Seventy-five, fight a tough battle
An army that wins tough battles can be called a strong army. In the same way, a school that can stand out in a tough battle of scientific research can be called a strong school. The team that researched "primary physical fitness enhancer" is led by outstanding young people and is led by doctors.
The school also provides full support and provides samples for them to use as targets. If this does not produce results, I will be sorry for Jiangdong and his father.
But putting all his hopes on this team, Xu Shengzhou is not at ease. What if it happens? So we still have to walk on two legs.
After arranging Chen Kangyan's task, Xu Shengzhou found another opportunity to chat with Xiao Heping and Jian Wentong. Xiao Heping was a chubby and cute little old man who smiled all day long and seemed to never have anything to worry about. After coming to Jinling, except for the occasional
I read literature in the office, write something, and go to this university every now and then to give a lecture, go to that university to have a symposium, or get together with a few old friends I met before, have a drink, and live a happy life.
Tasty and tasty.
Although Jian Wentong has recovered a little, he still cannot walk and relies on a wheelchair to get in and out. However, it is a blessing and a curse. Precisely because he cannot do without the wheelchair, he can only focus on mathematical problems, which has become a problem for more than half a year.
The teacher who has published the most high-quality papers in the school has published two SCI papers in the third area and one Chinese core paper. But Xu Shengzhou also vaguely felt that his creativity was declining. The reason was very simple. No one gave him guidance.
When discussing with him, it is difficult for him to generate sparks of inspiration on his own.
Fortunately, Xiao Heping came at this time.
Xiao Heping, like Jian Wentong, is also engaged in probability theory, which is one of the important reasons why Xu Shengzhou decided to recruit him. However, he is more interested in the medium probability theory of physics. I don’t know whether it is the soil and water that nourishes the person, or the specific historical reasons of the year.
The discipline tradition formed seems to be that mathematics and physics are closely integrated in Northwest China. At Xu Shengzhou's suggestion, Xiao Heping would give a class to all the math teachers and mathematics enthusiasts in the school once a week, and then give a separate class to himself and Jian Wentong.
.The former is for popular science, while the latter is for special research, and the difficulty is obvious.
Xiao Heping still has great respect for Xu Shengzhou, not only because Xu Shengzhou is the president of the school and an academician disciple, but also because he has published two "Four Big" articles and one JAG article in succession, which is really formidable to future generations. Just like now, Xiao Heping is smiling.
He asked: "Principal Xu, what are your orders?"
Xu Shengzhou quickly expressed his disdain: "Teacher Xiao, you are too polite! Senior Brother Jian and I are half of your students after attending your class."
Jian Wentong also chimed in: "We took your class, Mr. Xiao, and we benefited a lot."
Xiao Heping said: "What about class? We are discussing with each other!"
Xu Shengzhou began to get to the point: "But there is indeed something wrong with inviting Teacher Xiao and Brother Jian to come today. At the beginning of last semester, the school held a subject construction conference and decided to focus on building several subjects, one of which is mathematics. But our school
In the direction of mathematics, there are not even a dozen people or seven or eight guns. The subject category of mathematics is so large, with so many secondary and tertiary subjects. We can make a breakthrough in a small and narrow research direction.
Even if it’s successful.”
Xiao Heping took out his cigarette case and handed one to Xu Shengzhou, but Xu Shengzhou refused. When he was in college, he would smoke one or two when he was tired from reading novels or playing games, or when he was bored. Ever since he met that damn guy
System, like a donkey in the brigade without stopping every day, I quit smoking without knowing it, and now I have no plans to smoke again.
When Xiao Heping saw Xu Shengzhou's refusal, he took back his order and took a deep breath before slowly saying, "But your achievements in algebraic geometry and abstract algebra are already very influential!"
Xu Shengzhou shook his head: "Besides me, there is no one else in our school working in this direction. A single tree cannot make a forest. On the contrary, in the direction of probability theory, there are outstanding young people like you and young talents like Brother Jian who have achieved impressive results. If
Not surprisingly, after I graduate with my master's degree, I will also study probability theory for a period of time with Teacher Cheng. With three people in a group, it is obviously more appropriate to choose probability theory as the main direction of study."
Xiao Heping and Jian Wentong couldn't help but say in unison: "Probability theory!"
Xu Shengzhou continued: "So I would like to ask Teacher Xiao to recommend a more promising research direction. It is best that this direction has world-class problems and ordinary small problems, and there are many problems that will not be solved in a short time."
, let the genius get the big one, the hard-working get the small one, everyone can get something, and everyone will not return empty-handed."
Xiao Heping frowned and took another deep breath of cigarette.
Xu Shengzhou thought that his conditions were too harsh, which made Xiao Heping feel embarrassed, and he quickly said: "I know this requirement is a bit much, but it is related to our efforts in the next few years, so we have to be cautious. Please take care of me, Teacher Xiao."
——"
Xiao Heping put out the cigarette butt with all his strength: "No, I have such a research direction at hand. The key depends on whether you can endure the hardship."
