I Exchange For Black Technology By Blowing Up The Bully

"The difficulty of the Song He manifold is beyond my expectation. During my analysis work, I discovered a large number of bifurcations."

"The meaning of a fork is that you can go in multiple directions at the same time, and you won't be able to verify which direction is the right one for a while."

"Therefore, the explanation process I am about to present will be like a branch, with new forks constantly appearing. I have marked them in advance. There are a total of 16 unverified forks. If anyone can quickly eliminate some forks, I hope I would be grateful if you could tell me!”

"Back to business, let's talk about the first fork in the road."

Catalina began to explain formally, and there was silence inside and outside the lecture hall. Everyone listened carefully with their ears pricked up.

"We start with the Legendre link, and by calculating the Legendre tangent homology, we get..."

"As we all know, the tangent manifold is an odd-dimensional manifold. We can see that D is completely non-integrable, and it is a hyperplane distribution..."

"It is known that δ is the Lyapunov function of z, which satisfies the quaternary pair inference just now, and all δ critical points are located inside and are non-degenerate..."

Song He started to lose focus after listening to two sentences, and continued to lose focus for more than 20 minutes.

It's not that he didn't listen carefully, there was really no need to listen carefully. The part he was talking about now was still the four loopholes he had corrected for Catalina before, and he was extremely familiar with every step.

"This is the end of the first part of the lecture. These are the basic contents. Only by understanding these can you understand the rest. We will leave three minutes of free discussion time and five minutes of question time for everyone!" Catalina changed the subject.

The lecture hall, which had been silent just now, became noisy. A group of scholars pointed at the blackboard and quickly exchanged ideas with the people around them.

There was no blackboard in sight in the corridor, so I had to struggle to reproduce the steps in my mind by listening to the sounds. This kind of operation, similar to playing blind chess, was not available to everyone. Many people failed to follow, so some people shook their heads and left.

Song He took the opportunity to squeeze forward, sliding like a loach to a position near the back door, where he could hear the exchanges in the lecture hall.

Many scholars are marveling and praising:

"Awesome! Katarina has gone a long way!"

"This is just the basic part? I can't understand it anymore!"

"Is the Song He manifold so profound? I thought it was just a mediocre theory, but it's a slap in the face!"

"Damn it, although Deng Puhe said that the Song He manifold is very good, I didn't expect it to be so good. If this theory is really developed, it can support a lot of mathematics departments!"

The three-minute free discussion ended quickly, followed by a five-minute question time. People kept getting up and asking questions, and Catalina took the microphone to quickly answer them.

After listening to it, Song He found some good and profound questions. He subconsciously marveled at the Crouching Tiger, Hidden Dragon of the World Mathematics Summit.

Then I thought about it, no, the lecture is so fast-paced that a layman who has not studied Song He manifolds has no time to sort out the clues. The people who can ask these questions are probably scholars who are conquering Song He manifolds!

An unexpected number of people asked questions, and the five-minute question time was extended to ten minutes. Song He was secretly surprised. He did not expect that the theoretical conjecture he proposed would receive such widespread attention. It was obvious that many people in the mathematics circle were sprinting towards Song He. Manifold!

"Okay, the next content will be a little more difficult, and I will explain it at a slightly slower pace." Catalina continued.

"At the sixth fork, I tried the direction of the hyperplane arrangement!"

"As can be seen from the previous steps, k is an affine hyperplane, which is obtained by linear subspace translation with codimension 1..."

"In order to facilitate the definition of matroid or reversible matroid, we choose the unintuitive former..."

"This chamber is compact, and the corresponding closure of the image in essentialized V is also compact. As we all know, at this time we can get a rank with dimension V..."

Song He concentrated and looked serious, finally something new appeared.

After listening attentively for more than half an hour, he looked slightly disappointed.

It is indeed something new, but the breakthrough is not big, and the amount of information is also very low. The new path Katarina has taken is too simple. It is a path that can be achieved by doing down-to-earth work, rather than a gorgeous blow that hits the vital point. Magical ideas.

This kind of move may only eliminate some wrong directions in the end, and the possibility of directly reaching the correct ending is extremely low. It is the method of a hard-working and stupid person.

Of course, if you are lucky, you can get the correct answer after eliminating the wrong directions, but if you are not lucky, you may not be able to prove anything in the end!

Song He could easily follow Catalina's lecture using only half of his brain power, while the other half of his brain power was diverted to go back and think about the forks she had talked about before, and he quickly lost track of several forks.

If what Katarina said was true and she couldn't rule out those bifurcation points, it meant that her level was indeed a bit low... It was obviously an option that could be ruled out with a little use of her brain.

Song He had a good time, but the scholars around him were not in the right state.

Under the continuous chanting of the great wizard Catalina, the scholars with lower cultivation levels gradually couldn't stand it any longer. Their faces were painful and their heads were sweating. They tried their best to keep up with the train of thought and started a fierce chase in their minds!

Unable to catch up, a group of scholars turned pale, with despair in their eyes, and the atmosphere became increasingly solemn.

Finally, Catalina’s narration was paused, and it was time for free communication and questions.

The scholars in the corridor were shocked and their attitudes had completely reversed:

"Oops, I don't understand anymore. This question is so ridiculously difficult!"

"I can understand half of it. Catalina is really awesome. Maybe she is already the person who knows the Song He manifold best on the planet. Her theory is probably getting better!"

"I admire you! I can't understand it! Such a young scholar can advance his work to such a depth. I feel ashamed! Even Song He himself would have to admire her even if he came here!"

"If Catalina really proves the conjecture of Song He manifold, I think it would be better to rename it Catalina manifold!"

"Support! Song He just had an idea and made a conjecture. The work done by Catalina is the real in-depth work! No wonder she was arranged to give a lecture on the first day! Song He himself couldn't have said it so well even when he came!"

"Maybe Song He won't even understand what she's talking about when she comes."

"Hahaha, this is the truth."

The scholars in the corridor have been completely conquered by the content of the lecture!

Many people couldn't help but blow Catalina, and even couldn't help but change the name of Song He manifold to Catalina manifold.

Song He is full of questions. Will my theory be renamed?

If Catalina is really skilled and completes the proof beautifully, Song He would be willing to generously give up the naming rights of the theory, and would even be the first to take the lead in recognizing the Catalina manifold.

But the point is, what Catalina said is not very clever!

As for holding it to such a high level?

Confused, Song He couldn't help but take out the combat power detector and quietly shot several people around him.

Gold rank, gold rank, master rank 03, gold rank...

Song He is difficult to stretch, a group of low-level players, no wonder these people are so boastful, their level is too bad!

As long as you don't understand it, doesn't it mean you don't understand it?