Schulz: "..."
"I thought mathematicians were very organized people."
What to do
Fortunately, they didn't know that Lu Zhou spent a whole day thinking about this question, otherwise his jaw would have dropped to the ground.
But Lu Zhou was a little worried that if he really told the truth, he would be blocked by this guy.
Topology and differential geometry are the fields in which Perelman is proficient. Compared with the quasi-Riemann hypothesis, problems involving differential manifolds are more interesting to him.
This moment made him so surprised that he doubted his life.
Schultz had a surprised expression on his face and glanced at Lu Zhou strangely.
be honest
Seeing the subtle expectation shining in his eyes, Lu Zhou felt a little embarrassed for a moment.
"Enviable luck, although I don't think it can be explained by luck... So back to the topic, do you have any issues you want to discuss with me here?"
Lu Zhou said cautiously as he really didn't want to add any burden to his life.
"...When did you start studying Hodge's conjecture?"
However, when they heard that Lu Zhou was not really studying the classification of differential manifolds, both Perelman and Schultz had surprised expressions on their faces.
"Generally...but there are exceptions to everything. There are also some people who choose to live a casual life and use the saved time on more meaningful things."
In fact, it is not a lie. Although he has not really entered into the research on this issue, there are still people in his research institute who are researching it, and they often discuss such issues with him.
The physicist stood up and spoke to everyone in a passionate voice.
The entire single apartment, which was less than 20 square meters, instantly became quiet...
Lu Zhou was stunned for a moment, then he came to his senses and said with a smile, "... This is all thanks to Professor Craik's paper published in the "Annals of Mathematics" in 1999, which brought a lot of progress to my research. Inspiration. Of course, it may also be because I was not studying this issue at the time, so I was able to think about it from an angle that ordinary people would not think of."
Lu Zhou smiled sheepishly.
Walking next to Lu Zhou, Albert, the physicist who was ridiculed by Professor Krugman as being more famous for his novels than his knowledge, muttered something in a low voice.
Time passed by, and after staring at the question for more than ten minutes, Perelman had no reaction at all. It was as if he had forgotten the guests sitting here and was completely immersed in his own world.
However, Perelman seemed to believe it, and nodded and muttered as if it was true.
"The room is a bit small, please don't mind."
After receiving the banknotes, under the curious gaze of several people, Lu Zhou wrote down his questions in his notebook and handed it to Perelman.
"OK, wait."
As a result, just when he had almost forgotten about it, at the beginning of the year, he suddenly saw a paper published in the "Annals of Mathematics" by Lu Zhou, who had been studying the Riemann Hypothesis, and actually solved this problem completely.
Schultz: "Can't you stop by and visit an old friend on the way to the IMU conference?"
In fact, he is just as boring as Schulz, or even more boring than the latter. After all, the latter was here to visit an old friend, and he simply came here to satisfy his curiosity about the hermit with the same idea as visiting a place like the Hermitage.
Putting away his surprised gaze, Perelman took a sip of cold water and continued to ask.
As for Schultz, who was standing on the other side of him, he explained awkwardly.
At that time, he was answering Chen Yang's question about the problems he encountered when studying Hodge's conjecture. If it were not for the reminder from the editor of "Annals of Mathematics", he would not even know that he was studying a problem in differential manifold classification. Another expression of a well-known major proposition.
After saying these words, Perelman put the plastic bag he was carrying in his right hand on the ground and took out the keys from his pocket.
Somewhat unable to sit still, Albert stood up and took a look at the notebook, but he was quickly defeated by the lines of calculations that looked like ghostly symbols, and sat back with a headache on his face.
"Can I borrow a piece of paper?"
No wonder many scholars he knew would have strange expressions on their faces when they mentioned this person's name.
As for Krugman sitting next to him, he had expected that he would not be able to understand, but he did not move at all and drank water calmly.
"When I'm not busy."
Soon, Perelman pulled out a dirty notebook and a ballpoint pen with a missing cap from the sofa next to him, and handed them to Lu Zhou's hand.
Looking at the Russian who was deep in thought, Lu Zhou spoke with a guilty conscience.
