God's Crown

Who this person is is not just a confusion for those who want to leave, even those who don't.It seems that he is also very confused about the one who came in just now.

He crossed his legs, holding a notebook and paper in his hand, with a blank expression on his face.He looks very attractive, no one dares to underestimate the gentleman who just came in, but who is this gentleman?No one knows.Everyone is looking at the appearance of this gentleman, it seems that this gentleman looks very powerful.

"Who is he...?" Many people were very puzzled. This gentleman seemed really powerful, but in their memory, Princeton University didn't seem to have such a professor.

Wang Yunqi glanced at that gentleman several times. At first, he just felt that he had seen it somewhere. After looking at it for a few times, he felt very familiar, but he couldn't remember where he had seen it.

Everyone is discussing who this gentleman is.

"Do you know who he really is?"

"I don't know? But it looks very powerful."

"My God, can anyone tell me who he is?"

"He doesn't seem to be our professor at Princeton University."

"I said buddy, do you want to leave?"

"I won't... leave now."

Everyone was still discussing, and a very familiar figure walked into the lecture hall——Professor Deligne.He nodded slightly at An Yan, then glanced at Faltings who was sitting in the first row, and said with a smile, "You came earlier than me."

"You're going to be late." Faltings said calmly, "Sit down first, it's about to start."

After Professor Deligne sat down, the students below were almost shocked!Maybe they don't know Faltings. Faltings also taught in Princeton before, but he left Princeton very early and returned to Germany.

It is not wrong for students of Princeton University not to know Faltings, but Professor Deligne is a well-known professor at Princeton University.And it can often be seen on the campus of Princeton University. Although Professor Deligne is unsmiling, the students know very well that this Philippine award boss is one of the brightest stars among the many bright stars of Princeton University. .

Originally thought that no one would come to this academic report, so they thought wrong, right?A well-known Fields Medal winner has already arrived, and the other one seems to be very familiar with Professor Deligne. Although they don't know who he is, they know very well that the one they can't name Yes, there is nothing wrong with being a big boss.

Immediately afterwards, several bigwigs from Princeton University filed in.Watching this group of professors walk towards the lecture hall, the students who suddenly sat down and didn't leave were very grateful. It seemed that they were right not to leave.They wanted to wait and see, but unexpectedly, they actually got a large group of Princeton professors.

Seeing the group of professors sitting in their seats, the last professor who came in nodded at the professor whose name they didn't know, and said, "Mr. Faltings, how are you doing recently?"

Law... Faltings?

It turned out to be Faltings, and everyone stared at Faltings in disbelief for a long time.The Fields Medalist, who stayed at Princeton University for a long time, finally returned to Faltings in Germany... Thinking about it makes people feel extremely scary.

The last one to come in was Professor Witten, who walked slowly into the lecture hall with Sir Atiyah in his arms.

The students looked at An Yan on the stage in disbelief. Who is this guy and what is he doing?There are so many big figures in mathematics sitting here, it's almost... It's as if the top experts in the mathematics world are holding a mathematics conference.How could it be that a 45-minute academic report meeting attracted so many bigwigs.

Is this... a bit too exaggerated?

Glancing at the time, it happened that the time for the academic report had begun.

So he walked to the blackboard and said with a smile, "Okay, the next academic report will officially start."

"I believe that when you come to listen to this academic report, you have already read the subject, right? Then I will not repeat it." An Yan smiled confidently, "I will start this academic report next. "

[Using the continued fraction expansion method and the scale expansion theory to obtain two new types of non-regular scaling equations—singular scaling equations... From the localization characteristics of zero poles and order frequency characteristics, any physically achievable The cause of the oscillation phenomenon in the operation of non-canonical scaling equations.

Fractional calculus theory and applications have attracted widespread attention in many fields such as electromagnetism, fluid mechanics, image processing, and sound processing. Components with fractional calculus operations are called fractional reactance elements (Fractor). Ideal order The impedance function of the resistive element is I(μ)(s)=F(μ[…]

In the formula, μ is the operation order (Operational order); s is the operation variable, also known as the complex frequency or Laplace variable; Partial resistance; sμ

Called the μ-order calculus operator, when μ takes the fraction […]

Let sμ be called fractional calculus operator, referred to as fractional operator or fractional operator. In order to describe concisely and conveniently without losing generality, the normalized operation variable (also called normalized frequency variable) is defined.

w=τs=sΩτ

……

Approximation benefit—the ratio of the approximation bandwidth exponent to the number of iterations. Before scaling,…

When the scale factor σ takes different values, the zero-pole frequency index distribution of the rational function sequence y±Ik(w) iteratively generated by the singular scaling equation is obtained, and the zero-point (or pole) frequency indices of different σ are linearly fitted, The slope of the fitting equation is that the frequency index value interval of adjacent zero points (or poles) is 2|lgσ|2|lgσ|, that is, the operation oscillation period W=2|lgσ|W=2|lgσ|. Therefore, the values ​​of σ are mutually When it is reciprocal, the operation oscillation period is also corresponding to the same...①]

An Yan was talking on the top, but the students below gradually couldn't understand them. Seeing that An Yan had already drawn a figure, they frowned slightly.

