God-level selection: choose the college entrance examination full score at the beginning

Topological Quantum Field Theory

Cheng Hao left Nassau Hall with his student card and his freshman enrollment handbook dormitory key.

After leaving the door, Senior Brother Wang Yiming was still waiting for him.

“Brother!”

“How is it? Is it done?”

Wang Yiming asked Cheng Hao with a smile.

“done!”

Cheng Hao nodded.

“By the way, I haven’t asked yet, which advisor is your doctor following?”

Wang Yiming suddenly thought of something at this time, and he asked Cheng Hao curiously.

Cheng Hao smiled, and said helplessly.

“I still have to go to the interview by myself, but the previous Professor Witten once offered me an olive branch, and I’m still considering it.”

“Professor Witten!”

Hearing Cheng Hao’s words, Wang Yiming was shocked immediately. He looked at Cheng Hao in front of him with a curious look in his eyes and asked Cheng Hao: “That’s a master who won the Fields Medal! And he is in the field of physics. It’s also the top group of people! Why don’t you agree?”

Seeing Wang Yiming’s curious eyes, Cheng Hao shrugged.

“I am particularly impressed by his achievements, especially his use of Jones polynomials to explain the Chen-Simons theory. I particularly like his research, and I think it is one of his best achievements in the field of pure mathematics , this research has profound implications for low-dimensional topology and leads to the derivation of quantum invariants.

I personally think that this should be his highest achievement in mathematics, but I…”

Cheng Hao’s voice hadn’t finished yet, when a passing student heard him.

“Professor Witten’s greatest contribution should be his research on topological quantum field theory. This research is truly wonderful!”

A white student with messy hair pushed his glasses, looked at Cheng Hao and said seriously.

The white boy looked at Cheng Hao in front of him calmly.

Hearing the boy’s words, Cheng Hao was stunned for a moment, and looked at Wang Yiming at the side. At this time, Wang Yiming also looked at Cheng Hao in front of him.

The two looked at each other.

“Brother, there are still quite a few lunatics doing scientific research in this school, let’s go!”

Wang Yiming said to Cheng Hao with a wry smile.

“Not in a hurry.”

Cheng Hao pondered for a while, looked at the white boy in front of him and said: “I’m talking about Professor Witten’s research in the field of pure mathematics. The reason why the International Mathematical Union awarded the Fields Medal to Professor Witten is because of the Jones polynomial to explain the Chen-Siemens theory, which leads to quantum invariants and has had a profound impact on the world of pure mathematics.”

“However, topological quantum field theory is also of great significance in mathematics, and is related to branches such as knot theory, 4-manifolds in algebraic topology, and moduli spaces in algebraic geometry.”

“4-dimensional topological Yang-Mills theory. Although the action functional contains the space-time metric gαβ, after the topological distortion, the theory becomes metric-independent. The independence of the system stress-energy tensor T on the metric depends on Depends on whether the BRST-operator is closed.”

The white boy looked at Cheng Hao in front of him solemnly and said.

Cheng Hao understands this point.

He had to admit that topological quantum field theory does have enough significance in the field of mathematics, at least in topology and algebraic geometry.

“Indeed, topological quantum field theory also has extremely important significance in the field of mathematics.”

Cheng Hao shrugged.

The white boy nodded. He didn’t continue to say anything to Cheng Hao. He turned around and was about to leave.

“WaitWhat’s your name? ”

Cheng Hao looked at the white boy in front of him curiously and asked.

He was quite curious about this guy. These days, there are not many such serious guys. He just said what is the best academic achievement of Professor Wei Teng.

It turned out that the boy in front of him heard it, and actually stood there arguing with himself for a long time. This is quite rare!

At this time, the boy in front of him slowly raised his head, looked at Cheng Hao, and said calmly.

“My name is John Wilson.”

Wilson looked at Cheng Hao in front of him and said.

Hearing what he said, Cheng Hao nodded, and he smiled and said to Wilson in front of him, “Hi, Wilson, my name is Cheng Hao.”

“Cheng Hao?”

Hearing Cheng Hao’s name, Wilson’s complexion finally changed. He looked at Cheng Hao with a hint of surprise in his eyes.

“Are you the Chinese mathematician who solved Zhou’s conjecture and then the twin prime number conjecture?”

“Yes, it’s me.”

Cheng Hao smiled, looked at Wilson in front of him and said.

“Can you tell me that in the 79th line of your paper, the discussion of Mersenne numbers directly and abruptly mentions n=(2n, m), so that the even-order cyclic group G has a unique 2-order element a^n, I don’t quite understand this line…”

Wilson looked at Cheng Hao in front of him with probing eyes.

Looking at the scene in front of him, Wang Yiming almost collapsed.

“Student, let’s go! Your luggage is not light!”

Wang Yiming said to Cheng Hao with a wry smile.

Hearing Wang Yiming’s words, Cheng Hao hesitated for a moment. At this time, Wang Yiming hurriedly said to Wilson, “This classmate, Cheng Hao, just came to the United States from Huaxia, and he has been flying for almost a day. He needs to rest. , look, why don’t you ask tomorrow?”

Wang Yiming said tentatively to Wilson in front of him.

Wilson pushed his glasses. He looked at Cheng Hao in front of him seriously and said, “It’s just right, I’m going back to the dormitory too. I’ll go to the dormitory with you first. I want to hear your thoughts!”

“also!”

Cheng Hao nodded.

Hearing Wilson’s words, Wang Yiming suddenly showed a hint of helplessness.

This is too difficult!

But there is no way, Cheng Hao, the person involved, agreed, so what else can he say.

Soon, following the path indicated in the student handbook, Cheng Hao came to the downstairs of his dormitory.

“You live in this building?”

Seeing the building in front of him, Wilson turned his head, looked at Cheng Hao curiously and asked.

“yes!”

Cheng Hao nodded.

“I live here too.”

Cheng Hao: “…”

Wang Yiming: “…”

No, brother, can you ask which building we live in, and then say, don’t you know how to chat? ?

After walking for so long, you only told us when you got downstairs that you also live here. Do you have some serious illness?

Cheng Hao rolled his eyes in his heart.

“What floor is it?”

Cheng Hao was a little powerless to complain, but he still asked Wilson in front of him.

“The third floor.”

“I’m also on the third floor!”

Cheng Hao was taken aback for another moment. He lowered his head and glanced at his key. Room 302 was written on it.

“It seems that we are neighbors!”

Wilson looked seriously at Cheng Hao in front of him and said.