"I have read your paper, and your understanding of group theory and complex plane problems is impressive. Especially the hyperelliptic curve analysis method used in solving the Riemann Hypothesis... Of course, what surprises me the most is you When studying Sullivan’s conjecture, a complex completely intersection complex algebraic variety
"... Let's take a look." After taking the notebook, Perelman quickly glanced at the calculations on it, with a hint of surprise in his eyes. "Are you studying the Hodge conjecture?"
"Do you want something to drink? Although there is only water and tea here, if you want to drink something else, I can also go out and buy it."
"Okay, there are plenty here."
However, it still feels a bit rude to say it directly.
"Water will do."
Soon, five disposable cups were placed on the table. Perelman then took a 5-liter bottle of mineral water from the side and poured a cup for each person.
Especially the classification problem of differential manifolds. Although this research direction is unpopular, it is unexpectedly impossible to ignore. It can even be said to be one of the core issues of differential manifolds.
All kinds of clothes and daily necessities that haven't had time to be washed are scattered on the armrests of the sofa. The various debris piled on the floor make it impossible to see where to stay.
Krugman took a deep breath. He had been thinking about it for a long time and finally found the opportunity to speak. After clearing his throat, he said solemnly: "We are here this time for a research topic of great significance, which involves many things." Complex mathematical calculations are beyond our capabilities—"
Schultz nodded in agreement: "Me too."
Lu Zhou said bravely: "So be it."
Lu Zhou admitted that although he occasionally did things like throwing clothes away, generally speaking, he would either remember to clean it up himself, or Xiao Ai would obediently clean it up for him.
"Why are you here? I never heard you were coming."
Perelman's room is not far from the stairs, and you can see it if you turn sideways after going up the stairs.
Almost at the same time this sentence was spoken.
"I really envy this kind of life, but it's a pity that it's not me. Since I embarked on the path of mathematics, most of my time has been wasted on useless exercises that have little meaning..." I didn't care about the stranger's opinion of me. Perelman, who was talking quietly and putting the "supplies" purchased this week in the refrigerator, denied Schultz's explanation for himself, walked back, and continued talking as if nothing had happened.
After staring at him for a while, Perelman suddenly muttered in his characteristic "listless but rough" voice.
He seemed a little disappointed with Schultz's statement. After hearing that he didn't come to him with any problems, Perelman immediately lost interest in him, and then his eyes quickly fell on Lu Zhou.
Seeing several people looking at him with strange expressions, he didn't care. He picked up his cup and took a sip. Then he turned his attention to Schultz and the topic went directly to the topic.
Sullivan, who had fully recovered, guessed that he had also studied it, but for a while he couldn't think of any good method and put it aside for the time being.
Not knowing how to answer this question, Lu Zhou chose to remain silent.
"No wonder, it turned out that I was studying the Hodge conjecture. I just said that after reading your paper, I feel that the methods mentioned in it can be used to solve this type of problem... "
"…That's all."
But obviously.
"... That's right. This question is not something that can be explained clearly in a few words." Agreeing with Lu Zhou's statement, Perelman muttered, put away the notebook, and then continued to look at Ke on the side. Professor Lugman and Albert asked, "What about you? If you have any questions, please tell me."
At this moment, an idea suddenly flashed in his mind, and he remembered several issues he and Chen Yang had discussed when they discussed the Hodge conjecture at the Jinling Institute for Advanced Study some time ago.
After all, I am not a gorilla in the zoo. Judging from this man's attitude of not wanting to talk nonsense about unimportant things, he is obviously not the kind of person who likes to socialize.
"...Actually, you don't have to give me a reply right away. It's the same thing if you send me an email afterwards."
"... Sullivan's conjecture?"
Perelman, who devoted his whole life to mathematics, not only had no one who could pack his clothes for him, but also had a very casual attitude towards life.
Seeing Krugman and the stranger also nodded, Perelman's mouth curled up in a rare way, as if showing an unfamiliar smile.
Although Lu Zhou was mentally prepared for the situation in the room, when he actually opened the door, Lu Zhou was still shocked by the situation in the room.
"Gentlemen, do you believe that our future can be predicted?"
However, the words he had been brewing for a long time were interrupted by Albert sitting next to him just as he spoke.
"I have nothing to visit. I feel quite comfortable living alone..."