Gou Liqun could understand a little before, but the more he got to the back, the less he could understand.

After An Yan finished speaking, he looked at the people in the lecture hall, "This is the end of the academic report. Do you have any questions?"

Professor Deligne shook his head, An Yan had made it very clear that he had no problems.

Faltins next to him thought about it, and there seemed to be no problem.

After waiting for about two or three minutes, it seemed that everyone had no problem.Only then did An Yan say, "Since everyone has no questions, this academic report will be over."

An Yan bowed slightly, and left the lecture hall with his documents and materials.

Several professors stood up and also left the academic lecture hall.

Only a group of students were left sitting there in a daze. Wang Yunqi frowned and looked at the calculation formulas and graphs on the blackboard.Then he smiled slightly, with some meaning.

Standing up, he was the first student to leave the lecture hall, followed by a group of stunned students.

"Do you understand?"

"It was a bit difficult, and in the end I couldn't understand anything."

"I heard that that person is a Ph.D. student in the Physics Department of Stanford University."

"My God, are Stanford students so good?"

"I saw several Fields Medalists sitting down to listen to his academic report."

"So this academic report seems to be quite worthwhile."

…………

After leaving the lecture hall, An Yan sorted out her thoughts and prepared to return to her room to continue working on An's space.

If it weren't for the academic report meeting, he would probably have been doing Anshi's space in the room all the time.Now that the academic report is over, he should also do his own thing.

Just before taking two steps, he was stopped by Faltins.

"Hey, Ann!" Faltings' voice was a little indifferent. He used German, and as an undergraduate student at the University of Zurich in a German-speaking area.An Yan turned around naturally, looked at Faltings and said calmly, "Mr. Faltings, do you have anything to do?"

"Ann, I want to talk to you."

An Yan took a deep breath. It is naturally a very good thing to be able to communicate with the Fields Award boss.It is impossible to know how many people want to communicate with the Fields Award boss.What a joke, that's a Fields Medal boss, not someone you can meet whenever you want.

The reason why the Philippine award bosses are the Philippine award bosses is because they are extremely rare, and not all cats and dogs can see them.In mathematics, the Fields Medalists have all reached the top level in the world today.What's more, among so many Fields Medal magnates, Mr. Faltings ranks very high.

"Okay." An Yan showed a smile, "Then, Mr. Faltings, please—"

An Yan and Faltings walked out of the teaching building and walked on the campus of Princeton University.

Faltings said as he walked, "I saw your report today, it seems that you are preparing to do Euler angles, right?"

"Yes." An Yan responded softly, "About the Euler angles, I'm trying to make my An's space."

"Your Angler's space is indeed very interesting." Faltins smiled, and continued, "But if you only do Angler's space, I think it may be a bit too small to underestimate the Euler angle."

"What do you mean?" An Yan didn't quite understand what Faltings meant, he looked at Faltings curiously and said, "You mean, besides An's space, I can do other things Is it the matter?"

"That's right, for example, Tate's conjecture." Faltins pondered, "Tate's conjecture itself is a question about Euler's theorem."

"I thought if you were really working on Euler angles, maybe you could try the Tate conjecture."

"But..." An Yan froze for a moment, he knew more or less about Tate's conjecture.But it's not that he can't do Tate's conjecture now, it's a matter of time.

"You have been studying at Stanford University for five years. Is it possible that you can only produce two papers in five years?" Faltins seemed to see An Yan's hesitation, "Deligne and I They have the same idea, you are highly gifted in mathematics even though you studied physics."

"But you also know that the theorems of physics require symmetry. The so-called symmetry means that the explanation of physics must finally fall on the mathematical formula."

"Euler's theorem can be used in a very wide range, so I hope you can make more achievements in Euler's theorem because of this."

After pondering for a while, Mr. Faltings made sense.

Physics does need to use the proposed theory-experiments-and finally find out the symmetry, that is, the corresponding mathematical formulas and theories.

It's just that the time is too tight. Seeing that the New York laboratory is competing with him on who can make Angler's space and Hilbert space first, Mr. Faltins suggested that he can learn about Tate's conjecture.As far as academic matters are concerned, this must be very helpful to An Yan himself.

It's just that - thinking about the group of people in the New York laboratory, An Yan's mood suddenly became less beautiful.

He rubbed his hair and said, "Mr. Faltings, your suggestion is very good, can you allow me to think for a while?"

