CHAPTER 289: CHAPTER 119 CONGRATULATIONS, YOU HAVE WITNESSED SOME BEAUTIFUL SCENERY

"...We know that when studying algebraic curves, the choice of spine and the construction of autonomous forms are key... The main issue lies in the fact that Galois representation may only be valid in specific p-adic environments, when we establish a p-adic number field..."

Professor Everton’s report kept drilling into Qiao Yu’s ears, but at this moment, Qiao Yu’s mind was completely filled with various lines.

Just a little bit more, a little bit more...

Not these things...

Because it has already been demonstrated in the paper...

The author used numerous restrictions very cautiously to ensure the correctness of the results and to find a different path.

Wait a minute...

Picking flaws shouldn’t be constrained by existing ideas. As long as it stays within the framework built by the counterpart, without exceeding the framework, one can freely define...

An extraordinary singular point, but not a common singular structure...

"I’ve got it!" Qiao Yu suddenly exclaimed excitedly.

The conference room immediately fell silent, with countless eyes focusing on the front row.

The professors in the back could only see the back of heads. However, the big names sitting in the first row, along with Professor Everton on the stage, stared in bewilderment at this suddenly excited youth who had called out.

After all, it was indeed quite impolite, even if Qiao Yu was just an underage child.

Especially Pan Jingyuan, who sat closest to Qiao Yu, was startled by the shout, completely perplexed...

Qiao Yu also quickly realized: Fuck, I messed up!

So, like a reflex, the young man bounced up from the chair and immediately apologized: "I’m very sorry, Professor Everton, and all the teachers present. It’s just that the content Professor Everton just discussed was too brilliant!

It gave me tremendous inspiration, suddenly making me think of a very special counterexample, which seems able to prove that there is a local-global error in the proof section of the series of papers recently published on ArXiv by Professor Dennis and Professor Sam regarding the Ambidexterity Theorem.

This idea got me overly excited, and I was too absorbed in my thoughts just now, so I forgot I was attending a lecture. I’m sorry, truly very sorry!"

After speaking, Qiao Yu slightly bowed to Professor Everton on the podium.

When Qiao Yu finished speaking, the conference room became even quieter.

Many professors related to this series of seminars were invited to attend, but whether it was Yuan Zhengxin or Tian Yanzhen, they naturally could not truthfully inform them that their student wanted to refute the papers recently published by Danis and Sam.

Because that would indeed be too offensive.

They were simply invited under the name of discussing the Geometric Langlands Conjecture.

Experts from abroad, domestically, from Huaqing, Yanbei, and also Shuangdan University, all gathered to discuss.

Although everyone knew that after several exchanges, it would inevitably involve those five recently popular papers, perhaps no one expected that in the first lecture, the youngest guy in the conference room would directly jump up intending to challenge the opposite arena.

Yuan Zhengxin didn’t expect it either, so his gaze also fixed on Qiao Yu.

Inspiration coming is a good thing, and it’s understandable. Even excitement is normal, but whether the counterexample in mind has value is questionable!

Hmm, naturally, Professor Everton on the podium didn’t expect it either. He subconsciously glanced at Pan Jingyuan beside Qiao Yu.

Professor Dennis had once introduced this student to him, so he naturally recognized Qiao Yu.

Last night, he even invited Pan Jingyuan to discuss some ideas about the proof process with his mentor.

He couldn’t quite understand why the young person beside Pan Jingyuan suddenly stood up and said these words.

This Professor Pan’s expression was indeed very peculiar at this moment...

However, he didn’t look at him but was staring blankly at Qiao Yu standing beside him.

Professor Everton’s gaze fell on Qiao Yu, and after thinking for a while, he said, "I can accept your apology, but you must convince me with the content you just came up with. If you can make me think it’s genuinely brilliant, I’d not only be willing to forgive you but even thank you for adding some extraordinary value to my lecture."

Qiao Yu instinctively turned to glance at the mentor sitting in the first row.

Elder Yuan first glared at him, then imperceptibly nodded, so Qiao Yu was no longer reserved and immediately began speaking: "Okay, Professor Everton, here’s what I think. First, let’s assume..."

Everton waved at Qiao Yu and said: "Child, it’s not polite to present your thoughts standing down there. Come on, come to the stage and speak. I bet your mind hasn’t prepped a PPT, so..."

Saying that, Everton glanced back and then smiled: "There happens to be a blackboard here."

The master has spoken, and with the mentor’s approval, the ever-bold Qiao Yu immediately left his seat and walked up to the podium.

It’s perfect, the ideas in his head were a bit jumbled, and explaining could help straighten his thoughts out.

"Ladies and gentlemen, here’s my thought process: let’s first assume a type of singular point in an algebraic variety. This singular point is different from known singular structures, such as cusps, nodes, or conical singularities, possessing a globally intricate, spine-like expansion.

The point is, its local geometric structure shares conjugate relations with other distant points in the algebraic variety, even non-adjacent singular points. So, firstly, we need to define its local manifestation. Suppose in A3 or a higher-dimensional geometric space, its characteristic equation should be..."