Xu Shengzhou quickly asked: "What is that?"
Xiao Heping said: "That is the problem of the stochastic process model of material phase change, or the Ising model problem." He was afraid that Xu Shengzhou would not understand, so he broke it into pieces and explained: "The so-called phase change refers to the matter
How to change form, such as water freezing and objects magnetized. In order to study how ferromagnetic objects change from a non-magnetic phase to a magnetic phase, Hans-German physicist Wilhelm Lenz - not the Lenz of Lenz's law, that Lenz
Heinrich Lenz, who was from the Rakshasa Kingdom, proposed a model in 1920 to describe the internal atomic spin state of ferromagnetic materials and its relationship with the macroscopic magnetic moment. Then he put this
The model was given to his student Ernst Ising, and since then the model has been called the Ising model."
Xu Shengzhou expressed that he understood and expressed his admiration for the great Lenci for three seconds.
"In 1924, Ising solved the one-dimensional Ising model that did not include phase transitions in his doctoral thesis. The two-dimensional model was much more complicated. In the 1930s and 1940s, including the youngest Nobel Prize winner in history,
Many scholars, including Lawrence Bragg, the winner of the Bell Prize in Physics, used the mean field approximation theory to study the two-dimensional Ising lattice model. Until 1944, the American physicist and later the Nobel Prize in Chemistry Russ
·Onsager obtained the analytical solution of the two-dimensional Ising model in the absence of an external magnetic field, which is the Onsager solution. It is already so difficult to solve the Ising model in two dimensions, and it is obviously even more difficult to solve the Ising model in three dimensions. So far, it is still at
At the computational level, no analytical solution has yet been found. As long as someone solves major problems, the Fields Medal will be fine!" Xiao Heping said with a sigh, "I also wanted to do some work in this area back then, but it's a pity.
, the mind is full but the strength is not enough."
Jian Wentong saw that even outstanding young people were daunted by this question, and he couldn't help but feel a little embarrassed: "How about us?"
"Since Teacher Xiao has been exposed to this problem before, and it involves physics knowledge, could you please give us a few classes on this issue and give us a reference book so that we can learn about it first?" Xu Shengzhou has already said
He is not a college student who gets enthusiastic when someone fools him. He has his own weighing and considerations. For example, when choosing which direction of probability theory to focus on as the school's research focus, he will not only seek the opinions of Xiao Heping, but also ask Mr. Cheng and Zhang
Dean Anping and others asked for advice, and then drew conclusions based on their own actual situation. They would not set the tone just by patting their heads.
After Xiao Heping agreed, he comforted Jian Wentong: "Brother Jian, don't worry, I will do my best. Besides, there are only a few of us, so we don't need to go to war. If there is a storm, we can turn around easily."
”
Mathematics is good at this point. Unlike some disciplines, you can't survive without experiments, and you have no right to speak without advanced high-end equipment. Unlike some disciplines, research requires large groups of people to work together, with dozens or hundreds of people working together.
, a single move affects the whole body. Many times, those who engage in mathematics only need a pen and a stack of paper, or a box of chalk and a blackboard, and they can point out the world and criticize others, without the problem of sunk costs.
As a result, Xu Shengzhou spent at least eight hours a day on mathematics, including studying the Ising model, reading the literature sent by Mr. Cheng from time to time, and studying the equilibrium topic "Modulo Space Degeneration and the Stability of Vector Bundles"
"Sex Research". Basically every content is very brain-burning. If it were not for the blessing of "wisdom time (permanent solidification)", he would not be able to handle it even if there are 48 hours a day.
He also took the time to clean up the tasks that had been released by the system master but had not yet been completed, and found that there were quite a few, which could be roughly divided into two categories.
The first category is no penalty for failure to complete, but there are rewards for completion, such as points rewards for running 10,000 meters every day, points rewards for getting sincere recognition from the other party, points rewards for obtaining a degree from a prestigious school, and points rewards and draws for introducing high-level talents.
, mainly used by Xu Shengzhou to earn points on a daily basis and collect money from the system.
The second category involves severe penalties for failure to complete. There are currently three categories: one is for publishing more than 20 papers in formal academic journals in one year, and the progress is currently going smoothly; the other is for the school's "junior to bachelor's degree" within three years, and Su Shanyue is already in
Prepare a plan and advance it one by one; there is also the matter of participating in a scientific research project and achieving scientific research results. The system uncle said: "The reward points for completing the task will be determined according to the level of the scientific research project and the size of the scientific research results obtained." As long as the subject does not have
If it ends, he will continue to work hard.
He has really gained something new these days. He discovered that there is some profound connection between the stability of the vector bundle and the Frobenius homomorphism. The specific details need to be carefully explored. What was he thinking about?
I was in seclusion for ten days and a half to see if I could figure it out. Suddenly I received a call from Mr. Cheng with a very urgent tone:
Chapter completed!