I am really a language teacher

When Sun Ping and Sun Tao appeared in Daming Lake Park, the park had already been decorated by the Jiangnan Mathematical Association.One side is an introduction to the history of mathematics development, and the other side is a variety of interesting mathematics topics.In order to keep everyone involved, these math problems have certain rewards.Although Sun Tao has the tendency of being a playboy, his achievements are still reassuring.In particular, Sun Tao's grades in mathematics and nature are among the best in the city.So Sun Tao looked at these interesting math problems with great interest, and then began to answer them.Although Sun Ping did not graduate with a major in mathematics, due to the setting of Xueba, Sun Ping's understanding of mathematics is definitely an expert level.He looked at these math problems. Most of the problems were not difficult, but the question maker deliberately set some traps to make the answerers easily confused.Sun Ping watched Sun Tao's answering process. Although Sun Tao didn't have advanced mathematical laws or formulas to help, he still used his intuition to solve these problems in a simple way.That is, within half an hour, Sun Tao probably completed the answers to five questions. Unfortunately, three questions were not the first to answer, so he only got two winning prizes and three commemorative prizes.The value of the prizes is actually not high. The winning prizes may be some toys or small household appliances, while the commemorative prizes are snacks or some exchange coupons.Sun Ping took Sun Tao around and gave some explanations on topics that Sun Tao was interested in but unable to answer.Although Sun Ping is a Chinese teacher, it is not difficult for him to be a math teacher.In fact, according to the math skills given to Sun Ping by the system, it is enough for Sun Ping to go to university to teach advanced mathematics, and it is no problem to explain some math problems to an elementary school student.When Sun Ping and Sun Tao were explaining the topic, a middle-aged man came over enthusiastically, "I don't know the name of this gentleman? Sorry, I just listened to you explaining the topic to this kid, and some of the ideas in it made me Such as enlightenment. I am Li Wenbin from the Jiangnan Mathematical Association. We organized a public lecture with some overseas colleagues around [-]:[-] p.m. I wonder if you are interested? Here are two invitation tickets, and you can sit In the front row." The middle-aged man stuffed two invitation tickets into Sun Ping's hands.Sun Ping had no choice but to say thank you, but seeing Sun Tao's interested eyes, he thought he had to go together later.

At noon, Sun Ping took Sun Tao to the dining area in the park for lunch.Because the two of them saved a lot of coupons, it was enough for them to exchange for a super-large lunch.After lunch, Sun Tao continued to take Sun Ping to the park, because Sun Tao took a fancy to a set of models, but the exchange points for the models were quite high, so Sun Tao planned to continue to collect points.With Sun Ping's explanation on the side, Sun Tao scored a lot of points.When it was almost time for the integral, it happened to be the time for the public math lecture.Different from the earth plane, the children and parents of the water blue plane still worship science very much, whether it is basic science or applied science, they have received enough respect.The public mathematics lecture was held on the big lawn. Although the area of ​​the lawn was large enough, it was still surrounded by enthusiastic audiences.Fortunately, Sun Ping had the invitation coupon given by the enthusiastic middle-aged man, so Sun Ping and Sun Tao could sit in the seating area under the lecture.However, the VIP seats in front were naturally not for Sun Ping, and Sun Ping took Sun Tao to sit in the back seat.Not long after, under the introduction of the host, seven mathematicians, including the vice president of the Aurora Mathematical Society, the vice president of the American Mathematical Society, and the vice president of the Japanese Mathematical Society, took their seats on the rostrum.The host was the president of the Jiangnan Provincial Mathematics Association, and he began to chat with everyone about what mathematics is.These professionals explained the origin and function of mathematics in simple terms, which also made everyone more and more interested in mathematics.

"Two centuries ago, in the year of the founding of the International Mathematical Union, a forward-looking mathematics professor gave a lecture called "Mathematical Problems". In this lecture, he collected a total of 23 It was a very difficult mathematical problem at that time." The host said, "The first to sixth questions are basic mathematics problems; the seventh to No.12 are number theory problems; No.13 to No.18 are geometry problems and algebra questions; No.19 to No.20 are mathematical analysis questions. If mathematics is the crown of natural science, then these 23 questions are the 23 most eye-catching jewels on the crown at that time. Today, some The gem has been obtained by us, and it has helped us go further on the thorny road of mathematics. However, there are still seven gems still shining on the crown, but we have not obtained it. Next, we will talk to you Talk about these seven major mathematical problems. Non-deterministic problems of polynomial complexity, Hodge conjecture, Poincaré conjecture, Riemann hypothesis, Yang Mills theory, Navel-Stoke equation, Bech and Swinton - Dale's conjecture. Of course, I know that many people are hearing these terms for the first time, and I guarantee that most of them will never have a direct connection with these terms in their lifetime. But I must tell you a very interesting thing, in With the support of several enthusiastic people, the International Mathematical Union will offer a reward to all those who are interested in mathematics around the world, and if they solve any of the above mathematical problems, they will receive a reward of one million dollars!"

