Chapter 238 Video Call
Chapter 238 Video Call
Song He sat in front of the computer and studied electronic textbooks on his own.
The dormitory door knocked twice and opened, and Shekov stood at the door.
"Katerina responded with a message saying that M can be regarded as a 2n-dimensional Riemannian manifold. She plans to use the Chen-Gauss-Bonnet formula instead, and then borrow the Atiya-Singer index theorem, which can effectively avoid most of the doubts you mentioned. "
"Reply the message, no!" Song He pondered for a moment, "If it is a compact orientable manifold linear elliptic differential operator, you can use Atiya-Singh, but the Sassoon conjecture does not only cover this case, other cases How to prove it?"
Shekov typed quickly, made an OK gesture, closed the door and left.
Song He continued to stare at the computer.
After studying for a while, Shekov knocked on the door again.
"Katerina replied with a message, assuming α is an n-order differential operator in k-dimensional space, remove the low-order terms of α, and replace the highest-order term with an operator for partial derivative..."
Shekov read for two full minutes.
"Wrong!" Song He said resolutely, "What is the partial derivative operator defined by the local coordinate system? What is the function on the α cotangent bundle? This line of proof is full of loopholes!"
Shekov was stunned, lowered his head and typed, closed the door and left.
A few minutes later, there was another knock on the door, and Shekov read the latest reply for two minutes.
Song He continued to refute and completely rejected Catalina's ideas.
Knock, veto, knock, veto, knock…
After going back and forth for an hour, Shekov sent messages more than 20 times, and he was exhausted.
"No way, Brother Song! I can't be a translator anymore, I have to go to sleep!" Shekov collapsed and squatted pitifully at the door. "But she kept urging me to send a message to you, saying that there were serious differences in the direction of the proof and that we must be in time. communicate."
"She wants to find a social software that can be used across borders, so she can communicate directly with you and add friends. She sends messages in her own language and uses translation software, which saves me the hard work."
Song He thought for a while, "WeChat?"
Shekov made an OK gesture, closed the door and left.
After studying the electronic textbook for more than ten minutes, my phone vibrated and I applied for WeChat friends.
The avatar is of a Mao girl holding her chin in thought. She is fair and pure, with long chestnut hair. She is so beautiful that it’s a bit exaggerated!
Song He thought to himself that he might have borrowed some internet picture of a celebrity model. How could a mathematician who has been tortured by mathematics be so agile? Shekov has looked as haggard as "The Trackers on the Volga" these days.
The WeChat name is a string of incomprehensible Russian characters. Copied to the translation software, "Solve the Problem Catalina bravely". Song He deleted the first four characters and left only the name as a note, through friends.
In an instant, a string of Russian text was sent to him, and he pressed and held to translate it.
"The key feature of elliptic operators is that they are reversible. The core and co-core of elliptic operators on compact manifolds are both finite-dimensional. I will start from this point in the proof, isn't it right???"
"No." Song He replied calmly, "It's not completely reversible, it's just almost reversible. Your proof process happens to be outside of almost."
The debate kicked off for more than ten minutes!
The two sides exchanged words and exchanged more than ten pages of WeChat messages!
Song He is cruel and ruthless, like a giant guarding BOSS, holding a "full of loopholes" sledgehammer, constantly smashing Catalina into meat pies, and rejecting all her proofs!
After eliminating the need for Shekov to send messages, communication efficiency is much higher.
But a quick exchange of words can easily lead to a quarrel, and Katarina is angry!
"Nonsense! There are no loopholes in my proof process! If my direction doesn't work, why don't you write a feasible direction to see?!!" Catalina replied.
"I'm busy learning other knowledge, and I don't have time to write proofs for the time being. However, the mistakes I pointed out are absolutely true, and you should accept them with an open mind." Song He replied.
"I'm obviously not wrong! I don't accept it! Since you understand very well, why don't you write a proof!!"
"Write quickly! Write!!!"
A series of angry expressions were sent, almost filling the screen.
Catalina was obviously very angry, with more and more exclamation marks, and she seemed to be a grumpy girl.
Song He thought for a moment and understood. In the past hour, every time Catalina proposed a proof direction, he immediately pointed out the loopholes and rejected her dozens of times in a row. No matter how good-tempered she was, she would explode!
