A perfect score on the college entrance exam? The Preface to the Pavilion of Prince Teng has astonis

Chapter 67 Peking University Steps In! Has the Poincaré Conjecture Really Been Proven?

The group chat was quiet for a long time.

Then a reply appeared, from the old professor with gray hair.

"Professor Lin, you said the most outstanding student, I want to correct you—he's not a student, he's a mathematician we can never reach in our lifetime. An eighteen-year-old mathematician."

Lin Zhiyuan stared at the line of text, remained silent for a long time, and then replied with two words.

"agree."

Another message popped up; it was from another professor.

"He's currently applying to the Chinese Literature department. Should we try to get him to transfer to the Mathematics department?"

Lin Zhiyuan replied.

"No need. No matter which department he's in, he's a student at Peking University. His department doesn't change the fact that he's one of the greatest mathematical geniuses of our time."

The group chat fell silent again.

No one refuted.

Because he is right.

In the professors' group at the School of Mathematical Sciences, Peking University.

The message instantly gained everyone's approval.

That is, Professor Lin Zhiyuan proposed to form a special team to conduct research and verification of the Poincaré conjecture.

The suggestion was unanimously approved within ten minutes.

It's not a vote, it's a consensus.

Everyone knows.

Verifying the Poincaré conjecture is not a task that can be accomplished by one person alone.

It requires the joint participation of experts from multiple fields, including differential geometry, topology, partial differential equations, and dynamical systems.

Every lemma, every corollary, every step.

They all need to be examined repeatedly under a magnifying glass.

The team leader is Lin Zhiyuan.

He is the person in China who understands Richie style the most, without exception.

The core team consists of seven people, covering every key area required to prove the Poincaré conjecture.

They were divided into seven groups.

Each group is responsible for one part of Chen Mo's paper.

Lin Zhiyuan was responsible for overall coordination and the verification of the most critical core ideas.

first day.

A group leader and his team verified the first part of the paper.

The formulation of the Poincaré conjecture and the introduction of Ricci flow.

They spent a full eight hours going through Chen Mo's first derivation from beginning to end.

The group leader took off his glasses, rubbed the bridge of his nose, and said something to the group members.

"No problem. His statement is precise, and the definition and evolution equation of Ricci flow are completely correct."

the next day.

A partial differential equations expert and his team verified the existence and uniqueness of the Ricci flow evolution equation.

This forms the basis of the entire proof.

If the solution to the Ricci flow does not exist or is not unique, then everything that follows is just wishful thinking.

They spent six hours re-deriving the model within the framework provided by Chen Mo. Then, the group leader leaned back in his chair and let out a long sigh.

"That's right. His existence proof used the standard method, but his uniqueness proof used a technique I hadn't thought of—he introduced the reduced volume into the uniqueness proof. That's a brilliant technique."

Day three.

The singularity analysis team verified the core part of the paper.

Classification and reduced volume of singularities.

This is the key contribution of Perelman, and also the toughest part of the entire proof.

The group leader stared at Chen Mo's derivation for a full ten hours, only eating a bowl of instant noodles in between.

At 10 p.m., he stood up, walked to Lin Zhiyuan's office door, and knocked.

"Professor Lin, I've finished reading it. His handling of the volume reduction part is more concise than I expected. Not simplification, but conciseness—every step is just right, without any superfluous words, skipped steps, or ambiguity."

"He proved that the reduced volume is a monotonically decreasing function, and used this monotonicity to control the structure of the singularity. I believe he is correct."

Day 4, Day 5, Day 6.

Seven groups, seven parts, and everyone is doing the same thing.

Read, verify, discuss, read again, verify again, discuss again.

The office was piled high with printed papers.

Every page was filled with red, blue, and black annotations.

Some people drew formulas all over the blackboard, some were modeling and calculating on the computer, and some were arguing with their colleagues while walking in the corridor.

The entire Peking University Mathematics Department is like an engine running at full power.

It was buzzing and turning, all the parts were spinning frantically, and all the force was directed in the same direction.

On the seventh day, Lin Zhiyuan compiled the verification reports from the seven groups together.

I read it from beginning to end.

His fingers flipped through the pages.

He turned the last page, closed the report, took off his glasses, and placed them on the table.

He leaned back in his chair, closed his eyes, and remained silent for a long time.

The office was so quiet that you could hear the ticking of the clock on the wall, the rustling of the leaves in the wind outside the window, and your own heartbeat.

He opened his eyes, picked up his phone, and typed a message in the professors' group chat.

"Seven groups have completed the verification and found no loopholes. The Poincaré conjecture has been confirmed."

The group was silent for a full minute.

Then the news came flooding out like a burst dam.

Some people sent a long string of exclamation marks, some sent a fireworks emoji, and some sent the word "finally".

Someone posted: "I've studied 3D manifolds my whole life, and I never thought I'd see this day. Thank you, Chen Mo."

Someone else posted: "I proved something I could never have proven in my entire life. But I'm so glad, so glad that it was him who proved it."

One person couldn't help but ask, "Professor Lin, when will the paper be publicly released?"

Lin Zhiyuan replied with two words: "Now".

The official account of the School of Mathematical Sciences at Peking University released an announcement at 10:00 AM.

The announcement's title consisted of only one line.

"Regarding the verification results of our student Chen Mo's proof of the Poincaré conjecture."

The main text consists of three paragraphs.

The first paragraph is the conclusion.

It has been fully verified by the Poincaré Conjecture Verification Special Group of the School of Mathematical Sciences, Peking University.

Chen Mo's proof of the Poincaré conjecture is correct, complete, and without flaws.

The second paragraph describes the process.

The verification work was led by Professor Lin Zhiyuan, with the participation of seven groups and twenty-one experts. Over seven days, the seven main parts of the paper were reviewed word by word.

The third paragraph is about significance.

The proof of the Poincaré conjecture is a major breakthrough in the history of mathematics, and Chen Mo's contribution will be recorded in history.

The signature is from the School of Mathematical Sciences, Peking University.

This announcement was forwarded 100,000 times within the first minute of its release.

It didn't spin slowly, it spun instantly, like a bomb exploding on the internet, with fragments flying to every corner.

on Weibo.

The hashtag "Peking University confirms Poincaré conjecture" was followed by a purple "Explosive" sign, and its readership exceeded one billion within half an hour.

On Douyin (TikTok).

Chen Mo's account has surpassed 40 million followers.

...

...

Tap the screen to use advanced tools Tip: You can use left and right keyboard keys to browse between chapters.

You'll Also Like