When the original introduction of these seven mathematical problems, everyone's interest was not particularly high.Because even Sun Ping needs to study the mathematics involved in these difficult problems to understand the "difficulty" of these difficult problems. If it is an ordinary person, they will not be able to understand where these difficulties are, let alone study them.For example, Goldbach conjectures that many people know that Professor Chen Jingrun has proved "1+2", and these people may wonder in their hearts that "1+2" ​​is equal to 3?What is there to prove?So many people think that knowing the seven major mathematical problems is almost enough, and the future has nothing to do with them.

But after hearing that each problem has a reward of one million dollars, everyone's nature is even higher.Seeing that everyone's enthusiasm has risen again, the host continued: "In fact, after so many years of development, many of these seven major problems are already on the verge of being solved. It's a pity that the charm of mathematics is here. We I have been wandering outside the gate of the treasure for so long, but I have never had the opportunity to open the gate. For example: the Yang-Mills equation. If there are friends who have studied high-energy physics at the scene, they must have heard of this theory. In fact The results deduced according to this equation have been confirmed in experiments in many high-energy physics laboratories, but there is still a lack of a rigorous mathematical deduction process to prove it mathematically. If I were to say, this may be the first The seven major problems that have been solved, right? If there are students who are double majors in mathematics and physics, then I must say, study hard, and maybe this first million dollar prize belongs to you."

The mathematics lecture did not last too long, but it left a deep impression on everyone, and even some mathematics science books were bought by the audience.At Sun Tao's request, Sun Ping also bought a copy of "The Diamond in the Crown of Modern Mathematics".This is a popular science book explaining the seven major problems. It tells the origin of the seven major problems and the current progress of their solutions in relatively simple sentences.

No matter how complicated the content is, I will naturally not talk about it, because the papers on these seven major problems are the darlings of the four major mathematical journals "Mathematical Discovery", "Annual of Mathematics", "Journal of Mathematics" and "Proceedings of the American Mathematical Society".Even if people really take it out, it is estimated that ordinary people cannot read and understand it.

Sun Tao happily read a book in the passenger seat, while Sun Ping drove the car back home.When I got home, Aunt Guo had already prepared the meals, and it was rare for Guo Yi to go home for dinner.Seeing Sun Ping taking Sun Tao home, Guo Yi complained rather appetizingly: "You two don't call me when you go out to play?"

"It's not that you are busy with work, and you can't see you at home. Today, I took Sun Tao to the park, and I happened to meet people from the Mathematics Association for activities. Not to mention, they actually invited mathematics from many countries. Professionals from the society come." Sun Ping asked Sun Tao to wash his face and hands, and then he continued, "They talked about the seven major math problems today, which attracted a lot of attention."

"I remember that your math grades in high school were not bad. Could it be that you also want to solve the seven major problems?" Father Sun teased.

"High school mathematics is not enough." Sun Ping shrugged, "At least the doctoral level is about the same. However, some of the seven major problems are already on the verge of being solved. There are shortcuts you can take."

In fact, in scientific research, many people really starved to death at the entrance of the cafeteria.Emotionally, these people are worthy of sympathy.But in any field, only the successful ones will be remembered, while the pioneers who fell before the successful ones will be gradually forgotten.The pioneers used their successes and failures to point out the right path for the latecomers, so that the latecomers can take shortcuts.However, Sun Ping did not choose the Yang-Mills equation, because there are too many researchers on this equation, and Sun Ping was a little worried that he would do useless work.

Under the prompt of the system, Sun Ping chose the Poincaré conjecture.On the earth plane, the Poincaré conjecture was proved in 2003, and by 2006 this proof was recognized by mathematicians all over the world.Unlike the Yang-Mills equation, which also crosses the field of physics, the Poincaré conjecture is a relatively pure mathematical proof.At the same time, the Poincaré conjecture is also considered to be the basis of topology, so if this conjecture can be proved, it will play a very important role in the development of topology and modern mathematics.

Papachiracopoulos is a great predecessor in the study of Poincaré's conjecture, but it is a pity that he failed to prove this conjecture until his death.And to the regret of the entire mathematical community, his proof went the wrong way from the start.However, to the surprise of many mathematicians, the Poincaré conjecture itself has not been proved, but the high-dimensional Poincaré conjecture derived from the Poincaré conjecture has made great progress.

At present, the Poincaré conjecture under the setting of four-dimensional space and five-dimensional space has been confirmed, and even the Poincaré conjecture of higher latitudes has also been proved to be true.But what makes people feel depressing is that the Poincaré conjecture under the most basic three-dimensional setting has not been proved.Sun Ping decided to start from this aspect. Although the system already has a complete proof, Sun Ping must understand this proof.In addition to a complete proof process and equations in a mathematics paper, you must explain these contents in words.Especially in lectures, if you can't even express your own proof, how can you convince everyone?