Xueba starts with change

Chapter 440 Coincidence
Reaching out to take the "homework" handed over by Chen Zhou, Professor A Ting didn't directly read it.

This research summary is heavy in the hand.

To say the least, there must be dozens of pages.

It would take several hours to read it all.

Therefore, Professor A Ting did not intend to waste Chen Zhou's time.

After he reads it, just communicate with Chen Zhou.

In addition, the reason why Chen Zhou was asked to write such a research summary.

The main purpose is to understand Chen Zhou's specific research depth, so as to arrange future research topics for Chen Zhou.

Putting the "homework" on the desk, Professor Arting patted it twice with his hand, and said immediately: "I'll look at the homework later, and I'll ask you a question first."

Chen Zhou looked at Professor A Ting: "Professor, may I ask you?"

Professor Artin: "Tell me about your current views on non-commutative algebra and non-commutative algebraic geometry."

Chen Zhou pondered for a while when he heard the words, and then slowly said: "From a mathematical point of view, the transition from commutative algebra to non-commutative algebra is similar to the transition from classical mechanics to quantum mechanics in physics..."

"And now, with the vigorous development of the field of non-commutative geometry, many classical mathematical theories have found appropriate correspondences in non-commutative geometry."

"For example, the K-theory of rings is similar to the K-theory of C* algebras, the Durham homology theory of smooth manifolds is similar to the cyclic cohomology theory of C* algebras, etc..."

"In addition, the K group of AF algebra, the Morita equivalence of ring and C* algebra, cyclic cohomology, and the exact sequence of Connie length all have certain applications on the non-commutative torus..."

The difference from the first time was that Chen Zhou chose to answer Professor A Ting's question this time.

Moreover, Professor Arting's question this time is completely different from the first question, and it is also milder than the first question.

Noncommutative algebra, which includes noncommutative rings.

And commutative algebra is the algebraic tool of algebraic geometry.

Noncommutative algebra, that is, tools for noncommutative algebraic geometry.

Instead of commutative algebraic geometry, it refers to the invariant as the space itself, and then to study geometry.

Therefore, the question asked by Professor A Ting today is the opposite of the question asked for the first time and also the homework that Chen Zhou handed in today.

This is also the reason why Chen Zhou felt that it was completely different from the first question.

As for why it is milder than the first question, it is because both non-commutative algebra and non-commutative algebraic geometry have experienced a long period of development.

In addition, Chen Zhou also has some insights into the interaction and mutual influence between non-commutative geometry and classical geometry.

Regardless of the geometric properties on commutative objects, lead to algebraic properties on non-commutative objects.

Or the algebraic properties on non-commutative objects can predict the geometric properties on commutative objects.

Chen Zhou has done some research.

This research did not start after coming to MIT.

Of course, in front of Professor A Ting, Chen Zhou still felt like he was playing tricks.

However, this feeling just reminded Chen Zhou.

He still has many shortcomings.

In addition, it is not a bad thing to expose one's shortcomings in front of Professor Artin.

Chen Zhou also believed that he could get some help through communication with Professor A Ting.

After all, this is an important part of studying research and the importance of mentors.

Therefore, when Chen Zhou narrated, his tone was extremely stable.

After Chen Zhou finished speaking, Professor A Ting nodded slowly, and then praised: "Yes, it seems that there is some reason for not coming to see me for so long."

Hearing this, Chen Zhou was stunned for a moment, but soon said with a smile: "Professor, don't you blame me for taking up your time all the time?"

Professor A Ting smiled: "No, how can a teacher be afraid of students asking questions? Unless you ask a question, I can't answer it."

After a pause, Professor Arting pointed to the research summary submitted by Chen Zhou, and said, "This, after I read it, I will send you a feedback email. In addition, I will give you a suitable sub-project to do."

Chen Zhou hesitated for a moment, then said, "Okay, Professor."

Professor A Ting also noticed Chen Zhou's hesitation, but didn't think much about it.

Afterwards, Chen Zhou left Professor A Ting's office.

The reason for his hesitation just now was not that he was unwilling to do the sub-project given by Professor A Ting.

It's just that, relatively speaking, there is a topic that attracts him more.

This was a mathematical problem he discovered when he was studying and studying the pile of materials he got from Professor Artin.

After closing the office door, Chen Zhou shook his head lightly.

Forget it, the current time really can't squeeze out a drop.

Wait until the sub-topics are finished, or the brother guess is solved, then let's talk.

Withdrawing his thoughts, Chen Zhou raised his hand and glanced at his watch, it was still early.

You can go back to the dormitory for the struggle meeting, come out to eat, or order takeaway...

"Student Chen Zhou?"

A crisp female voice interrupted Chen Zhou's progress.

Chen Zhou followed the prestige, showed a slight smile, and greeted politely: "Hello, student Nott."

Nott is still in a white dress, with thick blond hair hanging over his shoulders.

There was a faint smile on his fair face.

I have to say that this girl is a typical western beauty.

Nott walked to Chen Zhou and asked, "Are you here to see Professor A Ting?"

Chen Zhou nodded: "I just came out of Professor A Ting's office."

Nott smiled and said, "I also came out of the tutor's office just now. It seems that today is really a coincidence."

"Well, it's quite a coincidence." Chen Zhou replied lightly.

Seeing this, Nott didn't care, and asked instead: "I heard that you are studying Goldbach's conjecture? Have you made any progress?"

Chen Zhou glanced at Nott, but did not speak.

Nott immediately explained: "Don't get me wrong, I just asked casually, and I didn't mean to inquire."

Chen Zhou was noncommittal, and he didn't care whether the other party wanted to inquire.

"There is no substantial progress yet." Chen Zhou replied casually.

"Oh, that's it..." Nott thought for a while and said, "However, I believe you can achieve certain results soon, just like you solved Kramer's theorem and Jebov's theorem."

Chen Zhou replied politely: "I accept your good words."

"You're welcome, I also hope to see you make history again." Knott said with a smile.

Chen Zhou didn't speak, and walked side by side with Nott.

After a pause, Nott asked curiously, "Did you come to Professor Artin because of studying Goldbach's conjecture?"

Chen Zhou shook his head: "No, it's a question of algebraic geometry."

"Oh?" Nott suddenly showed interest, "Are you also studying algebraic geometry?"

When Chen Zhou heard this question, he smiled softly and said, "My tutor is a student of algebraic geometry."

Nott was stunned for a moment, then patted himself on the head with his hand, cleverly concealing his embarrassment.

"Because of your excellent research in the field of number theory, I have forgotten that Professor Artin is a master in the field of algebraic geometry."

Hearing these words, Chen Zhou smiled softly and did not speak.

Chen Zhou also finally discovered that this senior Nott is a little different.

After a pause, Nott issued an invitation: "I still have some questions, I would like to ask, if it is convenient, can we have lunch together at noon?"

Chen Zhou looked at Nott's delicate face, and directly refused: "No, there is still some time before noon, and I have to go back to the dormitory."

"If you have any questions, I can help, and you can ask now."

Hearing this, Nott smiled: "It's about algebraic geometry."

　One update tonight, make up tomorrow!My fellow students, forgive me!

　　In addition, you can add a book friend group, and if there is a situation, I will send a red envelope to notify in advance.

　　Group number: 943133581
　　
　
(End of this chapter)