"Of course." Faltings' expression softened a little, "I know you seem to have encountered some academic difficulties, but personally, I still strongly recommend that you do this."

"Thank you for your suggestion." An Yan said to Faltings politely, "Mr. Faltings, I still have some questions about geometry, can I ask you about geometry?"

"Of course." Faltings nodded slightly. As a Fields Medal winner, Faltings thought it would be fine to help An Yan solve some geometric problems.Moreover, none of these problems are particularly difficult problems.

An Yan asked Faltings a few questions about geometry.

Afterwards, he bid farewell to Faltings, a somewhat proud Fields Award tycoon.After parting with Faltings, An Yan saw that Gou Liqun seemed to be waiting for him not far away.

"Hi!" Gou Liqun waved at him.

An Yan came to Gou Liqun's side, "What's the matter, Brother Qun, I saw you standing here for a long time?"

"Were you talking to Mr. Faltings just now?" Faltings gave Gou Liqun the impression that he was a very proud scholar, although he was arrogant, he was extremely powerful.

He blinked his eyes. To be honest, he was quite envious of An Yan.After all, being able to communicate with Faltins is already a very remarkable thing.

"Yes, I talked to Mr. Faltings about geometry." An Yan said with a smile, "I was asking Mr. Faltings, and he just answered my doubts."

At the time of parting, Faltings also invited An Yan to sit down at the Academy of Sciences in Göttingen in Germany if he is free in the future.

Although he had been there before, he left in a hurry.After all, Göttingen is one of the birthplaces of modern mathematics, and it is worth exploring in Anyan.

After leaving his email, Mr. Faltings wrapped his trench coat tightly and left Princeton University.

"It's really...enviable." Sighing, Gou Liqun said in amazement, "If I could have a chat with this kind of big guy, I might be so happy. It's not like you, it's like talking to a big guy Chatting seems like a normal thing."

An Yan smiled, but did not answer Gou Liqun's words.

However, Gou Liqun was just expressing his own opinion, not really jealous of An Yan.There is a gap between him and An Yan, and the gap is quite large.Even if An Yan didn't say anything, Gou Liqun knew it himself.

Otherwise, how could this group of bigwigs chat with An Yan instead of him.

He knew very well that mathematics is a subject of genius.If you are not a genius, it is difficult to do anything important in mathematics.And mathematicians, of course, value genius even more.

People like An Yan are obviously the type of genius that mathematicians value very much.

Only a genius can win the favor of those big bosses.

"I also wanted to ask you something." Standing under the shade of the tree, Gou Liqun smiled at An Yan and said, "I plan to return to China tomorrow or the day after tomorrow."

"What about you?" Gou Liqun looked at An Yan and said, "The Spring Festival is coming soon, aren't you planning to go back to China?"

"No." An Yan shook her head and said, "I just had some inspiration recently, maybe I won't go back during the Spring Festival." When talking about this, An Yan smiled, "Probably I will always be at Stanford University Research."

"What a pity, I thought I could kidnap you back to China." Gou Liqun said with a smile, "Forget it, when will you go back to Stanford University?"

"It should be about the same as you. I also have to go back to California by plane." An Yan spread his hands and said.

…………

After the two finished talking, they returned to the room.An Yan sorted out her things, sat on a chair, and was still thinking about what Faltings told him.

A very good idea indeed, Tate guessed.

It's just that he's in a hurry now, not because he doesn't want to do this.It's that he can't do this, and he doesn't know what the New York laboratory has done.He doesn't care about the New York lab, but it doesn't mean he doesn't think the New York lab is doing the right thing.

He also didn't want his project to be done ahead of time by the guys in the New York lab, and it definitely wouldn't affect him.But disgusting is still very disgusting.

As expected, the New York laboratory has been very successful in terms of disgusting people!

An Yan thought about it in her heart and sighed.Forget it, let's study Euler's theorem. It's not too late to do Tate's conjecture after making Hilbert space and Angler space.

Tate's conjecture itself is somewhat related to his own Angle's space. If he can create an Angle's space, that Tate's conjecture will naturally be solved better.

Moreover, the Tate conjecture itself is a conjecture proposed by a Princeton University professor.

"I said An Yan." Gou Liqun came to knock on the door, An Yan opened the door and looked at Gou Liqun in puzzlement and said, "Brother Qun, what's wrong?"

"Hey, it's nothing. Didn't I want to ask you a question?"

"Eh..." An Yan was stunned for a moment, moved away and said, "Brother Qun, come in and talk."

"En." Gou Liqun walked into the room and saw that An Yan's things were almost packed, "Are you going to leave tomorrow?"

"Where's Brother Qun? When are you leaving?"

"Probably go with you."

"That's pretty good."

"Oh, by the way, I have a question I want to ask you about nonlinear partial differential equations." Gou Liqun came to the table and took a scratch paper to write down an equation.