But the study plan was unlikely to change for her.
Now is the time to study electronic textbooks. The Northwestern University textbooks given by Professor Wang are full of nutrients. Song He can't help but finish them as soon as possible. It proves that Sassoon's conjecture should be put aside for the time being, and sharpening the knife will not delay the woodchopping.
The phone vibrated continuously, and Catalina kept urging.
Song He pushed the phone away and ignored her message.
Finally, she stopped and her phone stopped vibrating.
Song He just said that the irritable hairy girl finally calmed down. Unexpectedly, more than ten seconds later, the sound of the WeChat video call came out!
He was confused. It turned out that she hadn't stopped for a long time. Was she trying to figure out how to make a phone call?
After hesitating for a moment, Song He pressed the connect button.
A beautiful and lovely face appeared on the phone screen, with long, smooth chestnut hair, exactly like the avatar.
…
On the banks of the Neva River.
In a room filled with papyrus paper, Catalina angrily pounded the bed with her fists.
The mattress was beaten loudly, accompanied by Mao Mei's Russian curses.
“Damn Song He!”
"You said my method is wrong, what is your method? You just keep talking and talking!"
"The direction of your proof must be bullshit! That's why you dare not say it!"
I sent a series of urging messages, but there was no reply.
Katerina was so angry that she felt dizzy.
Lies don't hurt, the truth is the sharpest knife.
If Song He pointed out an error incorrectly, she would feel happy, but Song He pointed out the mistake dozens of times and hit the mark accurately every time!
She felt like a snake being beaten seven inches repeatedly by Song He with a big stick. She was furious but helpless.
The most annoying thing is that Song He said that he had a clear direction of proof, but he didn’t say what it was exactly!
"fraud!"
Catalina couldn’t believe it!
She has absolute confidence in her mathematical abilities. If the proof direction she has been thinking about is a dead end, Song He will definitely take more dead ends!
With the desire to win burning in her chest, Catalina is eager to find Song He's loopholes, refute him severely, and hit him seven inches!
In desperation, she explored the WeChat function and found a video call.
After a moment of hesitation, she grabbed a white vest from the bed and put it on, knelt beside the bed, and called angrily!
After waiting for more than ten seconds, the video call was connected!
She was about to spit out all the dirty words, but the moment she saw the video... she forgot all about it.
On the screen of the mobile phone, a handsome and young face appeared, smiling helplessly.
Catalina was stunned, her anger gauge cleared instantly, her pupils shrank, and her whole person became quiet.
So... so handsome!
She has seen a lot of handsome guys, but young handsome guys often have nothing to show for their skin, and their eyes show a sense of stupidity without knowledge. They can be seen from a distance, but they are off-putting when they talk to them.
Song He was different. She instantly noticed the deep eyes. This kind of eyes could only belong to knowledgeable eyes, as if they could see through the world.
After a moment of sluggishness, she couldn't help but raise her hand to cover her mouth, her cheeks turning slightly red.
"You are cute! I love your eyes! You look very intelligent!" Katerina sent by voice.
Song He on the opposite side looked confused, and then he made some operations, probably busy converting speech to text and then translating.
The signal was very poor. After more than ten seconds, Song He finally smiled and spoke a long string of unintelligible Mandarin.
Catalina waited silently. A square message popped up. Press and hold to translate.
"Thank you. My myopia has worsened. My myopia looks like this."
"You are also more beautiful than I expected... I plan to assume that x is an n-dimensional compact boundless differential manifold, and use the highest dimensional phase of the homology class to take the value of the basic homology class of x to find the Todd class of the manifold."
"The follow-up is to use the A-hat genus and Rochlin's theorem, or the Hitzebruch-Riemann-Roch theorem. I'm not sure yet. I have to derive it specifically and see how it goes."
Catalina was stunned.
Wait, what is the logic of this passage?
First out of politeness, give me a perfunctory compliment about my beauty, and then discuss the topic?
How can there be such a thing? When meeting for the first time, shouldn’t we chat first?
Catalina felt a little resentful, but she still put her chin up to think, imagining the direction of Song He's proof in her mind.
There must be a loophole, seize the time to find it and hit him in the seven inches!
You can't let him go just because he's handsome, it's really hateful!
allendalepharm