Top Student at Their Peak
Chapter 334 - 126 Qiao Yu, You Really Are a Super Genius!_4

Chapter 334: Chapter 126 Qiao Yu, You Really Are a Super Genius!_4

The Philosophy Department is very close to the South Garden canteen.

Qiao Yu usually doesn’t crash early morning classes, so wherever he audits a class, it’s basically mealtime by the time he’s done, and he eats at the nearby canteen.

During this period, he’s tried almost all the canteens on the Yanbei campus.

He’s also got a good idea of each place’s signature dishes.

Just as he was enjoying his meal, he got a call from Senior Brother Chen.

"I... Qiao Yu... you, you, you..."

"What’s up, Senior Brother Chen?"

"You’ve been invited to attend the World Algebraic Geometry Conference, and you’re going to give a thirty-minute presentation?"

It took quite a while for Chen Zhuoyang on the other end to get this sentence out smoothly.

"Huh? No way? Senior Brother Chen, this was decided a long time ago. You’re the Mr. All-Knowing of our Math Research Center, how come you’re just finding out now?"

After a long pause, he squeezed out a sentence: "No one told me, and you didn’t mention it either, how would I know?"

Qiao Yu replied, "Well... I was thinking that since you’re leaving school next month, I didn’t want to bother you with it. But really, who went and blabbed...?"

"Just earlier, Professor Zhou gave your passport to Director Tian, and I happened to bump into him. Professor Zhou casually mentioned it."

Qiao Yu felt that Senior Brother Chen knew how to flatter people subtly. For example, through his earlier excitement that made him incoherent, and his slightly aggrieved tone now, he managed to give Qiao Yu a lot of emotional satisfaction.

So Qiao Yu followed up with, "Oh, it’s just the Algebraic Geometry Conference, not the World Mathematician Conference, you don’t need to be so excited. If I’m ever invited to give a sixty-minute presentation at the World Mathematician Conference, there’s still time for you to be happy for me."

Saying this wasn’t really trying to show off, it was just to let Senior Brother know that he understood these subtle flattery tactics.

"Oh, where are you now?"

"In the South Garden canteen."

"Why go so far just for a meal?"

"Just went to the Philosophy Department to audit a class on truth. The professor was quite engaging, but it’s like I listened without really listening. Sigh... maybe I’m not cut out for philosophy?"

"Why would you go to the Philosophy Department? What useful things can they teach? Talking about truth, those philosophers are always so vague with their definitions. Their arguments could just be purely idealistic. Let me tell you, mathematics is the real truth. Right is right, and wrong is wrong. It’s very clear-cut."

"Sigh, Senior Brother, you don’t understand. Recently I’ve been getting a mental block from working on my project, and listening to this stuff feels interesting and helps relax the brain."

"Don’t listen to that nonsense. If we’re talking about the clash of ideas, the description of mathematics is the most beautiful. During one of his lectures, the boss said something about symmetry: ’seek the unchanging in the changing, find simplicity in complexity.’ Isn’t this mathematical thought way more interesting than that philosophical mumbo jumbo? You better not let those abstruse theories lead you astray."

Chen Zhuoyang’s words struck a chord with Qiao Yu, like a switch was activated, causing him to subconsciously ask, "Wait a minute, Senior Brother, what was it Director Tian said? That transformation...?"

"Hmm? Seek the unchanging in the changing, what’s wrong?"

"Oh, nothing, I didn’t hear clearly. I’ll head back after I eat, hanging up now."

"Hey, no rush, I just called to ask about that situation... wait... hmm, hung up?"

Qiao Yu directly hung up the phone, not hearing the rest of what Chen Zhuoyang said.

Seek the unchanging in the changing, find simplicity in complexity.

Qiao Yu remembered that Professor Zhang seemed to have talked to him about a similar topic before, though not using the same words.

But combining it with the problem he’s been contemplating recently, it seemed like a ray of light pierced into his brain.

The core of a commutative heap is the set of commutative elements. In a commutative heap, the order of different elements does not affect the overall properties, which itself constitutes a kind of symmetry. So here’s the question: do some global functions in a commutative heap also exhibit similar invariance?

One of the biggest challenges in Professor Li’s project right now is that the computation of global functions usually involves multiple variables and complex combinations. All of his previous attempts have faced steep computational costs, leading to dead ends.

If symmetry could be effectively used to extract invariant features, perhaps the cumbersome calculations could be transformed into more intuitive analyses.

Especially if global functions could be viewed as invariant forms under the action of some transformation group, could this perspective reveal the relationship between global functions and the Whitaker Layer?

If successful, then obviously, analyzing global functions from the perspective of invariance will make complex problems become clear. If this transformation is feasible, it will not only be a theoretical breakthrough but could also provide a concrete computational method.

Thinking of this, Qiao Yu’s mind immediately began to diverge.

The first step, naturally, is to construct an appropriate transformation group to analyze how the global functions perform under the action of this group.

Quickly building various possible transformation methods in his mind, on how to map global functions to a new space through the action of a transformation group, and use this space to simplify calculations and analyses...

...

"Hey, Xiao Yue, do you think that guy has been staring at you all the time? Xiao Yue."

Zhao Xiaoyue followed her friend’s gaze and glanced over, saying in embarrassment and annoyance, "Oh, stop it, he’s clearly just zoning out."

"Yeah, he’s dumbstruck by your beauty, so he’s zoning out. Haha..."