440 Coincidence
He reached out to take the "homework" handed over by Chen Zhou, but Professor Arting did not look through it directly.
This research summary is heavy when you touch it in your hands.
It must be as many as dozens of pages.
If you finish reading it all, it will take several hours to say it.
Therefore, Professor Arting did not intend to waste Chen Zhou's time.
Just communicate with Chen Zhou after he finishes reading it.
In addition, Chen Zhou asked to write such a research summary.
The main purpose is to understand Chen Zhou's specific research depth and to arrange the subsequent research topics for Chen Zhou.
Putting the "homework" on the desk, Professor Arting patted it lightly with his hands twice, and then said, "I'll check out the homework later, I'll ask you a question first."
Chen Zhou looked at Professor Arting: "Professor, may you ask."
Professor Artin: "Tell me about your current view on non-exchange algebra and non-exchange algebra geometry."
Chen Zhou heard this and pondered for a while before slowly saying: "From a mathematical point of view, the transition from exchange algebra to non-exchange 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-exchange geometry, many classic mathematical theories have found appropriate correspondence in non-exchange geometry."
"For example, the k theory of the ring is similar to the k theory of c* algebra, the Drum comodulation theory of smooth manifold is similar to the cyclic comodulation theory of c* algebra, etc...."
"In addition, the k group of af algebra, the ring and the Morita equivalent of c* algebra, the co-module and knob-ne long combined columns on the loop have certain uses on the non-exchange ring surface..."
Unlike the first time, Chen Zhou chose to answer Professor Arting's question this time.
Moreover, Professor Arting’s question this time is completely different from the first question, and it is a little gentler than the first question.
Non-commutation algebra includes non-commutation rings.
Just like exchange algebraic tools that are algebraic geometry.
Non-commutation algebra, that is, a tool for non-commutation algebraic geometry.
Instead of exchange algebraic geometry, it refers to treating invariants as space itself and then studying geometry.
Therefore, the question Professor Arting asked today is the opposite of what he asked for the first time and the homework Chen Zhou handed in today.
This is also the reason why Chen Zhou felt that the problem was completely different from the first time.
As for why the problem is milder than the first time, it is because non-exchange algebra and non-exchange algebra geometry have both been developing for a long time.
In addition, Chen Zhou also has certain insights into the interaction and mutual influence of non-exchange geometry and classical geometry.
Regardless of the geometric properties on the exchange object, it leads to the algebraic properties on the non-exchange object.
Or is it an algebraic property on a non-exchange object? It can predict the geometric property on a exchange object.
Chen Zhou has done some research.
This research? It was not started after coming to MIT.
Of course, in front of Professor Arting? Chen Zhou still feels like he is showing off his skills.
But? This feeling just reminded Chen Zhou.
He still has many shortcomings.
In addition? Exposing one's own shortcomings in front of Professor Artin? It's not a bad thing.
Chen Zhou also believes that? Through communication with Professor Arting, he can get some help.
After all, this is an important part of learning and research and the importance of tutors.
So, when Chen Zhou was narrating, his tone was extremely stable.
When Chen Zhou finished speaking? Professor Arting nodded slowly and praised: "Yes, it seems that it makes sense not to come to me for such a long time."
Hearing this, Chen Zhou was stunned for a moment. But he quickly smiled and said, "Professor, don't blame me for taking up your time in the future?"
Professor Arting smiled and said, "No? No teacher is afraid of students asking questions? I can't answer unless you ask the questions."
After a pause? Professor Arting pointed to the research summary sent by Chen Zhou and said, "This? After I finished reading it, I will give you a feedback email. In addition, I will give you a suitable sub-topic."
Chen Zhou hesitated for a moment and said, "Okay, professor."
Professor Arting also noticed Chen Zhou's hesitation, but did not think much about it.
Afterwards, Chen Zhou left Professor Arting's office.
The reason why he hesitated just now was not that he was unwilling to do the sub-project given by Professor Arting.
However, relatively speaking, there is a topic that attracts him more.
This was a mathematical problem he discovered when he was studying the pile of materials he had taken from Professor Arting.
Close the office door and Chen Zhou shook his head gently.
Forget it, the time is really too late to squeeze out a drop.
Let’s talk about it when you finish the sub-project or solve your guess.
Retracting his thoughts, Chen Zhou raised his hand and looked at his watch. It was still early.
You can go back to the dormitory to fight, come out for dinner, or order takeaway...
"Student Chen Zhou?"
A crisp female voice interrupted Chen Zhou's pace of progress.
Chen Zhouxun looked over and smiled, and greeted politely: "Hello, classmate Note."
Nott was still wearing a white dress and thick blonde hair spread over his shoulders.
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 find Professor Arting?"
Chen Zhou nodded: "Just come out of Professor Arting's office."
Nott immediately smiled and said, "I 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, "I heard that you are studying the Goldbach conjecture? Is there any progress?"
Chen Zhou glanced at Note and said nothing.
Nott immediately explained: "Don't get me wrong, I just asked casually, without any intention of inquiring."
Chen Zhou refused to comment. He didn't care whether the other party had any intention of inquiring about it.
"There is no substantial progress yet." Chen Zhou replied casually.
"Oh, that's it..." Nott said after thinking, "but I believe you will achieve some results soon, just like you solve Kramel's theorem and Jepov's theorem."
Chen Zhou replied politely: "Thank you good words."
"You're welcome, I hope to see you make history again," Nott said with a smile.
Chen Zhou didn't say anything and walked side by side with Note.
After pausing, Nott asked curiously: "Did you come to see Professor Artin because of studying the Goldbach conjecture?"
Chen Zhou shook his head: "No, it's a problem of algebraic geometry."
"Oh?" Nott immediately showed an interesting look, "Are you studying algebraic geometry?"
When Chen Zhou heard this question, he laughed softly and said, "My tutor is the one who studies algebraic geometry."
Nott was stunned for a moment, then patted himself in the head with his hand, cleverly covering up his embarrassment.
"Because of your outstanding research in the field of number theory, I forgot that Professor Artin is a master in the field of algebraic geometry."
Chen Zhou heard this and chuckled softly, without saying anything.
Chen Zhou finally realized that this senior sister Nott was a little different.
After pausing for a moment, Nott sent an invitation and said, "I still have some questions. I want to ask for advice. If it is convenient, have lunch together at noon?"
Chen Zhou looked at Note's delicate face and refused directly: "No, there is still some time before noon, I have to go back to the dormitory. If there is any problem, I can help you, you can
ask."
Chapter completed!