Compared with Shen Qi Quantum Society, which is full of middle-second breath, Ouye Computer Society is much more serious.

According to the Yan University Club Management Regulations, each club in the school needs at least one instructor.

The instructor of Ouye Computer Club is Ouye, and most of the club activities are provided by Ouye.

It sounds like a computer club, but in fact the command of Ouye Computer Club is set up in the Academy of Mathematics.

There is a sign of "Ouye Computer Club" hanging on the door of a room at the end of the corridor on the first floor of the Digital Courtyard. Inside the house, a young man was playing cards with a big girl.

"Sister Ye Zi gave our club another 20,000 yuan, and she gave a total of 80,000 yuan this year." The young man named Zhao Tian, ​​who is the president of Ouye Computer Society.

"Professor Chen has sponsored two thousand in a friendly manner, so, it must be that Sister Ye in their family has the financial power." The eldest girl made a gesture of "I want it more" and signaled to ask for another card...

"Xiaoyun, you're 20 o'clock, you still want it?" Zhao Tian said and gave Xiaoyun another card.

This card is Red Peach A, and Xiaoyun got 21 points.

"Black 10:00 is a nonlinear combination game, which Sister Ye Zi said." Xiao Yun smiled and said, "Senior, we have to work hard. The people from Shenqi Mathematics Society have won the top three in the college mathematics competition and modeling competition. Professor Chen was very happy. He gave 50,000 yuan to reward Shenqi Mathematics Society and helped the people from Shenqi Mathematics Society write recommendation letters to Princeton for further studies."

"Xiaoyun, don't be shaken. We are born with Sister Ye, and die with Sister Ye's ghost." Zhao Tian flipped himself a card, and at 7 o'clock, he also got 21 o'clock in this game: "College students' mathematics competition, modeling competition is nothing. If Professor Chen doesn't help us write a recommendation letter, Sister Ye will definitely help. Have you applied for your Hong Kong and Macao pass?"

"It's done." Xiaoyun nodded and said.

"Okay, proceed as planned." Zhao Tian reshuffled the cards and continued to practice poker with Xiaoyun.

There were three people in this room, and another boy stood in front of the blackboard and remained silent, like a plant.

Zhao Tian looked at the boy: "Zeng Han, are you going with us?"

Zeng Han said coldly: "If you want to die, go to the casino. If you want to die, I don't want to."

"You know Zeng Han, we don't want to go to Macau for money, we just want to study mathematical problems." Zhao Tian advised him hard that Zeng Han's junior was a mathematical genius.

Zeng Han stared at the blackboard without turning his eyes and said, "You can go to die. Every Qingming Festival, I will burn paper money with you."

"Hey, you guy!" Zhao Tian threw down the playing cards in his hand and came to Zeng Han to observe Zeng Han's works on the blackboard.

First, it is a right-angle triangle with its side lengths of 3, 4, 5.

It is easy to get the area of ​​this triangle is 1/2 times the base times the height = 6.

This is actually a Pythagoras right triangle, which also involves an ancient mathematical problem: given a positive integer d, is there a right triangle with a side length that is a rational number and an area that is exactly d?

Using high school mathematics knowledge, it can be proved that the necessary and sufficient condition for a right-angle triangle with a side length of rational numbers and an area of ​​d is that the rational number solution of equation y2=x3-d2x to x and y≠0.

Use university mathematics knowledge to make a further interpretation. When and only if d is the area of ​​a right-angle triangle with a side length of rational numbers, this equation has a rational solution to x and y. The discriminant equation of this equation △=-16=64d6, it is not equal to 0, so the image of this equation is an elliptic curve.

Linking high school mathematics knowledge with university mathematics knowledge, that is, finding out which integer d can become the area of ​​a right triangle with a rational side length, which is equivalent to finding rational points on a certain elliptic curve.

This is the problem that British scholar Birch and Swinnerton Dell wanted to solve throughout their lives, and the academic community called it the BSD conjecture.

"Brother Zeng Han, I support you in studying the BSD conjecture. In fact, Xiaoyun and I are also very interested in the BSD conjecture." Zhao Tian drew an ellipse in the air. He was in his senior year and had been admitted to Yan University Mathematics Academy. Anyway, he had already been admitted to the graduate school, so Zhao Tian had enough time to organize the club activities of the Ouye Computer Society.

"Oh." Zeng Han snorted without expression.

Xiao Yun, who was in his junior year, came to Zeng Han and said, "Brother Zeng Han is always so serious, just laugh at him."

Zeng Han's mouth moved slightly: "Ha."

"Such handsome guy is actually a facial paralysis, hey." Xiaoyun sighed. She looked at the mathematical symbols on the blackboard and said: "The bsd conjecture is classified as number theory, but it actually involves many other mathematical branches. We all know that the necessary and sufficient condition for proving that there are infinite rational points in the elliptic curve is l=0, that is, the bsd conjecture is proved. However, this is really difficult."

As he was talking, Xiaoyun wiped half of the blackboard with the blackboard, and then wrote a stereotyped q on the blackboard, representing the rational number set.

Xiaoyun wrote more and more. She said while writing: "e is an Albert group. In 1922, Model proved that the group e is finitely generated. More than 60 years later, Faltings proved the Model conjecture. In a few years, Wiles proved the Fermat's theorem... Connect these mathematical histories, we can find that the way great mathematicians solve the number theory problem is often not a number theory method, with only one exception, Professor Shen."

Zhao Tian: "Hey, Xiaoyun, what are you talking about Professor Shen? Professor Shen doesn't love us, but Sister Ye Zi loves us."

Xiaoyun smiled foolishly: "Because Professor Shen is so handsome."

"Don't interrupt." Zeng Han said to Zhao Tian dissatisfiedly, and said: "Senior sister, I agree with your point of view, proving that the BSD conjecture must use elliptic curves and group theory methods. Sister Ye Zi said so. The biggest problem now is, how to calculate the rank or whether the rank can be arbitrarily large? I think we should find clues in this regard."

"Well, yes, but it's so difficult." Xiaoyun tilted his head and fell into deep thought.

The serious research of three undergraduates in how to prove the BSD conjecture seems to be a bit overestimated.

BSD conjecture, if one of the millennium problems in mathematics is solved by several undergraduate students from Yan University’s Mathematics Institute, what is that?

Crunch.

The door opened and there was a person coming in. She was beautiful and intelligent, wise and knowledgeable, kind and generous, and was the mother of a child.

"Hello Sister Ye Zi!"

The three students stood attentively, and the goddess of their club came.

"Hello you guys." Ou Ye smiled, and she said to Zhao Tian: "Xiao Zhao, does anyone in our club want to go to Columbia University for a year? There is a place."

Zhao Tian: "Of course there is. I'll go and count it later."

Ou Ye studied for a master's degree at Columbia University and then went to Princeton to study for a doctorate.

Shen Qi's performance at Princeton was too dazzling, which to some extent made Ou Ye under his aura when he was studying for a doctorate in Princeton, so that he covered up Ou Ye's own brilliance.

But Ou Ye still has a good reputation in Columbia University, and Columbia University also bought her account.
Chapter completed!