, and this theory, unlike the previous Lin's bonding mechanism, can 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, once again caused an earthquake, and this time the earthquake was even bigger.

Because Lin Xiao only posted on arxiv last time, it only attracted attention in a small area, and not everyone will pay attention to arxiv. After all, this is a preprint, a paper that has not yet been peer-reviewed. The layers are uneven.

And now "Nature" magazine has published Lin Xiao's paper, which means that "Nature" magazine has reviewed this paper, which basically shows 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, and it can even be said that it is the subject with the largest number of researchers in the world. As a branch of condensed matter physics, which occupies almost half of physics, their boiling is of course even more important. Needless to say.

Of course, there are also quite a few scientists who study materials science, not 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 so great. After all, the circle of mathematics is relatively small among all disciplines. There are only two people who study mathematics. One is someone who has already achieved certain achievements, and the other is someone who wants to study mathematics People, there is no middle value, because basically those who can't continue to work have changed careers.

So after Lin Xiao's thesis was published on arxiv, the news that Lin's conjecture was proved was quickly spread out. After the bigwigs basically approved it, and then spread it to ten, ten to a hundred, the mathematics community also knew Seventy-seven eighty-eight, and now after being published in the Annals of Mathematics, it is only from seventy-seven eighty-eight to ninety-ninety.

Of course, these mathematicians are more happy. See, their mathematical genius has finally returned to the embrace of mathematics, and by the way, he also proved the Lin's conjecture that he proposed at the beginning. Once Lin's conjecture came out, I don't know how many new papers can be brought out, and even the Internet once again set off a super wave of "Thank you Lin".

So in other words, Lin Xiao is 100% an iron mathematician, not some other physicist, and the group of people who study physics are still arguing with them?
However, just when they were happy, news came from the next door that Lin Xiao had published another paper on condensed matter physics. The physics community was overjoyed, saying that Lin Xiao was a great physicist.

The mathematicians were immediately unhappy.

Ever since, physicists and mathematicians set off another quarrel, just to prove whether a person is a mathematician or a physicist, while material scientists and chemists are sitting and eating melons, and at the same time Looking at Lin Xiao's paper, I secretly sighed, this Lin Xiao, why does he know everything?

(End of this chapter)