DeWitt is sitting in a wheelchair, and Deng Puhe is pushing a wheelchair. They are like a pair of good brothers.

The three young mathematicians quickly stood up to say hello, their faces filled with excitement as they were meeting the emperor, and they were meeting two emperors at the same time!

"Although I came late, I brought Deng Puhe over, buy one and get one free!" DeWitt joked, "The highest-standard DeWitt dinner ever, full of sincerity!"

"I'm here to have a meal!" Deng Puhe laughed, "Someone is treating me. If you don't eat, you won't get it for free!"

DeWitt and Deng Puhe took their seats, and the three young mathematicians also sat down with some restraint.

"I have already ordered the food and it will be served later. Please trust my taste." DeWitt said with excitement, "I am not the kind of fake gourmet who eats General Tso's chicken. Every year I go to Tsinghua University or Peking University. When I was a visiting professor for a month, Deng often took me to eat in good restaurants, and I was familiar with all the major cuisines! After a few years, I ran out of ideas, so I changed my career to become a gourmet!"

The three young mathematicians quickly expressed their expectations. They would not pick and choose when someone is treating them, and just eat whatever is served. In such a high-end place, they would not bring two basins of instant noodles.

"In the past few days, several doctoral students I have been leading are preparing to choose the direction of their graduation thesis." DeWitt changed the topic and became serious, "They sent me some reference questions this morning. I want to hear your opinions. After we have briefly discussed these topics, you can ask me if you have any interests."

As he spoke, DeWitt reached behind his back, pulled out a black leather bag, and took out a few pieces of paper.

The three young mathematicians stood up quickly, took a piece of paper from themselves, placed it on the table and looked at it carefully.

Song He immediately understood what the old man was talking about. Who knows whether the so-called doctoral thesis is true or false, but taking these questions to conduct a pop test was true. DeWitt also wanted to touch the bottom of the attendees.

To put it bluntly, this is a small test paper!

The atmosphere at the dinner table suddenly became tense. The three young mathematicians were working hard to read the questions. DeWitt and Deng Puhe were whispering in low voices, just like two invigilators.

"Don't be too nervous, just listen to your ideas, any ideas are fine. I may steal some of your ideas and pass them on to my doctors." DeWitt smiled, "Do you have any ideas for the first question?"

Galois's eyes hesitated, but he still spoke first:

"The first question... I think we can construct a space as a k-fold complex space and express it using a single-path action. We only need to add a limited number of points based on the question and... and..."

DeWitt also held a small test paper. After listening carefully, he nodded and looked at Galois kindly, "And what?"

"Expand the holomorphic mapping to G!" Catalina suddenly added, "Galois's approach is to treat it as a local problem first, and express the elements in the corresponding permutation group as the product of intersection-free circles!"

"That's right!" Galois glanced at Catalina gratefully, "I think this approach can solve the problem."

"Very good!" DeWitt smiled.

"I think we can start from another direction." Catalina entered the state. "Since it is known that J is a branch cover, then j can get an inverse mapping, which means that the overlapping space is trivial."

"It's also possible that the overlapping spaces are not connected." Galois suddenly added.

"Yes, it goes against the facts in the question, so we can't get the inverse mapping of J on the perforated plane Ω." Catalina spoke faster, "It's better to introduce a new variable to specifically consider the algebraic varieties in L, and By limiting the projection mapping a, you can get the required branch coverage."

DeWitt held the small test paper and raised his eyebrows slightly, "Well, that makes sense! What next?"

"Then..." Catalina suddenly got stuck.

"Is this possible?" Galois hesitated and said, "The limited coverage map here is smooth and homotopic to the standard map, so you can try to assume that c1 is given by H, and then paste the standard map and try to get n branches Cover jn and do this for all j, you can get..."

"Get a branch coverage mapping!" Catalina was pleasantly surprised, "Yes, the required conditions are met. After all the local parts are solved, the overall branch coverage will be solved, and the rest will be easy!"

"There is a detail to pay attention to here..." Galois took over again.

Galois and Caterina were completely in the mood and kept advancing the topic. You said each word and I spoke very quickly.

It was as if the two were running in a relay race on the playground, handing the baton to each other after each lap. The other would choose a new track to sprint around quickly, and then come back to hand over the baton. They quickly formed a tacit understanding.

DeWitt looked at the small test paper, humming twice from time to time, smiling kindly, as if appreciating the younger generation.

Deng Puhe did not read the topic, silently observing the expressions of the three young people, and finally focused on "Tang Jiang".

Tang Jiang sat aside, staring at the test paper without saying a word. He looked up from time to time to look at the two companions who were flying up. His face was expressionless, and he had an aloof calmness about him. He seemed not to care about Katarina and Jialuo at all. Wa's problem-solving steps are just waiting for the food to be served.

After a long time, DeWitt also raised his head and looked at Tang Jiang.

"I almost understand what Katerina and Galois are thinking. Tang Jiang, why don't you say anything? Do you have anything to add?"

Song He spoke with an awkward smile, "I didn't follow."

Catalina was stunned for a moment and turned to look at him suspiciously.

When Galois heard this, the nervousness on his face eased a lot. It seemed that someone was at the bottom.

"I have another idea." Song He added, "Regarding the discussion of multi-valued holomorphic functions, we might as well consider the corresponding algebraic curve J."

There was sudden silence at the dinner table.

Galois and Caterina stared at the test papers in their hands, frowning, with blank expressions.

DeWitt also frowned slightly, thoughtfully, "Then what?"

"Considering that a multi-valued function may have a fulcrum at infinity, then according to the situation at infinity, find an equivalent compactification of x on the algebraic curve, clarify the projective space in the question, and calculate its corresponding polynomial Let's make it uniform." After Song He finished speaking, he picked up the tea cup and took a sip of tea.

Galois frowned more and more, "It doesn't seem to work, does it?"

Catalina hesitated for a moment, said nothing, and looked up at DeWitt.

"According to what Tang Jiang just said, it really won't work." DeWitt said, "There is a fatal point."

"Is there any?" Tang Jiang was stunned.

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